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
	16:27 JULY 14,1969
Note that the date is the date of the printout, not the date of the program revision.

049539,000002:                                                                                                  ## Copyright:   Public domain.
049540,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
049541,000004:                                                                                                  ## Purpose:     Part of the source code for Luminary 1A build 099.
049542,000005:                                                                                                  ##              It is part of the source code for the Lunar Module's (LM)
049543,000006:                                                                                                  ##              Apollo Guidance Computer (AGC), for Apollo 11.
049544,000007:                                                                                                  ##
049545,000008:                                                                                                  ## Assembler:   yaYUL
049546,000009:                                                                                                  ## Contact:     Jim Lawton <jim DOT lawton AT gmail.com>
049547,000010:                                                                                                  ## Website:     www.ibiblio.org/apollo.
049548,000011:                                                                                                  ## Pages:       1159-1204
049549,000012:                                                                                                  ## Mod history: 2009-05-28 JL   Started updating from page images.
049550,000013:                                                                                                  ##              2009-06-02 JL   Finished updating from page images.
049551,000014:                                                                                                  ##              2010-12-31 JL   Fixed page number comments.
049552,000015:                                                                                                  ##              2016-12-17 RSB  Proofed text comments with octopus/ProoferComments
049553,000016:                                                                                                  ##                              and corrected the errors found.
049554,000017:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH and WHCIH -> WHICH.
049555,000018:                                                                                                  ##              2017-03-14 RSB  Comment-text fixes noted in proofing Luminary 116.
049556,000019:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
049557,000020:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
049558,000021:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
049559,000022:                                                                                                  ##                              Luminary 99 vs Comanche 55.
049560,000023: 
049561,000024:                                                                                                  ## This source code has been transcribed or otherwise adapted from digitized
049562,000025:                                                                                                  ## images of a hardcopy from the MIT Museum.  The digitization was performed
049563,000026:                                                                                                  ## by Paul Fjeld, and arranged for by Deborah Douglas of the Museum.  Many
049564,000027:                                                                                                  ## thanks to both.  The images (with suitable reduction in storage size and
049565,000028:                                                                                                  ## consequent reduction in image quality as well) are available online at
049566,000029:                                                                                                  ## www.ibiblio.org/apollo.  If for some reason you find that the images are
049567,000030:                                                                                                  ## illegible, contact me at info@sandroid.org about getting access to the
049568,000031:                                                                                                  ## (much) higher-quality images which Paul actually created.
049569,000032:                                                                                                  ##
049570,000033:                                                                                                  ## Notations on the hardcopy document read, in part:
049571,000034:                                                                                                  ##
049572,000035:                                                                                                  ##    Assemble revision 001 of AGC program LMY99 by NASA 2021112-061
049573,000036:                                                                                                  ##    16:27 JULY 14, 1969
049574,000037: 

Page 1159

049576,000039:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
049577,000040:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
049578,000041:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
049579,000042: 
049580,000043:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049581,000044:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
049582,000045:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
049583,000046:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
049584,000047:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
049585,000048:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
049586,000049:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
049587,000050:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
049588,000051:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
049589,000052:                                                                                                  #  TINES APPROPRIATELY.
049590,000053: 
049591,000054:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
049592,000055:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
049593,000056:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
049594,000057: 
049595,000058:                                                                                                  #  RESTRICTIONS -
049596,000059:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
049597,000060:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
049598,000061:                                                                                                  #  TORIES COULD BE HANDLED.
049599,000062: 
049600,000063:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
049601,000064:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
049602,000065:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
049603,000066: 

Page 1160

049605,000068:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
049606,000069:                                                                                                  #  MOD NO. -1                                                    LOG SECTION - CONIC SUBROUTINES
049607,000070:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
049608,000071:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
049609,000072:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON:  SUPPRESSION OF X-MODULO-ING
049610,000073:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON:  CLEAR OVFIND AT KEPLER ENTRY
049611,000074: 
049612,000075:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049613,000076:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
049614,000077:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
049615,000078:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
049616,000079:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
049617,000080:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
049618,000081:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
049619,000082: 
049620,000083:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
049621,000084:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
049622,000085: 
049623,000086:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
049624,000087:                                                                                                  #   MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
049625,000088: 
049626,000089:                                                                                                  #  THE RESTRICTIONS ARE -
049627,000090:                                                                                                  #        1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
049628,000091:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
049629,000092:                                                                                                  #           ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049630,000093: 
049631,000094:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
049632,000095:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
049633,000096:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
049634,000097: 
049635,000098:                                                                                                  #  REFERENCES -
049636,000099:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
049637,000100:                                                                                                  #        MEMO 67-4.
049638,000101: 
049639,000102:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049640,000103:                                                                                                  #                        * SCALE FACTOR  *
049641,000104:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *               DESCRIPTION AND REMARKS
049642,000105:                                                                                                  #        --------        *-------------- *               -----------------------
049643,000106:                                                                                                  #        RRECT           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049644,000107:                                                                                                  #                        * +27 FOR MOON  *

Page 1161

049646,000109:                                                                                                  #        VRECT           * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049647,000110:                                                                                                  #                        * +5 FOR MOON   * 
049648,000111:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049649,000112:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
049650,000113:                                                                                                  #        TAU.            * +28           *       DESIRED TRANSFER TIME IN CENTISECONDS (DP)
049651,000114:                                                                                                  #                        *               *               MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
049652,000115:                                                                                                  #        XKEPNEW         * +17 FOR EARTH *       DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
049653,000116:                                                                                                  #                        * +16 FOR MOON  *               AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
049654,000117:                                                                                                  #                        *               *               MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
049655,000118:                                                                                                  #                        *               *               BY KEPLER TO A POOR BUT VALID GUESS.
049656,000119:                                                                                                  #        TC              * +28           *       DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
049657,000120:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
049658,000121:                                                                                                  #                        * +16 FOR MOON  *               ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
049659,000122: 
049660,000123:                                                                                                  #  SUBROUTINES CALLED -
049661,000124:                                                                                                  #        DELTIME
049662,000125: 
049663,000126:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049664,000127:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049665,000128:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
049666,000129:                                                                                                  #        KEPRTN          ...                     CONTINUE
049667,000130: 
049668,000131:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
049669,000132:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
049670,000133:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
049671,000134: 
049672,000135:                                                                                                  #  ABORT EXIT MODES -
049673,000136:                                                                                                  #        NONE
049674,000137: 
049675,000138:                                                                                                  #  OUTPUT -
049676,000139:                                                                                                  #                        * SCALE FACTOR  *
049677,000140:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049678,000141:                                                                                                  #        --------        *-------------- *       -----------------------
049679,000142:                                                                                                  #        RCV             * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS
049680,000143:                                                                                                  #                        * +27 FOR MOON  *
049681,000144:                                                                                                  #        VCV             * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
049682,000145:                                                                                                  #                        * +5 FOR MOON   *
049683,000146:                                                                                                  #        TC              * +28           *       DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
049684,000147:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
049685,000148:                                                                                                  #                        * +16 FOR MOON  *               CORRESPONDING TO ONE PERIOD.

Page 1162

049687,000150:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049688,000151: 
049689,000152:                                                                                                  #  DEBRIS -
049690,000153:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049691,000154:                                                                                                  #                        * SCALE FACTOR  *
049692,000155:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049693,000156:                                                                                                  #        --------        *-------------- *       -----------------------
049694,000157:                                                                                                  #        URRECT          * +1            *       DP UNIT VECTOR OF INITIAL POSITION
049695,000158:                                                                                                  #        R1              * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION IN METERS
049696,000159:                                                                                                  #                        * +27 FOR MOON  *
049697,000160:                                                                                                  #        ALPHA           * -22 FOR EARTH *       DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
049698,000161:                                                                                                  #                        * -20 FOR MOON  *
049699,000162:                                                                                                  #        TMODULO         * +28           *       DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
049700,000163:                                                                                                  #                        *               *       TAU. OF LESS THAN ONE PERIOD.
049701,000164: 
049702,000165:                                                                                                  #  PARAMETERS OF NO USE -
049703,000166:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
049704,000167: 

Page 1163

049706,000169: 
049707,000170:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
049708,000171:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
049709,000172:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
049710,000173: 
049711,000174:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049712,000175:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
049713,000176:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
049714,000177:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
049715,000178:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
049716,000179:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
049717,000180:                                                                                                  #  UTILIZED IN THE COMPUTATION.
049718,000181: 
049719,000182:                                                                                                  #  THE RESTRICTIONS ARE -
049720,000183:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
049721,000184:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
049722,000185:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049723,000186:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049724,000187:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
049725,000188:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
049726,000189:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049727,000190: 
049728,000191:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
049729,000192:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                 THE AGC COMPUTATION TIME IS APPROXIMATE-
049730,000193:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
049731,000194: 
049732,000195:                                                                                                  #  REFERENCES -
049733,000196:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
049734,000197:                                                                                                  #        SGA MEMO 67-4.
049735,000198: 
049736,000199:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049737,000200:                                                                                                  #  
049738,000201:                                                                                                  #                        * SCALE FACTOR  *
049739,000202:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049740,000203:                                                                                                  #        --------        *-------------- *       -----------------------
049741,000204:                                                                                                  #        R1VEC           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049742,000205:                                                                                                  #                        * +27 FOR MOON  *
049743,000206:                                                                                                  #        R2VEC           * +29 FOR EARTH *       DP TARGET OR TERMINAL POSITION VECTOR IN METERS
049744,000207:                                                                                                  #                        * +27 FOR MOON  *
049745,000208:                                                                                                  #        TDESIRED        * +28           *       DP DESIRED TRANSFER TIME IN CENTISECONDS
049746,000209:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049747,000210:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
049748,000211:                                                                                                  #        GEOMSGN         * NONE          *       SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
049749,000212:                                                                                                  #        GUESSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1164

049751,000214:                                                                                                  #                        *               *               COGA IS TO BE USED BY LAMBERT
049752,000215:                                                                                                  #        COGA            * +5            *       DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
049753,000216:                                                                                                  #                                        *       IGNORED IF GUESSW IS SET.
049754,000217:                                                                                                  #        NORMSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
049755,000218:                                                                                                  #                        *               *               LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
049756,000219:                                                                                                  #        UN              * +1            *       DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
049757,000220:                                                                                                  #                        *               *               MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
049758,000221:                                                                                                  #        VTARGTAG        * NONE          *       A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
049759,000222:                                                                                                  #                        *               *               AT R1VEC.
049760,000223:                                                                                                  #        ITERCTR         * NONE          *       A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
049761,000224:                                                                                                  #                        *               *               (AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
049762,000225:                                                                                                  #                        *               *               ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
049763,000226:                                                                                                  #                        *               *               TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
049764,000227: 
049765,000228:                                                                                                  #  SUBROUTINES CALLED -
049766,000229:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
049767,000230: 
049768,000231:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049769,000232:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049770,000233:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
049771,000234:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
049772,000235:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
049773,000236:                                                                                                  #        L+3             SOLNSW
049774,000237:                                                                                                  #        L+4             LAMABORT
049775,000238: 
049776,000239:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
049777,000240:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
049778,000241: 
049779,000242:                                                                                                  #  ABORT EXIT MODES -
049780,000243:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
049781,000244:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
049782,000245:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
049783,000246:                                                                                                  #  LAMABORT      DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
049784,000247:                                                                                                  #                        1-CSTH          360 DEGREES.
049785,000248:                                                                                                  #                DSU     BMN
049786,000249:                                                                                                  #                        ONEBIT
049787,000250:                                                                                                  #                        CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
049788,000251:                                                                                                  #                DLOAD   DAD
049789,000252:                                                                                                  #                        TDESIRED
049790,000253:                                                                                                  #                        SOMETIME
049791,000254:                                                                                                  #                STCALL  TDESIRED        INCREASE TDESIRED
049792,000255:                                                                                                  #                        LAMBERT
049793,000256: 

