Source Code

This is a reconstruction of the AGC program Luminary 99 Rev 0. It was the second release of the Lunar Module flight software targeted for use in Apollo 11, after Luminary 97. A bug (which had been around since at least Apollo 10, Luminary 69) was discovered in Rev 0 shortly before the Apollo 11 flight, resulting in a last minute revision into Rev 1, which is what actually flew rather than the Rev 0 presented here. A hardcopy of Rev 0 is known to exist — it belonged to AGC developer Allan Klumpp for many years — but unfortunately the Virtual AGC Project has not had access to that hardcopy. Thus the code you see here had been reconstructed (we believe accurately) rather than transcribed. The first step of the reconstruction of the Rev 0 source code was the transcription of the Rev 1 source code from a hardcopy in the MIT Museum collection. The process of reverting the active portion of the source code (i.e., other than program comments) from Rev 1 to Rev 0 was very minor, consisting only of moving the position of the STARTSB1 label in FRESH START AND RESTART. Allan had previously given us the checksums of the memory banks of Rev 0, and we have verified the program presented here has checksums identical to all banks of Allan's listing of Rev 0. The notations on Allan's Rev 0 program listing read, in part:

	GAP:  ASSEMBLE REVISION 099 OF AGC PROGRAM LUMINARY BY NASA 2021112-051

A single program comment is known to differ between Rev 0 and Rev 1, but these are harder to reconstruct and verify than changes to the active portion of the code. Thus it is possible that there are additional differences between the program comments in Rev 0 and Rev 1 that are unknown to us, and therefore are not reflected in the code presented here.

050465,000002:                                                                                                  ## Copyright:   Public domain.
050466,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
050467,000004:                                                                                                  ## Purpose:     Part of the reconstructed source code for LMY99 Rev 0,
050468,000005:                                                                                                  ##              otherwise known as Luminary Rev 99, the second release
050469,000006:                                                                                                  ##              of the Apollo Guidance Computer (AGC) software for Apollo 11.
050470,000007:                                                                                                  ##              It differs from LMY99 Rev 1 (the flown version) only in the
050471,000008:                                                                                                  ##              placement of a single label. The corrections shown here have
050472,000009:                                                                                                  ##              been verified to have the same bank checksums as AGC developer
050473,000010:                                                                                                  ##              Allan Klumpp's copy of Luminary Rev 99, and so are believed
050474,000011:                                                                                                  ##              to be accurate. This file is intended to be a faithful 
050475,000012:                                                                                                  ##              recreation, except that the code format has been changed to 
050476,000013:                                                                                                  ##              conform to the requirements of the yaYUL assembler rather than 
050477,000014:                                                                                                  ##              the original YUL assembler.
050478,000015:                                                                                                  ##
050479,000016:                                                                                                  ## Assembler:   yaYUL
050480,000017:                                                                                                  ## Contact:     Jim Lawton <jim DOT lawton AT gmail.com>
050481,000018:                                                                                                  ## Website:     www.ibiblio.org/apollo.
050482,000019:                                                                                                  ## Pages:       1159-1204
050483,000020:                                                                                                  ## Mod history: 2009-05-28 JL   Started updating from page images.
050484,000021:                                                                                                  ##              2009-06-02 JL   Finished updating from page images.
050485,000022:                                                                                                  ##              2010-12-31 JL   Fixed page number comments.
050486,000023:                                                                                                  ##              2016-12-17 RSB  Proofed text comments with octopus/ProoferComments
050487,000024:                                                                                                  ##                              and corrected the errors found.
050488,000025:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH and WHCIH -> WHICH.
050489,000026:                                                                                                  ##              2017-03-14 RSB  Comment-text fixes noted in proofing Luminary 116.
050490,000027:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
050491,000028:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
050492,000029:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
050493,000030:                                                                                                  ##                              Luminary 99 vs Comanche 55.
050494,000031:                                                                                                  ##              2017-08-01 MAS  Created from LMY99 Rev 1.
050495,000032: 
050496,000033:                                                                                                  ## This source code has been transcribed or otherwise adapted from
050497,000034:                                                                                                  ## digitized images of a hardcopy from the MIT Museum.  The digitization
050498,000035:                                                                                                  ## was performed by Paul Fjeld, and arranged for by Deborah Douglas of
050499,000036:                                                                                                  ## the Museum.  Many thanks to both.  The images (with suitable reduction
050500,000037:                                                                                                  ## in storage size and consequent reduction in image quality as well) are
050501,000038:                                                                                                  ## available online at www.ibiblio.org/apollo.  If for some reason you
050502,000039:                                                                                                  ## find that the images are illegible, contact me at info@sandroid.org
050503,000040:                                                                                                  ## about getting access to the (much) higher-quality images which Paul
050504,000041:                                                                                                  ## actually created.
050505,000042:                                                                                                  ##
050506,000043:                                                                                                  ## The code has been modified to match LMY99 Revision 0, otherwise
050507,000044:                                                                                                  ## known as Luminary Revision 99, the Apollo 11 software release preceeding
050508,000045:                                                                                                  ## the listing from which it was transcribed. It has been verified to
050509,000046:                                                                                                  ## contain the same bank checksums as AGC developer Allan Klumpp's listing
050510,000047:                                                                                                  ## of Luminary Revision 99 (for which we do not have scans).
050511,000048:                                                                                                  ##
050512,000049:                                                                                                  ## Notations on Allan Klumpp's listing read, in part:
050513,000050:                                                                                                  ##
050514,000051:                                                                                                  ##      ASSEMBLE REVISION 099 OF AGC PROGRAM LUMINARY BY NASA 2021112-51
050515,000052: 

Page 1159

050517,000054:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
050518,000055:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
050519,000056:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
050520,000057: 
050521,000058:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050522,000059:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
050523,000060:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
050524,000061:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
050525,000062:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
050526,000063:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
050527,000064:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
050528,000065:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
050529,000066:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
050530,000067:                                                                                                  #  TINES APPROPRIATELY.
050531,000068: 
050532,000069:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
050533,000070:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
050534,000071:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
050535,000072: 
050536,000073:                                                                                                  #  RESTRICTIONS -
050537,000074:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
050538,000075:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
050539,000076:                                                                                                  #  TORIES COULD BE HANDLED.
050540,000077: 
050541,000078:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
050542,000079:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
050543,000080:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
050544,000081: 

Page 1160

050546,000083:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
050547,000084:                                                                                                  #  MOD NO. -1                                                    LOG SECTION - CONIC SUBROUTINES
050548,000085:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
050549,000086:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
050550,000087:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON:  SUPPRESSION OF X-MODULO-ING
050551,000088:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON:  CLEAR OVFIND AT KEPLER ENTRY
050552,000089: 
050553,000090:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050554,000091:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
050555,000092:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
050556,000093:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
050557,000094:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
050558,000095:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
050559,000096:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
050560,000097: 
050561,000098:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
050562,000099:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
050563,000100: 
050564,000101:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
050565,000102:                                                                                                  #   MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
050566,000103: 
050567,000104:                                                                                                  #  THE RESTRICTIONS ARE -
050568,000105:                                                                                                  #        1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
050569,000106:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
050570,000107:                                                                                                  #           ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050571,000108: 
050572,000109:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
050573,000110:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
050574,000111:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
050575,000112: 
050576,000113:                                                                                                  #  REFERENCES -
050577,000114:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
050578,000115:                                                                                                  #        MEMO 67-4.
050579,000116: 
050580,000117:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050581,000118:                                                                                                  #                        * SCALE FACTOR  *
050582,000119:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *               DESCRIPTION AND REMARKS
050583,000120:                                                                                                  #        --------        *-------------- *               -----------------------
050584,000121:                                                                                                  #        RRECT           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
050585,000122:                                                                                                  #                        * +27 FOR MOON  *

Page 1161

050587,000124:                                                                                                  #        VRECT           * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050588,000125:                                                                                                  #                        * +5 FOR MOON   * 
050589,000126:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050590,000127:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
050591,000128:                                                                                                  #        TAU.            * +28           *       DESIRED TRANSFER TIME IN CENTISECONDS (DP)
050592,000129:                                                                                                  #                        *               *               MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
050593,000130:                                                                                                  #        XKEPNEW         * +17 FOR EARTH *       DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
050594,000131:                                                                                                  #                        * +16 FOR MOON  *               AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
050595,000132:                                                                                                  #                        *               *               MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
050596,000133:                                                                                                  #                        *               *               BY KEPLER TO A POOR BUT VALID GUESS.
050597,000134:                                                                                                  #        TC              * +28           *       DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
050598,000135:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
050599,000136:                                                                                                  #                        * +16 FOR MOON  *               ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
050600,000137: 
050601,000138:                                                                                                  #  SUBROUTINES CALLED -
050602,000139:                                                                                                  #        DELTIME
050603,000140: 
050604,000141:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
050605,000142:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050606,000143:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
050607,000144:                                                                                                  #        KEPRTN          ...                     CONTINUE
050608,000145: 
050609,000146:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
050610,000147:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
050611,000148:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
050612,000149: 
050613,000150:                                                                                                  #  ABORT EXIT MODES -
050614,000151:                                                                                                  #        NONE
050615,000152: 
050616,000153:                                                                                                  #  OUTPUT -
050617,000154:                                                                                                  #                        * SCALE FACTOR  *
050618,000155:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050619,000156:                                                                                                  #        --------        *-------------- *       -----------------------
050620,000157:                                                                                                  #        RCV             * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS
050621,000158:                                                                                                  #                        * +27 FOR MOON  *
050622,000159:                                                                                                  #        VCV             * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
050623,000160:                                                                                                  #                        * +5 FOR MOON   *
050624,000161:                                                                                                  #        TC              * +28           *       DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
050625,000162:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
050626,000163:                                                                                                  #                        * +16 FOR MOON  *               CORRESPONDING TO ONE PERIOD.

Page 1162

050628,000165:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050629,000166: 
050630,000167:                                                                                                  #  DEBRIS -
050631,000168:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
050632,000169:                                                                                                  #                        * SCALE FACTOR  *
050633,000170:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050634,000171:                                                                                                  #        --------        *-------------- *       -----------------------
050635,000172:                                                                                                  #        URRECT          * +1            *       DP UNIT VECTOR OF INITIAL POSITION
050636,000173:                                                                                                  #        R1              * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION IN METERS
050637,000174:                                                                                                  #                        * +27 FOR MOON  *
050638,000175:                                                                                                  #        ALPHA           * -22 FOR EARTH *       DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
050639,000176:                                                                                                  #                        * -20 FOR MOON  *
050640,000177:                                                                                                  #        TMODULO         * +28           *       DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
050641,000178:                                                                                                  #                        *               *       TAU. OF LESS THAN ONE PERIOD.
050642,000179: 
050643,000180:                                                                                                  #  PARAMETERS OF NO USE -
050644,000181:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
050645,000182: 

Page 1163

050647,000184: 
050648,000185:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
050649,000186:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
050650,000187:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
050651,000188: 
050652,000189:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050653,000190:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
050654,000191:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
050655,000192:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
050656,000193:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
050657,000194:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
050658,000195:                                                                                                  #  UTILIZED IN THE COMPUTATION.
050659,000196: 
050660,000197:                                                                                                  #  THE RESTRICTIONS ARE -
050661,000198:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
050662,000199:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
050663,000200:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
050664,000201:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
050665,000202:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
050666,000203:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
050667,000204:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050668,000205: 
050669,000206:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
050670,000207:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                 THE AGC COMPUTATION TIME IS APPROXIMATE-
050671,000208:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
050672,000209: 
050673,000210:                                                                                                  #  REFERENCES -
050674,000211:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
050675,000212:                                                                                                  #        SGA MEMO 67-4.
050676,000213: 
050677,000214:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050678,000215:                                                                                                  #  
050679,000216:                                                                                                  #                        * SCALE FACTOR  *
050680,000217:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050681,000218:                                                                                                  #        --------        *-------------- *       -----------------------
050682,000219:                                                                                                  #        R1VEC           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
050683,000220:                                                                                                  #                        * +27 FOR MOON  *
050684,000221:                                                                                                  #        R2VEC           * +29 FOR EARTH *       DP TARGET OR TERMINAL POSITION VECTOR IN METERS
050685,000222:                                                                                                  #                        * +27 FOR MOON  *
050686,000223:                                                                                                  #        TDESIRED        * +28           *       DP DESIRED TRANSFER TIME IN CENTISECONDS
050687,000224:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050688,000225:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
050689,000226:                                                                                                  #        GEOMSGN         * NONE          *       SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
050690,000227:                                                                                                  #        GUESSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1164

