Source Code

These source-code files were from the printout at the MIT Museum, with many thanks to Deborah Douglas, the Museum's Curator of Science and Technology, for releasing it to us. The printout was digitally photographed by Paul Fjeld. A team of volunteers transcribed the source code manually from these images or, where appropriate, modified already-transcribed but similar source Luminary 131 (Apollo 13) source code to agree with the images from the printout. Note that the page images presented online are of reduced quality, and that higher-quality images are available. Report any conversion errors or legibility problems in page images to info@sandroid.org. Notations on the program listing read, in part:

	GAP:  ASSEMBLE REVISION 001 OF AGC PROGRAM LMY99 BY NASA 2021112-061
	20'35 OCT. 28,1968
Note that the date is the date of the printout, not the date of the program revision.

049522,000002:                                                                                                  ## Copyright:   Public domain.
049523,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
049524,000004:                                                                                                  ## Purpose:     Part of the source code for Luminary 1A build 099.
049525,000005:                                                                                                  ##              It is part of the source code for the Lunar Module's (LM)
049526,000006:                                                                                                  ##              Apollo Guidance Computer (AGC), for Apollo 11.
049527,000007:                                                                                                  ##
049528,000008:                                                                                                  ## Assembler:   yaYUL
049529,000009:                                                                                                  ## Contact:     Jim Lawton <jim DOT lawton AT gmail.com>
049530,000010:                                                                                                  ## Website:     www.ibiblio.org/apollo.
049531,000011:                                                                                                  ## Pages:       1159-1204
049532,000012:                                                                                                  ## Mod history: 2009-05-28 JL   Started updating from page images.
049533,000013:                                                                                                  ##              2009-06-02 JL   Finished updating from page images.
049534,000014:                                                                                                  ##              2010-12-31 JL   Fixed page number comments.
049535,000015:                                                                                                  ##              2016-12-17 RSB  Proofed text comments with octopus/ProoferComments
049536,000016:                                                                                                  ##                              and corrected the errors found.
049537,000017:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH and WHCIH -> WHICH.
049538,000018:                                                                                                  ##              2017-03-14 RSB  Comment-text fixes noted in proofing Luminary 116.
049539,000019:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
049540,000020:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
049541,000021:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
049542,000022:                                                                                                  ##                              Luminary 99 vs Comanche 55.
049543,000023: 
049544,000024:                                                                                                  ## This source code has been transcribed or otherwise adapted from digitized
049545,000025:                                                                                                  ## images of a hardcopy from the MIT Museum.  The digitization was performed
049546,000026:                                                                                                  ## by Paul Fjeld, and arranged for by Deborah Douglas of the Museum.  Many
049547,000027:                                                                                                  ## thanks to both.  The images (with suitable reduction in storage size and
049548,000028:                                                                                                  ## consequent reduction in image quality as well) are available online at
049549,000029:                                                                                                  ## www.ibiblio.org/apollo.  If for some reason you find that the images are
049550,000030:                                                                                                  ## illegible, contact me at info@sandroid.org about getting access to the
049551,000031:                                                                                                  ## (much) higher-quality images which Paul actually created.
049552,000032:                                                                                                  ##
049553,000033:                                                                                                  ## Notations on the hardcopy document read, in part:
049554,000034:                                                                                                  ##
049555,000035:                                                                                                  ##    Assemble revision 001 of AGC program LMY99 by NASA 2021112-061
049556,000036:                                                                                                  ##    16:27 JULY 14, 1969
049557,000037: 

Page 1159

049559,000039:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
049560,000040:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
049561,000041:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
049562,000042: 
049563,000043:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049564,000044:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
049565,000045:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
049566,000046:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
049567,000047:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
049568,000048:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
049569,000049:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
049570,000050:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
049571,000051:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
049572,000052:                                                                                                  #  TINES APPROPRIATELY.
049573,000053: 
049574,000054:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
049575,000055:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
049576,000056:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
049577,000057: 
049578,000058:                                                                                                  #  RESTRICTIONS -
049579,000059:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
049580,000060:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
049581,000061:                                                                                                  #  TORIES COULD BE HANDLED.
049582,000062: 
049583,000063:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
049584,000064:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
049585,000065:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
049586,000066: 

Page 1160

049588,000068:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
049589,000069:                                                                                                  #  MOD NO. -1                                                    LOG SECTION - CONIC SUBROUTINES
049590,000070:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
049591,000071:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
049592,000072:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON:  SUPPRESSION OF X-MODULO-ING
049593,000073:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON:  CLEAR OVFIND AT KEPLER ENTRY
049594,000074: 
049595,000075:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049596,000076:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
049597,000077:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
049598,000078:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
049599,000079:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
049600,000080:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
049601,000081:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
049602,000082: 
049603,000083:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
049604,000084:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
049605,000085: 
049606,000086:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
049607,000087:                                                                                                  #   MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
049608,000088: 
049609,000089:                                                                                                  #  THE RESTRICTIONS ARE -
049610,000090:                                                                                                  #        1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
049611,000091:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
049612,000092:                                                                                                  #           ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049613,000093: 
049614,000094:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
049615,000095:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
049616,000096:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
049617,000097: 
049618,000098:                                                                                                  #  REFERENCES -
049619,000099:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
049620,000100:                                                                                                  #        MEMO 67-4.
049621,000101: 
049622,000102:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049623,000103:                                                                                                  #                        * SCALE FACTOR  *
049624,000104:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *               DESCRIPTION AND REMARKS
049625,000105:                                                                                                  #        --------        *-------------- *               -----------------------
049626,000106:                                                                                                  #        RRECT           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049627,000107:                                                                                                  #                        * +27 FOR MOON  *

Page 1161

049629,000109:                                                                                                  #        VRECT           * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049630,000110:                                                                                                  #                        * +5 FOR MOON   * 
049631,000111:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049632,000112:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
049633,000113:                                                                                                  #        TAU.            * +28           *       DESIRED TRANSFER TIME IN CENTISECONDS (DP)
049634,000114:                                                                                                  #                        *               *               MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
049635,000115:                                                                                                  #        XKEPNEW         * +17 FOR EARTH *       DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
049636,000116:                                                                                                  #                        * +16 FOR MOON  *               AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
049637,000117:                                                                                                  #                        *               *               MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
049638,000118:                                                                                                  #                        *               *               BY KEPLER TO A POOR BUT VALID GUESS.
049639,000119:                                                                                                  #        TC              * +28           *       DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
049640,000120:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
049641,000121:                                                                                                  #                        * +16 FOR MOON  *               ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
049642,000122: 
049643,000123:                                                                                                  #  SUBROUTINES CALLED -
049644,000124:                                                                                                  #        DELTIME
049645,000125: 
049646,000126:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049647,000127:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049648,000128:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
049649,000129:                                                                                                  #        KEPRTN          ...                     CONTINUE
049650,000130: 
049651,000131:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
049652,000132:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
049653,000133:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
049654,000134: 
049655,000135:                                                                                                  #  ABORT EXIT MODES -
049656,000136:                                                                                                  #        NONE
049657,000137: 
049658,000138:                                                                                                  #  OUTPUT -
049659,000139:                                                                                                  #                        * SCALE FACTOR  *
049660,000140:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049661,000141:                                                                                                  #        --------        *-------------- *       -----------------------
049662,000142:                                                                                                  #        RCV             * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS
049663,000143:                                                                                                  #                        * +27 FOR MOON  *
049664,000144:                                                                                                  #        VCV             * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
049665,000145:                                                                                                  #                        * +5 FOR MOON   *
049666,000146:                                                                                                  #        TC              * +28           *       DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
049667,000147:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
049668,000148:                                                                                                  #                        * +16 FOR MOON  *               CORRESPONDING TO ONE PERIOD.

Page 1162

049670,000150:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049671,000151: 
049672,000152:                                                                                                  #  DEBRIS -
049673,000153:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049674,000154:                                                                                                  #                        * SCALE FACTOR  *
049675,000155:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049676,000156:                                                                                                  #        --------        *-------------- *       -----------------------
049677,000157:                                                                                                  #        URRECT          * +1            *       DP UNIT VECTOR OF INITIAL POSITION
049678,000158:                                                                                                  #        R1              * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION IN METERS
049679,000159:                                                                                                  #                        * +27 FOR MOON  *
049680,000160:                                                                                                  #        ALPHA           * -22 FOR EARTH *       DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
049681,000161:                                                                                                  #                        * -20 FOR MOON  *
049682,000162:                                                                                                  #        TMODULO         * +28           *       DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
049683,000163:                                                                                                  #                        *               *       TAU. OF LESS THAN ONE PERIOD.
049684,000164: 
049685,000165:                                                                                                  #  PARAMETERS OF NO USE -
049686,000166:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
049687,000167: 

Page 1163

049689,000169: 
049690,000170:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
049691,000171:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
049692,000172:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
049693,000173: 
049694,000174:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049695,000175:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
049696,000176:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
049697,000177:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
049698,000178:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
049699,000179:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
049700,000180:                                                                                                  #  UTILIZED IN THE COMPUTATION.
049701,000181: 
049702,000182:                                                                                                  #  THE RESTRICTIONS ARE -
049703,000183:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
049704,000184:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
049705,000185:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049706,000186:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049707,000187:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
049708,000188:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
049709,000189:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049710,000190: 
049711,000191:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
049712,000192:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                 THE AGC COMPUTATION TIME IS APPROXIMATE-
049713,000193:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
049714,000194: 
049715,000195:                                                                                                  #  REFERENCES -
049716,000196:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
049717,000197:                                                                                                  #        SGA MEMO 67-4.
049718,000198: 
049719,000199:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049720,000200:                                                                                                  #  
049721,000201:                                                                                                  #                        * SCALE FACTOR  *
049722,000202:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049723,000203:                                                                                                  #        --------        *-------------- *       -----------------------
049724,000204:                                                                                                  #        R1VEC           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049725,000205:                                                                                                  #                        * +27 FOR MOON  *
049726,000206:                                                                                                  #        R2VEC           * +29 FOR EARTH *       DP TARGET OR TERMINAL POSITION VECTOR IN METERS
049727,000207:                                                                                                  #                        * +27 FOR MOON  *
049728,000208:                                                                                                  #        TDESIRED        * +28           *       DP DESIRED TRANSFER TIME IN CENTISECONDS
049729,000209:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049730,000210:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
049731,000211:                                                                                                  #        GEOMSGN         * NONE          *       SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
049732,000212:                                                                                                  #        GUESSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1164

049734,000214:                                                                                                  #                        *               *               COGA IS TO BE USED BY LAMBERT
049735,000215:                                                                                                  #        COGA            * +5            *       DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
049736,000216:                                                                                                  #                                        *       IGNORED IF GUESSW IS SET.
049737,000217:                                                                                                  #        NORMSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
049738,000218:                                                                                                  #                        *               *               LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
049739,000219:                                                                                                  #        UN              * +1            *       DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
049740,000220:                                                                                                  #                        *               *               MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
049741,000221:                                                                                                  #        VTARGTAG        * NONE          *       A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
049742,000222:                                                                                                  #                        *               *               AT R1VEC.
049743,000223:                                                                                                  #        ITERCTR         * NONE          *       A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
049744,000224:                                                                                                  #                        *               *               (AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
049745,000225:                                                                                                  #                        *               *               ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
049746,000226:                                                                                                  #                        *               *               TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
049747,000227: 
049748,000228:                                                                                                  #  SUBROUTINES CALLED -
049749,000229:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
049750,000230: 
049751,000231:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049752,000232:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049753,000233:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
049754,000234:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
049755,000235:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
049756,000236:                                                                                                  #        L+3             SOLNSW
049757,000237:                                                                                                  #        L+4             LAMABORT
049758,000238: 
049759,000239:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
049760,000240:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
049761,000241: 
049762,000242:                                                                                                  #  ABORT EXIT MODES -
049763,000243:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
049764,000244:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
049765,000245:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
049766,000246:                                                                                                  #  LAMABORT      DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
049767,000247:                                                                                                  #                        1-CSTH          360 DEGREES.
049768,000248:                                                                                                  #                DSU     BMN
049769,000249:                                                                                                  #                        ONEBIT
049770,000250:                                                                                                  #                        CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
049771,000251:                                                                                                  #                DLOAD   DAD
049772,000252:                                                                                                  #                        TDESIRED
049773,000253:                                                                                                  #                        SOMETIME
049774,000254:                                                                                                  #                STCALL  TDESIRED        INCREASE TDESIRED
049775,000255:                                                                                                  #                        LAMBERT
049776,000256: 