Page 1165

049795,000258:                                                                                                  #  OUTPUT -
049796,000259:                                                                                                  #                        * SCALE FACTOR  *
049797,000260:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049798,000261:                                                                                                  #        --------        *-------------- *       -----------------------
049799,000262:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
049800,000263:                                                                                                  #                        * +5 FOR MOON   *               PROBLEM.
049801,000264:                                                                                                  #        VTARGET         * +7 FOR EARTH  *       DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
049802,000265:                                                                                                  #                        * +5 FOR MOON   *
049803,000266:                                                                                                  #        SOLNSW          * NONE          *       INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
049804,000267:                                                                                                  #                        *               *               SOLUTION EXISTS.
049805,000268: 
049806,000269:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049807,000270: 
049808,000271:                                                                                                  #  DEBRIS -
049809,000272:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049810,000273: 
049811,000274:                                                                                                  #                        * SCALE FACTOR  *
049812,000275:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049813,000276:                                                                                                  #        --------        *-------------- *       -----------------------
049814,000277:                                                                                                  #        SNTH            * +1            *       DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
049815,000278:                                                                                                  #        CSTH            * +1            *       DP COSINE OF ANGLE
049816,000279:                                                                                                  #        1-CSTH          * +2            *       DP 1-CSTH
049817,000280:                                                                                                  #        COGA            * +5            *       DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
049818,000281:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
049819,000282:                                                                                                  #        R1A             * +6            *       DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
049820,000283:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP INITIAL RADIUS IN METERS
049821,000284:                                                                                                  #                        * +27 FOR MOON  *
049822,000285:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF R1VEC
049823,000286:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF R2VEC
049824,000287: 
049825,000288:                                                                                                  #        PARAMETERS OF NO USE
049826,000289:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
049827,000290:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
049828,000291: 

Page 1166

049830,000293:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
049831,000294:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
049832,000295:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
049833,000296: 
049834,000297:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049835,000298:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
049836,000299:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049837,000300:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049838,000301:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049839,000302:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049840,000303:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049841,000304: 
049842,000305:                                                                                                  #  THE RESTRICTIONS ARE -
049843,000306:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049844,000307:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049845,000308:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049846,000309:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049847,000310: 
049848,000311:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
049849,000312: 
049850,000313:                                                                                                  #  REFERENCES -
049851,000314:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049852,000315: 
049853,000316:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049854,000317:                                                                                                  #                        * SCALE FACTOR  *
049855,000318:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049856,000319:                                                                                                  #        --------        *-------------- *       -----------------------
049857,000320:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049858,000321:                                                                                                  #                        * +27 FOR MOON  *
049859,000322:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049860,000323:                                                                                                  #                        * +5 FOR MOON   *
049861,000324:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
049862,000325:                                                                                                  #        CSTH            * +1            *       DP COSINE OF THE ANGLE
049863,000326:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049864,000327:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
049865,000328:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049866,000329:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
049867,000330: 
049868,000331:                                                                                                  #  SUBROUTINES CALLED -

Page 1167

049870,000333:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
049871,000334: 
049872,000335:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049873,000336:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049874,000337:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049875,000338:                                                                                                  #        L+1             RVSW
049876,000339:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
049877,000340:                                                                                                  #        L+3     ...                     CONTINUE
049878,000341: 
049879,000342:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049880,000343:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049881,000344:                                                                                                  #        L+1             RVSW
049882,000345:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049883,000346:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
049884,000347:                                                                                                  #        L+3     STOVL   NEWVVEC
049885,000348:                                                                                                  #        L+4     STADR
049886,000349:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049887,000350:                                                                                                  #        L+6     ...                     CONTINUE
049888,000351: 
049889,000352:                                                                                                  #  ABORT EXIT MODES -
049890,000353:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
049891,000354:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
049892,000355: 
049893,000356:                                                                                                  #  OUTPUT -
049894,000357:                                                                                                  #                        * SCALE FACTOR  *
049895,000358:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049896,000359:                                                                                                  #        --------        *-------------- *       -----------------------
049897,000360:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
049898,000361:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
049899,000362:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049900,000363:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049901,000364:                                                                                                  #                        *               *               CLEAR IF NOT.
049902,000365: 
049903,000366:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
049904,000367:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049905,000368:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
049906,000369:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049907,000370:                                                                                                  #                        * +27 FOR MOON  *
049908,000371: 
049909,000372:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049910,000373: 

Page 1168

049912,000375:                                                                                                  #  DEBRIS -
049913,000376:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049914,000377:                                                                                                  #  
049915,000378:                                                                                                  #                        * SCALE FACTOR  *
049916,000379:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049917,000380:                                                                                                  #        --------        *-------------- *       -----------------------
049918,000381:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049919,000382:                                                                                                  #                        * +27 FOR MOON  *
049920,000383:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049921,000384:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
049922,000385:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049923,000386:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
049924,000387:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
049925,000388:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
049926,000389: 
049927,000390:                                                                                                  #        PARAMETERS OF NO USE -
049928,000391:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049929,000392:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049930,000393: 

Page 1169

049932,000395:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
049933,000396:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
049934,000397:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
049935,000398: 
049936,000399:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049937,000400: 
049938,000401:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
049939,000402:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049940,000403:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049941,000404:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049942,000405:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049943,000406:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049944,000407: 
049945,000408:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
049946,000409:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
049947,000410: 
049948,000411:                                                                                                  #  THE RESTRICTIONS ARE -
049949,000412:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049950,000413:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049951,000414:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049952,000415:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049953,000416:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
049954,000417:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
049955,000418:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
049956,000419: 
049957,000420:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
049958,000421: 
049959,000422:                                                                                                  #  REFERENCES -
049960,000423:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049961,000424: 
049962,000425:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049963,000426:                                                                                                  #                        * SCALE FACTOR  *
049964,000427:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049965,000428:                                                                                                  #        --------        *-------------- *       -----------------------
049966,000429:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049967,000430:                                                                                                  #                        * +27 FOR MOON  *
049968,000431:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049969,000432:                                                                                                  #                        * +5 FOR MOON   *
049970,000433:                                                                                                  #        RDESIRED        * +29 FOR EARTH *       DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
049971,000434:                                                                                                  #                        * +27 FOR MOON  *               COMPUTED.
049972,000435:                                                                                                  #        SGNRDOT         * NONE          *       SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
049973,000436:                                                                                                  #                        *               *               POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1170

049975,000438:                                                                                                  #                        *               *               SINGLE-VALUED PROBLEM.
049976,000439:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049977,000440:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
049978,000441:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049979,000442:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
049980,000443: 
049981,000444:                                                                                                  #  SUBROUTINES CALLED -
049982,000445:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
049983,000446: 
049984,000447:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049985,000448: 
049986,000449:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049987,000450:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049988,000451:                                                                                                  #        L+1             RVSW
049989,000452:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
049990,000453:                                                                                                  #        L+3     ...                     CONTINUE
049991,000454: 
049992,000455:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049993,000456:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049994,000457:                                                                                                  #        L+1             RVSW
049995,000458:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049996,000459:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
049997,000460:                                                                                                  #        L+3     STOVL   NEWVVEC
049998,000461:                                                                                                  #        L+4     STADR
049999,000462:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
050000,000463:                                                                                                  #        L+6     ...                     CONTINUE
050001,000464: 
050002,000465:                                                                                                  #  ABORT EXIT MODES -
050003,000466:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
050004,000467:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
050005,000468: 
050006,000469:                                                                                                  #  OUTPUT -
050007,000470:                                                                                                  #                        * SCALE FACTOR  *
050008,000471:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050009,000472:                                                                                                  #        --------        *-------------- *       -----------------------
050010,000473:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
050011,000474:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
050012,000475:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
050013,000476:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
050014,000477:                                                                                                  #                        *               *               CLEAR IF NOT.
050015,000478:                                                                                                  #        APSESW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1171

050017,000480:                                                                                                  #                        *               *               LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
050018,000481:                                                                                                  #                        *               *               WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
050019,000482:                                                                                                  #                        *               *               APOCENTER.
050020,000483:                                                                                                  #        SOLNSW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
050021,000484:                                                                                                  #                                        *               POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
050022,000485:                                                                                                  #                                        *               MINUS-18, THE SWITCH IS CLEAR.
050023,000486: 
050024,000487:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
050025,000488: 
050026,000489:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
050027,000490:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
050028,000491:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
050029,000492:                                                                                                  #                        * +27 FOR MOON  *
050030,000493: 
050031,000494:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050032,000495: 
050033,000496:                                                                                                  #  DEBRIS -
050034,000497:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
050035,000498: 
050036,000499:                                                                                                  #                        * SCALE FACTOR  *
050037,000500:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050038,000501:                                                                                                  #        --------        *-------------- *       -----------------------
050039,000502:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050040,000503:                                                                                                  #                        * +27 FOR MOON  *
050041,000504:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050042,000505:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
050043,000506:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050044,000507:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
050045,000508:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
050046,000509:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
050047,000510:                                                                                                  #        CSTH            * +1            *       DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
050048,000511:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE ANOMALY DIFFERENCE.
050049,000512: 
050050,000513:                                                                                                  #        PARAMETERS OF NO USE -
050051,000514:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
050052,000515:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
050053,000516: 
050054,000517: 

Page 1172

050056,000519:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
050057,000520:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
050058,000521:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
050059,000522: 
050060,000523:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050061,000524: 
050062,000525:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
050063,000526:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
050064,000527:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
050065,000528:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
050066,000529:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
050067,000530: 
050068,000531:                                                                                                  #  THE RESTRICTIONS ARE -
050069,000532:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
050070,000533:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
050071,000534:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
050072,000535:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050073,000536: 
050074,000537:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
050075,000538: 
050076,000539:                                                                                                  #  REFERENCES -
050077,000540:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
050078,000541: 
050079,000542:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050080,000543:                                                                                                  #                        * SCALE FACTOR  *
050081,000544:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050082,000545:                                                                                                  #        --------        *-------------- *       -----------------------
050083,000546:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
050084,000547:                                                                                                  #                        * +27 FOR MOON  *
050085,000548:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050086,000549:                                                                                                  #                        * +5 FOR MOON   *
050087,000550:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050088,000551:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
050089,000552: 
050090,000553:                                                                                                  #  SUBROUTINES CALLED -
050091,000554:                                                                                                  #        PARAM, GEOM
050092,000555: 
050093,000556:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1173