050692,000229:                                                                                                  #                        *               *               COGA IS TO BE USED BY LAMBERT
050693,000230:                                                                                                  #        COGA            * +5            *       DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
050694,000231:                                                                                                  #                                        *       IGNORED IF GUESSW IS SET.
050695,000232:                                                                                                  #        NORMSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
050696,000233:                                                                                                  #                        *               *               LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
050697,000234:                                                                                                  #        UN              * +1            *       DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
050698,000235:                                                                                                  #                        *               *               MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
050699,000236:                                                                                                  #        VTARGTAG        * NONE          *       A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
050700,000237:                                                                                                  #                        *               *               AT R1VEC.
050701,000238:                                                                                                  #        ITERCTR         * NONE          *       A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
050702,000239:                                                                                                  #                        *               *               (AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
050703,000240:                                                                                                  #                        *               *               ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
050704,000241:                                                                                                  #                        *               *               TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
050705,000242: 
050706,000243:                                                                                                  #  SUBROUTINES CALLED -
050707,000244:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
050708,000245: 
050709,000246:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
050710,000247:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050711,000248:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
050712,000249:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
050713,000250:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
050714,000251:                                                                                                  #        L+3             SOLNSW
050715,000252:                                                                                                  #        L+4             LAMABORT
050716,000253: 
050717,000254:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
050718,000255:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
050719,000256: 
050720,000257:                                                                                                  #  ABORT EXIT MODES -
050721,000258:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
050722,000259:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
050723,000260:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
050724,000261:                                                                                                  #  LAMABORT      DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
050725,000262:                                                                                                  #                        1-CSTH          360 DEGREES.
050726,000263:                                                                                                  #                DSU     BMN
050727,000264:                                                                                                  #                        ONEBIT
050728,000265:                                                                                                  #                        CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
050729,000266:                                                                                                  #                DLOAD   DAD
050730,000267:                                                                                                  #                        TDESIRED
050731,000268:                                                                                                  #                        SOMETIME
050732,000269:                                                                                                  #                STCALL  TDESIRED        INCREASE TDESIRED
050733,000270:                                                                                                  #                        LAMBERT
050734,000271: 

Page 1165

050736,000273:                                                                                                  #  OUTPUT -
050737,000274:                                                                                                  #                        * SCALE FACTOR  *
050738,000275:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050739,000276:                                                                                                  #        --------        *-------------- *       -----------------------
050740,000277:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
050741,000278:                                                                                                  #                        * +5 FOR MOON   *               PROBLEM.
050742,000279:                                                                                                  #        VTARGET         * +7 FOR EARTH  *       DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
050743,000280:                                                                                                  #                        * +5 FOR MOON   *
050744,000281:                                                                                                  #        SOLNSW          * NONE          *       INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
050745,000282:                                                                                                  #                        *               *               SOLUTION EXISTS.
050746,000283: 
050747,000284:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050748,000285: 
050749,000286:                                                                                                  #  DEBRIS -
050750,000287:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
050751,000288: 
050752,000289:                                                                                                  #                        * SCALE FACTOR  *
050753,000290:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050754,000291:                                                                                                  #        --------        *-------------- *       -----------------------
050755,000292:                                                                                                  #        SNTH            * +1            *       DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
050756,000293:                                                                                                  #        CSTH            * +1            *       DP COSINE OF ANGLE
050757,000294:                                                                                                  #        1-CSTH          * +2            *       DP 1-CSTH
050758,000295:                                                                                                  #        COGA            * +5            *       DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
050759,000296:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
050760,000297:                                                                                                  #        R1A             * +6            *       DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
050761,000298:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP INITIAL RADIUS IN METERS
050762,000299:                                                                                                  #                        * +27 FOR MOON  *
050763,000300:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF R1VEC
050764,000301:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF R2VEC
050765,000302: 
050766,000303:                                                                                                  #        PARAMETERS OF NO USE
050767,000304:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
050768,000305:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
050769,000306: 

Page 1166

050771,000308:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
050772,000309:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
050773,000310:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
050774,000311: 
050775,000312:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050776,000313:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
050777,000314:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
050778,000315:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
050779,000316:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
050780,000317:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
050781,000318:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
050782,000319: 
050783,000320:                                                                                                  #  THE RESTRICTIONS ARE -
050784,000321:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
050785,000322:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
050786,000323:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
050787,000324:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050788,000325: 
050789,000326:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
050790,000327: 
050791,000328:                                                                                                  #  REFERENCES -
050792,000329:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
050793,000330: 
050794,000331:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050795,000332:                                                                                                  #                        * SCALE FACTOR  *
050796,000333:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050797,000334:                                                                                                  #        --------        *-------------- *       -----------------------
050798,000335:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
050799,000336:                                                                                                  #                        * +27 FOR MOON  *
050800,000337:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050801,000338:                                                                                                  #                        * +5 FOR MOON   *
050802,000339:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
050803,000340:                                                                                                  #        CSTH            * +1            *       DP COSINE OF THE ANGLE
050804,000341:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
050805,000342:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
050806,000343:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050807,000344:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
050808,000345: 
050809,000346:                                                                                                  #  SUBROUTINES CALLED -

Page 1167

050811,000348:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
050812,000349: 
050813,000350:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
050814,000351:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
050815,000352:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050816,000353:                                                                                                  #        L+1             RVSW
050817,000354:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
050818,000355:                                                                                                  #        L+3     ...                     CONTINUE
050819,000356: 
050820,000357:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
050821,000358:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050822,000359:                                                                                                  #        L+1             RVSW
050823,000360:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
050824,000361:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
050825,000362:                                                                                                  #        L+3     STOVL   NEWVVEC
050826,000363:                                                                                                  #        L+4     STADR
050827,000364:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
050828,000365:                                                                                                  #        L+6     ...                     CONTINUE
050829,000366: 
050830,000367:                                                                                                  #  ABORT EXIT MODES -
050831,000368:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
050832,000369:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
050833,000370: 
050834,000371:                                                                                                  #  OUTPUT -
050835,000372:                                                                                                  #                        * SCALE FACTOR  *
050836,000373:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050837,000374:                                                                                                  #        --------        *-------------- *       -----------------------
050838,000375:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
050839,000376:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
050840,000377:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
050841,000378:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
050842,000379:                                                                                                  #                        *               *               CLEAR IF NOT.
050843,000380: 
050844,000381:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
050845,000382:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
050846,000383:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
050847,000384:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
050848,000385:                                                                                                  #                        * +27 FOR MOON  *
050849,000386: 
050850,000387:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050851,000388: 

Page 1168

050853,000390:                                                                                                  #  DEBRIS -
050854,000391:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
050855,000392:                                                                                                  #  
050856,000393:                                                                                                  #                        * SCALE FACTOR  *
050857,000394:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050858,000395:                                                                                                  #        --------        *-------------- *       -----------------------
050859,000396:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050860,000397:                                                                                                  #                        * +27 FOR MOON  *
050861,000398:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050862,000399:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
050863,000400:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050864,000401:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
050865,000402:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
050866,000403:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
050867,000404: 
050868,000405:                                                                                                  #        PARAMETERS OF NO USE -
050869,000406:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
050870,000407:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
050871,000408: 

Page 1169

050873,000410:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
050874,000411:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
050875,000412:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
050876,000413: 
050877,000414:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050878,000415: 
050879,000416:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
050880,000417:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
050881,000418:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
050882,000419:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
050883,000420:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
050884,000421:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
050885,000422: 
050886,000423:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
050887,000424:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
050888,000425: 
050889,000426:                                                                                                  #  THE RESTRICTIONS ARE -
050890,000427:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
050891,000428:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
050892,000429:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
050893,000430:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050894,000431:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
050895,000432:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
050896,000433:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
050897,000434: 
050898,000435:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
050899,000436: 
050900,000437:                                                                                                  #  REFERENCES -
050901,000438:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
050902,000439: 
050903,000440:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050904,000441:                                                                                                  #                        * SCALE FACTOR  *
050905,000442:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050906,000443:                                                                                                  #        --------        *-------------- *       -----------------------
050907,000444:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
050908,000445:                                                                                                  #                        * +27 FOR MOON  *
050909,000446:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050910,000447:                                                                                                  #                        * +5 FOR MOON   *
050911,000448:                                                                                                  #        RDESIRED        * +29 FOR EARTH *       DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
050912,000449:                                                                                                  #                        * +27 FOR MOON  *               COMPUTED.
050913,000450:                                                                                                  #        SGNRDOT         * NONE          *       SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
050914,000451:                                                                                                  #                        *               *               POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1170

050916,000453:                                                                                                  #                        *               *               SINGLE-VALUED PROBLEM.
050917,000454:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050918,000455:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
050919,000456:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
050920,000457:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
050921,000458: 
050922,000459:                                                                                                  #  SUBROUTINES CALLED -
050923,000460:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
050924,000461: 
050925,000462:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
050926,000463: 
050927,000464:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
050928,000465:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050929,000466:                                                                                                  #        L+1             RVSW
050930,000467:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
050931,000468:                                                                                                  #        L+3     ...                     CONTINUE
050932,000469: 
050933,000470:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
050934,000471:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050935,000472:                                                                                                  #        L+1             RVSW
050936,000473:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
050937,000474:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
050938,000475:                                                                                                  #        L+3     STOVL   NEWVVEC
050939,000476:                                                                                                  #        L+4     STADR
050940,000477:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
050941,000478:                                                                                                  #        L+6     ...                     CONTINUE
050942,000479: 
050943,000480:                                                                                                  #  ABORT EXIT MODES -
050944,000481:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
050945,000482:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
050946,000483: 
050947,000484:                                                                                                  #  OUTPUT -
050948,000485:                                                                                                  #                        * SCALE FACTOR  *
050949,000486:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050950,000487:                                                                                                  #        --------        *-------------- *       -----------------------
050951,000488:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
050952,000489:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
050953,000490:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
050954,000491:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
050955,000492:                                                                                                  #                        *               *               CLEAR IF NOT.
050956,000493:                                                                                                  #        APSESW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1171

050958,000495:                                                                                                  #                        *               *               LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
050959,000496:                                                                                                  #                        *               *               WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
050960,000497:                                                                                                  #                        *               *               APOCENTER.
050961,000498:                                                                                                  #        SOLNSW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
050962,000499:                                                                                                  #                                        *               POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
050963,000500:                                                                                                  #                                        *               MINUS-18, THE SWITCH IS CLEAR.
050964,000501: 
050965,000502:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
050966,000503: 
050967,000504:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
050968,000505:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
050969,000506:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
050970,000507:                                                                                                  #                        * +27 FOR MOON  *
050971,000508: 
050972,000509:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050973,000510: 
050974,000511:                                                                                                  #  DEBRIS -
050975,000512:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
050976,000513: 
050977,000514:                                                                                                  #                        * SCALE FACTOR  *
050978,000515:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050979,000516:                                                                                                  #        --------        *-------------- *       -----------------------
050980,000517:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050981,000518:                                                                                                  #                        * +27 FOR MOON  *
050982,000519:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050983,000520:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
050984,000521:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050985,000522:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
050986,000523:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
050987,000524:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
050988,000525:                                                                                                  #        CSTH            * +1            *       DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
050989,000526:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE ANOMALY DIFFERENCE.
050990,000527: 
050991,000528:                                                                                                  #        PARAMETERS OF NO USE -
050992,000529:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
050993,000530:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
050994,000531: 
050995,000532: 

Page 1172

050997,000534:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
050998,000535:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
050999,000536:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
051000,000537: 
051001,000538:                                                                                                  #  FUNCTIONAL DESCRIPTION -
051002,000539: 
051003,000540:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
051004,000541:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
051005,000542:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
051006,000543:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
051007,000544:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
051008,000545: 
051009,000546:                                                                                                  #  THE RESTRICTIONS ARE -
051010,000547:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
051011,000548:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
051012,000549:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
051013,000550:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
051014,000551: 
051015,000552:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
051016,000553: 
051017,000554:                                                                                                  #  REFERENCES -
051018,000555:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
051019,000556: 
051020,000557:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
051021,000558:                                                                                                  #                        * SCALE FACTOR  *
051022,000559:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
051023,000560:                                                                                                  #        --------        *-------------- *       -----------------------
051024,000561:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
051025,000562:                                                                                                  #                        * +27 FOR MOON  *
051026,000563:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
051027,000564:                                                                                                  #                        * +5 FOR MOON   *
051028,000565:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
051029,000566:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
051030,000567: 
051031,000568:                                                                                                  #  SUBROUTINES CALLED -
051032,000569:                                                                                                  #        PARAM, GEOM
051033,000570: 
051034,000571:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1173