Page 1165

049778,000258:                                                                                                  #  OUTPUT -
049779,000259:                                                                                                  #                        * SCALE FACTOR  *
049780,000260:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049781,000261:                                                                                                  #        --------        *-------------- *       -----------------------
049782,000262:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
049783,000263:                                                                                                  #                        * +5 FOR MOON   *               PROBLEM.
049784,000264:                                                                                                  #        VTARGET         * +7 FOR EARTH  *       DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
049785,000265:                                                                                                  #                        * +5 FOR MOON   *
049786,000266:                                                                                                  #        SOLNSW          * NONE          *       INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
049787,000267:                                                                                                  #                        *               *               SOLUTION EXISTS.
049788,000268: 
049789,000269:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049790,000270: 
049791,000271:                                                                                                  #  DEBRIS -
049792,000272:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049793,000273: 
049794,000274:                                                                                                  #                        * SCALE FACTOR  *
049795,000275:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049796,000276:                                                                                                  #        --------        *-------------- *       -----------------------
049797,000277:                                                                                                  #        SNTH            * +1            *       DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
049798,000278:                                                                                                  #        CSTH            * +1            *       DP COSINE OF ANGLE
049799,000279:                                                                                                  #        1-CSTH          * +2            *       DP 1-CSTH
049800,000280:                                                                                                  #        COGA            * +5            *       DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
049801,000281:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
049802,000282:                                                                                                  #        R1A             * +6            *       DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
049803,000283:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP INITIAL RADIUS IN METERS
049804,000284:                                                                                                  #                        * +27 FOR MOON  *
049805,000285:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF R1VEC
049806,000286:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF R2VEC
049807,000287: 
049808,000288:                                                                                                  #        PARAMETERS OF NO USE
049809,000289:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
049810,000290:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
049811,000291: 

Page 1166

049813,000293:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
049814,000294:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
049815,000295:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
049816,000296: 
049817,000297:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049818,000298:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
049819,000299:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049820,000300:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049821,000301:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049822,000302:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049823,000303:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049824,000304: 
049825,000305:                                                                                                  #  THE RESTRICTIONS ARE -
049826,000306:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049827,000307:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049828,000308:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049829,000309:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049830,000310: 
049831,000311:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
049832,000312: 
049833,000313:                                                                                                  #  REFERENCES -
049834,000314:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049835,000315: 
049836,000316:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049837,000317:                                                                                                  #                        * SCALE FACTOR  *
049838,000318:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049839,000319:                                                                                                  #        --------        *-------------- *       -----------------------
049840,000320:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049841,000321:                                                                                                  #                        * +27 FOR MOON  *
049842,000322:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049843,000323:                                                                                                  #                        * +5 FOR MOON   *
049844,000324:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
049845,000325:                                                                                                  #        CSTH            * +1            *       DP COSINE OF THE ANGLE
049846,000326:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049847,000327:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
049848,000328:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049849,000329:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
049850,000330: 
049851,000331:                                                                                                  #  SUBROUTINES CALLED -

Page 1167

049853,000333:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
049854,000334: 
049855,000335:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049856,000336:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049857,000337:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049858,000338:                                                                                                  #        L+1             RVSW
049859,000339:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
049860,000340:                                                                                                  #        L+3     ...                     CONTINUE
049861,000341: 
049862,000342:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049863,000343:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049864,000344:                                                                                                  #        L+1             RVSW
049865,000345:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049866,000346:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
049867,000347:                                                                                                  #        L+3     STOVL   NEWVVEC
049868,000348:                                                                                                  #        L+4     STADR
049869,000349:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049870,000350:                                                                                                  #        L+6     ...                     CONTINUE
049871,000351: 
049872,000352:                                                                                                  #  ABORT EXIT MODES -
049873,000353:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
049874,000354:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
049875,000355: 
049876,000356:                                                                                                  #  OUTPUT -
049877,000357:                                                                                                  #                        * SCALE FACTOR  *
049878,000358:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049879,000359:                                                                                                  #        --------        *-------------- *       -----------------------
049880,000360:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
049881,000361:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
049882,000362:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049883,000363:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049884,000364:                                                                                                  #                        *               *               CLEAR IF NOT.
049885,000365: 
049886,000366:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
049887,000367:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049888,000368:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
049889,000369:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049890,000370:                                                                                                  #                        * +27 FOR MOON  *
049891,000371: 
049892,000372:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049893,000373: 

Page 1168

049895,000375:                                                                                                  #  DEBRIS -
049896,000376:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049897,000377:                                                                                                  #  
049898,000378:                                                                                                  #                        * SCALE FACTOR  *
049899,000379:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049900,000380:                                                                                                  #        --------        *-------------- *       -----------------------
049901,000381:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049902,000382:                                                                                                  #                        * +27 FOR MOON  *
049903,000383:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049904,000384:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
049905,000385:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049906,000386:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
049907,000387:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
049908,000388:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
049909,000389: 
049910,000390:                                                                                                  #        PARAMETERS OF NO USE -
049911,000391:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049912,000392:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049913,000393: 

Page 1169

049915,000395:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
049916,000396:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
049917,000397:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
049918,000398: 
049919,000399:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049920,000400: 
049921,000401:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
049922,000402:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049923,000403:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049924,000404:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049925,000405:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049926,000406:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049927,000407: 
049928,000408:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
049929,000409:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
049930,000410: 
049931,000411:                                                                                                  #  THE RESTRICTIONS ARE -
049932,000412:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049933,000413:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049934,000414:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049935,000415:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049936,000416:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
049937,000417:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
049938,000418:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
049939,000419: 
049940,000420:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
049941,000421: 
049942,000422:                                                                                                  #  REFERENCES -
049943,000423:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049944,000424: 
049945,000425:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049946,000426:                                                                                                  #                        * SCALE FACTOR  *
049947,000427:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049948,000428:                                                                                                  #        --------        *-------------- *       -----------------------
049949,000429:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049950,000430:                                                                                                  #                        * +27 FOR MOON  *
049951,000431:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049952,000432:                                                                                                  #                        * +5 FOR MOON   *
049953,000433:                                                                                                  #        RDESIRED        * +29 FOR EARTH *       DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
049954,000434:                                                                                                  #                        * +27 FOR MOON  *               COMPUTED.
049955,000435:                                                                                                  #        SGNRDOT         * NONE          *       SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
049956,000436:                                                                                                  #                        *               *               POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1170

049958,000438:                                                                                                  #                        *               *               SINGLE-VALUED PROBLEM.
049959,000439:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049960,000440:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
049961,000441:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049962,000442:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
049963,000443: 
049964,000444:                                                                                                  #  SUBROUTINES CALLED -
049965,000445:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
049966,000446: 
049967,000447:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049968,000448: 
049969,000449:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049970,000450:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049971,000451:                                                                                                  #        L+1             RVSW
049972,000452:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
049973,000453:                                                                                                  #        L+3     ...                     CONTINUE
049974,000454: 
049975,000455:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049976,000456:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049977,000457:                                                                                                  #        L+1             RVSW
049978,000458:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049979,000459:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
049980,000460:                                                                                                  #        L+3     STOVL   NEWVVEC
049981,000461:                                                                                                  #        L+4     STADR
049982,000462:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049983,000463:                                                                                                  #        L+6     ...                     CONTINUE
049984,000464: 
049985,000465:                                                                                                  #  ABORT EXIT MODES -
049986,000466:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
049987,000467:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
049988,000468: 
049989,000469:                                                                                                  #  OUTPUT -
049990,000470:                                                                                                  #                        * SCALE FACTOR  *
049991,000471:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049992,000472:                                                                                                  #        --------        *-------------- *       -----------------------
049993,000473:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
049994,000474:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
049995,000475:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049996,000476:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049997,000477:                                                                                                  #                        *               *               CLEAR IF NOT.
049998,000478:                                                                                                  #        APSESW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1171

050000,000480:                                                                                                  #                        *               *               LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
050001,000481:                                                                                                  #                        *               *               WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
050002,000482:                                                                                                  #                        *               *               APOCENTER.
050003,000483:                                                                                                  #        SOLNSW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
050004,000484:                                                                                                  #                                        *               POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
050005,000485:                                                                                                  #                                        *               MINUS-18, THE SWITCH IS CLEAR.
050006,000486: 
050007,000487:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
050008,000488: 
050009,000489:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
050010,000490:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
050011,000491:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
050012,000492:                                                                                                  #                        * +27 FOR MOON  *
050013,000493: 
050014,000494:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050015,000495: 
050016,000496:                                                                                                  #  DEBRIS -
050017,000497:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
050018,000498: 
050019,000499:                                                                                                  #                        * SCALE FACTOR  *
050020,000500:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050021,000501:                                                                                                  #        --------        *-------------- *       -----------------------
050022,000502:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050023,000503:                                                                                                  #                        * +27 FOR MOON  *
050024,000504:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050025,000505:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
050026,000506:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050027,000507:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
050028,000508:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
050029,000509:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
050030,000510:                                                                                                  #        CSTH            * +1            *       DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
050031,000511:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE ANOMALY DIFFERENCE.
050032,000512: 
050033,000513:                                                                                                  #        PARAMETERS OF NO USE -
050034,000514:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
050035,000515:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
050036,000516: 
050037,000517: 

Page 1172

050039,000519:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
050040,000520:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
050041,000521:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
050042,000522: 
050043,000523:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050044,000524: 
050045,000525:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
050046,000526:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
050047,000527:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
050048,000528:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
050049,000529:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
050050,000530: 
050051,000531:                                                                                                  #  THE RESTRICTIONS ARE -
050052,000532:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
050053,000533:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
050054,000534:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
050055,000535:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050056,000536: 
050057,000537:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
050058,000538: 
050059,000539:                                                                                                  #  REFERENCES -
050060,000540:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
050061,000541: 
050062,000542:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050063,000543:                                                                                                  #                        * SCALE FACTOR  *
050064,000544:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050065,000545:                                                                                                  #        --------        *-------------- *       -----------------------
050066,000546:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
050067,000547:                                                                                                  #                        * +27 FOR MOON  *
050068,000548:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050069,000549:                                                                                                  #                        * +5 FOR MOON   *
050070,000550:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050071,000551:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
050072,000552: 
050073,000553:                                                                                                  #  SUBROUTINES CALLED -
050074,000554:                                                                                                  #        PARAM, GEOM
050075,000555: 
050076,000556:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1173

050078,000558:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
050079,000559:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050080,000560:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
050081,000561:                                                                                                  #        L+2     STODL   APOAPSE
050082,000562:                                                                                                  #        L+3             0D
050083,000563:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
050084,000564:                                                                                                  #        L+5     ...                     CONTINUE
050085,000565: 
050086,000566:                                                                                                  #  OUTPUT -
050087,000567:                                                                                                  #                        * SCALE FACTOR  *
050088,000568:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050089,000569:                                                                                                  #        --------        *-------------- *       -----------------------
050090,000570:                                                                                                  #        MPAC            * +29 FOR EARTH *       DP RADIUS OF APOCENTER IN METERS
050091,000571:                                                                                                  #                        * +27 FOR MOON  *
050092,000572:                                                                                                  #        0D-1D           * +29 FOR EARTH *       DP RADIUS OF PERICENTER IN METERS
050093,000573:                                                                                                  #                        * +27 FOR MOON  *
050094,000574:                                                                                                  #        ECC             * +3            *       DP ECCENTRICITY OF CONIC TRAJECTORY.
050095,000575: 
050096,000576:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050097,000577: 
050098,000578:                                                                                                  #  DEBRIS -
050099,000579: 
050100,000580:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
050101,000581: 
050102,000582:                                                                                                  #                        * SCALE FACTOR  *
050103,000583:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050104,000584:                                                                                                  #        --------        *-------------- *       -----------------------
050105,000585:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050106,000586:                                                                                                  #                        * +27 FOR MOON  *
050107,000587:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050108,000588:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
050109,000589:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050110,000590:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
050111,000591:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
050112,000592:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
050113,000593:                                                                                                  #        MAGVEC2         * +7 FOR EARTH  *       DP MAGNITUDE OF VVEC
050114,000594:                                                                                                  #                        * +5 FOR MOON   *
050115,000595: 
050116,000596:                                                                                                  #        PARAMETERS OF NO USE -
050117,000597:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
050118,000598:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
050119,000599: 
050120,000600: 12,2000                                           SETLOC   CONICS                                