050095,000558:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
050096,000559:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050097,000560:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
050098,000561:                                                                                                  #        L+2     STODL   APOAPSE
050099,000562:                                                                                                  #        L+3             0D
050100,000563:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
050101,000564:                                                                                                  #        L+5     ...                     CONTINUE
050102,000565: 
050103,000566:                                                                                                  #  OUTPUT -
050104,000567:                                                                                                  #                        * SCALE FACTOR  *
050105,000568:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050106,000569:                                                                                                  #        --------        *-------------- *       -----------------------
050107,000570:                                                                                                  #        MPAC            * +29 FOR EARTH *       DP RADIUS OF APOCENTER IN METERS
050108,000571:                                                                                                  #                        * +27 FOR MOON  *
050109,000572:                                                                                                  #        0D-1D           * +29 FOR EARTH *       DP RADIUS OF PERICENTER IN METERS
050110,000573:                                                                                                  #                        * +27 FOR MOON  *
050111,000574:                                                                                                  #        ECC             * +3            *       DP ECCENTRICITY OF CONIC TRAJECTORY.
050112,000575: 
050113,000576:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050114,000577: 
050115,000578:                                                                                                  #  DEBRIS -
050116,000579: 
050117,000580:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
050118,000581: 
050119,000582:                                                                                                  #                        * SCALE FACTOR  *
050120,000583:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050121,000584:                                                                                                  #        --------        *-------------- *       -----------------------
050122,000585:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050123,000586:                                                                                                  #                        * +27 FOR MOON  *
050124,000587:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050125,000588:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
050126,000589:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050127,000590:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
050128,000591:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
050129,000592:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
050130,000593:                                                                                                  #        MAGVEC2         * +7 FOR EARTH  *       DP MAGNITUDE OF VVEC
050131,000594:                                                                                                  #                        * +5 FOR MOON   *
050132,000595: 
050133,000596:                                                                                                  #        PARAMETERS OF NO USE -
050134,000597:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
050135,000598:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
050136,000599: 
050137,000600: 12,2000                                           SETLOC   CONICS                                

Page 1174

050139,000602: 12,2000                                           BANK                                           
050140,000603: 
050141,000604: 12,2023                                           COUNT*   $$/CONIC                              
050142,000605: 12,2023  E5,1721                                  EBANK=   UR1                                   
050143,000606: 12,2023           40001        KEPLERN            SETPD    BOV                                   
050144,000607: 12,2024           00001                                    0                                     
050145,000608: 12,2025           24026                                    +1                                    
050146,000609: 12,2026           77773                           VLOAD*                                         
050147,000610: 12,2027           10005                                    MUTABLE,1                             
050148,000611: 12,2030           24017                           STOVL    14D                                   
050149,000612: 12,2031           01503                                    RRECT                                 
050150,000613: 12,2032           66256                           UNIT     SSP                                   
050151,000614: 12,2033           00027                                    ITERCTR                               
050152,000615: 12,2034           00024                                    20D                                   
050153,000616: 12,2035           16647                           STODL    URRECT                                
050154,000617: 12,2036           00045                                    36D                                   
050155,000618: 12,2037           24041                           STOVL    R1                                    
050156,000619: 12,2040           01503                                    RRECT                                 
050157,000620: 12,2041           76441                           DOT      SL1R                                  
050158,000621: 12,2042           01511                                    VRECT                                 
050159,000622: 12,2043           76405                           DMP      SL1R                                  
050160,000623: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
050161,000624: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
050162,000625: 12,2046           01511                                    VRECT                                 
050163,000626: 12,2047           57236                           VSQ      DMPR                                  
050164,000627: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
050165,000628: 12,2051           52405                           DMP      SL3                                   
050166,000629: 12,2052           00041                                    R1                                    
050167,000630: 12,2053           61425                           DSU      ROUND                                 
050168,000631: 12,2054           11035                                    D1/64                                 
050169,000632: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
050170,000633: 
050171,000634: 12,2056           74421                           BDSU     SR1R                                  
050172,000635: 12,2057           11035                                    D1/64                                 
050173,000636: 12,2060           77671                           DDV                                            
050174,000637: 12,2061           00041                                    R1                                    
050175,000638: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
050176,000639: 
050177,000640: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
050178,000641: 12,2064           24073                                    1REV                                  
050179,000642: 12,2065           11053                                    -50SC                                 #  -50SC (+12)
050180,000643: 12,2066           40071                           DDV      BOV                                   
050181,000644: 12,2067           00011                                    ALPHA                                 
050182,000645: 12,2070           24077                                    STOREMAX                              
050183,000646: 12,2071           52166                           SQRT     GOTO                                  
050184,000647: 12,2072           24077                                    STOREMAX                              
050185,000648: 
050186,000649: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1175

050188,000651: 12,2074           11055                                    2PISC                                 #  2PISC (+6)
050189,000652: 12,2075           77600                           BOV                                            
050190,000653: 12,2076           24077                                    STOREMAX                              
050191,000654: 12,2077           00013        STOREMAX           STORE    XMAX                                  
050192,000655: 12,2100           65205                           DMP      PDDL                                  
050193,000656: 12,2101           00023                                    1/ROOTMU                              
050194,000657: 12,2102           00011                                    ALPHA                                 
050195,000658: 12,2103           65301                           NORM     PDDL                                  
050196,000659: 12,2104           00047                                    X1                                    
050197,000660: 12,2105           56257                           SL*      DDV                                   
050198,000661: 12,2106           20173                                    0          -6,1                       
050199,000662: 12,2107           50000                           BOV      BMN                                   
050200,000663: 12,2110           24124                                    MODDONE                               
050201,000664: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
050202,000665: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
050203,000666: 12,2113           02074                                    TAU.                                  
050204,000667: 12,2114           50025                           DSU      BMN                                   
050205,000668: 12,2115           00001                                    0D                                    
050206,000669: 12,2116           24124                                    MODDONE                               
050207,000670: 12,2117           77765                           SIGN                                           
050208,000671: 12,2120           02074                                    TAU.                                  
050209,000672: 12,2121           16074                           STODL    TAU.                                  
050210,000673: 12,2122           77650                           GOTO                                           
050211,000674: 12,2123           24112                                    PERIODCH                              
050212,000675: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
050213,000676: 12,2125           00001                                    0                                     
050214,000677: 12,2126           02130                                    XKEPNEW                               
050215,000678: 12,2127           00025                           STORE    X                                     
050216,000679: 12,2130           53165                           SIGN     BZE                                   
050217,000680: 12,2131           02074                                    TAU.                                  
050218,000681: 12,2132           24302                                    BADX                                  
050219,000682: 12,2133           51440                           BMN      ABS                                   
050220,000683: 12,2134           24302                                    BADX                                  
050221,000684: 12,2135           51025                           DSU      BPL                                   
050222,000685: 12,2136           00013                                    XMAX                                  
050223,000686: 12,2137           24302                                    BADX                                  
050224,000687: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
050225,000688: 12,2141           02074                                    TAU.                                  
050226,000689: 12,2142           24152                                    STOREMIN                              
050227,000690: 12,2143           57545                           DLOAD    DCOMP                                 
050228,000691: 12,2144           00013                                    XMAX                                  
050229,000692: 12,2145           14015                           STODL    XMIN                                  
050230,000693: 12,2146           24007                                    KEPZERO                               
050231,000694: 12,2147           00013                           STORE    XMAX                                  
050232,000695: 12,2150           77650                           GOTO                                           
050233,000696: 12,2151           24155                                    DXCOMP                                
050234,000697: 12,2152           77745        STOREMIN           DLOAD                                          
050235,000698: 12,2153           24007                                    KEPZERO                               
050236,000699: 12,2154           00015                           STORE    XMIN                                  
050237,000700: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1176

050239,000702: 12,2156           02074                                    TAU.                                  
050240,000703: 12,2157           11046                                    BEE22                                 
050241,000704: 12,2160           77646                           ABS                                            
050242,000705: 12,2161           16177                           STODL    EPSILONT                              
050243,000706: 12,2162           01553                                    XPREV                                 
050244,000707: 12,2163           77621        XDIFF              BDSU                                           
050245,000708: 12,2164           00025                                    X                                     
050246,000709: 12,2165           02643                           STORE    DELX                                  
050247,000710: 
050248,000711: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
050249,000712: 12,2167           00025                                    X                                     #  X=XKEP
050250,000713: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
050251,000714: 12,2171           00047                                    X1                                    
050252,000715: 12,2172           53605                           DMP      SRR*                                  
050253,000716: 12,2173           00011                                    ALPHA                                 
050254,000717: 12,2174           21573                                    0          -6,1                       
050255,000718: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
050256,000719: 12,2176           24421                                    DELTIME                               
050257,000720: 12,2177           44200                           BOV      BDSU                                  
050258,000721: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
050259,000722: 12,2201           02074                                    TAU.                                  
050260,000723: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
050261,000724: 12,2203           44246                           ABS      BDSU                                  
050262,000725: 12,2204           02177                                    EPSILONT                              
050263,000726: 12,2205           71244                           BPL      DLOAD                                 
050264,000727: 12,2206           24333                                    KEPCONVG                              
050265,000728: 12,2207           00037                                    T                                     
050266,000729: 12,2210           60225                           DSU      NORM                                  
050267,000730: 12,2211           01551                                    TC                                    
050268,000731: 12,2212           00047                                    X1                                    
050269,000732: 12,2213           60325                           PDDL     NORM                                  
050270,000733: 12,2214           02643                                    DELX                                  
050271,000734: 12,2215           00050                                    X2                                    
050272,000735: 12,2216           41260                           XSU,1    DMP                                   
050273,000736: 12,2217           00047                                    X2                                    
050274,000737: 12,2220           02645                                    DELT                                  
050275,000738: 12,2221           56257                           SLR*     DDV                                   
050276,000739: 12,2222           21202                                    1,1                                   
050277,000740: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
050278,000741: 12,2224           71244                           BPL      DLOAD                                 
050279,000742: 12,2225           24246                                    POSDELX                               
050280,000743: 12,2226           00025                                    X                                     
050281,000744: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
050282,000745: 12,2230           45221                           BDSU     DSU                                   #                        PL AT 0
050283,000746: 12,2231           00015                                    XMIN                                  
050284,000747: 12,2232           51000                           BOV      BPL                                   
050285,000748: 12,2233           24240                                    NDXCHNGE                              
050286,000749: 12,2234           24240                                    NDXCHNGE                              
050287,000750: 12,2235           52145                           DLOAD    GOTO                                  