051036,000573:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
051037,000574:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
051038,000575:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
051039,000576:                                                                                                  #        L+2     STODL   APOAPSE
051040,000577:                                                                                                  #        L+3             0D
051041,000578:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
051042,000579:                                                                                                  #        L+5     ...                     CONTINUE
051043,000580: 
051044,000581:                                                                                                  #  OUTPUT -
051045,000582:                                                                                                  #                        * SCALE FACTOR  *
051046,000583:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
051047,000584:                                                                                                  #        --------        *-------------- *       -----------------------
051048,000585:                                                                                                  #        MPAC            * +29 FOR EARTH *       DP RADIUS OF APOCENTER IN METERS
051049,000586:                                                                                                  #                        * +27 FOR MOON  *
051050,000587:                                                                                                  #        0D-1D           * +29 FOR EARTH *       DP RADIUS OF PERICENTER IN METERS
051051,000588:                                                                                                  #                        * +27 FOR MOON  *
051052,000589:                                                                                                  #        ECC             * +3            *       DP ECCENTRICITY OF CONIC TRAJECTORY.
051053,000590: 
051054,000591:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
051055,000592: 
051056,000593:                                                                                                  #  DEBRIS -
051057,000594: 
051058,000595:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
051059,000596: 
051060,000597:                                                                                                  #                        * SCALE FACTOR  *
051061,000598:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
051062,000599:                                                                                                  #        --------        *-------------- *       -----------------------
051063,000600:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
051064,000601:                                                                                                  #                        * +27 FOR MOON  *
051065,000602:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
051066,000603:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
051067,000604:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
051068,000605:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
051069,000606:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
051070,000607:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
051071,000608:                                                                                                  #        MAGVEC2         * +7 FOR EARTH  *       DP MAGNITUDE OF VVEC
051072,000609:                                                                                                  #                        * +5 FOR MOON   *
051073,000610: 
051074,000611:                                                                                                  #        PARAMETERS OF NO USE -
051075,000612:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
051076,000613:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
051077,000614: 
051078,000615: 12,2000                                           SETLOC   CONICS                                

Page 1174

051080,000617: 12,2000                                           BANK                                           
051081,000618: 
051082,000619: 12,2023                                           COUNT*   $$/CONIC                              
051083,000620: 12,2023  E5,1721                                  EBANK=   UR1                                   
051084,000621: 12,2023           40001        KEPLERN            SETPD    BOV                                   
051085,000622: 12,2024           00001                                    0                                     
051086,000623: 12,2025           24026                                    +1                                    
051087,000624: 12,2026           77773                           VLOAD*                                         
051088,000625: 12,2027           10005                                    MUTABLE,1                             
051089,000626: 12,2030           24017                           STOVL    14D                                   
051090,000627: 12,2031           01503                                    RRECT                                 
051091,000628: 12,2032           66256                           UNIT     SSP                                   
051092,000629: 12,2033           00027                                    ITERCTR                               
051093,000630: 12,2034           00024                                    20D                                   
051094,000631: 12,2035           16647                           STODL    URRECT                                
051095,000632: 12,2036           00045                                    36D                                   
051096,000633: 12,2037           24041                           STOVL    R1                                    
051097,000634: 12,2040           01503                                    RRECT                                 
051098,000635: 12,2041           76441                           DOT      SL1R                                  
051099,000636: 12,2042           01511                                    VRECT                                 
051100,000637: 12,2043           76405                           DMP      SL1R                                  
051101,000638: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
051102,000639: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
051103,000640: 12,2046           01511                                    VRECT                                 
051104,000641: 12,2047           57236                           VSQ      DMPR                                  
051105,000642: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
051106,000643: 12,2051           52405                           DMP      SL3                                   
051107,000644: 12,2052           00041                                    R1                                    
051108,000645: 12,2053           61425                           DSU      ROUND                                 
051109,000646: 12,2054           11035                                    D1/64                                 
051110,000647: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
051111,000648: 
051112,000649: 12,2056           74421                           BDSU     SR1R                                  
051113,000650: 12,2057           11035                                    D1/64                                 
051114,000651: 12,2060           77671                           DDV                                            
051115,000652: 12,2061           00041                                    R1                                    
051116,000653: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
051117,000654: 
051118,000655: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
051119,000656: 12,2064           24073                                    1REV                                  
051120,000657: 12,2065           11053                                    -50SC                                 #  -50SC (+12)
051121,000658: 12,2066           40071                           DDV      BOV                                   
051122,000659: 12,2067           00011                                    ALPHA                                 
051123,000660: 12,2070           24077                                    STOREMAX                              
051124,000661: 12,2071           52166                           SQRT     GOTO                                  
051125,000662: 12,2072           24077                                    STOREMAX                              
051126,000663: 
051127,000664: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1175

051129,000666: 12,2074           11055                                    2PISC                                 #  2PISC (+6)
051130,000667: 12,2075           77600                           BOV                                            
051131,000668: 12,2076           24077                                    STOREMAX                              
051132,000669: 12,2077           00013        STOREMAX           STORE    XMAX                                  
051133,000670: 12,2100           65205                           DMP      PDDL                                  
051134,000671: 12,2101           00023                                    1/ROOTMU                              
051135,000672: 12,2102           00011                                    ALPHA                                 
051136,000673: 12,2103           65301                           NORM     PDDL                                  
051137,000674: 12,2104           00047                                    X1                                    
051138,000675: 12,2105           56257                           SL*      DDV                                   
051139,000676: 12,2106           20173                                    0          -6,1                       
051140,000677: 12,2107           50000                           BOV      BMN                                   
051141,000678: 12,2110           24124                                    MODDONE                               
051142,000679: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
051143,000680: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
051144,000681: 12,2113           02074                                    TAU.                                  
051145,000682: 12,2114           50025                           DSU      BMN                                   
051146,000683: 12,2115           00001                                    0D                                    
051147,000684: 12,2116           24124                                    MODDONE                               
051148,000685: 12,2117           77765                           SIGN                                           
051149,000686: 12,2120           02074                                    TAU.                                  
051150,000687: 12,2121           16074                           STODL    TAU.                                  
051151,000688: 12,2122           77650                           GOTO                                           
051152,000689: 12,2123           24112                                    PERIODCH                              
051153,000690: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
051154,000691: 12,2125           00001                                    0                                     
051155,000692: 12,2126           02130                                    XKEPNEW                               
051156,000693: 12,2127           00025                           STORE    X                                     
051157,000694: 12,2130           53165                           SIGN     BZE                                   
051158,000695: 12,2131           02074                                    TAU.                                  
051159,000696: 12,2132           24302                                    BADX                                  
051160,000697: 12,2133           51440                           BMN      ABS                                   
051161,000698: 12,2134           24302                                    BADX                                  
051162,000699: 12,2135           51025                           DSU      BPL                                   
051163,000700: 12,2136           00013                                    XMAX                                  
051164,000701: 12,2137           24302                                    BADX                                  
051165,000702: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
051166,000703: 12,2141           02074                                    TAU.                                  
051167,000704: 12,2142           24152                                    STOREMIN                              
051168,000705: 12,2143           57545                           DLOAD    DCOMP                                 
051169,000706: 12,2144           00013                                    XMAX                                  
051170,000707: 12,2145           14015                           STODL    XMIN                                  
051171,000708: 12,2146           24007                                    KEPZERO                               
051172,000709: 12,2147           00013                           STORE    XMAX                                  
051173,000710: 12,2150           77650                           GOTO                                           
051174,000711: 12,2151           24155                                    DXCOMP                                
051175,000712: 12,2152           77745        STOREMIN           DLOAD                                          
051176,000713: 12,2153           24007                                    KEPZERO                               
051177,000714: 12,2154           00015                           STORE    XMIN                                  
051178,000715: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1176

051180,000717: 12,2156           02074                                    TAU.                                  
051181,000718: 12,2157           11046                                    BEE22                                 
051182,000719: 12,2160           77646                           ABS                                            
051183,000720: 12,2161           16177                           STODL    EPSILONT                              
051184,000721: 12,2162           01553                                    XPREV                                 
051185,000722: 12,2163           77621        XDIFF              BDSU                                           
051186,000723: 12,2164           00025                                    X                                     
051187,000724: 12,2165           02643                           STORE    DELX                                  
051188,000725: 
051189,000726: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
051190,000727: 12,2167           00025                                    X                                     #  X=XKEP
051191,000728: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
051192,000729: 12,2171           00047                                    X1                                    
051193,000730: 12,2172           53605                           DMP      SRR*                                  
051194,000731: 12,2173           00011                                    ALPHA                                 
051195,000732: 12,2174           21573                                    0          -6,1                       
051196,000733: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
051197,000734: 12,2176           24421                                    DELTIME                               
051198,000735: 12,2177           44200                           BOV      BDSU                                  
051199,000736: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
051200,000737: 12,2201           02074                                    TAU.                                  
051201,000738: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
051202,000739: 12,2203           44246                           ABS      BDSU                                  
051203,000740: 12,2204           02177                                    EPSILONT                              
051204,000741: 12,2205           71244                           BPL      DLOAD                                 
051205,000742: 12,2206           24333                                    KEPCONVG                              
051206,000743: 12,2207           00037                                    T                                     
051207,000744: 12,2210           60225                           DSU      NORM                                  
051208,000745: 12,2211           01551                                    TC                                    
051209,000746: 12,2212           00047                                    X1                                    
051210,000747: 12,2213           60325                           PDDL     NORM                                  
051211,000748: 12,2214           02643                                    DELX                                  
051212,000749: 12,2215           00050                                    X2                                    
051213,000750: 12,2216           41260                           XSU,1    DMP                                   
051214,000751: 12,2217           00047                                    X2                                    
051215,000752: 12,2220           02645                                    DELT                                  
051216,000753: 12,2221           56257                           SLR*     DDV                                   
051217,000754: 12,2222           21202                                    1,1                                   
051218,000755: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
051219,000756: 12,2224           71244                           BPL      DLOAD                                 
051220,000757: 12,2225           24246                                    POSDELX                               
051221,000758: 12,2226           00025                                    X                                     
051222,000759: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
051223,000760: 12,2230           45221                           BDSU     DSU                                   #                        PL AT 0
051224,000761: 12,2231           00015                                    XMIN                                  
051225,000762: 12,2232           51000                           BOV      BPL                                   
051226,000763: 12,2233           24240                                    NDXCHNGE                              
051227,000764: 12,2234           24240                                    NDXCHNGE                              
051228,000765: 12,2235           52145                           DLOAD    GOTO                                  

Page 1177

051230,000767: 12,2236           00001                                    0D                                    
051231,000768: 12,2237           24260                                    NEWDELX                               
051232,000769: 
051233,000770: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
051234,000771: 12,2241           00015                                    XMIN                                  
051235,000772: 12,2242           00025                                    X                                     
051236,000773: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
051237,000774: 12,2244           11051                                    DP9/10                                
051238,000775: 12,2245           24260                                    NEWDELX                               
051239,000776: 
051240,000777: 12,2246           77745        POSDELX            DLOAD                                          
051241,000778: 12,2247           00025                                    X                                     
051242,000779: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
051243,000780: 12,2251           45221                           BDSU     DSU                                   #                        PL AT 0
051244,000781: 12,2252           00013                                    XMAX                                  
051245,000782: 12,2253           50000                           BOV      BMN                                   
051246,000783: 12,2254           24274                                    PDXCHNGE                              
051247,000784: 12,2255           24274                                    PDXCHNGE                              
051248,000785: 12,2256           77745                           DLOAD                                          
051249,000786: 12,2257           00001                                    0D                                    
051250,000787: 12,2260           02643        NEWDELX            STORE    DELX                                  
051251,000788: 12,2261           43254                           BZE      DAD                                   
051252,000789: 12,2262           24333                                    KEPCONVG                              
051253,000790: 12,2263           00025                                    X                                     
051254,000791: 12,2264           14025                           STODL    X                                     
051255,000792: 12,2265           00037                                    T                                     
051256,000793: 12,2266           01551                           STORE    TC                                    
051257,000794: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
051258,000795: 12,2270           24644                                    CHECKCTR                              
051259,000796: 12,2271           24333                                    KEPCONVG                              
051260,000797: 12,2272           77650                           GOTO                                           
051261,000798: 12,2273           24166                                    KEPLOOP                               #  ITERATE
051262,000799: 
051263,000800: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
051264,000801: 12,2275           00013                                    XMAX                                  
051265,000802: 12,2276           00025                                    X                                     
051266,000803: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
051267,000804: 12,2300           11051                                    DP9/10                                
051268,000805: 12,2301           24260                                    NEWDELX                               
051269,000806: 
051270,000807: 12,2302           70545        BADX               DLOAD    SR1                                   
051271,000808: 12,2303           00013                                    XMAX                                  
051272,000809: 12,2304           77765                           SIGN                                           
051273,000810: 12,2305           02074                                    TAU.                                  
051274,000811: 12,2306           00025                           STORE    X                                     
051275,000812: 12,2307           77650                           GOTO                                           