Page 1174

050122,000602: 12,2000                                           BANK                                           
050123,000603: 
050124,000604: 12,2023                                           COUNT*   $$/CONIC                              
050125,000605: 12,2023  E5,1721                                  EBANK=   UR1                                   
050126,000606: 12,2023           40001        KEPLERN            SETPD    BOV                                   
050127,000607: 12,2024           00001                                    0                                     
050128,000608: 12,2025           24026                                    +1                                    
050129,000609: 12,2026           77773                           VLOAD*                                         
050130,000610: 12,2027           10005                                    MUTABLE,1                             
050131,000611: 12,2030           24017                           STOVL    14D                                   
050132,000612: 12,2031           01503                                    RRECT                                 
050133,000613: 12,2032           66256                           UNIT     SSP                                   
050134,000614: 12,2033           00027                                    ITERCTR                               
050135,000615: 12,2034           00024                                    20D                                   
050136,000616: 12,2035           16647                           STODL    URRECT                                
050137,000617: 12,2036           00045                                    36D                                   
050138,000618: 12,2037           24041                           STOVL    R1                                    
050139,000619: 12,2040           01503                                    RRECT                                 
050140,000620: 12,2041           76441                           DOT      SL1R                                  
050141,000621: 12,2042           01511                                    VRECT                                 
050142,000622: 12,2043           76405                           DMP      SL1R                                  
050143,000623: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
050144,000624: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
050145,000625: 12,2046           01511                                    VRECT                                 
050146,000626: 12,2047           57236                           VSQ      DMPR                                  
050147,000627: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
050148,000628: 12,2051           52405                           DMP      SL3                                   
050149,000629: 12,2052           00041                                    R1                                    
050150,000630: 12,2053           61425                           DSU      ROUND                                 
050151,000631: 12,2054           11035                                    D1/64                                 
050152,000632: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
050153,000633: 
050154,000634: 12,2056           74421                           BDSU     SR1R                                  
050155,000635: 12,2057           11035                                    D1/64                                 
050156,000636: 12,2060           77671                           DDV                                            
050157,000637: 12,2061           00041                                    R1                                    
050158,000638: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
050159,000639: 
050160,000640: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
050161,000641: 12,2064           24073                                    1REV                                  
050162,000642: 12,2065           11053                                    -50SC                                 #  -50SC (+12)
050163,000643: 12,2066           40071                           DDV      BOV                                   
050164,000644: 12,2067           00011                                    ALPHA                                 
050165,000645: 12,2070           24077                                    STOREMAX                              
050166,000646: 12,2071           52166                           SQRT     GOTO                                  
050167,000647: 12,2072           24077                                    STOREMAX                              
050168,000648: 
050169,000649: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1175

050171,000651: 12,2074           11055                                    2PISC                                 #  2PISC (+6)
050172,000652: 12,2075           77600                           BOV                                            
050173,000653: 12,2076           24077                                    STOREMAX                              
050174,000654: 12,2077           00013        STOREMAX           STORE    XMAX                                  
050175,000655: 12,2100           65205                           DMP      PDDL                                  
050176,000656: 12,2101           00023                                    1/ROOTMU                              
050177,000657: 12,2102           00011                                    ALPHA                                 
050178,000658: 12,2103           65301                           NORM     PDDL                                  
050179,000659: 12,2104           00047                                    X1                                    
050180,000660: 12,2105           56257                           SL*      DDV                                   
050181,000661: 12,2106           20173                                    0          -6,1                       
050182,000662: 12,2107           50000                           BOV      BMN                                   
050183,000663: 12,2110           24124                                    MODDONE                               
050184,000664: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
050185,000665: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
050186,000666: 12,2113           02074                                    TAU.                                  
050187,000667: 12,2114           50025                           DSU      BMN                                   
050188,000668: 12,2115           00001                                    0D                                    
050189,000669: 12,2116           24124                                    MODDONE                               
050190,000670: 12,2117           77765                           SIGN                                           
050191,000671: 12,2120           02074                                    TAU.                                  
050192,000672: 12,2121           16074                           STODL    TAU.                                  
050193,000673: 12,2122           77650                           GOTO                                           
050194,000674: 12,2123           24112                                    PERIODCH                              
050195,000675: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
050196,000676: 12,2125           00001                                    0                                     
050197,000677: 12,2126           02130                                    XKEPNEW                               
050198,000678: 12,2127           00025                           STORE    X                                     
050199,000679: 12,2130           53165                           SIGN     BZE                                   
050200,000680: 12,2131           02074                                    TAU.                                  
050201,000681: 12,2132           24302                                    BADX                                  
050202,000682: 12,2133           51440                           BMN      ABS                                   
050203,000683: 12,2134           24302                                    BADX                                  
050204,000684: 12,2135           51025                           DSU      BPL                                   
050205,000685: 12,2136           00013                                    XMAX                                  
050206,000686: 12,2137           24302                                    BADX                                  
050207,000687: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
050208,000688: 12,2141           02074                                    TAU.                                  
050209,000689: 12,2142           24152                                    STOREMIN                              
050210,000690: 12,2143           57545                           DLOAD    DCOMP                                 
050211,000691: 12,2144           00013                                    XMAX                                  
050212,000692: 12,2145           14015                           STODL    XMIN                                  
050213,000693: 12,2146           24007                                    KEPZERO                               
050214,000694: 12,2147           00013                           STORE    XMAX                                  
050215,000695: 12,2150           77650                           GOTO                                           
050216,000696: 12,2151           24155                                    DXCOMP                                
050217,000697: 12,2152           77745        STOREMIN           DLOAD                                          
050218,000698: 12,2153           24007                                    KEPZERO                               
050219,000699: 12,2154           00015                           STORE    XMIN                                  
050220,000700: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1176

050222,000702: 12,2156           02074                                    TAU.                                  
050223,000703: 12,2157           11046                                    BEE22                                 
050224,000704: 12,2160           77646                           ABS                                            
050225,000705: 12,2161           16177                           STODL    EPSILONT                              
050226,000706: 12,2162           01553                                    XPREV                                 
050227,000707: 12,2163           77621        XDIFF              BDSU                                           
050228,000708: 12,2164           00025                                    X                                     
050229,000709: 12,2165           02643                           STORE    DELX                                  
050230,000710: 
050231,000711: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
050232,000712: 12,2167           00025                                    X                                     #  X=XKEP
050233,000713: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
050234,000714: 12,2171           00047                                    X1                                    
050235,000715: 12,2172           53605                           DMP      SRR*                                  
050236,000716: 12,2173           00011                                    ALPHA                                 
050237,000717: 12,2174           21573                                    0          -6,1                       
050238,000718: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
050239,000719: 12,2176           24421                                    DELTIME                               
050240,000720: 12,2177           44200                           BOV      BDSU                                  
050241,000721: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
050242,000722: 12,2201           02074                                    TAU.                                  
050243,000723: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
050244,000724: 12,2203           44246                           ABS      BDSU                                  
050245,000725: 12,2204           02177                                    EPSILONT                              
050246,000726: 12,2205           71244                           BPL      DLOAD                                 
050247,000727: 12,2206           24333                                    KEPCONVG                              
050248,000728: 12,2207           00037                                    T                                     
050249,000729: 12,2210           60225                           DSU      NORM                                  
050250,000730: 12,2211           01551                                    TC                                    
050251,000731: 12,2212           00047                                    X1                                    
050252,000732: 12,2213           60325                           PDDL     NORM                                  
050253,000733: 12,2214           02643                                    DELX                                  
050254,000734: 12,2215           00050                                    X2                                    
050255,000735: 12,2216           41260                           XSU,1    DMP                                   
050256,000736: 12,2217           00047                                    X2                                    
050257,000737: 12,2220           02645                                    DELT                                  
050258,000738: 12,2221           56257                           SLR*     DDV                                   
050259,000739: 12,2222           21202                                    1,1                                   
050260,000740: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
050261,000741: 12,2224           71244                           BPL      DLOAD                                 
050262,000742: 12,2225           24246                                    POSDELX                               
050263,000743: 12,2226           00025                                    X                                     
050264,000744: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
050265,000745: 12,2230           45221                           BDSU     DSU                                   #                        PL AT 0
050266,000746: 12,2231           00015                                    XMIN                                  
050267,000747: 12,2232           51000                           BOV      BPL                                   
050268,000748: 12,2233           24240                                    NDXCHNGE                              
050269,000749: 12,2234           24240                                    NDXCHNGE                              
050270,000750: 12,2235           52145                           DLOAD    GOTO                                  

Page 1177

050272,000752: 12,2236           00001                                    0D                                    
050273,000753: 12,2237           24260                                    NEWDELX                               
050274,000754: 
050275,000755: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
050276,000756: 12,2241           00015                                    XMIN                                  
050277,000757: 12,2242           00025                                    X                                     
050278,000758: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
050279,000759: 12,2244           11051                                    DP9/10                                
050280,000760: 12,2245           24260                                    NEWDELX                               
050281,000761: 
050282,000762: 12,2246           77745        POSDELX            DLOAD                                          
050283,000763: 12,2247           00025                                    X                                     
050284,000764: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
050285,000765: 12,2251           45221                           BDSU     DSU                                   #                        PL AT 0
050286,000766: 12,2252           00013                                    XMAX                                  
050287,000767: 12,2253           50000                           BOV      BMN                                   
050288,000768: 12,2254           24274                                    PDXCHNGE                              
050289,000769: 12,2255           24274                                    PDXCHNGE                              
050290,000770: 12,2256           77745                           DLOAD                                          
050291,000771: 12,2257           00001                                    0D                                    
050292,000772: 12,2260           02643        NEWDELX            STORE    DELX                                  
050293,000773: 12,2261           43254                           BZE      DAD                                   
050294,000774: 12,2262           24333                                    KEPCONVG                              
050295,000775: 12,2263           00025                                    X                                     
050296,000776: 12,2264           14025                           STODL    X                                     
050297,000777: 12,2265           00037                                    T                                     
050298,000778: 12,2266           01551                           STORE    TC                                    
050299,000779: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
050300,000780: 12,2270           24644                                    CHECKCTR                              
050301,000781: 12,2271           24333                                    KEPCONVG                              
050302,000782: 12,2272           77650                           GOTO                                           
050303,000783: 12,2273           24166                                    KEPLOOP                               #  ITERATE
050304,000784: 
050305,000785: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
050306,000786: 12,2275           00013                                    XMAX                                  
050307,000787: 12,2276           00025                                    X                                     
050308,000788: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
050309,000789: 12,2300           11051                                    DP9/10                                
050310,000790: 12,2301           24260                                    NEWDELX                               
050311,000791: 
050312,000792: 12,2302           70545        BADX               DLOAD    SR1                                   
050313,000793: 12,2303           00013                                    XMAX                                  
050314,000794: 12,2304           77765                           SIGN                                           
050315,000795: 12,2305           02074                                    TAU.                                  
050316,000796: 12,2306           00025                           STORE    X                                     
050317,000797: 12,2307           77650                           GOTO                                           