Page 1177

050289,000752: 12,2236           00001                                    0D                                    
050290,000753: 12,2237           24260                                    NEWDELX                               
050291,000754: 
050292,000755: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
050293,000756: 12,2241           00015                                    XMIN                                  
050294,000757: 12,2242           00025                                    X                                     
050295,000758: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
050296,000759: 12,2244           11051                                    DP9/10                                
050297,000760: 12,2245           24260                                    NEWDELX                               
050298,000761: 
050299,000762: 12,2246           77745        POSDELX            DLOAD                                          
050300,000763: 12,2247           00025                                    X                                     
050301,000764: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
050302,000765: 12,2251           45221                           BDSU     DSU                                   #                        PL AT 0
050303,000766: 12,2252           00013                                    XMAX                                  
050304,000767: 12,2253           50000                           BOV      BMN                                   
050305,000768: 12,2254           24274                                    PDXCHNGE                              
050306,000769: 12,2255           24274                                    PDXCHNGE                              
050307,000770: 12,2256           77745                           DLOAD                                          
050308,000771: 12,2257           00001                                    0D                                    
050309,000772: 12,2260           02643        NEWDELX            STORE    DELX                                  
050310,000773: 12,2261           43254                           BZE      DAD                                   
050311,000774: 12,2262           24333                                    KEPCONVG                              
050312,000775: 12,2263           00025                                    X                                     
050313,000776: 12,2264           14025                           STODL    X                                     
050314,000777: 12,2265           00037                                    T                                     
050315,000778: 12,2266           01551                           STORE    TC                                    
050316,000779: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
050317,000780: 12,2270           24644                                    CHECKCTR                              
050318,000781: 12,2271           24333                                    KEPCONVG                              
050319,000782: 12,2272           77650                           GOTO                                           
050320,000783: 12,2273           24166                                    KEPLOOP                               #  ITERATE
050321,000784: 
050322,000785: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
050323,000786: 12,2275           00013                                    XMAX                                  
050324,000787: 12,2276           00025                                    X                                     
050325,000788: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
050326,000789: 12,2300           11051                                    DP9/10                                
050327,000790: 12,2301           24260                                    NEWDELX                               
050328,000791: 
050329,000792: 12,2302           70545        BADX               DLOAD    SR1                                   
050330,000793: 12,2303           00013                                    XMAX                                  
050331,000794: 12,2304           77765                           SIGN                                           
050332,000795: 12,2305           02074                                    TAU.                                  
050333,000796: 12,2306           00025                           STORE    X                                     
050334,000797: 12,2307           77650                           GOTO                                           

Page 1178

050336,000799: 12,2310           24140                                    STORBNDS                              
050337,000800: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
050338,000801: 12,2312           00025                                    X                                     
050339,000802: 12,2313           24330                                    NEGTOVFL                              
050340,000803: 12,2314           00013                           STORE    XMAX                                  
050341,000804: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
050342,000805: 12,2316           02643                                    DELX                                  
050343,000806: 12,2317           02643                           STORE    DELX                                  
050344,000807: 12,2320           44254                           BZE      BDSU                                  
050345,000808: 12,2321           02112                                    KEPRTN                                
050346,000809: 12,2322           00025                                    X                                     
050347,000810: 12,2323           14025                           STODL    X                                     
050348,000811: 12,2324           01551                                    TC                                    
050349,000812: 12,2325           00037                           STORE    T                                     
050350,000813: 12,2326           77650                           GOTO                                           
050351,000814: 12,2327           24267                                    BRNCHCTR                              
050352,000815: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
050353,000816: 12,2331           77650                           GOTO                                           
050354,000817: 12,2332           24315                                    CMNTOVFL                              
050355,000818: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
050356,000819: 12,2334           00041                                    R1                                    
050357,000820: 12,2335           74225                           DSU      VXSC                                  
050358,000821: 12,2336           00035                                    XSQC(XI)                              
050359,000822: 12,2337           02647                                    URRECT                                
050360,000823: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
050361,000824: 12,2341           00025                                    X                                     
050362,000825: 12,2342           60316                           DSQ      NORM                                  
050363,000826: 12,2343           00047                                    X1                                    
050364,000827: 12,2344           57275                           DMPR     DMPR                                  
050365,000828: 12,2345           00023                                    1/ROOTMU                              
050366,000829: 12,2346           00025                                    X                                     
050367,000830: 12,2347           53605                           DMP      SRR*                                  
050368,000831: 12,2350           00033                                    S(XI)                                 
050369,000832: 12,2351           21572                                    0          -7,1                       
050370,000833: 12,2352           77621                           BDSU                                           
050371,000834: 12,2353           00037                                    T                                     
050372,000835: 12,2354           74352                           SL1      VXSC                                  
050373,000836: 12,2355           01511                                    VRECT                                 
050374,000837: 12,2356           53372                           VSL1     VAD                                   #                                PL AT 0
050375,000838: 12,2357           77712                           VSL4                                           
050376,000839: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
050377,000840: 
050378,000841: 12,2361           60246                           ABVAL    NORM                                  
050379,000842: 12,2362           00050                                    X2                                    
050380,000843: 12,2363           14043                           STODL    RCNORM                                
050381,000844: 12,2364           00031                                    XI                                    
050382,000845: 12,2365           45275                           DMPR     DSU                                   
050383,000846: 12,2366           00033                                    S(XI)                                 
050384,000847: 12,2367           11033                                    D1/128                                

Page 1179

050386,000849: 12,2370           76405                           DMP      SL1R                                  
050387,000850: 12,2371           00021                                    ROOTMU                                
050388,000851: 12,2372           53605                           DMP      SLR*                                  
050389,000852: 12,2373           00025                                    X                                     
050390,000853: 12,2374           56601                                    0          -3,2                       
050391,000854: 12,2375           74271                           DDV      VXSC                                  
050392,000855: 12,2376           00043                                    RCNORM                                
050393,000856: 12,2377           02647                                    URRECT                                
050394,000857: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
050395,000858: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
050396,000859: 12,2402           56257                           SLR*     DDV                                   
050397,000860: 12,2403           56602                                    0          -4,2                       
050398,000861: 12,2404           00043                                    RCNORM                                
050399,000862: 12,2405           74221                           BDSU     VXSC                                  
050400,000863: 12,2406           11047                                    D1/256                                
050401,000864: 12,2407           01511                                    VRECT                                 
050402,000865: 12,2410           42455                           VAD      VSL8                                  
050403,000866: 12,2411           77626                           STADR                                          #                                PL AT 0
050404,000867: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
050405,000868: 12,2413           00037                                    T                                     
050406,000869: 12,2414           15551                           STODL    TC                                    
050407,000870: 12,2415           00025                                    X                                     
050408,000871: 12,2416           01553                           STORE    XPREV                                 
050409,000872: 12,2417           77650                           GOTO                                           
050410,000873: 12,2420           02112                                    KEPRTN                                
050411,000874: 

Page 1180

050413,000876: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
050414,000877: 12,2422           07222                           TC       POLY                                  
050415,000878: 12,2423           00010                           DEC      8          B-14                       
050416,000879: 12,2424           02525 12526                     2DEC     .083333334                            
050417,000880: 12,2426           67356 75666                     2DEC     -.266666684                            
050418,000881: 12,2430           15001 23771                     2DEC     .406349155                            
050419,000882: 12,2432           64342 43674                     2DEC     -.361198675                            
050420,000883: 12,2434           06563 04645                     2DEC     .210153242                            
050421,000884: 12,2436           75173 52672                     2DEC     -.086221951                            
050422,000885: 12,2440           00656 14331                     2DEC     .026268812                            
050423,000886: 12,2442           77633 40512                     2DEC     -.006163316                            
050424,000887: 12,2444           00023 11210                     2DEC     .001177342                            
050425,000888: 12,2446           77774 67506                     2DEC     -.000199055                            
050426,000889: 
050427,000890: 12,2450           06037                           TC       INTPRET                               
050428,000891: 12,2451           14033                           STODL    S(XI)                                 
050429,000892: 12,2452           00031                                    XI                                    
050430,000893: 12,2453           77776                           EXIT                                           
050431,000894: 12,2454           07222                           TC       POLY                                  
050432,000895: 12,2455           00010                           DEC      8          B-14                       
050433,000896: 12,2456           01000 00000                     2DEC     .031250001                            
050434,000897: 12,2460           72525 52506                     2DEC     -.166666719                            
050435,000898: 12,2462           13301 15337                     2DEC     .355555413                            
050436,000899: 12,2464           62776 54733                     2DEC     -.406347410                            
050437,000900: 12,2466           11176 13267                     2DEC     .288962094                            
050438,000901: 12,2470           73410 51674                     2DEC     -.140117894                            
050439,000902: 12,2472           01446 33641                     2DEC     .049247387                            
050440,000903: 12,2474           77451 65233                     2DEC     -.013081923                            
050441,000904: 12,2476           00055 37266                     2DEC     .002806389                            
050442,000905: 12,2500           77767 52336                     2DEC     -.000529414                            
050443,000906: 12,2502           06037                           TC       INTPRET                               

Page 1181

050445,000908: 12,2503           53605                           DMP      SRR*                                  #                                PL AT 0
050446,000909: 12,2504           00001                                    0D                                    
050447,000910: 12,2505           21574                                    0          -5,1                       
050448,000911: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
050449,000912: 12,2507           72405                           DMP      SL1                                   
050450,000913: 12,2510           00043                                    KEPC1                                 
050451,000914: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
050452,000915: 12,2512           21633                                    TPMODE                                #                                PL AT 0,3
050453,000916: 12,2513           53605                           DMP      SRR*                                  
050454,000917: 12,2514           00033                                    S(XI)                                 
050455,000918: 12,2515           21574                                    0          -5,1                       
050456,000919: 12,2516           72405                           DMP      SL1                                   
050457,000920: 12,2517           00045                                    KEPC2                                 
050458,000921: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
050459,000922: 12,2521           21633                                    TPMODE                                
050460,000923: 12,2522           00041                                    R1                                    
050461,000924: 12,2523           76261                           SR       TAD                                   #                                PL AT 3
050462,000925: 12,2524           20607                                    6                                     
050463,000926: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
050464,000927: 12,2526           00047                                    X1                                    
050465,000928: 12,2527           00025                                    X                                     
050466,000929: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
050467,000930: 12,2531           20576                                    0          -3,1                       
050468,000931: 12,2532           57232                           SL4R     DMPR                                  
050469,000932: 12,2533           00023                                    1/ROOTMU                              
050470,000933: 12,2534           00037                           STORE    T                                     
050471,000934: 12,2535           77616                           RVQ                                            
050472,000935: 

Page 1182

050474,000937: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
050475,000938: 12,2537           00614                                    SLOPESW                               
050476,000939: 12,2540           24606                                    FIRSTIME                              
050477,000940: 12,2541           00037                                    DEP                                   
050478,000941: 12,2542           60225                           DSU      NORM                                  
050479,000942: 12,2543           02762                                    DEPREV                                
050480,000943: 12,2544           00047                                    X1                                    
050481,000944: 12,2545           60325                           PDDL     NORM                                  
050482,000945: 12,2546           00015                                    DELINDEP                              
050483,000946: 12,2547           00050                                    X2                                    
050484,000947: 12,2550           41260                           XSU,1    DMP                                   
050485,000948: 12,2551           00047                                    X2                                    
050486,000949: 12,2552           02760                                    DELDEP                                
050487,000950: 12,2553           56257                           SLR*     DDV                                   #                                PL UP 2
050488,000951: 12,2554           21202                                    1,1                                   
050489,000952: 12,2555           43142                           SR1      BOFF                                  
050490,000953: 12,2556           04351                                    ORDERSW                               
050491,000954: 12,2557           24562                                    SGNCHECK                              
050492,000955: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
050493,000956: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
050494,000957: 
050495,000958: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
050496,000959: 12,2563           24620                                    POSDEL                                
050497,000960: 12,2564           43145                           DLOAD    BON                                   
050498,000961: 12,2565           02766                                    INDEP                                 
050499,000962: 12,2566           04311                                    ORDERSW                               
050500,000963: 12,2567           24571                                    MINCHECK                              
050501,000964: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
050502,000965: 
050503,000966: 12,2571           45221        MINCHECK           BDSU     DSU                                   
050504,000967: 12,2572           00011                                    MIN                                   
050505,000968: 12,2573           51000                           BOV      BPL                                   
050506,000969: 12,2574           24600                                    MODNGDEL                              
050507,000970: 12,2575           24600                                    MODNGDEL                              
050508,000971: 12,2576           77650                           GOTO                                           
050509,000972: 12,2577           24632                                    DELOK                                 
050510,000973: 
050511,000974: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
050512,000975: 12,2601           00011                                    MIN                                   
050513,000976: 12,2602           02766                                    INDEP                                 
050514,000977: 12,2603           52005                           DMP      GOTO                                  
050515,000978: 12,2604           11051                                    DP9/10                                
050516,000979: 12,2605           24634                                    NEWDEL                                
050517,000980: 
050518,000981: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
050519,000982: 12,2607           00011                                    MIN                                   
050520,000983: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
050521,000984: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1183