Page 1178

051277,000814: 12,2310           24140                                    STORBNDS                              
051278,000815: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
051279,000816: 12,2312           00025                                    X                                     
051280,000817: 12,2313           24330                                    NEGTOVFL                              
051281,000818: 12,2314           00013                           STORE    XMAX                                  
051282,000819: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
051283,000820: 12,2316           02643                                    DELX                                  
051284,000821: 12,2317           02643                           STORE    DELX                                  
051285,000822: 12,2320           44254                           BZE      BDSU                                  
051286,000823: 12,2321           02112                                    KEPRTN                                
051287,000824: 12,2322           00025                                    X                                     
051288,000825: 12,2323           14025                           STODL    X                                     
051289,000826: 12,2324           01551                                    TC                                    
051290,000827: 12,2325           00037                           STORE    T                                     
051291,000828: 12,2326           77650                           GOTO                                           
051292,000829: 12,2327           24267                                    BRNCHCTR                              
051293,000830: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
051294,000831: 12,2331           77650                           GOTO                                           
051295,000832: 12,2332           24315                                    CMNTOVFL                              
051296,000833: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
051297,000834: 12,2334           00041                                    R1                                    
051298,000835: 12,2335           74225                           DSU      VXSC                                  
051299,000836: 12,2336           00035                                    XSQC(XI)                              
051300,000837: 12,2337           02647                                    URRECT                                
051301,000838: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
051302,000839: 12,2341           00025                                    X                                     
051303,000840: 12,2342           60316                           DSQ      NORM                                  
051304,000841: 12,2343           00047                                    X1                                    
051305,000842: 12,2344           57275                           DMPR     DMPR                                  
051306,000843: 12,2345           00023                                    1/ROOTMU                              
051307,000844: 12,2346           00025                                    X                                     
051308,000845: 12,2347           53605                           DMP      SRR*                                  
051309,000846: 12,2350           00033                                    S(XI)                                 
051310,000847: 12,2351           21572                                    0          -7,1                       
051311,000848: 12,2352           77621                           BDSU                                           
051312,000849: 12,2353           00037                                    T                                     
051313,000850: 12,2354           74352                           SL1      VXSC                                  
051314,000851: 12,2355           01511                                    VRECT                                 
051315,000852: 12,2356           53372                           VSL1     VAD                                   #                                PL AT 0
051316,000853: 12,2357           77712                           VSL4                                           
051317,000854: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
051318,000855: 
051319,000856: 12,2361           60246                           ABVAL    NORM                                  
051320,000857: 12,2362           00050                                    X2                                    
051321,000858: 12,2363           14043                           STODL    RCNORM                                
051322,000859: 12,2364           00031                                    XI                                    
051323,000860: 12,2365           45275                           DMPR     DSU                                   
051324,000861: 12,2366           00033                                    S(XI)                                 
051325,000862: 12,2367           11033                                    D1/128                                

Page 1179

051327,000864: 12,2370           76405                           DMP      SL1R                                  
051328,000865: 12,2371           00021                                    ROOTMU                                
051329,000866: 12,2372           53605                           DMP      SLR*                                  
051330,000867: 12,2373           00025                                    X                                     
051331,000868: 12,2374           56601                                    0          -3,2                       
051332,000869: 12,2375           74271                           DDV      VXSC                                  
051333,000870: 12,2376           00043                                    RCNORM                                
051334,000871: 12,2377           02647                                    URRECT                                
051335,000872: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
051336,000873: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
051337,000874: 12,2402           56257                           SLR*     DDV                                   
051338,000875: 12,2403           56602                                    0          -4,2                       
051339,000876: 12,2404           00043                                    RCNORM                                
051340,000877: 12,2405           74221                           BDSU     VXSC                                  
051341,000878: 12,2406           11047                                    D1/256                                
051342,000879: 12,2407           01511                                    VRECT                                 
051343,000880: 12,2410           42455                           VAD      VSL8                                  
051344,000881: 12,2411           77626                           STADR                                          #                                PL AT 0
051345,000882: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
051346,000883: 12,2413           00037                                    T                                     
051347,000884: 12,2414           15551                           STODL    TC                                    
051348,000885: 12,2415           00025                                    X                                     
051349,000886: 12,2416           01553                           STORE    XPREV                                 
051350,000887: 12,2417           77650                           GOTO                                           
051351,000888: 12,2420           02112                                    KEPRTN                                
051352,000889: 

Page 1180

051354,000891: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
051355,000892: 12,2422           07222                           TC       POLY                                  
051356,000893: 12,2423           00010                           DEC      8          B-14                       
051357,000894: 12,2424           02525 12526                     2DEC     .083333334                            
051358,000895: 12,2426           67356 75666                     2DEC     -.266666684                            
051359,000896: 12,2430           15001 23771                     2DEC     .406349155                            
051360,000897: 12,2432           64342 43674                     2DEC     -.361198675                            
051361,000898: 12,2434           06563 04645                     2DEC     .210153242                            
051362,000899: 12,2436           75173 52672                     2DEC     -.086221951                            
051363,000900: 12,2440           00656 14331                     2DEC     .026268812                            
051364,000901: 12,2442           77633 40512                     2DEC     -.006163316                            
051365,000902: 12,2444           00023 11210                     2DEC     .001177342                            
051366,000903: 12,2446           77774 67506                     2DEC     -.000199055                            
051367,000904: 
051368,000905: 12,2450           06037                           TC       INTPRET                               
051369,000906: 12,2451           14033                           STODL    S(XI)                                 
051370,000907: 12,2452           00031                                    XI                                    
051371,000908: 12,2453           77776                           EXIT                                           
051372,000909: 12,2454           07222                           TC       POLY                                  
051373,000910: 12,2455           00010                           DEC      8          B-14                       
051374,000911: 12,2456           01000 00000                     2DEC     .031250001                            
051375,000912: 12,2460           72525 52506                     2DEC     -.166666719                            
051376,000913: 12,2462           13301 15337                     2DEC     .355555413                            
051377,000914: 12,2464           62776 54733                     2DEC     -.406347410                            
051378,000915: 12,2466           11176 13267                     2DEC     .288962094                            
051379,000916: 12,2470           73410 51674                     2DEC     -.140117894                            
051380,000917: 12,2472           01446 33641                     2DEC     .049247387                            
051381,000918: 12,2474           77451 65233                     2DEC     -.013081923                            
051382,000919: 12,2476           00055 37266                     2DEC     .002806389                            
051383,000920: 12,2500           77767 52336                     2DEC     -.000529414                            
051384,000921: 12,2502           06037                           TC       INTPRET                               

Page 1181

051386,000923: 12,2503           53605                           DMP      SRR*                                  #                                PL AT 0
051387,000924: 12,2504           00001                                    0D                                    
051388,000925: 12,2505           21574                                    0          -5,1                       
051389,000926: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
051390,000927: 12,2507           72405                           DMP      SL1                                   
051391,000928: 12,2510           00043                                    KEPC1                                 
051392,000929: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
051393,000930: 12,2512           21633                                    TPMODE                                #                                PL AT 0,3
051394,000931: 12,2513           53605                           DMP      SRR*                                  
051395,000932: 12,2514           00033                                    S(XI)                                 
051396,000933: 12,2515           21574                                    0          -5,1                       
051397,000934: 12,2516           72405                           DMP      SL1                                   
051398,000935: 12,2517           00045                                    KEPC2                                 
051399,000936: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
051400,000937: 12,2521           21633                                    TPMODE                                
051401,000938: 12,2522           00041                                    R1                                    
051402,000939: 12,2523           76261                           SR       TAD                                   #                                PL AT 3
051403,000940: 12,2524           20607                                    6                                     
051404,000941: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
051405,000942: 12,2526           00047                                    X1                                    
051406,000943: 12,2527           00025                                    X                                     
051407,000944: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
051408,000945: 12,2531           20576                                    0          -3,1                       
051409,000946: 12,2532           57232                           SL4R     DMPR                                  
051410,000947: 12,2533           00023                                    1/ROOTMU                              
051411,000948: 12,2534           00037                           STORE    T                                     
051412,000949: 12,2535           77616                           RVQ                                            
051413,000950: 

Page 1182

051415,000952: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
051416,000953: 12,2537           00614                                    SLOPESW                               
051417,000954: 12,2540           24606                                    FIRSTIME                              
051418,000955: 12,2541           00037                                    DEP                                   
051419,000956: 12,2542           60225                           DSU      NORM                                  
051420,000957: 12,2543           02762                                    DEPREV                                
051421,000958: 12,2544           00047                                    X1                                    
051422,000959: 12,2545           60325                           PDDL     NORM                                  
051423,000960: 12,2546           00015                                    DELINDEP                              
051424,000961: 12,2547           00050                                    X2                                    
051425,000962: 12,2550           41260                           XSU,1    DMP                                   
051426,000963: 12,2551           00047                                    X2                                    
051427,000964: 12,2552           02760                                    DELDEP                                
051428,000965: 12,2553           56257                           SLR*     DDV                                   #                                PL UP 2
051429,000966: 12,2554           21202                                    1,1                                   
051430,000967: 12,2555           43142                           SR1      BOFF                                  
051431,000968: 12,2556           04351                                    ORDERSW                               
051432,000969: 12,2557           24562                                    SGNCHECK                              
051433,000970: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
051434,000971: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
051435,000972: 
051436,000973: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
051437,000974: 12,2563           24620                                    POSDEL                                
051438,000975: 12,2564           43145                           DLOAD    BON                                   
051439,000976: 12,2565           02766                                    INDEP                                 
051440,000977: 12,2566           04311                                    ORDERSW                               
051441,000978: 12,2567           24571                                    MINCHECK                              
051442,000979: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
051443,000980: 
051444,000981: 12,2571           45221        MINCHECK           BDSU     DSU                                   
051445,000982: 12,2572           00011                                    MIN                                   
051446,000983: 12,2573           51000                           BOV      BPL                                   
051447,000984: 12,2574           24600                                    MODNGDEL                              
051448,000985: 12,2575           24600                                    MODNGDEL                              
051449,000986: 12,2576           77650                           GOTO                                           
051450,000987: 12,2577           24632                                    DELOK                                 
051451,000988: 
051452,000989: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
051453,000990: 12,2601           00011                                    MIN                                   
051454,000991: 12,2602           02766                                    INDEP                                 
051455,000992: 12,2603           52005                           DMP      GOTO                                  
051456,000993: 12,2604           11051                                    DP9/10                                
051457,000994: 12,2605           24634                                    NEWDEL                                
051458,000995: 
051459,000996: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
051460,000997: 12,2607           00011                                    MIN                                   
051461,000998: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
051462,000999: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1183

051464,001001: 12,2612           00017                                    MAX                                   
051465,001002: 12,2613           00051                                    TWEEKIT                               
051466,001003: 12,2614           77625                           DSU                                            
051467,001004: 12,2615           52165                           SIGN     GOTO                                  
051468,001005: 12,2616           02760                                    DELDEP                                
051469,001006: 12,2617           24562                                    SGNCHECK                              
051470,001007: 
051471,001008: 12,2620           43145        POSDEL             DLOAD    BON                                   
051472,001009: 12,2621           02766                                    INDEP                                 
051473,001010: 12,2622           04311                                    ORDERSW                               
051474,001011: 12,2623           24625                                    MAXCHECK                              
051475,001012: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
051476,001013: 
051477,001014: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
051478,001015: 12,2626           00017                                    MAX                                   
051479,001016: 12,2627           50000                           BOV      BMN                                   
051480,001017: 12,2630           24636                                    MODPSDEL                              
051481,001018: 12,2631           24636                                    MODPSDEL                              
051482,001019: 12,2632           77745        DELOK              DLOAD                                          
051483,001020: 12,2633           00001                                    0D                                    
051484,001021: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
051485,001022: 12,2635           77616                           RVQ                                            
051486,001023: 
051487,001024: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
051488,001025: 12,2637           00017                                    MAX                                   
051489,001026: 12,2640           02766                                    INDEP                                 
051490,001027: 12,2641           52005                           DMP      GOTO                                  
051491,001028: 12,2642           11051                                    DP9/10                                
051492,001029: 12,2643           24634                                    NEWDEL                                
051493,001030: 
051494,001031: 12,2644           44753        CHECKCTR           CS       ONE                                   
051495,001032: 12,2645           50120                           INDEX    FIXLOC                                
051496,001033: 12,2646           60026                           AD       ITERCTR                               
051497,001034: 12,2647           50120                           INDEX    FIXLOC                                
051498,001035: 12,2650           54026                           TS       ITERCTR                               
051499,001036: 12,2651           54154                           TS       MPAC                                  
051500,001037: 12,2652           06061                           TC       DANZIG                                
051501,001038: 