Page 1178

050319,000799: 12,2310           24140                                    STORBNDS                              
050320,000800: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
050321,000801: 12,2312           00025                                    X                                     
050322,000802: 12,2313           24330                                    NEGTOVFL                              
050323,000803: 12,2314           00013                           STORE    XMAX                                  
050324,000804: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
050325,000805: 12,2316           02643                                    DELX                                  
050326,000806: 12,2317           02643                           STORE    DELX                                  
050327,000807: 12,2320           44254                           BZE      BDSU                                  
050328,000808: 12,2321           02112                                    KEPRTN                                
050329,000809: 12,2322           00025                                    X                                     
050330,000810: 12,2323           14025                           STODL    X                                     
050331,000811: 12,2324           01551                                    TC                                    
050332,000812: 12,2325           00037                           STORE    T                                     
050333,000813: 12,2326           77650                           GOTO                                           
050334,000814: 12,2327           24267                                    BRNCHCTR                              
050335,000815: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
050336,000816: 12,2331           77650                           GOTO                                           
050337,000817: 12,2332           24315                                    CMNTOVFL                              
050338,000818: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
050339,000819: 12,2334           00041                                    R1                                    
050340,000820: 12,2335           74225                           DSU      VXSC                                  
050341,000821: 12,2336           00035                                    XSQC(XI)                              
050342,000822: 12,2337           02647                                    URRECT                                
050343,000823: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
050344,000824: 12,2341           00025                                    X                                     
050345,000825: 12,2342           60316                           DSQ      NORM                                  
050346,000826: 12,2343           00047                                    X1                                    
050347,000827: 12,2344           57275                           DMPR     DMPR                                  
050348,000828: 12,2345           00023                                    1/ROOTMU                              
050349,000829: 12,2346           00025                                    X                                     
050350,000830: 12,2347           53605                           DMP      SRR*                                  
050351,000831: 12,2350           00033                                    S(XI)                                 
050352,000832: 12,2351           21572                                    0          -7,1                       
050353,000833: 12,2352           77621                           BDSU                                           
050354,000834: 12,2353           00037                                    T                                     
050355,000835: 12,2354           74352                           SL1      VXSC                                  
050356,000836: 12,2355           01511                                    VRECT                                 
050357,000837: 12,2356           53372                           VSL1     VAD                                   #                                PL AT 0
050358,000838: 12,2357           77712                           VSL4                                           
050359,000839: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
050360,000840: 
050361,000841: 12,2361           60246                           ABVAL    NORM                                  
050362,000842: 12,2362           00050                                    X2                                    
050363,000843: 12,2363           14043                           STODL    RCNORM                                
050364,000844: 12,2364           00031                                    XI                                    
050365,000845: 12,2365           45275                           DMPR     DSU                                   
050366,000846: 12,2366           00033                                    S(XI)                                 
050367,000847: 12,2367           11033                                    D1/128                                

Page 1179

050369,000849: 12,2370           76405                           DMP      SL1R                                  
050370,000850: 12,2371           00021                                    ROOTMU                                
050371,000851: 12,2372           53605                           DMP      SLR*                                  
050372,000852: 12,2373           00025                                    X                                     
050373,000853: 12,2374           56601                                    0          -3,2                       
050374,000854: 12,2375           74271                           DDV      VXSC                                  
050375,000855: 12,2376           00043                                    RCNORM                                
050376,000856: 12,2377           02647                                    URRECT                                
050377,000857: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
050378,000858: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
050379,000859: 12,2402           56257                           SLR*     DDV                                   
050380,000860: 12,2403           56602                                    0          -4,2                       
050381,000861: 12,2404           00043                                    RCNORM                                
050382,000862: 12,2405           74221                           BDSU     VXSC                                  
050383,000863: 12,2406           11047                                    D1/256                                
050384,000864: 12,2407           01511                                    VRECT                                 
050385,000865: 12,2410           42455                           VAD      VSL8                                  
050386,000866: 12,2411           77626                           STADR                                          #                                PL AT 0
050387,000867: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
050388,000868: 12,2413           00037                                    T                                     
050389,000869: 12,2414           15551                           STODL    TC                                    
050390,000870: 12,2415           00025                                    X                                     
050391,000871: 12,2416           01553                           STORE    XPREV                                 
050392,000872: 12,2417           77650                           GOTO                                           
050393,000873: 12,2420           02112                                    KEPRTN                                
050394,000874: 

Page 1180

050396,000876: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
050397,000877: 12,2422           07222                           TC       POLY                                  
050398,000878: 12,2423           00010                           DEC      8          B-14                       
050399,000879: 12,2424           02525 12526                     2DEC     .083333334                            
050400,000880: 12,2426           67356 75666                     2DEC     -.266666684                            
050401,000881: 12,2430           15001 23771                     2DEC     .406349155                            
050402,000882: 12,2432           64342 43674                     2DEC     -.361198675                            
050403,000883: 12,2434           06563 04645                     2DEC     .210153242                            
050404,000884: 12,2436           75173 52672                     2DEC     -.086221951                            
050405,000885: 12,2440           00656 14331                     2DEC     .026268812                            
050406,000886: 12,2442           77633 40512                     2DEC     -.006163316                            
050407,000887: 12,2444           00023 11210                     2DEC     .001177342                            
050408,000888: 12,2446           77774 67506                     2DEC     -.000199055                            
050409,000889: 
050410,000890: 12,2450           06037                           TC       INTPRET                               
050411,000891: 12,2451           14033                           STODL    S(XI)                                 
050412,000892: 12,2452           00031                                    XI                                    
050413,000893: 12,2453           77776                           EXIT                                           
050414,000894: 12,2454           07222                           TC       POLY                                  
050415,000895: 12,2455           00010                           DEC      8          B-14                       
050416,000896: 12,2456           01000 00000                     2DEC     .031250001                            
050417,000897: 12,2460           72525 52506                     2DEC     -.166666719                            
050418,000898: 12,2462           13301 15337                     2DEC     .355555413                            
050419,000899: 12,2464           62776 54733                     2DEC     -.406347410                            
050420,000900: 12,2466           11176 13267                     2DEC     .288962094                            
050421,000901: 12,2470           73410 51674                     2DEC     -.140117894                            
050422,000902: 12,2472           01446 33641                     2DEC     .049247387                            
050423,000903: 12,2474           77451 65233                     2DEC     -.013081923                            
050424,000904: 12,2476           00055 37266                     2DEC     .002806389                            
050425,000905: 12,2500           77767 52336                     2DEC     -.000529414                            
050426,000906: 12,2502           06037                           TC       INTPRET                               

Page 1181

050428,000908: 12,2503           53605                           DMP      SRR*                                  #                                PL AT 0
050429,000909: 12,2504           00001                                    0D                                    
050430,000910: 12,2505           21574                                    0          -5,1                       
050431,000911: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
050432,000912: 12,2507           72405                           DMP      SL1                                   
050433,000913: 12,2510           00043                                    KEPC1                                 
050434,000914: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
050435,000915: 12,2512           21633                                    TPMODE                                #                                PL AT 0,3
050436,000916: 12,2513           53605                           DMP      SRR*                                  
050437,000917: 12,2514           00033                                    S(XI)                                 
050438,000918: 12,2515           21574                                    0          -5,1                       
050439,000919: 12,2516           72405                           DMP      SL1                                   
050440,000920: 12,2517           00045                                    KEPC2                                 
050441,000921: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
050442,000922: 12,2521           21633                                    TPMODE                                
050443,000923: 12,2522           00041                                    R1                                    
050444,000924: 12,2523           76261                           SR       TAD                                   #                                PL AT 3
050445,000925: 12,2524           20607                                    6                                     
050446,000926: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
050447,000927: 12,2526           00047                                    X1                                    
050448,000928: 12,2527           00025                                    X                                     
050449,000929: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
050450,000930: 12,2531           20576                                    0          -3,1                       
050451,000931: 12,2532           57232                           SL4R     DMPR                                  
050452,000932: 12,2533           00023                                    1/ROOTMU                              
050453,000933: 12,2534           00037                           STORE    T                                     
050454,000934: 12,2535           77616                           RVQ                                            
050455,000935: 

Page 1182

050457,000937: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
050458,000938: 12,2537           00614                                    SLOPESW                               
050459,000939: 12,2540           24606                                    FIRSTIME                              
050460,000940: 12,2541           00037                                    DEP                                   
050461,000941: 12,2542           60225                           DSU      NORM                                  
050462,000942: 12,2543           02762                                    DEPREV                                
050463,000943: 12,2544           00047                                    X1                                    
050464,000944: 12,2545           60325                           PDDL     NORM                                  
050465,000945: 12,2546           00015                                    DELINDEP                              
050466,000946: 12,2547           00050                                    X2                                    
050467,000947: 12,2550           41260                           XSU,1    DMP                                   
050468,000948: 12,2551           00047                                    X2                                    
050469,000949: 12,2552           02760                                    DELDEP                                
050470,000950: 12,2553           56257                           SLR*     DDV                                   #                                PL UP 2
050471,000951: 12,2554           21202                                    1,1                                   
050472,000952: 12,2555           43142                           SR1      BOFF                                  
050473,000953: 12,2556           04351                                    ORDERSW                               
050474,000954: 12,2557           24562                                    SGNCHECK                              
050475,000955: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
050476,000956: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
050477,000957: 
050478,000958: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
050479,000959: 12,2563           24620                                    POSDEL                                
050480,000960: 12,2564           43145                           DLOAD    BON                                   
050481,000961: 12,2565           02766                                    INDEP                                 
050482,000962: 12,2566           04311                                    ORDERSW                               
050483,000963: 12,2567           24571                                    MINCHECK                              
050484,000964: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
050485,000965: 
050486,000966: 12,2571           45221        MINCHECK           BDSU     DSU                                   
050487,000967: 12,2572           00011                                    MIN                                   
050488,000968: 12,2573           51000                           BOV      BPL                                   
050489,000969: 12,2574           24600                                    MODNGDEL                              
050490,000970: 12,2575           24600                                    MODNGDEL                              
050491,000971: 12,2576           77650                           GOTO                                           
050492,000972: 12,2577           24632                                    DELOK                                 
050493,000973: 
050494,000974: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
050495,000975: 12,2601           00011                                    MIN                                   
050496,000976: 12,2602           02766                                    INDEP                                 
050497,000977: 12,2603           52005                           DMP      GOTO                                  
050498,000978: 12,2604           11051                                    DP9/10                                
050499,000979: 12,2605           24634                                    NEWDEL                                
050500,000980: 
050501,000981: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
050502,000982: 12,2607           00011                                    MIN                                   
050503,000983: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
050504,000984: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1183

050506,000986: 12,2612           00017                                    MAX                                   
050507,000987: 12,2613           00051                                    TWEEKIT                               
050508,000988: 12,2614           77625                           DSU                                            
050509,000989: 12,2615           52165                           SIGN     GOTO                                  
050510,000990: 12,2616           02760                                    DELDEP                                
050511,000991: 12,2617           24562                                    SGNCHECK                              
050512,000992: 
050513,000993: 12,2620           43145        POSDEL             DLOAD    BON                                   
050514,000994: 12,2621           02766                                    INDEP                                 
050515,000995: 12,2622           04311                                    ORDERSW                               
050516,000996: 12,2623           24625                                    MAXCHECK                              
050517,000997: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
050518,000998: 
050519,000999: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
050520,001000: 12,2626           00017                                    MAX                                   
050521,001001: 12,2627           50000                           BOV      BMN                                   
050522,001002: 12,2630           24636                                    MODPSDEL                              
050523,001003: 12,2631           24636                                    MODPSDEL                              
050524,001004: 12,2632           77745        DELOK              DLOAD                                          
050525,001005: 12,2633           00001                                    0D                                    
050526,001006: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
050527,001007: 12,2635           77616                           RVQ                                            
050528,001008: 
050529,001009: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
050530,001010: 12,2637           00017                                    MAX                                   
050531,001011: 12,2640           02766                                    INDEP                                 
050532,001012: 12,2641           52005                           DMP      GOTO                                  
050533,001013: 12,2642           11051                                    DP9/10                                
050534,001014: 12,2643           24634                                    NEWDEL                                
050535,001015: 
050536,001016: 12,2644           44753        CHECKCTR           CS       ONE                                   
050537,001017: 12,2645           50120                           INDEX    FIXLOC                                
050538,001018: 12,2646           60026                           AD       ITERCTR                               
050539,001019: 12,2647           50120                           INDEX    FIXLOC                                
050540,001020: 12,2650           54026                           TS       ITERCTR                               
050541,001021: 12,2651           54154                           TS       MPAC                                  
050542,001022: 12,2652           06061                           TC       DANZIG                                
050543,001023: 