050523,000986: 12,2612           00017                                    MAX                                   
050524,000987: 12,2613           00051                                    TWEEKIT                               
050525,000988: 12,2614           77625                           DSU                                            
050526,000989: 12,2615           52165                           SIGN     GOTO                                  
050527,000990: 12,2616           02760                                    DELDEP                                
050528,000991: 12,2617           24562                                    SGNCHECK                              
050529,000992: 
050530,000993: 12,2620           43145        POSDEL             DLOAD    BON                                   
050531,000994: 12,2621           02766                                    INDEP                                 
050532,000995: 12,2622           04311                                    ORDERSW                               
050533,000996: 12,2623           24625                                    MAXCHECK                              
050534,000997: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
050535,000998: 
050536,000999: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
050537,001000: 12,2626           00017                                    MAX                                   
050538,001001: 12,2627           50000                           BOV      BMN                                   
050539,001002: 12,2630           24636                                    MODPSDEL                              
050540,001003: 12,2631           24636                                    MODPSDEL                              
050541,001004: 12,2632           77745        DELOK              DLOAD                                          
050542,001005: 12,2633           00001                                    0D                                    
050543,001006: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
050544,001007: 12,2635           77616                           RVQ                                            
050545,001008: 
050546,001009: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
050547,001010: 12,2637           00017                                    MAX                                   
050548,001011: 12,2640           02766                                    INDEP                                 
050549,001012: 12,2641           52005                           DMP      GOTO                                  
050550,001013: 12,2642           11051                                    DP9/10                                
050551,001014: 12,2643           24634                                    NEWDEL                                
050552,001015: 
050553,001016: 12,2644           44753        CHECKCTR           CS       ONE                                   
050554,001017: 12,2645           50120                           INDEX    FIXLOC                                
050555,001018: 12,2646           60026                           AD       ITERCTR                               
050556,001019: 12,2647           50120                           INDEX    FIXLOC                                
050557,001020: 12,2650           54026                           TS       ITERCTR                               
050558,001021: 12,2651           54154                           TS       MPAC                                  
050559,001022: 12,2652           06061                           TC       DANZIG                                
050560,001023: 

Page 1184

050562,001025: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
050563,001026: 12,2654           00041                                    R1                                    
050564,001027: 12,2655           74225                           DSU      VXSC                                  
050565,001028: 12,2656           00035                                    XSQC(XI)                              
050566,001029: 12,2657           02722                                    UR1                                   
050567,001030: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
050568,001031: 12,2661           00025                                    X                                     
050569,001032: 12,2662           60316                           DSQ      NORM                                  
050570,001033: 12,2663           00047                                    X1                                    
050571,001034: 12,2664           57275                           DMPR     DMPR                                  
050572,001035: 12,2665           00023                                    1/ROOTMU                              
050573,001036: 12,2666           00025                                    X                                     
050574,001037: 12,2667           53605                           DMP      SRR*                                  
050575,001038: 12,2670           00033                                    S(XI)                                 
050576,001039: 12,2671           21572                                    0          -7,1                       
050577,001040: 12,2672           77621                           BDSU                                           
050578,001041: 12,2673           00037                                    T                                     
050579,001042: 12,2674           74352                           SL1      VXSC                                  
050580,001043: 12,2675           02744                                    VVEC                                  
050581,001044: 12,2676           53372                           VSL1     VAD                                   #                                PL AT 0
050582,001045: 12,2677           41512                           VSL4     PUSH                                  
050583,001046: 12,2700           77646                           ABVAL                                          
050584,001047: 12,2701           77701        LAMENTER           NORM                                           
050585,001048: 12,2702           00047                                    X1                                    
050586,001049: 12,2703           16720                           STODL    R2                                    
050587,001050: 12,2704           00031                                    XI                                    
050588,001051: 12,2705           45205                           DMP      DSU                                   
050589,001052: 12,2706           00033                                    S(XI)                                 
050590,001053: 12,2707           11033                                    D1/128                                
050591,001054: 12,2710           76405                           DMP      SL1R                                  
050592,001055: 12,2711           00021                                    ROOTMU                                
050593,001056: 12,2712           53605                           DMP      SLR*                                  
050594,001057: 12,2713           00025                                    X                                     
050595,001058: 12,2714           21176                                    0          -3,1                       
050596,001059: 12,2715           74271                           DDV      VXSC                                  
050597,001060: 12,2716           02720                                    R2                                    
050598,001061: 12,2717           02722                                    UR1                                   
050599,001062: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
050600,001063: 12,2721           00035                                    XSQC(XI)                              
050601,001064: 12,2722           56257                           SLR*     DDV                                   
050602,001065: 12,2723           21175                                    0          -4,1                       
050603,001066: 12,2724           02720                                    R2                                    
050604,001067: 12,2725           77621                           BDSU                                           
050605,001068: 12,2726           11047                                    D1/256                                
050606,001069: 12,2727           53361                           VXSC     VAD                                   #                                PL AT 6
050607,001070: 12,2730           02744                                    VVEC                                  
050608,001071: 12,2731           43412                           VSL8     RVQ                                   
050609,001072: 

Page 1185

050611,001074: 04,2000                                           SETLOC   CONICS1                               
050612,001075: 04,2000                                           BANK                                           
050613,001076: 
050614,001077: 04,3027                                           COUNT*   $$/CONIC                              
050615,001078:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
050616,001079: 04,3027           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
050617,001080: 04,3030           04000 00000  D1/8               2DEC     1.0        B-3                        
050618,001081: 04,3032           00200 00000  D1/128             2DEC     1.0        B-7                        
050619,001082: 04,3034           00400 00000  D1/64              2DEC     1.0        B-6                        
050620,001083: 04,3036           10000 00000  D1/4               2DEC     1.0        B-2                        
050621,001084: 04,3040           02000 00000  D1/16              2DEC     1.0        B-4                        
050622,001085: 04,3042           01000 00000  D1/32              2DEC     1.0        B-5                        
050623,001086: 04,3044           00020 00000  D1/1024            2DEC     1.0        B-10                       
050624,001087: 04,3046           00100 00000  D1/256             2DEC     1.0        B-8                        
050625,001088: 04,3050           34631 23146  DP9/10             2DEC     .9                                    
050626,001089: 04,3052  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
050627,001090: 04,3052           77467 77777  -50SC              2DEC     -50.0      B-12                       
050628,001091: 04,3054           03110 17665  2PISC              2DEC     6.28318530 B-6                        
050629,001092: 04,3056  04,3041               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
050630,001093: 04,3056  04,3045               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
050631,001094: 04,3056           00000 00001  ONEBIT             2DEC     1.0        B-28                       
050632,001095: 04,3060           37767 37737  COGUPLIM           2DEC     .999511597                            
050633,001096: 04,3062           40010 40040  COGLOLIM           2DEC     -.999511597                            
050634,001097: 

Page 1186

050636,001099: 12,2000                                           SETLOC   CONICS                                
050637,001100: 12,2000                                           BANK                                           
050638,001101: 
050639,001102: 12,2732                                           COUNT*   $$/CONIC                              
050640,001103: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
050641,001104: 12,2733           02710                                    RTNTT                                 
050642,001105: 12,2734           00001                                    0                                     
050643,001106: 12,2735           77600                           BOV                                            
050644,001107: 12,2736           24737                                    +1                                    
050645,001108: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
050646,001109: 12,2740           02655                                    RVEC                                  
050647,001110: 12,2741           02744                                    VVEC                                  
050648,001111: 12,2742           77624                           CALL                                           
050649,001112: 12,2743           11064                                    PARAM                                 
050650,001113: 12,2744           45000                           BOV      CALL                                  #                                PL AT 0
050651,001114: 12,2745           24764                                    COGAOVFL                              
050652,001115: 12,2746           24767                                    GETX                                  
050653,001116: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
050654,001117: 12,2750           00031                                    XI                                    
050655,001118: 12,2751           04310                                    INFINFLG                              
050656,001119: 12,2752           25742                                    ABTCONIC                              
050657,001120: 12,2753           45014                           CLEAR    CALL                                  
050658,001121: 12,2754           04273                                    COGAFLAG                              
050659,001122: 12,2755           24421                                    DELTIME                               
050660,001123: 12,2756           45014                           BON      CALL                                  
050661,001124: 12,2757           03706                                    RVSW                                  
050662,001125: 12,2760           02710                                    RTNTT                                 
050663,001126: 12,2761           24653                                    NEWSTATE                              
050664,001127: 12,2762           77650                           GOTO                                           
050665,001128: 12,2763           02710                                    RTNTT                                 
050666,001129: 
050667,001130: 12,2764           77614        COGAOVFL           SETGO                                          
050668,001131: 12,2765           04033                                    COGAFLAG                              
050669,001132: 12,2766           25742                                    ABTCONIC                              
050670,001133: 
050671,001134: 04,3064                                           BANK     4                                     
050672,001135: 04,2000                                           SETLOC   CONICS1                               
050673,001136: 04,2000                                           BANK                                           
050674,001137: 04,3064                                           COUNT*   $$/CONIC                              
050675,001138: 04,3064           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
050676,001139: 04,3065           02753                                    RTNPRM                                
050677,001140: 04,3066           03665                                    NORMSW                                
050678,001141: 04,3067           77614                           CLEAR                                          
050679,001142: 04,3070           04273                                    COGAFLAG                              
050680,001143: 04,3071           45131                           SSP      CALL                                  
050681,001144: 04,3072           02673                                    GEOMSGN                               
050682,001145: 04,3073           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
050683,001146: 04,3074           11130                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
050684,001147: 04,3075           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0
050685,001148: 04,3076           56261                           SR       DDV                                   

Page 1187

050687,001150: 04,3077           20606                                    5                                     
050688,001151: 04,3100           00045                                    36D                                   
050689,001152: 04,3101           32766                           STOVL*   COGA                                  
050690,001153: 04,3102           10005                                    MUTABLE,1                             
050691,001154: 04,3103           14017                           STODL    1/MU                                  
050692,001155: 04,3104           02720                                    MAGVEC2                               
050693,001156: 04,3105           60316                           DSQ      NORM                                  
050694,001157: 04,3106           00047                                    X1                                    
050695,001158: 04,3107           41275                           DMPR     DMP                                   
050696,001159: 04,3110           00017                                    1/MU                                  
050697,001160: 04,3111           00041                                    R1                                    
050698,001161: 04,3112           77657                           SRR*                                           
050699,001162: 04,3113           21576                                    0          -3,1                       
050700,001163: 04,3114           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
050701,001164: 04,3115           11043                                    D1/32                                 
050702,001165: 04,3116           16742                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
050703,001166: 
050704,001167: 04,3117           60205                           DMP      NORM                                  
050705,001168: 04,3120           00045                                    36D                                   
050706,001169: 04,3121           00047                                    X1                                    
050707,001170: 04,3122           53605                           DMP      SR*                                   
050708,001171: 04,3123           00045                                    36D                                   
050709,001172: 04,3124           20575                                    0          -4,1                       
050710,001173: 04,3125           02740                           STORE    P                                     #  P (+4)
050711,001174: 04,3126           77650                           GOTO                                           
050712,001175: 04,3127           02753                                    RTNPRM                                
050713,001176: 