Page 1184

051503,001040: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
051504,001041: 12,2654           00041                                    R1                                    
051505,001042: 12,2655           74225                           DSU      VXSC                                  
051506,001043: 12,2656           00035                                    XSQC(XI)                              
051507,001044: 12,2657           02722                                    UR1                                   
051508,001045: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
051509,001046: 12,2661           00025                                    X                                     
051510,001047: 12,2662           60316                           DSQ      NORM                                  
051511,001048: 12,2663           00047                                    X1                                    
051512,001049: 12,2664           57275                           DMPR     DMPR                                  
051513,001050: 12,2665           00023                                    1/ROOTMU                              
051514,001051: 12,2666           00025                                    X                                     
051515,001052: 12,2667           53605                           DMP      SRR*                                  
051516,001053: 12,2670           00033                                    S(XI)                                 
051517,001054: 12,2671           21572                                    0          -7,1                       
051518,001055: 12,2672           77621                           BDSU                                           
051519,001056: 12,2673           00037                                    T                                     
051520,001057: 12,2674           74352                           SL1      VXSC                                  
051521,001058: 12,2675           02744                                    VVEC                                  
051522,001059: 12,2676           53372                           VSL1     VAD                                   #                                PL AT 0
051523,001060: 12,2677           41512                           VSL4     PUSH                                  
051524,001061: 12,2700           77646                           ABVAL                                          
051525,001062: 12,2701           77701        LAMENTER           NORM                                           
051526,001063: 12,2702           00047                                    X1                                    
051527,001064: 12,2703           16720                           STODL    R2                                    
051528,001065: 12,2704           00031                                    XI                                    
051529,001066: 12,2705           45205                           DMP      DSU                                   
051530,001067: 12,2706           00033                                    S(XI)                                 
051531,001068: 12,2707           11033                                    D1/128                                
051532,001069: 12,2710           76405                           DMP      SL1R                                  
051533,001070: 12,2711           00021                                    ROOTMU                                
051534,001071: 12,2712           53605                           DMP      SLR*                                  
051535,001072: 12,2713           00025                                    X                                     
051536,001073: 12,2714           21176                                    0          -3,1                       
051537,001074: 12,2715           74271                           DDV      VXSC                                  
051538,001075: 12,2716           02720                                    R2                                    
051539,001076: 12,2717           02722                                    UR1                                   
051540,001077: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
051541,001078: 12,2721           00035                                    XSQC(XI)                              
051542,001079: 12,2722           56257                           SLR*     DDV                                   
051543,001080: 12,2723           21175                                    0          -4,1                       
051544,001081: 12,2724           02720                                    R2                                    
051545,001082: 12,2725           77621                           BDSU                                           
051546,001083: 12,2726           11047                                    D1/256                                
051547,001084: 12,2727           53361                           VXSC     VAD                                   #                                PL AT 6
051548,001085: 12,2730           02744                                    VVEC                                  
051549,001086: 12,2731           43412                           VSL8     RVQ                                   
051550,001087: 

Page 1185

051552,001089: 04,2000                                           SETLOC   CONICS1                               
051553,001090: 04,2000                                           BANK                                           
051554,001091: 
051555,001092: 04,3027                                           COUNT*   $$/CONIC                              
051556,001093:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
051557,001094: 04,3027           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
051558,001095: 04,3030           04000 00000  D1/8               2DEC     1.0        B-3                        
051559,001096: 04,3032           00200 00000  D1/128             2DEC     1.0        B-7                        
051560,001097: 04,3034           00400 00000  D1/64              2DEC     1.0        B-6                        
051561,001098: 04,3036           10000 00000  D1/4               2DEC     1.0        B-2                        
051562,001099: 04,3040           02000 00000  D1/16              2DEC     1.0        B-4                        
051563,001100: 04,3042           01000 00000  D1/32              2DEC     1.0        B-5                        
051564,001101: 04,3044           00020 00000  D1/1024            2DEC     1.0        B-10                       
051565,001102: 04,3046           00100 00000  D1/256             2DEC     1.0        B-8                        
051566,001103: 04,3050           34631 23146  DP9/10             2DEC     .9                                    
051567,001104: 04,3052  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
051568,001105: 04,3052           77467 77777  -50SC              2DEC     -50.0      B-12                       
051569,001106: 04,3054           03110 17665  2PISC              2DEC     6.28318530 B-6                        
051570,001107: 04,3056  04,3041               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
051571,001108: 04,3056  04,3045               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
051572,001109: 04,3056           00000 00001  ONEBIT             2DEC     1.0        B-28                       
051573,001110: 04,3060           37767 37737  COGUPLIM           2DEC     .999511597                            
051574,001111: 04,3062           40010 40040  COGLOLIM           2DEC     -.999511597                            
051575,001112: 

Page 1186

051577,001114: 12,2000                                           SETLOC   CONICS                                
051578,001115: 12,2000                                           BANK                                           
051579,001116: 
051580,001117: 12,2732                                           COUNT*   $$/CONIC                              
051581,001118: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
051582,001119: 12,2733           02710                                    RTNTT                                 
051583,001120: 12,2734           00001                                    0                                     
051584,001121: 12,2735           77600                           BOV                                            
051585,001122: 12,2736           24737                                    +1                                    
051586,001123: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
051587,001124: 12,2740           02655                                    RVEC                                  
051588,001125: 12,2741           02744                                    VVEC                                  
051589,001126: 12,2742           77624                           CALL                                           
051590,001127: 12,2743           11064                                    PARAM                                 
051591,001128: 12,2744           45000                           BOV      CALL                                  #                                PL AT 0
051592,001129: 12,2745           24764                                    COGAOVFL                              
051593,001130: 12,2746           24767                                    GETX                                  
051594,001131: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
051595,001132: 12,2750           00031                                    XI                                    
051596,001133: 12,2751           04310                                    INFINFLG                              
051597,001134: 12,2752           25742                                    ABTCONIC                              
051598,001135: 12,2753           45014                           CLEAR    CALL                                  
051599,001136: 12,2754           04273                                    COGAFLAG                              
051600,001137: 12,2755           24421                                    DELTIME                               
051601,001138: 12,2756           45014                           BON      CALL                                  
051602,001139: 12,2757           03706                                    RVSW                                  
051603,001140: 12,2760           02710                                    RTNTT                                 
051604,001141: 12,2761           24653                                    NEWSTATE                              
051605,001142: 12,2762           77650                           GOTO                                           
051606,001143: 12,2763           02710                                    RTNTT                                 
051607,001144: 
051608,001145: 12,2764           77614        COGAOVFL           SETGO                                          
051609,001146: 12,2765           04033                                    COGAFLAG                              
051610,001147: 12,2766           25742                                    ABTCONIC                              
051611,001148: 
051612,001149: 04,3064                                           BANK     4                                     
051613,001150: 04,2000                                           SETLOC   CONICS1                               
051614,001151: 04,2000                                           BANK                                           
051615,001152: 04,3064                                           COUNT*   $$/CONIC                              
051616,001153: 04,3064           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
051617,001154: 04,3065           02753                                    RTNPRM                                
051618,001155: 04,3066           03665                                    NORMSW                                
051619,001156: 04,3067           77614                           CLEAR                                          
051620,001157: 04,3070           04273                                    COGAFLAG                              
051621,001158: 04,3071           45131                           SSP      CALL                                  
051622,001159: 04,3072           02673                                    GEOMSGN                               
051623,001160: 04,3073           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
051624,001161: 04,3074           11130                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
051625,001162: 04,3075           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0
051626,001163: 04,3076           56261                           SR       DDV                                   

Page 1187

051628,001165: 04,3077           20606                                    5                                     
051629,001166: 04,3100           00045                                    36D                                   
051630,001167: 04,3101           32766                           STOVL*   COGA                                  
051631,001168: 04,3102           10005                                    MUTABLE,1                             
051632,001169: 04,3103           14017                           STODL    1/MU                                  
051633,001170: 04,3104           02720                                    MAGVEC2                               
051634,001171: 04,3105           60316                           DSQ      NORM                                  
051635,001172: 04,3106           00047                                    X1                                    
051636,001173: 04,3107           41275                           DMPR     DMP                                   
051637,001174: 04,3110           00017                                    1/MU                                  
051638,001175: 04,3111           00041                                    R1                                    
051639,001176: 04,3112           77657                           SRR*                                           
051640,001177: 04,3113           21576                                    0          -3,1                       
051641,001178: 04,3114           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
051642,001179: 04,3115           11043                                    D1/32                                 
051643,001180: 04,3116           16742                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
051644,001181: 
051645,001182: 04,3117           60205                           DMP      NORM                                  
051646,001183: 04,3120           00045                                    36D                                   
051647,001184: 04,3121           00047                                    X1                                    
051648,001185: 04,3122           53605                           DMP      SR*                                   
051649,001186: 04,3123           00045                                    36D                                   
051650,001187: 04,3124           20575                                    0          -4,1                       
051651,001188: 04,3125           02740                           STORE    P                                     #  P (+4)
051652,001189: 04,3126           77650                           GOTO                                           
051653,001190: 04,3127           02753                                    RTNPRM                                
051654,001191: 

Page 1188

051656,001193: 04,3130           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
051657,001194: 04,3131           16712                           STODL    U2                                    #  U2 (+1)
051658,001195: 04,3132           00045                                    36D                                   
051659,001196: 04,3133           26720                           STOVL    MAGVEC2                               #                                PL AT 0
051660,001197: 04,3134           77656                           UNIT                                           
051661,001198: 04,3135           02722                           STORE    UR1                                   #  UR1 (+1)
051662,001199: 04,3136           72441                           DOT      SL1                                   
051663,001200: 04,3137           02712                                    U2                                    
051664,001201: 04,3140           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
051665,001202: 04,3141           00045                                    36D                                   
051666,001203: 04,3142           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
051667,001204: 04,3143           02722                                    UR1                                   
051668,001205: 04,3144           76435                           VXV      VSL1                                  
051669,001206: 04,3145           02712                                    U2                                    
051670,001207: 04,3146           75214                           BON      SIGN                                  
051671,001208: 04,3147           03705                                    NORMSW                                
051672,001209: 04,3150           11162                                    HAVENORM                              
051673,001210: 04,3151           02673                                    GEOMSGN                               
051674,001211: 04,3152           40056                           UNIT     BOV                                   
051675,001212: 04,3153           11160                                    COLINEAR                              
051676,001213: 04,3154           16674        UNITNORM           STODL    UN                                    #  UN (+1)
051677,001214: 04,3155           00045                                    36D                                   
051678,001215: 04,3156           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
051679,001216: 04,3157           02673                                    GEOMSGN                               
051680,001217: 
051681,001218: 04,3160           52162        COLINEAR           VSR1     GOTO                                  
051682,001219: 04,3161           11154                                    UNITNORM                              
051683,001220: 
051684,001221: 04,3162           75246        HAVENORM           ABVAL    SIGN                                  
051685,001222: 04,3163           02673                                    GEOMSGN                               
051686,001223: 04,3164           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
051687,001224: 