Page 1184

050545,001025: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
050546,001026: 12,2654           00041                                    R1                                    
050547,001027: 12,2655           74225                           DSU      VXSC                                  
050548,001028: 12,2656           00035                                    XSQC(XI)                              
050549,001029: 12,2657           02722                                    UR1                                   
050550,001030: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
050551,001031: 12,2661           00025                                    X                                     
050552,001032: 12,2662           60316                           DSQ      NORM                                  
050553,001033: 12,2663           00047                                    X1                                    
050554,001034: 12,2664           57275                           DMPR     DMPR                                  
050555,001035: 12,2665           00023                                    1/ROOTMU                              
050556,001036: 12,2666           00025                                    X                                     
050557,001037: 12,2667           53605                           DMP      SRR*                                  
050558,001038: 12,2670           00033                                    S(XI)                                 
050559,001039: 12,2671           21572                                    0          -7,1                       
050560,001040: 12,2672           77621                           BDSU                                           
050561,001041: 12,2673           00037                                    T                                     
050562,001042: 12,2674           74352                           SL1      VXSC                                  
050563,001043: 12,2675           02744                                    VVEC                                  
050564,001044: 12,2676           53372                           VSL1     VAD                                   #                                PL AT 0
050565,001045: 12,2677           41512                           VSL4     PUSH                                  
050566,001046: 12,2700           77646                           ABVAL                                          
050567,001047: 12,2701           77701        LAMENTER           NORM                                           
050568,001048: 12,2702           00047                                    X1                                    
050569,001049: 12,2703           16720                           STODL    R2                                    
050570,001050: 12,2704           00031                                    XI                                    
050571,001051: 12,2705           45205                           DMP      DSU                                   
050572,001052: 12,2706           00033                                    S(XI)                                 
050573,001053: 12,2707           11033                                    D1/128                                
050574,001054: 12,2710           76405                           DMP      SL1R                                  
050575,001055: 12,2711           00021                                    ROOTMU                                
050576,001056: 12,2712           53605                           DMP      SLR*                                  
050577,001057: 12,2713           00025                                    X                                     
050578,001058: 12,2714           21176                                    0          -3,1                       
050579,001059: 12,2715           74271                           DDV      VXSC                                  
050580,001060: 12,2716           02720                                    R2                                    
050581,001061: 12,2717           02722                                    UR1                                   
050582,001062: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
050583,001063: 12,2721           00035                                    XSQC(XI)                              
050584,001064: 12,2722           56257                           SLR*     DDV                                   
050585,001065: 12,2723           21175                                    0          -4,1                       
050586,001066: 12,2724           02720                                    R2                                    
050587,001067: 12,2725           77621                           BDSU                                           
050588,001068: 12,2726           11047                                    D1/256                                
050589,001069: 12,2727           53361                           VXSC     VAD                                   #                                PL AT 6
050590,001070: 12,2730           02744                                    VVEC                                  
050591,001071: 12,2731           43412                           VSL8     RVQ                                   
050592,001072: 

Page 1185

050594,001074: 04,2000                                           SETLOC   CONICS1                               
050595,001075: 04,2000                                           BANK                                           
050596,001076: 
050597,001077: 04,3027                                           COUNT*   $$/CONIC                              
050598,001078:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
050599,001079: 04,3027           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
050600,001080: 04,3030           04000 00000  D1/8               2DEC     1.0        B-3                        
050601,001081: 04,3032           00200 00000  D1/128             2DEC     1.0        B-7                        
050602,001082: 04,3034           00400 00000  D1/64              2DEC     1.0        B-6                        
050603,001083: 04,3036           10000 00000  D1/4               2DEC     1.0        B-2                        
050604,001084: 04,3040           02000 00000  D1/16              2DEC     1.0        B-4                        
050605,001085: 04,3042           01000 00000  D1/32              2DEC     1.0        B-5                        
050606,001086: 04,3044           00020 00000  D1/1024            2DEC     1.0        B-10                       
050607,001087: 04,3046           00100 00000  D1/256             2DEC     1.0        B-8                        
050608,001088: 04,3050           34631 23146  DP9/10             2DEC     .9                                    
050609,001089: 04,3052  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
050610,001090: 04,3052           77467 77777  -50SC              2DEC     -50.0      B-12                       
050611,001091: 04,3054           03110 17665  2PISC              2DEC     6.28318530 B-6                        
050612,001092: 04,3056  04,3041               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
050613,001093: 04,3056  04,3045               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
050614,001094: 04,3056           00000 00001  ONEBIT             2DEC     1.0        B-28                       
050615,001095: 04,3060           37767 37737  COGUPLIM           2DEC     .999511597                            
050616,001096: 04,3062           40010 40040  COGLOLIM           2DEC     -.999511597                            
050617,001097: 

Page 1186

050619,001099: 12,2000                                           SETLOC   CONICS                                
050620,001100: 12,2000                                           BANK                                           
050621,001101: 
050622,001102: 12,2732                                           COUNT*   $$/CONIC                              
050623,001103: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
050624,001104: 12,2733           02710                                    RTNTT                                 
050625,001105: 12,2734           00001                                    0                                     
050626,001106: 12,2735           77600                           BOV                                            
050627,001107: 12,2736           24737                                    +1                                    
050628,001108: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
050629,001109: 12,2740           02655                                    RVEC                                  
050630,001110: 12,2741           02744                                    VVEC                                  
050631,001111: 12,2742           77624                           CALL                                           
050632,001112: 12,2743           11064                                    PARAM                                 
050633,001113: 12,2744           45000                           BOV      CALL                                  #                                PL AT 0
050634,001114: 12,2745           24764                                    COGAOVFL                              
050635,001115: 12,2746           24767                                    GETX                                  
050636,001116: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
050637,001117: 12,2750           00031                                    XI                                    
050638,001118: 12,2751           04310                                    INFINFLG                              
050639,001119: 12,2752           25742                                    ABTCONIC                              
050640,001120: 12,2753           45014                           CLEAR    CALL                                  
050641,001121: 12,2754           04273                                    COGAFLAG                              
050642,001122: 12,2755           24421                                    DELTIME                               
050643,001123: 12,2756           45014                           BON      CALL                                  
050644,001124: 12,2757           03706                                    RVSW                                  
050645,001125: 12,2760           02710                                    RTNTT                                 
050646,001126: 12,2761           24653                                    NEWSTATE                              
050647,001127: 12,2762           77650                           GOTO                                           
050648,001128: 12,2763           02710                                    RTNTT                                 
050649,001129: 
050650,001130: 12,2764           77614        COGAOVFL           SETGO                                          
050651,001131: 12,2765           04033                                    COGAFLAG                              
050652,001132: 12,2766           25742                                    ABTCONIC                              
050653,001133: 
050654,001134: 04,3064                                           BANK     4                                     
050655,001135: 04,2000                                           SETLOC   CONICS1                               
050656,001136: 04,2000                                           BANK                                           
050657,001137: 04,3064                                           COUNT*   $$/CONIC                              
050658,001138: 04,3064           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
050659,001139: 04,3065           02753                                    RTNPRM                                
050660,001140: 04,3066           03665                                    NORMSW                                
050661,001141: 04,3067           77614                           CLEAR                                          
050662,001142: 04,3070           04273                                    COGAFLAG                              
050663,001143: 04,3071           45131                           SSP      CALL                                  
050664,001144: 04,3072           02673                                    GEOMSGN                               
050665,001145: 04,3073           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
050666,001146: 04,3074           11130                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
050667,001147: 04,3075           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0
050668,001148: 04,3076           56261                           SR       DDV                                   

Page 1187

050670,001150: 04,3077           20606                                    5                                     
050671,001151: 04,3100           00045                                    36D                                   
050672,001152: 04,3101           32766                           STOVL*   COGA                                  
050673,001153: 04,3102           10005                                    MUTABLE,1                             
050674,001154: 04,3103           14017                           STODL    1/MU                                  
050675,001155: 04,3104           02720                                    MAGVEC2                               
050676,001156: 04,3105           60316                           DSQ      NORM                                  
050677,001157: 04,3106           00047                                    X1                                    
050678,001158: 04,3107           41275                           DMPR     DMP                                   
050679,001159: 04,3110           00017                                    1/MU                                  
050680,001160: 04,3111           00041                                    R1                                    
050681,001161: 04,3112           77657                           SRR*                                           
050682,001162: 04,3113           21576                                    0          -3,1                       
050683,001163: 04,3114           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
050684,001164: 04,3115           11043                                    D1/32                                 
050685,001165: 04,3116           16742                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
050686,001166: 
050687,001167: 04,3117           60205                           DMP      NORM                                  
050688,001168: 04,3120           00045                                    36D                                   
050689,001169: 04,3121           00047                                    X1                                    
050690,001170: 04,3122           53605                           DMP      SR*                                   
050691,001171: 04,3123           00045                                    36D                                   
050692,001172: 04,3124           20575                                    0          -4,1                       
050693,001173: 04,3125           02740                           STORE    P                                     #  P (+4)
050694,001174: 04,3126           77650                           GOTO                                           
050695,001175: 04,3127           02753                                    RTNPRM                                
050696,001176: 

Page 1188

050698,001178: 04,3130           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
050699,001179: 04,3131           16712                           STODL    U2                                    #  U2 (+1)
050700,001180: 04,3132           00045                                    36D                                   
050701,001181: 04,3133           26720                           STOVL    MAGVEC2                               #                                PL AT 0
050702,001182: 04,3134           77656                           UNIT                                           
050703,001183: 04,3135           02722                           STORE    UR1                                   #  UR1 (+1)
050704,001184: 04,3136           72441                           DOT      SL1                                   
050705,001185: 04,3137           02712                                    U2                                    
050706,001186: 04,3140           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
050707,001187: 04,3141           00045                                    36D                                   
050708,001188: 04,3142           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
050709,001189: 04,3143           02722                                    UR1                                   
050710,001190: 04,3144           76435                           VXV      VSL1                                  
050711,001191: 04,3145           02712                                    U2                                    
050712,001192: 04,3146           75214                           BON      SIGN                                  
050713,001193: 04,3147           03705                                    NORMSW                                
050714,001194: 04,3150           11162                                    HAVENORM                              
050715,001195: 04,3151           02673                                    GEOMSGN                               
050716,001196: 04,3152           40056                           UNIT     BOV                                   
050717,001197: 04,3153           11160                                    COLINEAR                              
050718,001198: 04,3154           16674        UNITNORM           STODL    UN                                    #  UN (+1)
050719,001199: 04,3155           00045                                    36D                                   
050720,001200: 04,3156           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
050721,001201: 04,3157           02673                                    GEOMSGN                               
050722,001202: 
050723,001203: 04,3160           52162        COLINEAR           VSR1     GOTO                                  
050724,001204: 04,3161           11154                                    UNITNORM                              
050725,001205: 
050726,001206: 04,3162           75246        HAVENORM           ABVAL    SIGN                                  
050727,001207: 04,3163           02673                                    GEOMSGN                               
050728,001208: 04,3164           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
050729,001209: 

Page 1189

050731,001211: 12,2767                                           BANK     12                                    
050732,001212: 12,2000                                           SETLOC   CONICS                                
050733,001213: 12,2000                                           BANK                                           
050734,001214: 
050735,001215: 12,2767                                           COUNT*   $$/CONIC                              
050736,001216: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
050737,001217: 12,2770           00003                                    3                                     
050738,001218: 12,2771           00052                                    S2                                    
050739,001219: 12,2772           00001                                    1                                     
050740,001220: 12,2773           77614                           CLEAR                                          
050741,001221: 12,2774           04276                                    360SW                                 
050742,001222: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
050743,001223: 12,2776           02732                                    CSTH                                  
050744,001224: 12,2777           44342                           SR1      BDSU                                  
050745,001225: 12,3000           11037                                    D1/4                                  
050746,001226: 12,3001           54325                           PDDL     SRR                                   #                                PL AT 4D
050747,001227: 12,3002           02730                                    SNTH                                  
050748,001228: 12,3003           21607                                    6                                     
050749,001229: 12,3004           77671                           DDV                                            #                                PL AT 2
050750,001230: 12,3005           77600                           BOV                                            
050751,001231: 12,3006           25122                                    360CHECK                              
050752,001232: 12,3007           41225                           DSU      DMP                                   
050753,001233: 12,3010           02766                                    COGA                                  #                                PL AT 0
050754,001234: 12,3011           40132                           SL2R     BOV                                   
050755,001235: 12,3012           25122                                    360CHECK                              
050756,001236: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
050757,001237: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
050758,001238: 12,3015           00155                                    MPAC                                  
050759,001239: 12,3016           02742                                    R1A                                   
050760,001240: 12,3017           76202                           SR4      TAD                                   #                                PL AT 2
050761,001241: 12,3020           75440                           BMN      SQRT                                  
050762,001242: 12,3021           25205                                    INFINITY                              
050763,001243: 12,3022           43306                           ROUND    DAD                                   #                                PL AT 0D
050764,001244: 12,3023           61000                           BOV      TIX,2                                 
050765,001245: 12,3024           25120                                    RESETX2                               
050766,001246: 12,3025           25013                                    WLOOP                                 
050767,001247: 
050768,001248: 12,3026           40065                           BDDV     BOV                                   
050769,001249: 12,3027           11033                                    D1/128                                
050770,001250: 12,3030           25205                                    INFINITY                              
050771,001251: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
050772,001252: 12,3032           25205                                    INFINITY                              
050773,001253: 12,3033           77716                           DSQ                                            
050774,001254: 12,3034           41301                           NORM     DMP                                   
050775,001255: 12,3035           00047                                    X1                                    
050776,001256: 12,3036           02742                                    R1A                                   
050777,001257: 12,3037           77457                           SRR*     EXIT                                  
050778,001258: 12,3040           21567                                    0          -10D,1                     
050779,001259: 12,3041           07222                           TC       POLY                                  