Page 1188

050715,001178: 04,3130           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
050716,001179: 04,3131           16712                           STODL    U2                                    #  U2 (+1)
050717,001180: 04,3132           00045                                    36D                                   
050718,001181: 04,3133           26720                           STOVL    MAGVEC2                               #                                PL AT 0
050719,001182: 04,3134           77656                           UNIT                                           
050720,001183: 04,3135           02722                           STORE    UR1                                   #  UR1 (+1)
050721,001184: 04,3136           72441                           DOT      SL1                                   
050722,001185: 04,3137           02712                                    U2                                    
050723,001186: 04,3140           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
050724,001187: 04,3141           00045                                    36D                                   
050725,001188: 04,3142           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
050726,001189: 04,3143           02722                                    UR1                                   
050727,001190: 04,3144           76435                           VXV      VSL1                                  
050728,001191: 04,3145           02712                                    U2                                    
050729,001192: 04,3146           75214                           BON      SIGN                                  
050730,001193: 04,3147           03705                                    NORMSW                                
050731,001194: 04,3150           11162                                    HAVENORM                              
050732,001195: 04,3151           02673                                    GEOMSGN                               
050733,001196: 04,3152           40056                           UNIT     BOV                                   
050734,001197: 04,3153           11160                                    COLINEAR                              
050735,001198: 04,3154           16674        UNITNORM           STODL    UN                                    #  UN (+1)
050736,001199: 04,3155           00045                                    36D                                   
050737,001200: 04,3156           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
050738,001201: 04,3157           02673                                    GEOMSGN                               
050739,001202: 
050740,001203: 04,3160           52162        COLINEAR           VSR1     GOTO                                  
050741,001204: 04,3161           11154                                    UNITNORM                              
050742,001205: 
050743,001206: 04,3162           75246        HAVENORM           ABVAL    SIGN                                  
050744,001207: 04,3163           02673                                    GEOMSGN                               
050745,001208: 04,3164           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
050746,001209: 

Page 1189

050748,001211: 12,2767                                           BANK     12                                    
050749,001212: 12,2000                                           SETLOC   CONICS                                
050750,001213: 12,2000                                           BANK                                           
050751,001214: 
050752,001215: 12,2767                                           COUNT*   $$/CONIC                              
050753,001216: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
050754,001217: 12,2770           00003                                    3                                     
050755,001218: 12,2771           00052                                    S2                                    
050756,001219: 12,2772           00001                                    1                                     
050757,001220: 12,2773           77614                           CLEAR                                          
050758,001221: 12,2774           04276                                    360SW                                 
050759,001222: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
050760,001223: 12,2776           02732                                    CSTH                                  
050761,001224: 12,2777           44342                           SR1      BDSU                                  
050762,001225: 12,3000           11037                                    D1/4                                  
050763,001226: 12,3001           54325                           PDDL     SRR                                   #                                PL AT 4D
050764,001227: 12,3002           02730                                    SNTH                                  
050765,001228: 12,3003           21607                                    6                                     
050766,001229: 12,3004           77671                           DDV                                            #                                PL AT 2
050767,001230: 12,3005           77600                           BOV                                            
050768,001231: 12,3006           25122                                    360CHECK                              
050769,001232: 12,3007           41225                           DSU      DMP                                   
050770,001233: 12,3010           02766                                    COGA                                  #                                PL AT 0
050771,001234: 12,3011           40132                           SL2R     BOV                                   
050772,001235: 12,3012           25122                                    360CHECK                              
050773,001236: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
050774,001237: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
050775,001238: 12,3015           00155                                    MPAC                                  
050776,001239: 12,3016           02742                                    R1A                                   
050777,001240: 12,3017           76202                           SR4      TAD                                   #                                PL AT 2
050778,001241: 12,3020           75440                           BMN      SQRT                                  
050779,001242: 12,3021           25205                                    INFINITY                              
050780,001243: 12,3022           43306                           ROUND    DAD                                   #                                PL AT 0D
050781,001244: 12,3023           61000                           BOV      TIX,2                                 
050782,001245: 12,3024           25120                                    RESETX2                               
050783,001246: 12,3025           25013                                    WLOOP                                 
050784,001247: 
050785,001248: 12,3026           40065                           BDDV     BOV                                   
050786,001249: 12,3027           11033                                    D1/128                                
050787,001250: 12,3030           25205                                    INFINITY                              
050788,001251: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
050789,001252: 12,3032           25205                                    INFINITY                              
050790,001253: 12,3033           77716                           DSQ                                            
050791,001254: 12,3034           41301                           NORM     DMP                                   
050792,001255: 12,3035           00047                                    X1                                    
050793,001256: 12,3036           02742                                    R1A                                   
050794,001257: 12,3037           77457                           SRR*     EXIT                                  
050795,001258: 12,3040           21567                                    0          -10D,1                     
050796,001259: 12,3041           07222                           TC       POLY                                  

Page 1190

050798,001261: 12,3042           00005                           DEC      5          B-14                       
050799,001262: 12,3043           20000 00000                     2DEC     .5                                    
050800,001263: 12,3045           72525 52471                     2DEC     -.166666770                            
050801,001264: 12,3047           03146 15003                     2DEC     .100000392                            
050802,001265: 12,3051           75556 45210                     2DEC     -.071401086                            
050803,001266: 12,3053           01615 13553                     2DEC     .055503292                            
050804,001267: 12,3055           76371 63777                     2DEC     -.047264098                            
050805,001268: 12,3057           01232 27367                     2DEC     .040694204                            
050806,001269: 
050807,001270: 12,3061           06037                           TC       INTPRET                               
050808,001271: 12,3062           76405                           DMP      SL1R                                  #                                PL AT 0D
050809,001272: 12,3063           43006                           PUSH     BON                                   
050810,001273: 12,3064           04316                                    360SW                                 
050811,001274: 12,3065           25172                                    TRUE360X                              
050812,001275: 12,3066           60316        XCOMMON            DSQ      NORM                                  
050813,001276: 12,3067           00047                                    X1                                    
050814,001277: 12,3070           53605                           DMP      SRR*                                  
050815,001278: 12,3071           02742                                    R1A                                   
050816,001279: 12,3072           21565                                    0          -12D,1                     
050817,001280: 12,3073           14031                           STODL    XI                                    #  XI (+6)
050818,001281: 12,3074           00041                                    R1                                    
050819,001282: 12,3075           75542                           SR1      SQRT                                  
050820,001283: 12,3076           41306                           ROUND    DMP                                   
050821,001284: 12,3077           77632                           SL4R                                           #                                PL AT 0
050822,001285: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
050823,001286: 
050824,001287: 12,3101           60316                           DSQ      NORM                                  
050825,001288: 12,3102           00047                                    X1                                    
050826,001289: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
050827,001290: 12,3104           02740                                    P                                     
050828,001291: 12,3105           00041                                    R1                                    
050829,001292: 12,3106           75452                           SL3      SQRT                                  
050830,001293: 12,3107           56405                           DMP      SL3R                                  
050831,001294: 12,3110           02766                                    COGA                                  
050832,001295: 12,3111           14043                           STODL    KEPC1                                 
050833,001296: 12,3112           02742                                    R1A                                   
050834,001297: 12,3113           43021                           BDSU     CLEAR                                 
050835,001298: 12,3114           11035                                    D1/64                                 
050836,001299: 12,3115           04270                                    INFINFLG                              
050837,001300: 12,3116           00045                           STORE    KEPC2                                 
050838,001301: 12,3117           77616                           RVQ                                            
050839,001302: 

Page 1191

050841,001304: 12,3120           77774        RESETX2            AXT,2                                          
050842,001305: 12,3121           00003                                    3                                     
050843,001306: 
050844,001307: 12,3122           51001        360CHECK           SETPD    BPL                                   
050845,001308: 12,3123           00001                                    0D                                    
050846,001309: 12,3124           25127                                    INVRSEQN                              
050847,001310: 12,3125           77614                           SET                                            
050848,001311: 12,3126           04076                                    360SW                                 
050849,001312: 
050850,001313: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
050851,001314: 12,3130           02740                                    P                                     
050852,001315: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
050853,001316: 12,3132           02730                                    SNTH                                  
050854,001317: 12,3133           02766                                    COGA                                  
050855,001318: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
050856,001319: 12,3135           02732                                    CSTH                                  
050857,001320: 12,3136           43202                           SR4      DAD                                   
050858,001321: 12,3137           11043                                    D1/32                                 
050859,001322: 12,3140           41225                           DSU      DMP                                   #                                PL AT 2,0
050860,001323: 12,3141           55301                           NORM     BDDV                                  
050861,001324: 12,3142           00047                                    X1                                    
050862,001325: 12,3143           02730                                    SNTH                                  
050863,001326: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
050864,001327: 12,3145           21174                                    0          -5,1                       
050865,001328: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
050866,001329: 12,3147           14043                           STODL    34D                                   
050867,001330: 12,3150           11041                                    D1/16                                 
050868,001331: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
050869,001332: 12,3152           65234                           RTB      PDDL                                  #                                PL AT 7
050870,001333: 12,3153           21633                                    TPMODE                                
050871,001334: 12,3154           02742                                    R1A                                   
050872,001335: 12,3155           40405                           DMP      SR4                                   
050873,001336: 12,3156           00043                                    34D                                   
050874,001337: 12,3157           77771                           TAD                                            #                                PL AT 4
050875,001338: 12,3160           75440                           BMN      SQRT                                  
050876,001339: 12,3161           25205                                    INFINITY                              
050877,001340: 12,3162           77615                           DAD                                            #                                PL AT 2
050878,001341: 12,3163           60304                           TIX,2    NORM                                  
050879,001342: 12,3164           25151                                    1/WLOOP                               
050880,001343: 12,3165           00047                                    X1                                    
050881,001344: 12,3166           77665                           BDDV                                           
050882,001345: 12,3167           52057                           SLR*     GOTO                                  #                                PL AT 0
050883,001346: 12,3170           21172                                    0          -7,1                       
050884,001347: 12,3171           25031                                    POLYCOEF                              
050885,001348: 
050886,001349: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
050887,001350: 12,3173           02742                                    R1A                                   

Page 1192

050889,001352: 12,3174           25205                                    INFINITY                              
050890,001353: 12,3175           60366                           SQRT     NORM                                  
050891,001354: 12,3176           00047                                    X1                                    
050892,001355: 12,3177           53665                           BDDV     SL*                                   
050893,001356: 12,3200           11055                                    2PISC                                 
050894,001357: 12,3201           20176                                    0          -3,1                       
050895,001358: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
050896,001359: 12,3203           77650                           GOTO                                           
050897,001360: 12,3204           25066                                    XCOMMON                               
050898,001361: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
050899,001362: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
050900,001363: 12,3207           25210                                    OVFLCLR                               
050901,001364: 12,3210           43414        OVFLCLR            SET      RVQ                                   
050902,001365: 12,3211           04070                                    INFINFLG                              
050903,001366: 