Page 1189

051689,001226: 12,2767                                           BANK     12                                    
051690,001227: 12,2000                                           SETLOC   CONICS                                
051691,001228: 12,2000                                           BANK                                           
051692,001229: 
051693,001230: 12,2767                                           COUNT*   $$/CONIC                              
051694,001231: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
051695,001232: 12,2770           00003                                    3                                     
051696,001233: 12,2771           00052                                    S2                                    
051697,001234: 12,2772           00001                                    1                                     
051698,001235: 12,2773           77614                           CLEAR                                          
051699,001236: 12,2774           04276                                    360SW                                 
051700,001237: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
051701,001238: 12,2776           02732                                    CSTH                                  
051702,001239: 12,2777           44342                           SR1      BDSU                                  
051703,001240: 12,3000           11037                                    D1/4                                  
051704,001241: 12,3001           54325                           PDDL     SRR                                   #                                PL AT 4D
051705,001242: 12,3002           02730                                    SNTH                                  
051706,001243: 12,3003           21607                                    6                                     
051707,001244: 12,3004           77671                           DDV                                            #                                PL AT 2
051708,001245: 12,3005           77600                           BOV                                            
051709,001246: 12,3006           25122                                    360CHECK                              
051710,001247: 12,3007           41225                           DSU      DMP                                   
051711,001248: 12,3010           02766                                    COGA                                  #                                PL AT 0
051712,001249: 12,3011           40132                           SL2R     BOV                                   
051713,001250: 12,3012           25122                                    360CHECK                              
051714,001251: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
051715,001252: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
051716,001253: 12,3015           00155                                    MPAC                                  
051717,001254: 12,3016           02742                                    R1A                                   
051718,001255: 12,3017           76202                           SR4      TAD                                   #                                PL AT 2
051719,001256: 12,3020           75440                           BMN      SQRT                                  
051720,001257: 12,3021           25205                                    INFINITY                              
051721,001258: 12,3022           43306                           ROUND    DAD                                   #                                PL AT 0D
051722,001259: 12,3023           61000                           BOV      TIX,2                                 
051723,001260: 12,3024           25120                                    RESETX2                               
051724,001261: 12,3025           25013                                    WLOOP                                 
051725,001262: 
051726,001263: 12,3026           40065                           BDDV     BOV                                   
051727,001264: 12,3027           11033                                    D1/128                                
051728,001265: 12,3030           25205                                    INFINITY                              
051729,001266: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
051730,001267: 12,3032           25205                                    INFINITY                              
051731,001268: 12,3033           77716                           DSQ                                            
051732,001269: 12,3034           41301                           NORM     DMP                                   
051733,001270: 12,3035           00047                                    X1                                    
051734,001271: 12,3036           02742                                    R1A                                   
051735,001272: 12,3037           77457                           SRR*     EXIT                                  
051736,001273: 12,3040           21567                                    0          -10D,1                     
051737,001274: 12,3041           07222                           TC       POLY                                  

Page 1190

051739,001276: 12,3042           00005                           DEC      5          B-14                       
051740,001277: 12,3043           20000 00000                     2DEC     .5                                    
051741,001278: 12,3045           72525 52471                     2DEC     -.166666770                            
051742,001279: 12,3047           03146 15003                     2DEC     .100000392                            
051743,001280: 12,3051           75556 45210                     2DEC     -.071401086                            
051744,001281: 12,3053           01615 13553                     2DEC     .055503292                            
051745,001282: 12,3055           76371 63777                     2DEC     -.047264098                            
051746,001283: 12,3057           01232 27367                     2DEC     .040694204                            
051747,001284: 
051748,001285: 12,3061           06037                           TC       INTPRET                               
051749,001286: 12,3062           76405                           DMP      SL1R                                  #                                PL AT 0D
051750,001287: 12,3063           43006                           PUSH     BON                                   
051751,001288: 12,3064           04316                                    360SW                                 
051752,001289: 12,3065           25172                                    TRUE360X                              
051753,001290: 12,3066           60316        XCOMMON            DSQ      NORM                                  
051754,001291: 12,3067           00047                                    X1                                    
051755,001292: 12,3070           53605                           DMP      SRR*                                  
051756,001293: 12,3071           02742                                    R1A                                   
051757,001294: 12,3072           21565                                    0          -12D,1                     
051758,001295: 12,3073           14031                           STODL    XI                                    #  XI (+6)
051759,001296: 12,3074           00041                                    R1                                    
051760,001297: 12,3075           75542                           SR1      SQRT                                  
051761,001298: 12,3076           41306                           ROUND    DMP                                   
051762,001299: 12,3077           77632                           SL4R                                           #                                PL AT 0
051763,001300: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
051764,001301: 
051765,001302: 12,3101           60316                           DSQ      NORM                                  
051766,001303: 12,3102           00047                                    X1                                    
051767,001304: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
051768,001305: 12,3104           02740                                    P                                     
051769,001306: 12,3105           00041                                    R1                                    
051770,001307: 12,3106           75452                           SL3      SQRT                                  
051771,001308: 12,3107           56405                           DMP      SL3R                                  
051772,001309: 12,3110           02766                                    COGA                                  
051773,001310: 12,3111           14043                           STODL    KEPC1                                 
051774,001311: 12,3112           02742                                    R1A                                   
051775,001312: 12,3113           43021                           BDSU     CLEAR                                 
051776,001313: 12,3114           11035                                    D1/64                                 
051777,001314: 12,3115           04270                                    INFINFLG                              
051778,001315: 12,3116           00045                           STORE    KEPC2                                 
051779,001316: 12,3117           77616                           RVQ                                            
051780,001317: 

Page 1191

051782,001319: 12,3120           77774        RESETX2            AXT,2                                          
051783,001320: 12,3121           00003                                    3                                     
051784,001321: 
051785,001322: 12,3122           51001        360CHECK           SETPD    BPL                                   
051786,001323: 12,3123           00001                                    0D                                    
051787,001324: 12,3124           25127                                    INVRSEQN                              
051788,001325: 12,3125           77614                           SET                                            
051789,001326: 12,3126           04076                                    360SW                                 
051790,001327: 
051791,001328: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
051792,001329: 12,3130           02740                                    P                                     
051793,001330: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
051794,001331: 12,3132           02730                                    SNTH                                  
051795,001332: 12,3133           02766                                    COGA                                  
051796,001333: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
051797,001334: 12,3135           02732                                    CSTH                                  
051798,001335: 12,3136           43202                           SR4      DAD                                   
051799,001336: 12,3137           11043                                    D1/32                                 
051800,001337: 12,3140           41225                           DSU      DMP                                   #                                PL AT 2,0
051801,001338: 12,3141           55301                           NORM     BDDV                                  
051802,001339: 12,3142           00047                                    X1                                    
051803,001340: 12,3143           02730                                    SNTH                                  
051804,001341: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
051805,001342: 12,3145           21174                                    0          -5,1                       
051806,001343: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
051807,001344: 12,3147           14043                           STODL    34D                                   
051808,001345: 12,3150           11041                                    D1/16                                 
051809,001346: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
051810,001347: 12,3152           65234                           RTB      PDDL                                  #                                PL AT 7
051811,001348: 12,3153           21633                                    TPMODE                                
051812,001349: 12,3154           02742                                    R1A                                   
051813,001350: 12,3155           40405                           DMP      SR4                                   
051814,001351: 12,3156           00043                                    34D                                   
051815,001352: 12,3157           77771                           TAD                                            #                                PL AT 4
051816,001353: 12,3160           75440                           BMN      SQRT                                  
051817,001354: 12,3161           25205                                    INFINITY                              
051818,001355: 12,3162           77615                           DAD                                            #                                PL AT 2
051819,001356: 12,3163           60304                           TIX,2    NORM                                  
051820,001357: 12,3164           25151                                    1/WLOOP                               
051821,001358: 12,3165           00047                                    X1                                    
051822,001359: 12,3166           77665                           BDDV                                           
051823,001360: 12,3167           52057                           SLR*     GOTO                                  #                                PL AT 0
051824,001361: 12,3170           21172                                    0          -7,1                       
051825,001362: 12,3171           25031                                    POLYCOEF                              
051826,001363: 
051827,001364: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
051828,001365: 12,3173           02742                                    R1A                                   

Page 1192

051830,001367: 12,3174           25205                                    INFINITY                              
051831,001368: 12,3175           60366                           SQRT     NORM                                  
051832,001369: 12,3176           00047                                    X1                                    
051833,001370: 12,3177           53665                           BDDV     SL*                                   
051834,001371: 12,3200           11055                                    2PISC                                 
051835,001372: 12,3201           20176                                    0          -3,1                       
051836,001373: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
051837,001374: 12,3203           77650                           GOTO                                           
051838,001375: 12,3204           25066                                    XCOMMON                               
051839,001376: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
051840,001377: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
051841,001378: 12,3207           25210                                    OVFLCLR                               
051842,001379: 12,3210           43414        OVFLCLR            SET      RVQ                                   
051843,001380: 12,3211           04070                                    INFINFLG                              
051844,001381: 

Page 1193

051846,001383: 12,3212           40220        LAMBERT            STQ      SETPD                                 
051847,001384: 12,3213           02710                                    RTNLAMB                               
051848,001385: 12,3214           00001                                    0D                                    
051849,001386: 12,3215           77600                           BOV                                            
051850,001387: 12,3216           25217                                    +1                                    
051851,001388: 12,3217           76614                           CLEAR    VLOAD*                                
051852,001389: 12,3220           02674                                    SOLNSW                                
051853,001390: 12,3221           10005                                    MUTABLE,1                             
051854,001391: 12,3222           14017                           STODL    1/MU                                  
051855,001392: 12,3223           02671                                    TDESIRED                              
051856,001393: 12,3224           77675                           DMPR                                           
051857,001394: 12,3225           11042                                    BEE19                                 
051858,001395: 12,3226           02764                           STORE    EPSILONL                              
051859,001396: 12,3227           77214                           SET      VLOAD                                 
051860,001397: 12,3230           00474                                    SLOPESW                               
051861,001398: 12,3231           02655                                    R1VEC                                 
051862,001399: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
051863,001400: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
051864,001401: 12,3234           11130                                    GEOM                                  
051865,001402: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
051866,001403: 12,3236           02720                                    MAGVEC2                               
051867,001404: 12,3237           65301                           NORM     PDDL                                  #                                PL AT 4
051868,001405: 12,3240           00047                                    X1                                    
051869,001406: 12,3241           00041                                    R1                                    
051870,001407: 12,3242           56342                           SR1      DDV                                   #                                PL AT 2
051871,001408: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
051872,001409: 12,3244           20173                                    0          -6,1                       
051873,001410: 12,3245           77626                           STADR                                          
051874,001411: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
051875,001412: 12,3247           44342                           SR1      BDSU                                  
051876,001413: 12,3250           11037                                    D1/4                                  
051877,001414: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
051878,001415: 
051879,001416: 12,3252           53106                           ROUND    BZE                                   
051880,001417: 12,3253           25463                                    360LAMB                               
051881,001418: 12,3254           65301                           NORM     PDDL                                  #                                PL AT 4
051882,001419: 12,3255           00047                                    X1                                    
051883,001420: 12,3256           00001                                    0D                                    
051884,001421: 12,3257           56342                           SR1      DDV                                   #                                PL AT 2
051885,001422: 12,3260           75457                           SL*      SQRT                                  
051886,001423: 12,3261           20176                                    0          -3,1                       
051887,001424: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
051888,001425: 12,3263           02730                                    SNTH                                  
051889,001426: 12,3264           20607                                    6                                     
051890,001427: 12,3265           43271                           DDV      DAD                                   #                                PL AT 2
051891,001428: 12,3266           02734                                    1-CSTH                                
051892,001429: 12,3267           77626                           STADR                                          
051893,001430: 12,3270           77760                           STORE    COGAMAX                               
051894,001431: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
051895,001432: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1194

051897,001434: 12,3273           25302                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
051898,001435: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
051899,001436: 12,3275           11061                                    COGUPLIM                              
051900,001437: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
051901,001438: 12,3277           77745        UPLIM              DLOAD                                          
051902,001439: 12,3300           11061                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
051903,001440: 12,3301           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
051904,001441: 12,3302           77745        MAXCOGA            DLOAD                                          
051905,001442: 12,3303           02732                                    CSTH                                  
051906,001443: 12,3304           45261                           SR       DSU                                   #                                PL AT 0
051907,001444: 12,3305           20607                                    6                                     
051908,001445: 12,3306           77626                           STADR                                          
051909,001446: 12,3307           61041                           STODL    CSTH-RHO                              
051910,001447: 12,3310           02673                                    GEOMSGN                               
051911,001448: 12,3311           71240                           BMN      DLOAD                                 
051912,001449: 12,3312           25503                                    LOLIM                                 
051913,001450: 12,3313           02736                                    CSTH-RHO                              
051914,001451: 12,3314           56352                           SL1      DDV                                   
051915,001452: 12,3315           02730                                    SNTH                                  
051916,001453: 12,3316           77600                           BOV                                            
051917,001454: 12,3317           25503                                    LOLIM                                 
051918,001455: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
051919,001456: 12,3321           66214                           BON      SSP                                   
051920,001457: 12,3322           00715                                    GUESSW                                
051921,001458: 12,3323           25467                                    NOGUESS                               
051922,001459: 12,3324           00051                                    TWEEKIT                               
051923,001460: 12,3325           00001                                    00001                                 
051924,001461: 12,3326           77745                           DLOAD                                          
051925,001462: 12,3327           02766                                    COGA                                  
051926,001463: 
051927,001464: 12,3330           77605        LAMBLOOP           DMP                                            
051928,001465: 12,3331           02730                                    SNTH                                  
051929,001466: 12,3332           45342                           SR1      DSU                                   
051930,001467: 12,3333           02736                                    CSTH-RHO                              
051931,001468: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
051932,001469: 12,3335           00047                                    X1                                    
051933,001470: 12,3336           02734                                    1-CSTH                                
051934,001471: 12,3337           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
051935,001472: 12,3340           20170                                    0          -9D,1                      
051936,001473: 12,3341           53040                           BMN      BZE                                   
051937,001474: 12,3342           25417                                    NEGP                                  
051938,001475: 12,3343           25417                                    NEGP                                  
051939,001476: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
051940,001477: 12,3345           02766                                    COGA                                  
051941,001478: 12,3346           43316                           DSQ      DAD                                   
051942,001479: 12,3347           11045                                    D1/1024                               
051943,001480: 12,3350           41301                           NORM     DMP                                   
051944,001481: 12,3351           00047                                    X1                                    
051945,001482: 12,3352           02740                                    P                                     