Page 1190

050781,001261: 12,3042           00005                           DEC      5          B-14                       
050782,001262: 12,3043           20000 00000                     2DEC     .5                                    
050783,001263: 12,3045           72525 52471                     2DEC     -.166666770                            
050784,001264: 12,3047           03146 15003                     2DEC     .100000392                            
050785,001265: 12,3051           75556 45210                     2DEC     -.071401086                            
050786,001266: 12,3053           01615 13553                     2DEC     .055503292                            
050787,001267: 12,3055           76371 63777                     2DEC     -.047264098                            
050788,001268: 12,3057           01232 27367                     2DEC     .040694204                            
050789,001269: 
050790,001270: 12,3061           06037                           TC       INTPRET                               
050791,001271: 12,3062           76405                           DMP      SL1R                                  #                                PL AT 0D
050792,001272: 12,3063           43006                           PUSH     BON                                   
050793,001273: 12,3064           04316                                    360SW                                 
050794,001274: 12,3065           25172                                    TRUE360X                              
050795,001275: 12,3066           60316        XCOMMON            DSQ      NORM                                  
050796,001276: 12,3067           00047                                    X1                                    
050797,001277: 12,3070           53605                           DMP      SRR*                                  
050798,001278: 12,3071           02742                                    R1A                                   
050799,001279: 12,3072           21565                                    0          -12D,1                     
050800,001280: 12,3073           14031                           STODL    XI                                    #  XI (+6)
050801,001281: 12,3074           00041                                    R1                                    
050802,001282: 12,3075           75542                           SR1      SQRT                                  
050803,001283: 12,3076           41306                           ROUND    DMP                                   
050804,001284: 12,3077           77632                           SL4R                                           #                                PL AT 0
050805,001285: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
050806,001286: 
050807,001287: 12,3101           60316                           DSQ      NORM                                  
050808,001288: 12,3102           00047                                    X1                                    
050809,001289: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
050810,001290: 12,3104           02740                                    P                                     
050811,001291: 12,3105           00041                                    R1                                    
050812,001292: 12,3106           75452                           SL3      SQRT                                  
050813,001293: 12,3107           56405                           DMP      SL3R                                  
050814,001294: 12,3110           02766                                    COGA                                  
050815,001295: 12,3111           14043                           STODL    KEPC1                                 
050816,001296: 12,3112           02742                                    R1A                                   
050817,001297: 12,3113           43021                           BDSU     CLEAR                                 
050818,001298: 12,3114           11035                                    D1/64                                 
050819,001299: 12,3115           04270                                    INFINFLG                              
050820,001300: 12,3116           00045                           STORE    KEPC2                                 
050821,001301: 12,3117           77616                           RVQ                                            
050822,001302: 

Page 1191

050824,001304: 12,3120           77774        RESETX2            AXT,2                                          
050825,001305: 12,3121           00003                                    3                                     
050826,001306: 
050827,001307: 12,3122           51001        360CHECK           SETPD    BPL                                   
050828,001308: 12,3123           00001                                    0D                                    
050829,001309: 12,3124           25127                                    INVRSEQN                              
050830,001310: 12,3125           77614                           SET                                            
050831,001311: 12,3126           04076                                    360SW                                 
050832,001312: 
050833,001313: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
050834,001314: 12,3130           02740                                    P                                     
050835,001315: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
050836,001316: 12,3132           02730                                    SNTH                                  
050837,001317: 12,3133           02766                                    COGA                                  
050838,001318: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
050839,001319: 12,3135           02732                                    CSTH                                  
050840,001320: 12,3136           43202                           SR4      DAD                                   
050841,001321: 12,3137           11043                                    D1/32                                 
050842,001322: 12,3140           41225                           DSU      DMP                                   #                                PL AT 2,0
050843,001323: 12,3141           55301                           NORM     BDDV                                  
050844,001324: 12,3142           00047                                    X1                                    
050845,001325: 12,3143           02730                                    SNTH                                  
050846,001326: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
050847,001327: 12,3145           21174                                    0          -5,1                       
050848,001328: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
050849,001329: 12,3147           14043                           STODL    34D                                   
050850,001330: 12,3150           11041                                    D1/16                                 
050851,001331: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
050852,001332: 12,3152           65234                           RTB      PDDL                                  #                                PL AT 7
050853,001333: 12,3153           21633                                    TPMODE                                
050854,001334: 12,3154           02742                                    R1A                                   
050855,001335: 12,3155           40405                           DMP      SR4                                   
050856,001336: 12,3156           00043                                    34D                                   
050857,001337: 12,3157           77771                           TAD                                            #                                PL AT 4
050858,001338: 12,3160           75440                           BMN      SQRT                                  
050859,001339: 12,3161           25205                                    INFINITY                              
050860,001340: 12,3162           77615                           DAD                                            #                                PL AT 2
050861,001341: 12,3163           60304                           TIX,2    NORM                                  
050862,001342: 12,3164           25151                                    1/WLOOP                               
050863,001343: 12,3165           00047                                    X1                                    
050864,001344: 12,3166           77665                           BDDV                                           
050865,001345: 12,3167           52057                           SLR*     GOTO                                  #                                PL AT 0
050866,001346: 12,3170           21172                                    0          -7,1                       
050867,001347: 12,3171           25031                                    POLYCOEF                              
050868,001348: 
050869,001349: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
050870,001350: 12,3173           02742                                    R1A                                   

Page 1192

050872,001352: 12,3174           25205                                    INFINITY                              
050873,001353: 12,3175           60366                           SQRT     NORM                                  
050874,001354: 12,3176           00047                                    X1                                    
050875,001355: 12,3177           53665                           BDDV     SL*                                   
050876,001356: 12,3200           11055                                    2PISC                                 
050877,001357: 12,3201           20176                                    0          -3,1                       
050878,001358: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
050879,001359: 12,3203           77650                           GOTO                                           
050880,001360: 12,3204           25066                                    XCOMMON                               
050881,001361: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
050882,001362: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
050883,001363: 12,3207           25210                                    OVFLCLR                               
050884,001364: 12,3210           43414        OVFLCLR            SET      RVQ                                   
050885,001365: 12,3211           04070                                    INFINFLG                              
050886,001366: 

Page 1193

050888,001368: 12,3212           40220        LAMBERT            STQ      SETPD                                 
050889,001369: 12,3213           02710                                    RTNLAMB                               
050890,001370: 12,3214           00001                                    0D                                    
050891,001371: 12,3215           77600                           BOV                                            
050892,001372: 12,3216           25217                                    +1                                    
050893,001373: 12,3217           76614                           CLEAR    VLOAD*                                
050894,001374: 12,3220           02674                                    SOLNSW                                
050895,001375: 12,3221           10005                                    MUTABLE,1                             
050896,001376: 12,3222           14017                           STODL    1/MU                                  
050897,001377: 12,3223           02671                                    TDESIRED                              
050898,001378: 12,3224           77675                           DMPR                                           
050899,001379: 12,3225           11042                                    BEE19                                 
050900,001380: 12,3226           02764                           STORE    EPSILONL                              
050901,001381: 12,3227           77214                           SET      VLOAD                                 
050902,001382: 12,3230           00474                                    SLOPESW                               
050903,001383: 12,3231           02655                                    R1VEC                                 
050904,001384: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
050905,001385: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
050906,001386: 12,3234           11130                                    GEOM                                  
050907,001387: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
050908,001388: 12,3236           02720                                    MAGVEC2                               
050909,001389: 12,3237           65301                           NORM     PDDL                                  #                                PL AT 4
050910,001390: 12,3240           00047                                    X1                                    
050911,001391: 12,3241           00041                                    R1                                    
050912,001392: 12,3242           56342                           SR1      DDV                                   #                                PL AT 2
050913,001393: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
050914,001394: 12,3244           20173                                    0          -6,1                       
050915,001395: 12,3245           77626                           STADR                                          
050916,001396: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
050917,001397: 12,3247           44342                           SR1      BDSU                                  
050918,001398: 12,3250           11037                                    D1/4                                  
050919,001399: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
050920,001400: 
050921,001401: 12,3252           53106                           ROUND    BZE                                   
050922,001402: 12,3253           25463                                    360LAMB                               
050923,001403: 12,3254           65301                           NORM     PDDL                                  #                                PL AT 4
050924,001404: 12,3255           00047                                    X1                                    
050925,001405: 12,3256           00001                                    0D                                    
050926,001406: 12,3257           56342                           SR1      DDV                                   #                                PL AT 2
050927,001407: 12,3260           75457                           SL*      SQRT                                  
050928,001408: 12,3261           20176                                    0          -3,1                       
050929,001409: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
050930,001410: 12,3263           02730                                    SNTH                                  
050931,001411: 12,3264           20607                                    6                                     
050932,001412: 12,3265           43271                           DDV      DAD                                   #                                PL AT 2
050933,001413: 12,3266           02734                                    1-CSTH                                
050934,001414: 12,3267           77626                           STADR                                          
050935,001415: 12,3270           77760                           STORE    COGAMAX                               
050936,001416: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
050937,001417: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1194

050939,001419: 12,3273           25302                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
050940,001420: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
050941,001421: 12,3275           11061                                    COGUPLIM                              
050942,001422: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
050943,001423: 12,3277           77745        UPLIM              DLOAD                                          
050944,001424: 12,3300           11061                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
050945,001425: 12,3301           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
050946,001426: 12,3302           77745        MAXCOGA            DLOAD                                          
050947,001427: 12,3303           02732                                    CSTH                                  
050948,001428: 12,3304           45261                           SR       DSU                                   #                                PL AT 0
050949,001429: 12,3305           20607                                    6                                     
050950,001430: 12,3306           77626                           STADR                                          
050951,001431: 12,3307           61041                           STODL    CSTH-RHO                              
050952,001432: 12,3310           02673                                    GEOMSGN                               
050953,001433: 12,3311           71240                           BMN      DLOAD                                 
050954,001434: 12,3312           25503                                    LOLIM                                 
050955,001435: 12,3313           02736                                    CSTH-RHO                              
050956,001436: 12,3314           56352                           SL1      DDV                                   
050957,001437: 12,3315           02730                                    SNTH                                  
050958,001438: 12,3316           77600                           BOV                                            
050959,001439: 12,3317           25503                                    LOLIM                                 
050960,001440: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
050961,001441: 12,3321           66214                           BON      SSP                                   
050962,001442: 12,3322           00715                                    GUESSW                                
050963,001443: 12,3323           25467                                    NOGUESS                               
050964,001444: 12,3324           00051                                    TWEEKIT                               
050965,001445: 12,3325           00001                                    00001                                 
050966,001446: 12,3326           77745                           DLOAD                                          
050967,001447: 12,3327           02766                                    COGA                                  
050968,001448: 
050969,001449: 12,3330           77605        LAMBLOOP           DMP                                            
050970,001450: 12,3331           02730                                    SNTH                                  
050971,001451: 12,3332           45342                           SR1      DSU                                   
050972,001452: 12,3333           02736                                    CSTH-RHO                              
050973,001453: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
050974,001454: 12,3335           00047                                    X1                                    
050975,001455: 12,3336           02734                                    1-CSTH                                
050976,001456: 12,3337           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
050977,001457: 12,3340           20170                                    0          -9D,1                      
050978,001458: 12,3341           53040                           BMN      BZE                                   
050979,001459: 12,3342           25417                                    NEGP                                  
050980,001460: 12,3343           25417                                    NEGP                                  
050981,001461: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
050982,001462: 12,3345           02766                                    COGA                                  
050983,001463: 12,3346           43316                           DSQ      DAD                                   
050984,001464: 12,3347           11045                                    D1/1024                               
050985,001465: 12,3350           41301                           NORM     DMP                                   
050986,001466: 12,3351           00047                                    X1                                    
050987,001467: 12,3352           02740                                    P                                     