Page 1193

050905,001368: 12,3212           40220        LAMBERT            STQ      SETPD                                 
050906,001369: 12,3213           02710                                    RTNLAMB                               
050907,001370: 12,3214           00001                                    0D                                    
050908,001371: 12,3215           77600                           BOV                                            
050909,001372: 12,3216           25217                                    +1                                    
050910,001373: 12,3217           76614                           CLEAR    VLOAD*                                
050911,001374: 12,3220           02674                                    SOLNSW                                
050912,001375: 12,3221           10005                                    MUTABLE,1                             
050913,001376: 12,3222           14017                           STODL    1/MU                                  
050914,001377: 12,3223           02671                                    TDESIRED                              
050915,001378: 12,3224           77675                           DMPR                                           
050916,001379: 12,3225           11042                                    BEE19                                 
050917,001380: 12,3226           02764                           STORE    EPSILONL                              
050918,001381: 12,3227           77214                           SET      VLOAD                                 
050919,001382: 12,3230           00474                                    SLOPESW                               
050920,001383: 12,3231           02655                                    R1VEC                                 
050921,001384: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
050922,001385: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
050923,001386: 12,3234           11130                                    GEOM                                  
050924,001387: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
050925,001388: 12,3236           02720                                    MAGVEC2                               
050926,001389: 12,3237           65301                           NORM     PDDL                                  #                                PL AT 4
050927,001390: 12,3240           00047                                    X1                                    
050928,001391: 12,3241           00041                                    R1                                    
050929,001392: 12,3242           56342                           SR1      DDV                                   #                                PL AT 2
050930,001393: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
050931,001394: 12,3244           20173                                    0          -6,1                       
050932,001395: 12,3245           77626                           STADR                                          
050933,001396: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
050934,001397: 12,3247           44342                           SR1      BDSU                                  
050935,001398: 12,3250           11037                                    D1/4                                  
050936,001399: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
050937,001400: 
050938,001401: 12,3252           53106                           ROUND    BZE                                   
050939,001402: 12,3253           25463                                    360LAMB                               
050940,001403: 12,3254           65301                           NORM     PDDL                                  #                                PL AT 4
050941,001404: 12,3255           00047                                    X1                                    
050942,001405: 12,3256           00001                                    0D                                    
050943,001406: 12,3257           56342                           SR1      DDV                                   #                                PL AT 2
050944,001407: 12,3260           75457                           SL*      SQRT                                  
050945,001408: 12,3261           20176                                    0          -3,1                       
050946,001409: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
050947,001410: 12,3263           02730                                    SNTH                                  
050948,001411: 12,3264           20607                                    6                                     
050949,001412: 12,3265           43271                           DDV      DAD                                   #                                PL AT 2
050950,001413: 12,3266           02734                                    1-CSTH                                
050951,001414: 12,3267           77626                           STADR                                          
050952,001415: 12,3270           77760                           STORE    COGAMAX                               
050953,001416: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
050954,001417: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1194

050956,001419: 12,3273           25302                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
050957,001420: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
050958,001421: 12,3275           11061                                    COGUPLIM                              
050959,001422: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
050960,001423: 12,3277           77745        UPLIM              DLOAD                                          
050961,001424: 12,3300           11061                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
050962,001425: 12,3301           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
050963,001426: 12,3302           77745        MAXCOGA            DLOAD                                          
050964,001427: 12,3303           02732                                    CSTH                                  
050965,001428: 12,3304           45261                           SR       DSU                                   #                                PL AT 0
050966,001429: 12,3305           20607                                    6                                     
050967,001430: 12,3306           77626                           STADR                                          
050968,001431: 12,3307           61041                           STODL    CSTH-RHO                              
050969,001432: 12,3310           02673                                    GEOMSGN                               
050970,001433: 12,3311           71240                           BMN      DLOAD                                 
050971,001434: 12,3312           25503                                    LOLIM                                 
050972,001435: 12,3313           02736                                    CSTH-RHO                              
050973,001436: 12,3314           56352                           SL1      DDV                                   
050974,001437: 12,3315           02730                                    SNTH                                  
050975,001438: 12,3316           77600                           BOV                                            
050976,001439: 12,3317           25503                                    LOLIM                                 
050977,001440: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
050978,001441: 12,3321           66214                           BON      SSP                                   
050979,001442: 12,3322           00715                                    GUESSW                                
050980,001443: 12,3323           25467                                    NOGUESS                               
050981,001444: 12,3324           00051                                    TWEEKIT                               
050982,001445: 12,3325           00001                                    00001                                 
050983,001446: 12,3326           77745                           DLOAD                                          
050984,001447: 12,3327           02766                                    COGA                                  
050985,001448: 
050986,001449: 12,3330           77605        LAMBLOOP           DMP                                            
050987,001450: 12,3331           02730                                    SNTH                                  
050988,001451: 12,3332           45342                           SR1      DSU                                   
050989,001452: 12,3333           02736                                    CSTH-RHO                              
050990,001453: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
050991,001454: 12,3335           00047                                    X1                                    
050992,001455: 12,3336           02734                                    1-CSTH                                
050993,001456: 12,3337           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
050994,001457: 12,3340           20170                                    0          -9D,1                      
050995,001458: 12,3341           53040                           BMN      BZE                                   
050996,001459: 12,3342           25417                                    NEGP                                  
050997,001460: 12,3343           25417                                    NEGP                                  
050998,001461: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
050999,001462: 12,3345           02766                                    COGA                                  
051000,001463: 12,3346           43316                           DSQ      DAD                                   
051001,001464: 12,3347           11045                                    D1/1024                               
051002,001465: 12,3350           41301                           NORM     DMP                                   
051003,001466: 12,3351           00047                                    X1                                    
051004,001467: 12,3352           02740                                    P                                     

Page 1195

051006,001469: 12,3353           44257                           SR*      BDSU                                  
051007,001470: 12,3354           20571                                    0          -8D,1                      
051008,001471: 12,3355           11043                                    D1/32                                 
051009,001472: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
051010,001473: 12,3357           02740                                    P                                     
051011,001474: 12,3360           45000                           BOV      CALL                                  
051012,001475: 12,3361           25422                                    HIENERGY                              
051013,001476: 12,3362           24767                                    GETX                                  
051014,001477: 12,3363           77745                           DLOAD                                          
051015,001478: 12,3364           00037                                    T                                     
051016,001479: 12,3365           16762                           STODL    TPREV                                 
051017,001480: 12,3366           00031                                    XI                                    
051018,001481: 12,3367           45014                           BON      CALL                                  
051019,001482: 12,3370           04310                                    INFINFLG                              
051020,001483: 12,3371           25417                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
051021,001484: 12,3372           24421                                    DELTIME                               
051022,001485: 12,3373           44200                           BOV      BDSU                                  
051023,001486: 12,3374           25437                                    BIGTIME                               
051024,001487: 12,3375           02671                                    TDESIRED                              
051025,001488: 12,3376           02760                           STORE    TERRLAMB                              
051026,001489: 12,3377           44246                           ABS      BDSU                                  
051027,001490: 12,3400           02764                                    EPSILONL                              
051028,001491: 12,3401           47044                           BPL      RTB                                   
051029,001492: 12,3402           25506                                    INITV                                 
051030,001493: 12,3403           24644                                    CHECKCTR                              
051031,001494: 12,3404           45030                           BHIZ     CALL                                  
051032,001495: 12,3405           25450                                    SUFFCHEK                              
051033,001496: 12,3406           24536                                    ITERATOR                              
051034,001497: 12,3407           53145                           DLOAD    BZE                                   
051035,001498: 12,3410           00155                                    MPAC                                  
051036,001499: 12,3411           25450                                    SUFFCHEK                              
051037,001500: 12,3412           77615                           DAD                                            
051038,001501: 12,3413           02766                                    COGA                                  
051039,001502: 12,3414           02766                           STORE    COGA                                  
051040,001503: 12,3415           77650                           GOTO                                           
051041,001504: 12,3416           25330                                    LAMBLOOP                              
051042,001505: 
051043,001506: 12,3417           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
051044,001507: 12,3420           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
051045,001508: 12,3421           25442                                    LOENERGY                              
051046,001509: 
051047,001510: 12,3422           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
051048,001511: 12,3423           00001                                    0                                     
051049,001512: 12,3424           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
051050,001513: 12,3425           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
051051,001514: 12,3426           70545        COMMONLM           DLOAD    SR1                                   
051052,001515: 12,3427           00015                                    DCOGA                                 

Page 1196

051054,001517: 12,3430           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
051055,001518: 12,3431           44254                           BZE      BDSU                                  
051056,001519: 12,3432           25450                                    SUFFCHEK                              
051057,001520: 12,3433           02766                                    COGA                                  
051058,001521: 12,3434           02766                           STORE    COGA                                  
051059,001522: 12,3435           77650                           GOTO                                           #  RESTART THIS LOOP
051060,001523: 12,3436           25330                                    LAMBLOOP                              
051061,001524: 
051062,001525: 12,3437           77745        BIGTIME            DLOAD                                          
051063,001526: 12,3440           02762                                    TPREV                                 
051064,001527: 12,3441           00037                           STORE    T                                     
051065,001528: 
051066,001529: 12,3442           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
051067,001530: 12,3443           00001                                    0                                     
051068,001531: 12,3444           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
051069,001532: 12,3445           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
051070,001533: 12,3446           77650                           GOTO                                           
051071,001534: 12,3447           25426                                    COMMONLM                              
051072,001535: 
051073,001536: 12,3450           51545        SUFFCHEK           DLOAD    ABS                                   
051074,001537: 12,3451           02760                                    TERRLAMB                              
051075,001538: 12,3452           41325                           PDDL     DMP                                   #                                PL AT 2D
051076,001539: 12,3453           02671                                    TDESIRED                              
051077,001540: 12,3454           11030                                    BEE17                                 
051078,001541: 12,3455           45215                           DAD      DSU                                   #                                PL AT 0D
051079,001542: 12,3456           11057                                    ONEBIT                                
051080,001543: 12,3457           43044                           BPL      SETGO                                 
051081,001544: 12,3460           25506                                    INITV                                 
051082,001545: 12,3461           02434                                    SOLNSW                                
051083,001546: 12,3462           25506                                    INITV                                 
051084,001547: 12,3463           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
051085,001548: 12,3464           00001                                    0                                     
051086,001549: 12,3465           02434                                    SOLNSW                                
051087,001550: 12,3466           02710                                    RTNLAMB                               
051088,001551: 
051089,001552: 12,3467           71331        NOGUESS            SSP      DLOAD                                 
051090,001553: 12,3470           00051                                    TWEEKIT                               
051091,001554: 12,3471           10000                                    20000                                 
051092,001555: 12,3472           00011                                    COGAMIN                               
051093,001556: 12,3473           65342                           SR1      PDDL                                  #                                PL AT 2
051094,001557: 12,3474           00017                                    COGAMAX                               
051095,001558: 12,3475           43342                           SR1      DAD                                   
051096,001559: 12,3476           77626                           STADR                                          #                                PL AT 0
051097,001560: 12,3477           75011                           STORE    COGA                                  
051098,001561: 12,3500           00015                           STORE    DCOGA                                 
051099,001562: 12,3501           77650                           GOTO                                           