Page 1195

051947,001484: 12,3353           44257                           SR*      BDSU                                  
051948,001485: 12,3354           20571                                    0          -8D,1                      
051949,001486: 12,3355           11043                                    D1/32                                 
051950,001487: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
051951,001488: 12,3357           02740                                    P                                     
051952,001489: 12,3360           45000                           BOV      CALL                                  
051953,001490: 12,3361           25422                                    HIENERGY                              
051954,001491: 12,3362           24767                                    GETX                                  
051955,001492: 12,3363           77745                           DLOAD                                          
051956,001493: 12,3364           00037                                    T                                     
051957,001494: 12,3365           16762                           STODL    TPREV                                 
051958,001495: 12,3366           00031                                    XI                                    
051959,001496: 12,3367           45014                           BON      CALL                                  
051960,001497: 12,3370           04310                                    INFINFLG                              
051961,001498: 12,3371           25417                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
051962,001499: 12,3372           24421                                    DELTIME                               
051963,001500: 12,3373           44200                           BOV      BDSU                                  
051964,001501: 12,3374           25437                                    BIGTIME                               
051965,001502: 12,3375           02671                                    TDESIRED                              
051966,001503: 12,3376           02760                           STORE    TERRLAMB                              
051967,001504: 12,3377           44246                           ABS      BDSU                                  
051968,001505: 12,3400           02764                                    EPSILONL                              
051969,001506: 12,3401           47044                           BPL      RTB                                   
051970,001507: 12,3402           25506                                    INITV                                 
051971,001508: 12,3403           24644                                    CHECKCTR                              
051972,001509: 12,3404           45030                           BHIZ     CALL                                  
051973,001510: 12,3405           25450                                    SUFFCHEK                              
051974,001511: 12,3406           24536                                    ITERATOR                              
051975,001512: 12,3407           53145                           DLOAD    BZE                                   
051976,001513: 12,3410           00155                                    MPAC                                  
051977,001514: 12,3411           25450                                    SUFFCHEK                              
051978,001515: 12,3412           77615                           DAD                                            
051979,001516: 12,3413           02766                                    COGA                                  
051980,001517: 12,3414           02766                           STORE    COGA                                  
051981,001518: 12,3415           77650                           GOTO                                           
051982,001519: 12,3416           25330                                    LAMBLOOP                              
051983,001520: 
051984,001521: 12,3417           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
051985,001522: 12,3420           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
051986,001523: 12,3421           25442                                    LOENERGY                              
051987,001524: 
051988,001525: 12,3422           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
051989,001526: 12,3423           00001                                    0                                     
051990,001527: 12,3424           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
051991,001528: 12,3425           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
051992,001529: 12,3426           70545        COMMONLM           DLOAD    SR1                                   
051993,001530: 12,3427           00015                                    DCOGA                                 

Page 1196

051995,001532: 12,3430           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
051996,001533: 12,3431           44254                           BZE      BDSU                                  
051997,001534: 12,3432           25450                                    SUFFCHEK                              
051998,001535: 12,3433           02766                                    COGA                                  
051999,001536: 12,3434           02766                           STORE    COGA                                  
052000,001537: 12,3435           77650                           GOTO                                           #  RESTART THIS LOOP
052001,001538: 12,3436           25330                                    LAMBLOOP                              
052002,001539: 
052003,001540: 12,3437           77745        BIGTIME            DLOAD                                          
052004,001541: 12,3440           02762                                    TPREV                                 
052005,001542: 12,3441           00037                           STORE    T                                     
052006,001543: 
052007,001544: 12,3442           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
052008,001545: 12,3443           00001                                    0                                     
052009,001546: 12,3444           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
052010,001547: 12,3445           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
052011,001548: 12,3446           77650                           GOTO                                           
052012,001549: 12,3447           25426                                    COMMONLM                              
052013,001550: 
052014,001551: 12,3450           51545        SUFFCHEK           DLOAD    ABS                                   
052015,001552: 12,3451           02760                                    TERRLAMB                              
052016,001553: 12,3452           41325                           PDDL     DMP                                   #                                PL AT 2D
052017,001554: 12,3453           02671                                    TDESIRED                              
052018,001555: 12,3454           11030                                    BEE17                                 
052019,001556: 12,3455           45215                           DAD      DSU                                   #                                PL AT 0D
052020,001557: 12,3456           11057                                    ONEBIT                                
052021,001558: 12,3457           43044                           BPL      SETGO                                 
052022,001559: 12,3460           25506                                    INITV                                 
052023,001560: 12,3461           02434                                    SOLNSW                                
052024,001561: 12,3462           25506                                    INITV                                 
052025,001562: 12,3463           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
052026,001563: 12,3464           00001                                    0                                     
052027,001564: 12,3465           02434                                    SOLNSW                                
052028,001565: 12,3466           02710                                    RTNLAMB                               
052029,001566: 
052030,001567: 12,3467           71331        NOGUESS            SSP      DLOAD                                 
052031,001568: 12,3470           00051                                    TWEEKIT                               
052032,001569: 12,3471           10000                                    20000                                 
052033,001570: 12,3472           00011                                    COGAMIN                               
052034,001571: 12,3473           65342                           SR1      PDDL                                  #                                PL AT 2
052035,001572: 12,3474           00017                                    COGAMAX                               
052036,001573: 12,3475           43342                           SR1      DAD                                   
052037,001574: 12,3476           77626                           STADR                                          #                                PL AT 0
052038,001575: 12,3477           75011                           STORE    COGA                                  
052039,001576: 12,3500           00015                           STORE    DCOGA                                 
052040,001577: 12,3501           77650                           GOTO                                           

Page 1197

052042,001579: 12,3502           25330                                    LAMBLOOP                              
052043,001580: 
052044,001581: 12,3503           52145        LOLIM              DLOAD    GOTO                                  
052045,001582: 12,3504           11063                                    COGLOLIM                              #  COGLOLIM=-.999511597
052046,001583: 12,3505           25320                                    MINCOGA                               
052047,001584: 
052048,001585: 12,3506           60345        INITV              DLOAD    NORM                                  
052049,001586: 12,3507           00041                                    R1                                    
052050,001587: 12,3510           00047                                    X1                                    
052051,001588: 12,3511           70525                           PDDL     SR1                                   #                                PL AT 2
052052,001589: 12,3512           02740                                    P                                     
052053,001590: 12,3513           77671                           DDV                                            #                                PL AT 0
052054,001591: 12,3514           75457                           SL*      SQRT                                  
052055,001592: 12,3515           20175                                    0          -4,1                       
052056,001593: 12,3516           72405                           DMP      SL1                                   
052057,001594: 12,3517           00021                                    ROOTMU                                
052058,001595: 12,3520           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
052059,001596: 12,3521           02766                                    COGA                                  
052060,001597: 12,3522           74261                           SL       VXSC                                  
052061,001598: 12,3523           20206                                    5                                     
052062,001599: 12,3524           02722                                    UR1                                   
052063,001600: 12,3525           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
052064,001601: 12,3526           76561                           VXSC     VSL1                                  
052065,001602: 12,3527           02674                                    UN                                    
052066,001603: 12,3530           53235                           VXV      VAD                                   #                                PL AT 0
052067,001604: 12,3531           02722                                    UR1                                   
052068,001605: 12,3532           77772                           VSL1                                           
052069,001606: 12,3533           02744                           STORE    VVEC                                  
052070,001607: 12,3534           53135                           SLOAD    BZE                                   
052071,001608: 12,3535           02702                                    VTARGTAG                              
052072,001609: 12,3536           25541                                    TARGETV                               
052073,001610: 12,3537           77650                           GOTO                                           
052074,001611: 12,3540           02710                                    RTNLAMB                               
052075,001612: 
052076,001613: 12,3541           45145        TARGETV            DLOAD    CALL                                  
052077,001614: 12,3542           02720                                    MAGVEC2                               
052078,001615: 12,3543           24701                                    LAMENTER                              
052079,001616: 12,3544           02703                           STORE    VTARGET                               
052080,001617: 12,3545           77650                           GOTO                                           
052081,001618: 12,3546           02710                                    RTNLAMB                               
052082,001619: 

Page 1198

052084,001621: 12,3547           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
052085,001622: 12,3550           02710                                    RTNTR                                 
052086,001623: 12,3551           00001                                    0                                     
052087,001624: 12,3552           77600                           BOV                                            
052088,001625: 12,3553           25554                                    +1                                    
052089,001626: 12,3554           63375                           VLOAD    PDVL                                  #                                PL AT 6
052090,001627: 12,3555           02655                                    RVEC                                  
052091,001628: 12,3556           02744                                    VVEC                                  
052092,001629: 12,3557           77624                           CALL                                           
052093,001630: 12,3560           11064                                    PARAM                                 
052094,001631: 12,3561           71200                           BOV      DLOAD                                 #                                PL AT 0
052095,001632: 12,3562           24764                                    COGAOVFL                              
052096,001633: 12,3563           11043                                    D1/32                                 
052097,001634: 12,3564           41225                           DSU      DMP                                   
052098,001635: 12,3565           02742                                    R1A                                   
052099,001636: 12,3566           02740                                    P                                     
052100,001637: 12,3567           41366                           SQRT     DMP                                   
052101,001638: 12,3570           02766                                    COGA                                  
052102,001639: 12,3571           74212                           SL4      VXSC                                  
052103,001640: 12,3572           02712                                    U2                                    
052104,001641: 12,3573           45325                           PDDL     DSU                                   #                                PL AT 6
052105,001642: 12,3574           11035                                    D1/64                                 
052106,001643: 12,3575           02742                                    R1A                                   
052107,001644: 12,3576           52361                           VXSC     VSU                                   #                                PL AT 0
052108,001645: 12,3577           02722                                    UR1                                   
052109,001646: 12,3600           53512                           VSL4     UNIT                                  
052110,001647: 12,3601           77600                           BOV                                            
052111,001648: 12,3602           25660                                    CIRCULAR                              
052112,001649: 12,3603           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
052113,001650: 12,3604           02756                                    RDESIRED                              #  36D=ECC (+3)
052114,001651: 12,3605           00047                                    X1                                    
052115,001652: 12,3606           41325                           PDDL     DMP                                   #                                PL AT 8
052116,001653: 12,3607           00041                                    R1                                    
052117,001654: 12,3610           02740                                    P                                     
052118,001655: 12,3611           56257                           SL*      DDV                                   #                                PL AT 6
052119,001656: 12,3612           20201                                    0,1                                   
052120,001657: 12,3613           56225                           DSU      DDV                                   
052121,001658: 12,3614           11041                                    D1/16                                 
052122,001659: 12,3615           00045                                    36D                                   #  36D=ECC (+3)
052123,001660: 12,3616           00031                           STORE    COSF                                  
052124,001661: 12,3617           63400                           BOV      DSQ                                   
052125,001662: 12,3620           25664                                    BADR2                                 
052126,001663: 12,3621           50021                           BDSU     BMN                                   
052127,001664: 12,3622           11037                                    D1/4                                  
052128,001665: 12,3623           25664                                    BADR2                                 
052129,001666: 12,3624           75366                           SQRT     SIGN                                  
052130,001667: 12,3625           02755                                    SGNRDOT                               
052131,001668: 12,3626           77614                           CLEAR                                          
052132,001669: 12,3627           04272                                    APSESW                                