Page 1195

050989,001469: 12,3353           44257                           SR*      BDSU                                  
050990,001470: 12,3354           20571                                    0          -8D,1                      
050991,001471: 12,3355           11043                                    D1/32                                 
050992,001472: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
050993,001473: 12,3357           02740                                    P                                     
050994,001474: 12,3360           45000                           BOV      CALL                                  
050995,001475: 12,3361           25422                                    HIENERGY                              
050996,001476: 12,3362           24767                                    GETX                                  
050997,001477: 12,3363           77745                           DLOAD                                          
050998,001478: 12,3364           00037                                    T                                     
050999,001479: 12,3365           16762                           STODL    TPREV                                 
051000,001480: 12,3366           00031                                    XI                                    
051001,001481: 12,3367           45014                           BON      CALL                                  
051002,001482: 12,3370           04310                                    INFINFLG                              
051003,001483: 12,3371           25417                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
051004,001484: 12,3372           24421                                    DELTIME                               
051005,001485: 12,3373           44200                           BOV      BDSU                                  
051006,001486: 12,3374           25437                                    BIGTIME                               
051007,001487: 12,3375           02671                                    TDESIRED                              
051008,001488: 12,3376           02760                           STORE    TERRLAMB                              
051009,001489: 12,3377           44246                           ABS      BDSU                                  
051010,001490: 12,3400           02764                                    EPSILONL                              
051011,001491: 12,3401           47044                           BPL      RTB                                   
051012,001492: 12,3402           25506                                    INITV                                 
051013,001493: 12,3403           24644                                    CHECKCTR                              
051014,001494: 12,3404           45030                           BHIZ     CALL                                  
051015,001495: 12,3405           25450                                    SUFFCHEK                              
051016,001496: 12,3406           24536                                    ITERATOR                              
051017,001497: 12,3407           53145                           DLOAD    BZE                                   
051018,001498: 12,3410           00155                                    MPAC                                  
051019,001499: 12,3411           25450                                    SUFFCHEK                              
051020,001500: 12,3412           77615                           DAD                                            
051021,001501: 12,3413           02766                                    COGA                                  
051022,001502: 12,3414           02766                           STORE    COGA                                  
051023,001503: 12,3415           77650                           GOTO                                           
051024,001504: 12,3416           25330                                    LAMBLOOP                              
051025,001505: 
051026,001506: 12,3417           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
051027,001507: 12,3420           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
051028,001508: 12,3421           25442                                    LOENERGY                              
051029,001509: 
051030,001510: 12,3422           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
051031,001511: 12,3423           00001                                    0                                     
051032,001512: 12,3424           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
051033,001513: 12,3425           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
051034,001514: 12,3426           70545        COMMONLM           DLOAD    SR1                                   
051035,001515: 12,3427           00015                                    DCOGA                                 

Page 1196

051037,001517: 12,3430           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
051038,001518: 12,3431           44254                           BZE      BDSU                                  
051039,001519: 12,3432           25450                                    SUFFCHEK                              
051040,001520: 12,3433           02766                                    COGA                                  
051041,001521: 12,3434           02766                           STORE    COGA                                  
051042,001522: 12,3435           77650                           GOTO                                           #  RESTART THIS LOOP
051043,001523: 12,3436           25330                                    LAMBLOOP                              
051044,001524: 
051045,001525: 12,3437           77745        BIGTIME            DLOAD                                          
051046,001526: 12,3440           02762                                    TPREV                                 
051047,001527: 12,3441           00037                           STORE    T                                     
051048,001528: 
051049,001529: 12,3442           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
051050,001530: 12,3443           00001                                    0                                     
051051,001531: 12,3444           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
051052,001532: 12,3445           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
051053,001533: 12,3446           77650                           GOTO                                           
051054,001534: 12,3447           25426                                    COMMONLM                              
051055,001535: 
051056,001536: 12,3450           51545        SUFFCHEK           DLOAD    ABS                                   
051057,001537: 12,3451           02760                                    TERRLAMB                              
051058,001538: 12,3452           41325                           PDDL     DMP                                   #                                PL AT 2D
051059,001539: 12,3453           02671                                    TDESIRED                              
051060,001540: 12,3454           11030                                    BEE17                                 
051061,001541: 12,3455           45215                           DAD      DSU                                   #                                PL AT 0D
051062,001542: 12,3456           11057                                    ONEBIT                                
051063,001543: 12,3457           43044                           BPL      SETGO                                 
051064,001544: 12,3460           25506                                    INITV                                 
051065,001545: 12,3461           02434                                    SOLNSW                                
051066,001546: 12,3462           25506                                    INITV                                 
051067,001547: 12,3463           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
051068,001548: 12,3464           00001                                    0                                     
051069,001549: 12,3465           02434                                    SOLNSW                                
051070,001550: 12,3466           02710                                    RTNLAMB                               
051071,001551: 
051072,001552: 12,3467           71331        NOGUESS            SSP      DLOAD                                 
051073,001553: 12,3470           00051                                    TWEEKIT                               
051074,001554: 12,3471           10000                                    20000                                 
051075,001555: 12,3472           00011                                    COGAMIN                               
051076,001556: 12,3473           65342                           SR1      PDDL                                  #                                PL AT 2
051077,001557: 12,3474           00017                                    COGAMAX                               
051078,001558: 12,3475           43342                           SR1      DAD                                   
051079,001559: 12,3476           77626                           STADR                                          #                                PL AT 0
051080,001560: 12,3477           75011                           STORE    COGA                                  
051081,001561: 12,3500           00015                           STORE    DCOGA                                 
051082,001562: 12,3501           77650                           GOTO                                           

Page 1197

051084,001564: 12,3502           25330                                    LAMBLOOP                              
051085,001565: 
051086,001566: 12,3503           52145        LOLIM              DLOAD    GOTO                                  
051087,001567: 12,3504           11063                                    COGLOLIM                              #  COGLOLIM=-.999511597
051088,001568: 12,3505           25320                                    MINCOGA                               
051089,001569: 
051090,001570: 12,3506           60345        INITV              DLOAD    NORM                                  
051091,001571: 12,3507           00041                                    R1                                    
051092,001572: 12,3510           00047                                    X1                                    
051093,001573: 12,3511           70525                           PDDL     SR1                                   #                                PL AT 2
051094,001574: 12,3512           02740                                    P                                     
051095,001575: 12,3513           77671                           DDV                                            #                                PL AT 0
051096,001576: 12,3514           75457                           SL*      SQRT                                  
051097,001577: 12,3515           20175                                    0          -4,1                       
051098,001578: 12,3516           72405                           DMP      SL1                                   
051099,001579: 12,3517           00021                                    ROOTMU                                
051100,001580: 12,3520           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
051101,001581: 12,3521           02766                                    COGA                                  
051102,001582: 12,3522           74261                           SL       VXSC                                  
051103,001583: 12,3523           20206                                    5                                     
051104,001584: 12,3524           02722                                    UR1                                   
051105,001585: 12,3525           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
051106,001586: 12,3526           76561                           VXSC     VSL1                                  
051107,001587: 12,3527           02674                                    UN                                    
051108,001588: 12,3530           53235                           VXV      VAD                                   #                                PL AT 0
051109,001589: 12,3531           02722                                    UR1                                   
051110,001590: 12,3532           77772                           VSL1                                           
051111,001591: 12,3533           02744                           STORE    VVEC                                  
051112,001592: 12,3534           53135                           SLOAD    BZE                                   
051113,001593: 12,3535           02702                                    VTARGTAG                              
051114,001594: 12,3536           25541                                    TARGETV                               
051115,001595: 12,3537           77650                           GOTO                                           
051116,001596: 12,3540           02710                                    RTNLAMB                               
051117,001597: 
051118,001598: 12,3541           45145        TARGETV            DLOAD    CALL                                  
051119,001599: 12,3542           02720                                    MAGVEC2                               
051120,001600: 12,3543           24701                                    LAMENTER                              
051121,001601: 12,3544           02703                           STORE    VTARGET                               
051122,001602: 12,3545           77650                           GOTO                                           
051123,001603: 12,3546           02710                                    RTNLAMB                               
051124,001604: 

Page 1198

051126,001606: 12,3547           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
051127,001607: 12,3550           02710                                    RTNTR                                 
051128,001608: 12,3551           00001                                    0                                     
051129,001609: 12,3552           77600                           BOV                                            
051130,001610: 12,3553           25554                                    +1                                    
051131,001611: 12,3554           63375                           VLOAD    PDVL                                  #                                PL AT 6
051132,001612: 12,3555           02655                                    RVEC                                  
051133,001613: 12,3556           02744                                    VVEC                                  
051134,001614: 12,3557           77624                           CALL                                           
051135,001615: 12,3560           11064                                    PARAM                                 
051136,001616: 12,3561           71200                           BOV      DLOAD                                 #                                PL AT 0
051137,001617: 12,3562           24764                                    COGAOVFL                              
051138,001618: 12,3563           11043                                    D1/32                                 
051139,001619: 12,3564           41225                           DSU      DMP                                   
051140,001620: 12,3565           02742                                    R1A                                   
051141,001621: 12,3566           02740                                    P                                     
051142,001622: 12,3567           41366                           SQRT     DMP                                   
051143,001623: 12,3570           02766                                    COGA                                  
051144,001624: 12,3571           74212                           SL4      VXSC                                  
051145,001625: 12,3572           02712                                    U2                                    
051146,001626: 12,3573           45325                           PDDL     DSU                                   #                                PL AT 6
051147,001627: 12,3574           11035                                    D1/64                                 
051148,001628: 12,3575           02742                                    R1A                                   
051149,001629: 12,3576           52361                           VXSC     VSU                                   #                                PL AT 0
051150,001630: 12,3577           02722                                    UR1                                   
051151,001631: 12,3600           53512                           VSL4     UNIT                                  
051152,001632: 12,3601           77600                           BOV                                            
051153,001633: 12,3602           25660                                    CIRCULAR                              
051154,001634: 12,3603           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
051155,001635: 12,3604           02756                                    RDESIRED                              #  36D=ECC (+3)
051156,001636: 12,3605           00047                                    X1                                    
051157,001637: 12,3606           41325                           PDDL     DMP                                   #                                PL AT 8
051158,001638: 12,3607           00041                                    R1                                    
051159,001639: 12,3610           02740                                    P                                     
051160,001640: 12,3611           56257                           SL*      DDV                                   #                                PL AT 6
051161,001641: 12,3612           20201                                    0,1                                   
051162,001642: 12,3613           56225                           DSU      DDV                                   
051163,001643: 12,3614           11041                                    D1/16                                 
051164,001644: 12,3615           00045                                    36D                                   #  36D=ECC (+3)
051165,001645: 12,3616           00031                           STORE    COSF                                  
051166,001646: 12,3617           63400                           BOV      DSQ                                   
051167,001647: 12,3620           25664                                    BADR2                                 
051168,001648: 12,3621           50021                           BDSU     BMN                                   
051169,001649: 12,3622           11037                                    D1/4                                  
051170,001650: 12,3623           25664                                    BADR2                                 
051171,001651: 12,3624           75366                           SQRT     SIGN                                  
051172,001652: 12,3625           02755                                    SGNRDOT                               
051173,001653: 12,3626           77614                           CLEAR                                          
051174,001654: 12,3627           04272                                    APSESW                                