Page 1199

052134,001671: 12,3630           76561        TERMNVEC           VXSC     VSL1                                  
052135,001672: 12,3631           02674                                    UN                                    
052136,001673: 12,3632           63235                           VXV      PDVL                                  #  VXCH WITH 0D                  PL AT 0,6
052137,001674: 12,3633           00001                                    0D                                    
052138,001675: 12,3634           53361                           VXSC     VAD                                   #                                PL AT 0
052139,001676: 12,3635           00031                                    COSF                                  
052140,001677: 12,3636           41572                           VSL1     PUSH                                  #  0D=U2                         PL AT 6
052141,001678: 
052142,001679: 12,3637           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
052143,001680: 12,3640           02722                                    UR1                                   
052144,001681: 12,3641           25756                                    DP1/4                                 
052145,001682: 12,3642           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
052146,001683: 12,3643           25644                                    +1                                    #  CLEAR OVFIND IF SET
052147,001684: 12,3644           26732                           STOVL    CSTH                                  #  CSTH (+1)
052148,001685: 12,3645           02722                                    UR1                                   
052149,001686: 12,3646           76435                           VXV      VSL1                                  
052150,001687: 12,3647           72441                           DOT      SL1                                   
052151,001688: 12,3650           02674                                    UN                                    
052152,001689: 12,3651           16730                           STODL    SNTH                                  #  SNTH (+1)
052153,001690: 12,3652           02740                                    P                                     
052154,001691: 12,3653           77624                           CALL                                           
052155,001692: 12,3654           24767                                    GETX                                  
052156,001693: 12,3655           77614                           CLRGO                                          
052157,001694: 12,3656           02634                                    SOLNSW                                
052158,001695: 12,3657           24747                                    COMMNOUT                              
052159,001696: 
052160,001697: 12,3660           43001        CIRCULAR           SETPD    SETGO                                 
052161,001698: 12,3661           00001                                    0                                     
052162,001699: 12,3662           02434                                    SOLNSW                                
052163,001700: 12,3663           25742                                    ABTCONIC                              
052164,001701: 
052165,001702: 12,3664           75345        BADR2              DLOAD    SIGN                                  
052166,001703: 12,3665           24005                                    LODPHALF                              
052167,001704: 12,3666           00031                                    COSF                                  
052168,001705: 12,3667           14031                           STODL    COSF                                  
052169,001706: 12,3670           24007                                    KEPZERO                               
052170,001707: 12,3671           77614                           SETGO                                          
052171,001708: 12,3672           04032                                    APSESW                                
052172,001709: 12,3673           25630                                    TERMNVEC                              
052173,001710: 

Page 1200

052175,001712: 12,3674           40220        APSIDES            STQ      SETPD                                 #                                PL AT 0
052176,001713: 12,3675           02710                                    RTNAPSE                               
052177,001714: 12,3676           00001                                    0D                                    
052178,001715: 12,3677           77600                           BOV                                            
052179,001716: 12,3700           25701                                    +1                                    
052180,001717: 12,3701           63375                           VLOAD    PDVL                                  #                                PL AT 6
052181,001718: 12,3702           02655                                    RVEC                                  
052182,001719: 12,3703           02744                                    VVEC                                  
052183,001720: 12,3704           77624                           CALL                                           
052184,001721: 12,3705           11064                                    PARAM                                 
052185,001722: 12,3706           77600                           BOV                                            #                                PL AT 0
052186,001723: 12,3707           25710                                    GETECC                                
052187,001724: 12,3710           42405        GETECC             DMP      SL4                                   
052188,001725: 12,3711           02742                                    R1A                                   
052189,001726: 12,3712           75421                           BDSU     SQRT                                  
052190,001727: 12,3713           11035                                    D1/64                                 
052191,001728: 12,3714           02752                           STORE    ECC                                   
052192,001729: 12,3715           65215                           DAD      PDDL                                  #                                PL AT 2
052193,001730: 12,3716           11031                                    D1/8                                  
052194,001731: 12,3717           00041                                    R1                                    
052195,001732: 12,3720           72405                           DMP      SL1                                   
052196,001733: 12,3721           02740                                    P                                     
052197,001734: 12,3722           77671                           DDV                                            #                                PL AT 0
052198,001735: 12,3723           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)            PL AT 2
052199,001736: 12,3724           02742                                    R1A                                   
052200,001737: 12,3725           00047                                    X1                                    
052201,001738: 12,3726           53725                           PDDL     SL*                                   #                                PL AT 4
052202,001739: 12,3727           00041                                    R1                                    
052203,001740: 12,3730           20174                                    0          -5,1                       
052204,001741: 12,3731           45271                           DDV      DSU                                   #                                PL AT 2,0
052205,001742: 12,3732           50000                           BOV      BMN                                   
052206,001743: 12,3733           25737                                    INFINAPO                              
052207,001744: 12,3734           25737                                    INFINAPO                              
052208,001745: 12,3735           77650                           GOTO                                           
052209,001746: 12,3736           02710                                    RTNAPSE                               
052210,001747: 12,3737           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
052211,001748: 12,3740           24020                                    LDPOSMAX                              
052212,001749: 12,3741           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
052213,001750: 

Page 1201

052215,001752: 12,3742           77776        ABTCONIC           EXIT                                           
052216,001753: 12,3743           05652                           TC       POODOO                                
052217,001754: 12,3744           00607                           OCT      00607                                 
052218,001755: 

Page 1202

052220,001757: 12,3745  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
052221,001758: 
052222,001759:                                                                                                  #  ERASABLE ASSIGNMENTS
052223,001760: 
052224,001761:                                                                                                  #  KEPLER SUBROUTINE
052225,001762: 
052226,001763:                                                                                                  #        INPUT -
052227,001764:                                                                                                  #  RRECT         ERASE   +5
052228,001765:                                                                                                  #  VRECT         ERASE   +5
052229,001766:                                                                                                  #  TAU.          ERASE   +1

Handwritten "NEW" next to XKEP.

052231,001768:                                                                                                  #  XKEP          ERASE   +1
052232,001769:                                                                                                  #  TC            ERASE   +1
052233,001770:                                                                                                  #  XPREV         ERASE   +1
052234,001771: 12,3745                        1/MU               EQUALS   14D                                   
052235,001772: 12,3745                        ROOTMU             EQUALS   16D                                   
052236,001773: 12,3745                        1/ROOTMU           EQUALS   18D                                   
052237,001774: 
052238,001775:                                                                                                  #        OUTPUT -
052239,001776:                                                                                                  #  RCV           ERASE   +5
052240,001777:                                                                                                  #  VCV           ERASE   +5

The beginning of the next line is garbled, but I believe that it is RC with a hand-written correction to TC — RSB, 2016.

052242,001779:                                                                                                  #  RC            ERASE   +1
052243,001780:                                                                                                  #  XPREV         ERASE   +1
052244,001781: 
052245,001782:                                                                                                  #        DEBRIS -
052246,001783: 12,3745                        ALPHA              EQUALS   8D                                    
052247,001784: 12,3745                        XMAX               EQUALS   10D                                   
052248,001785: 12,3745                        XMIN               EQUALS   12D                                   
052249,001786: 12,3745                        X                  EQUALS   20D                                   
052250,001787: 12,3745                        XI                 EQUALS   24D                                   
052251,001788: 12,3745                        S(XI)              EQUALS   26D                                   
052252,001789: 12,3745                        XSQC(XI)           EQUALS   28D                                   
052253,001790: 12,3745                        T                  EQUALS   30D                                   
052254,001791: 12,3745                        R1                 EQUALS   32D                                   
052255,001792: 12,3745                        KEPC1              EQUALS   34D                                   
052256,001793: 12,3745                        KEPC2              EQUALS   36D                                   
052257,001794:                                                                                                  #  DELX          ERASE   +1
052258,001795:                                                                                                  #  DELT          ERASE   +1
052259,001796:                                                                                                  #  URRECT        ERASE   +5
052260,001797:                                                                                                  #  RCNORM        ERASE   +1
052261,001798:                                                                                                  #  XPREV         EQUALS  XKEP
052262,001799: 
052263,001800: 
052264,001801:                                                                                                  #  LAMBERT SUBROUTINE
052265,001802: 
052266,001803:                                                                                                  #        INPUT -
052267,001804:                                                                                                  #  R1VEC         ERASE   +5
052268,001805:                                                                                                  #  R2VEC         ERASE   +5
052269,001806:                                                                                                  #  TDESIRED      ERASE   +1
052270,001807:                                                                                                  #  GEOMSGN       ERASE   +0
052271,001808:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT

Page 1203

052273,001810:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
052274,001811:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
052275,001812:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
052276,001813:                                                                                                  #  VTARGTAG      ERASE   +0
052277,001814:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
052278,001815: 
052279,001816:                                                                                                  #        OUTPUT -
052280,001817:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
052281,001818:                                                                                                  #  V1VEC         EQUALS  MPAC
052282,001819: 
052283,001820:                                                                                                  #        DEBRIS -
052284,001821:                                                                                                  #  RTNLAMB       ERASE   +0
052285,001822:                                                                                                  #  U2            ERASE   +5
052286,001823:                                                                                                  #  MAGVEC2       ERASE   +1
052287,001824:                                                                                                  #  UR1           ERASE   +5

There is a hand-written 32D to the right of the next line.

052289,001826:                                                                                                  #  R1            EQUALS  31D
052290,001827:                                                                                                  #  UN            ERASE   +5
052291,001828:                                                                                                  #  SNTH          ERASE   +1
052292,001829:                                                                                                  #  CSTH          ERASE   +1
052293,001830:                                                                                                  #  1-CSTH        ERASE   +1
052294,001831:                                                                                                  #  CSTH-RHO      ERASE   +1
052295,001832: 12,3745                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
052296,001833: 12,3745                        COGAMIN            EQUALS   8D                                    
052297,001834: 12,3745                        DCOGA              EQUALS   12D                                   
052298,001835:                                                                                                  #  TWEEKIT       EQUALS  40D
052299,001836:                                                                                                  #  P             ERASE   +1
052300,001837:                                                                                                  #  COGA          ERASE   +1
052301,001838:                                                                                                  #  R1A           ERASE   +1
052302,001839:                                                                                                  #  X             EQUALS  20D
052303,001840:                                                                                                  #  XSQ           EQUALS  22D
052304,001841:                                                                                                  #  XI            EQUALS  24D
052305,001842:                                                                                                  #  S(XI)         EQUALS  26D
052306,001843:                                                                                                  #  XSQC(XI)      EQUALS  28D
052307,001844:                                                                                                  #  T             EQUALS  30D
052308,001845:                                                                                                  #  KEPC1         EQUALS  34D
052309,001846:                                                                                                  #  KEPC2         EQUALS  36D
052310,001847:                                                                                                  #  SLOPESW
052311,001848:                                                                                                  #  SOLNSW
052312,001849: 
052313,001850:                                                                                                  #        OTHERS -
052314,001851:                                                                                                  #  RVEC          EQUALS  R1VEC
052315,001852:                                                                                                  #  VVEC          ERASE   +5
052316,001853:                                                                                                  #  COGAFLAG
052317,001854:                                                                                                  #  RVSW
052318,001855:                                                                                                  #  INFINFLG
052319,001856:                                                                                                  #  APSESW
052320,001857:                                                                                                  #  360SW
052321,001858:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
052322,001859:                                                                                                  #  ECC           ERASE   +1
052323,001860:                                                                                                  #  RTNTR         EQUALS  RTNLAMB

Page 1204

052325,001862:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
052326,001863:                                                                                                  #  R2            EQUALS  MAGVEC2
052327,001864: 12,3745                        COSF               EQUALS   24D                                   
052328,001865:                                                                                                  #  RTNPRM        ERASE   +0
052329,001866:                                                                                                  #  SGNRDOT       ERASE   +0
052330,001867:                                                                                                  #  RDESIRED      ERASE   +1
052331,001868: 
052332,001869: 
052333,001870:                                                                                                  #  ITERATOR SUBROUTINE
052334,001871:                                                                                                  #  ORDERSW
052335,001872: 12,3745                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
052336,001873: 12,3745                        MIN                EQUALS   8D                                    

"E5,1765" is hand-written next to the following.

052338,001875:                                                                                                  #  INDEP         ERASE   +1
052339,001876: 12,3745                        DELINDEP           EQUALS   12D                                   
052340,001877: 12,3745                        ITERCTR            EQUALS   22D                                   
052341,001878: 12,3745                        DEP                EQUALS   30D                                   

"E5,1757" is hand-written next to the following.

052343,001880:                                                                                                  #  DELDEP        ERASE   +1

"E5,1761" is hand-written next to the following.

052345,001882:                                                                                                  #  DEPREV        ERASE   +1
052346,001883: 12,3745                        TWEEKIT            EQUALS   40D                                   
052347,001884: 
052348,001885: 
052349,001886:                                                                                                  #  MORE KEPLER
052350,001887:                                                                                                  #  EPSILONT      ERASE   +1
052351,001888: 
052352,001889: 
052353,001890:                                                                                                  #  MORE LAMBERT
052354,001891:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
052355,001892:                                                                                                  #  TPREV         EQUALS  DEPREV
052356,001893: 
052357,001894:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD

End of include-file CONIC_SUBROUTINES.agc.  Parent file is MAIN.agc