Page 1199

051176,001656: 12,3630           76561        TERMNVEC           VXSC     VSL1                                  
051177,001657: 12,3631           02674                                    UN                                    
051178,001658: 12,3632           63235                           VXV      PDVL                                  #  VXCH WITH 0D                  PL AT 0,6
051179,001659: 12,3633           00001                                    0D                                    
051180,001660: 12,3634           53361                           VXSC     VAD                                   #                                PL AT 0
051181,001661: 12,3635           00031                                    COSF                                  
051182,001662: 12,3636           41572                           VSL1     PUSH                                  #  0D=U2                         PL AT 6
051183,001663: 
051184,001664: 12,3637           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
051185,001665: 12,3640           02722                                    UR1                                   
051186,001666: 12,3641           25756                                    DP1/4                                 
051187,001667: 12,3642           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
051188,001668: 12,3643           25644                                    +1                                    #  CLEAR OVFIND IF SET
051189,001669: 12,3644           26732                           STOVL    CSTH                                  #  CSTH (+1)
051190,001670: 12,3645           02722                                    UR1                                   
051191,001671: 12,3646           76435                           VXV      VSL1                                  
051192,001672: 12,3647           72441                           DOT      SL1                                   
051193,001673: 12,3650           02674                                    UN                                    
051194,001674: 12,3651           16730                           STODL    SNTH                                  #  SNTH (+1)
051195,001675: 12,3652           02740                                    P                                     
051196,001676: 12,3653           77624                           CALL                                           
051197,001677: 12,3654           24767                                    GETX                                  
051198,001678: 12,3655           77614                           CLRGO                                          
051199,001679: 12,3656           02634                                    SOLNSW                                
051200,001680: 12,3657           24747                                    COMMNOUT                              
051201,001681: 
051202,001682: 12,3660           43001        CIRCULAR           SETPD    SETGO                                 
051203,001683: 12,3661           00001                                    0                                     
051204,001684: 12,3662           02434                                    SOLNSW                                
051205,001685: 12,3663           25742                                    ABTCONIC                              
051206,001686: 
051207,001687: 12,3664           75345        BADR2              DLOAD    SIGN                                  
051208,001688: 12,3665           24005                                    LODPHALF                              
051209,001689: 12,3666           00031                                    COSF                                  
051210,001690: 12,3667           14031                           STODL    COSF                                  
051211,001691: 12,3670           24007                                    KEPZERO                               
051212,001692: 12,3671           77614                           SETGO                                          
051213,001693: 12,3672           04032                                    APSESW                                
051214,001694: 12,3673           25630                                    TERMNVEC                              
051215,001695: 

Page 1200

051217,001697: 12,3674           40220        APSIDES            STQ      SETPD                                 #                                PL AT 0
051218,001698: 12,3675           02710                                    RTNAPSE                               
051219,001699: 12,3676           00001                                    0D                                    
051220,001700: 12,3677           77600                           BOV                                            
051221,001701: 12,3700           25701                                    +1                                    
051222,001702: 12,3701           63375                           VLOAD    PDVL                                  #                                PL AT 6
051223,001703: 12,3702           02655                                    RVEC                                  
051224,001704: 12,3703           02744                                    VVEC                                  
051225,001705: 12,3704           77624                           CALL                                           
051226,001706: 12,3705           11064                                    PARAM                                 
051227,001707: 12,3706           77600                           BOV                                            #                                PL AT 0
051228,001708: 12,3707           25710                                    GETECC                                
051229,001709: 12,3710           42405        GETECC             DMP      SL4                                   
051230,001710: 12,3711           02742                                    R1A                                   
051231,001711: 12,3712           75421                           BDSU     SQRT                                  
051232,001712: 12,3713           11035                                    D1/64                                 
051233,001713: 12,3714           02752                           STORE    ECC                                   
051234,001714: 12,3715           65215                           DAD      PDDL                                  #                                PL AT 2
051235,001715: 12,3716           11031                                    D1/8                                  
051236,001716: 12,3717           00041                                    R1                                    
051237,001717: 12,3720           72405                           DMP      SL1                                   
051238,001718: 12,3721           02740                                    P                                     
051239,001719: 12,3722           77671                           DDV                                            #                                PL AT 0
051240,001720: 12,3723           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)            PL AT 2
051241,001721: 12,3724           02742                                    R1A                                   
051242,001722: 12,3725           00047                                    X1                                    
051243,001723: 12,3726           53725                           PDDL     SL*                                   #                                PL AT 4
051244,001724: 12,3727           00041                                    R1                                    
051245,001725: 12,3730           20174                                    0          -5,1                       
051246,001726: 12,3731           45271                           DDV      DSU                                   #                                PL AT 2,0
051247,001727: 12,3732           50000                           BOV      BMN                                   
051248,001728: 12,3733           25737                                    INFINAPO                              
051249,001729: 12,3734           25737                                    INFINAPO                              
051250,001730: 12,3735           77650                           GOTO                                           
051251,001731: 12,3736           02710                                    RTNAPSE                               
051252,001732: 12,3737           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
051253,001733: 12,3740           24020                                    LDPOSMAX                              
051254,001734: 12,3741           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
051255,001735: 

Page 1201

051257,001737: 12,3742           77776        ABTCONIC           EXIT                                           
051258,001738: 12,3743           05652                           TC       POODOO                                
051259,001739: 12,3744           00607                           OCT      00607                                 
051260,001740: 

Page 1202

051262,001742: 12,3745  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
051263,001743: 
051264,001744:                                                                                                  #  ERASABLE ASSIGNMENTS
051265,001745: 
051266,001746:                                                                                                  #  KEPLER SUBROUTINE
051267,001747: 
051268,001748:                                                                                                  #        INPUT -
051269,001749:                                                                                                  #  RRECT         ERASE   +5
051270,001750:                                                                                                  #  VRECT         ERASE   +5
051271,001751:                                                                                                  #  TAU.          ERASE   +1

Handwritten "NEW" next to XKEP.

051273,001753:                                                                                                  #  XKEP          ERASE   +1
051274,001754:                                                                                                  #  TC            ERASE   +1
051275,001755:                                                                                                  #  XPREV         ERASE   +1
051276,001756: 12,3745                        1/MU               EQUALS   14D                                   
051277,001757: 12,3745                        ROOTMU             EQUALS   16D                                   
051278,001758: 12,3745                        1/ROOTMU           EQUALS   18D                                   
051279,001759: 
051280,001760:                                                                                                  #        OUTPUT -
051281,001761:                                                                                                  #  RCV           ERASE   +5
051282,001762:                                                                                                  #  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.

051284,001764:                                                                                                  #  RC            ERASE   +1
051285,001765:                                                                                                  #  XPREV         ERASE   +1
051286,001766: 
051287,001767:                                                                                                  #        DEBRIS -
051288,001768: 12,3745                        ALPHA              EQUALS   8D                                    
051289,001769: 12,3745                        XMAX               EQUALS   10D                                   
051290,001770: 12,3745                        XMIN               EQUALS   12D                                   
051291,001771: 12,3745                        X                  EQUALS   20D                                   
051292,001772: 12,3745                        XI                 EQUALS   24D                                   
051293,001773: 12,3745                        S(XI)              EQUALS   26D                                   
051294,001774: 12,3745                        XSQC(XI)           EQUALS   28D                                   
051295,001775: 12,3745                        T                  EQUALS   30D                                   
051296,001776: 12,3745                        R1                 EQUALS   32D                                   
051297,001777: 12,3745                        KEPC1              EQUALS   34D                                   
051298,001778: 12,3745                        KEPC2              EQUALS   36D                                   
051299,001779:                                                                                                  #  DELX          ERASE   +1
051300,001780:                                                                                                  #  DELT          ERASE   +1
051301,001781:                                                                                                  #  URRECT        ERASE   +5
051302,001782:                                                                                                  #  RCNORM        ERASE   +1
051303,001783:                                                                                                  #  XPREV         EQUALS  XKEP
051304,001784: 
051305,001785: 
051306,001786:                                                                                                  #  LAMBERT SUBROUTINE
051307,001787: 
051308,001788:                                                                                                  #        INPUT -
051309,001789:                                                                                                  #  R1VEC         ERASE   +5
051310,001790:                                                                                                  #  R2VEC         ERASE   +5
051311,001791:                                                                                                  #  TDESIRED      ERASE   +1
051312,001792:                                                                                                  #  GEOMSGN       ERASE   +0
051313,001793:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT

Page 1203

051315,001795:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
051316,001796:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
051317,001797:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
051318,001798:                                                                                                  #  VTARGTAG      ERASE   +0
051319,001799:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
051320,001800: 
051321,001801:                                                                                                  #        OUTPUT -
051322,001802:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
051323,001803:                                                                                                  #  V1VEC         EQUALS  MPAC
051324,001804: 
051325,001805:                                                                                                  #        DEBRIS -
051326,001806:                                                                                                  #  RTNLAMB       ERASE   +0
051327,001807:                                                                                                  #  U2            ERASE   +5
051328,001808:                                                                                                  #  MAGVEC2       ERASE   +1
051329,001809:                                                                                                  #  UR1           ERASE   +5

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

051331,001811:                                                                                                  #  R1            EQUALS  31D
051332,001812:                                                                                                  #  UN            ERASE   +5
051333,001813:                                                                                                  #  SNTH          ERASE   +1
051334,001814:                                                                                                  #  CSTH          ERASE   +1
051335,001815:                                                                                                  #  1-CSTH        ERASE   +1
051336,001816:                                                                                                  #  CSTH-RHO      ERASE   +1
051337,001817: 12,3745                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
051338,001818: 12,3745                        COGAMIN            EQUALS   8D                                    
051339,001819: 12,3745                        DCOGA              EQUALS   12D                                   
051340,001820:                                                                                                  #  TWEEKIT       EQUALS  40D
051341,001821:                                                                                                  #  P             ERASE   +1
051342,001822:                                                                                                  #  COGA          ERASE   +1
051343,001823:                                                                                                  #  R1A           ERASE   +1
051344,001824:                                                                                                  #  X             EQUALS  20D
051345,001825:                                                                                                  #  XSQ           EQUALS  22D
051346,001826:                                                                                                  #  XI            EQUALS  24D
051347,001827:                                                                                                  #  S(XI)         EQUALS  26D
051348,001828:                                                                                                  #  XSQC(XI)      EQUALS  28D
051349,001829:                                                                                                  #  T             EQUALS  30D
051350,001830:                                                                                                  #  KEPC1         EQUALS  34D
051351,001831:                                                                                                  #  KEPC2         EQUALS  36D
051352,001832:                                                                                                  #  SLOPESW
051353,001833:                                                                                                  #  SOLNSW
051354,001834: 
051355,001835:                                                                                                  #        OTHERS -
051356,001836:                                                                                                  #  RVEC          EQUALS  R1VEC
051357,001837:                                                                                                  #  VVEC          ERASE   +5
051358,001838:                                                                                                  #  COGAFLAG
051359,001839:                                                                                                  #  RVSW
051360,001840:                                                                                                  #  INFINFLG
051361,001841:                                                                                                  #  APSESW
051362,001842:                                                                                                  #  360SW
051363,001843:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
051364,001844:                                                                                                  #  ECC           ERASE   +1
051365,001845:                                                                                                  #  RTNTR         EQUALS  RTNLAMB

Page 1204

051367,001847:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
051368,001848:                                                                                                  #  R2            EQUALS  MAGVEC2
051369,001849: 12,3745                        COSF               EQUALS   24D                                   
051370,001850:                                                                                                  #  RTNPRM        ERASE   +0
051371,001851:                                                                                                  #  SGNRDOT       ERASE   +0
051372,001852:                                                                                                  #  RDESIRED      ERASE   +1
051373,001853: 
051374,001854: 
051375,001855:                                                                                                  #  ITERATOR SUBROUTINE
051376,001856:                                                                                                  #  ORDERSW
051377,001857: 12,3745                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
051378,001858: 12,3745                        MIN                EQUALS   8D                                    

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

051380,001860:                                                                                                  #  INDEP         ERASE   +1
051381,001861: 12,3745                        DELINDEP           EQUALS   12D                                   
051382,001862: 12,3745                        ITERCTR            EQUALS   22D                                   
051383,001863: 12,3745                        DEP                EQUALS   30D                                   

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

051385,001865:                                                                                                  #  DELDEP        ERASE   +1

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

051387,001867:                                                                                                  #  DEPREV        ERASE   +1
051388,001868: 12,3745                        TWEEKIT            EQUALS   40D                                   
051389,001869: 
051390,001870: 
051391,001871:                                                                                                  #  MORE KEPLER
051392,001872:                                                                                                  #  EPSILONT      ERASE   +1
051393,001873: 
051394,001874: 
051395,001875:                                                                                                  #  MORE LAMBERT
051396,001876:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
051397,001877:                                                                                                  #  TPREV         EQUALS  DEPREV
051398,001878: 
051399,001879:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD

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