Page 1197

051101,001564: 12,3502           25330                                    LAMBLOOP                              
051102,001565: 
051103,001566: 12,3503           52145        LOLIM              DLOAD    GOTO                                  
051104,001567: 12,3504           11063                                    COGLOLIM                              #  COGLOLIM=-.999511597
051105,001568: 12,3505           25320                                    MINCOGA                               
051106,001569: 
051107,001570: 12,3506           60345        INITV              DLOAD    NORM                                  
051108,001571: 12,3507           00041                                    R1                                    
051109,001572: 12,3510           00047                                    X1                                    
051110,001573: 12,3511           70525                           PDDL     SR1                                   #                                PL AT 2
051111,001574: 12,3512           02740                                    P                                     
051112,001575: 12,3513           77671                           DDV                                            #                                PL AT 0
051113,001576: 12,3514           75457                           SL*      SQRT                                  
051114,001577: 12,3515           20175                                    0          -4,1                       
051115,001578: 12,3516           72405                           DMP      SL1                                   
051116,001579: 12,3517           00021                                    ROOTMU                                
051117,001580: 12,3520           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
051118,001581: 12,3521           02766                                    COGA                                  
051119,001582: 12,3522           74261                           SL       VXSC                                  
051120,001583: 12,3523           20206                                    5                                     
051121,001584: 12,3524           02722                                    UR1                                   
051122,001585: 12,3525           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
051123,001586: 12,3526           76561                           VXSC     VSL1                                  
051124,001587: 12,3527           02674                                    UN                                    
051125,001588: 12,3530           53235                           VXV      VAD                                   #                                PL AT 0
051126,001589: 12,3531           02722                                    UR1                                   
051127,001590: 12,3532           77772                           VSL1                                           
051128,001591: 12,3533           02744                           STORE    VVEC                                  
051129,001592: 12,3534           53135                           SLOAD    BZE                                   
051130,001593: 12,3535           02702                                    VTARGTAG                              
051131,001594: 12,3536           25541                                    TARGETV                               
051132,001595: 12,3537           77650                           GOTO                                           
051133,001596: 12,3540           02710                                    RTNLAMB                               
051134,001597: 
051135,001598: 12,3541           45145        TARGETV            DLOAD    CALL                                  
051136,001599: 12,3542           02720                                    MAGVEC2                               
051137,001600: 12,3543           24701                                    LAMENTER                              
051138,001601: 12,3544           02703                           STORE    VTARGET                               
051139,001602: 12,3545           77650                           GOTO                                           
051140,001603: 12,3546           02710                                    RTNLAMB                               
051141,001604: 

Page 1198

051143,001606: 12,3547           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
051144,001607: 12,3550           02710                                    RTNTR                                 
051145,001608: 12,3551           00001                                    0                                     
051146,001609: 12,3552           77600                           BOV                                            
051147,001610: 12,3553           25554                                    +1                                    
051148,001611: 12,3554           63375                           VLOAD    PDVL                                  #                                PL AT 6
051149,001612: 12,3555           02655                                    RVEC                                  
051150,001613: 12,3556           02744                                    VVEC                                  
051151,001614: 12,3557           77624                           CALL                                           
051152,001615: 12,3560           11064                                    PARAM                                 
051153,001616: 12,3561           71200                           BOV      DLOAD                                 #                                PL AT 0
051154,001617: 12,3562           24764                                    COGAOVFL                              
051155,001618: 12,3563           11043                                    D1/32                                 
051156,001619: 12,3564           41225                           DSU      DMP                                   
051157,001620: 12,3565           02742                                    R1A                                   
051158,001621: 12,3566           02740                                    P                                     
051159,001622: 12,3567           41366                           SQRT     DMP                                   
051160,001623: 12,3570           02766                                    COGA                                  
051161,001624: 12,3571           74212                           SL4      VXSC                                  
051162,001625: 12,3572           02712                                    U2                                    
051163,001626: 12,3573           45325                           PDDL     DSU                                   #                                PL AT 6
051164,001627: 12,3574           11035                                    D1/64                                 
051165,001628: 12,3575           02742                                    R1A                                   
051166,001629: 12,3576           52361                           VXSC     VSU                                   #                                PL AT 0
051167,001630: 12,3577           02722                                    UR1                                   
051168,001631: 12,3600           53512                           VSL4     UNIT                                  
051169,001632: 12,3601           77600                           BOV                                            
051170,001633: 12,3602           25660                                    CIRCULAR                              
051171,001634: 12,3603           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
051172,001635: 12,3604           02756                                    RDESIRED                              #  36D=ECC (+3)
051173,001636: 12,3605           00047                                    X1                                    
051174,001637: 12,3606           41325                           PDDL     DMP                                   #                                PL AT 8
051175,001638: 12,3607           00041                                    R1                                    
051176,001639: 12,3610           02740                                    P                                     
051177,001640: 12,3611           56257                           SL*      DDV                                   #                                PL AT 6
051178,001641: 12,3612           20201                                    0,1                                   
051179,001642: 12,3613           56225                           DSU      DDV                                   
051180,001643: 12,3614           11041                                    D1/16                                 
051181,001644: 12,3615           00045                                    36D                                   #  36D=ECC (+3)
051182,001645: 12,3616           00031                           STORE    COSF                                  
051183,001646: 12,3617           63400                           BOV      DSQ                                   
051184,001647: 12,3620           25664                                    BADR2                                 
051185,001648: 12,3621           50021                           BDSU     BMN                                   
051186,001649: 12,3622           11037                                    D1/4                                  
051187,001650: 12,3623           25664                                    BADR2                                 
051188,001651: 12,3624           75366                           SQRT     SIGN                                  
051189,001652: 12,3625           02755                                    SGNRDOT                               
051190,001653: 12,3626           77614                           CLEAR                                          
051191,001654: 12,3627           04272                                    APSESW                                

Page 1199

051193,001656: 12,3630           76561        TERMNVEC           VXSC     VSL1                                  
051194,001657: 12,3631           02674                                    UN                                    
051195,001658: 12,3632           63235                           VXV      PDVL                                  #  VXCH WITH 0D                  PL AT 0,6
051196,001659: 12,3633           00001                                    0D                                    
051197,001660: 12,3634           53361                           VXSC     VAD                                   #                                PL AT 0
051198,001661: 12,3635           00031                                    COSF                                  
051199,001662: 12,3636           41572                           VSL1     PUSH                                  #  0D=U2                         PL AT 6
051200,001663: 
051201,001664: 12,3637           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
051202,001665: 12,3640           02722                                    UR1                                   
051203,001666: 12,3641           25756                                    DP1/4                                 
051204,001667: 12,3642           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
051205,001668: 12,3643           25644                                    +1                                    #  CLEAR OVFIND IF SET
051206,001669: 12,3644           26732                           STOVL    CSTH                                  #  CSTH (+1)
051207,001670: 12,3645           02722                                    UR1                                   
051208,001671: 12,3646           76435                           VXV      VSL1                                  
051209,001672: 12,3647           72441                           DOT      SL1                                   
051210,001673: 12,3650           02674                                    UN                                    
051211,001674: 12,3651           16730                           STODL    SNTH                                  #  SNTH (+1)
051212,001675: 12,3652           02740                                    P                                     
051213,001676: 12,3653           77624                           CALL                                           
051214,001677: 12,3654           24767                                    GETX                                  
051215,001678: 12,3655           77614                           CLRGO                                          
051216,001679: 12,3656           02634                                    SOLNSW                                
051217,001680: 12,3657           24747                                    COMMNOUT                              
051218,001681: 
051219,001682: 12,3660           43001        CIRCULAR           SETPD    SETGO                                 
051220,001683: 12,3661           00001                                    0                                     
051221,001684: 12,3662           02434                                    SOLNSW                                
051222,001685: 12,3663           25742                                    ABTCONIC                              
051223,001686: 
051224,001687: 12,3664           75345        BADR2              DLOAD    SIGN                                  
051225,001688: 12,3665           24005                                    LODPHALF                              
051226,001689: 12,3666           00031                                    COSF                                  
051227,001690: 12,3667           14031                           STODL    COSF                                  
051228,001691: 12,3670           24007                                    KEPZERO                               
051229,001692: 12,3671           77614                           SETGO                                          
051230,001693: 12,3672           04032                                    APSESW                                
051231,001694: 12,3673           25630                                    TERMNVEC                              
051232,001695: 

Page 1200

051234,001697: 12,3674           40220        APSIDES            STQ      SETPD                                 #                                PL AT 0
051235,001698: 12,3675           02710                                    RTNAPSE                               
051236,001699: 12,3676           00001                                    0D                                    
051237,001700: 12,3677           77600                           BOV                                            
051238,001701: 12,3700           25701                                    +1                                    
051239,001702: 12,3701           63375                           VLOAD    PDVL                                  #                                PL AT 6
051240,001703: 12,3702           02655                                    RVEC                                  
051241,001704: 12,3703           02744                                    VVEC                                  
051242,001705: 12,3704           77624                           CALL                                           
051243,001706: 12,3705           11064                                    PARAM                                 
051244,001707: 12,3706           77600                           BOV                                            #                                PL AT 0
051245,001708: 12,3707           25710                                    GETECC                                
051246,001709: 12,3710           42405        GETECC             DMP      SL4                                   
051247,001710: 12,3711           02742                                    R1A                                   
051248,001711: 12,3712           75421                           BDSU     SQRT                                  
051249,001712: 12,3713           11035                                    D1/64                                 
051250,001713: 12,3714           02752                           STORE    ECC                                   
051251,001714: 12,3715           65215                           DAD      PDDL                                  #                                PL AT 2
051252,001715: 12,3716           11031                                    D1/8                                  
051253,001716: 12,3717           00041                                    R1                                    
051254,001717: 12,3720           72405                           DMP      SL1                                   
051255,001718: 12,3721           02740                                    P                                     
051256,001719: 12,3722           77671                           DDV                                            #                                PL AT 0
051257,001720: 12,3723           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)            PL AT 2
051258,001721: 12,3724           02742                                    R1A                                   
051259,001722: 12,3725           00047                                    X1                                    
051260,001723: 12,3726           53725                           PDDL     SL*                                   #                                PL AT 4
051261,001724: 12,3727           00041                                    R1                                    
051262,001725: 12,3730           20174                                    0          -5,1                       
051263,001726: 12,3731           45271                           DDV      DSU                                   #                                PL AT 2,0
051264,001727: 12,3732           50000                           BOV      BMN                                   
051265,001728: 12,3733           25737                                    INFINAPO                              
051266,001729: 12,3734           25737                                    INFINAPO                              
051267,001730: 12,3735           77650                           GOTO                                           
051268,001731: 12,3736           02710                                    RTNAPSE                               
051269,001732: 12,3737           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
051270,001733: 12,3740           24020                                    LDPOSMAX                              
051271,001734: 12,3741           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
051272,001735: 

Page 1201

051274,001737: 12,3742           77776        ABTCONIC           EXIT                                           
051275,001738: 12,3743           05652                           TC       POODOO                                
051276,001739: 12,3744           00607                           OCT      00607                                 
051277,001740: 

Page 1202

051279,001742: 12,3745  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
051280,001743: 
051281,001744:                                                                                                  #  ERASABLE ASSIGNMENTS
051282,001745: 
051283,001746:                                                                                                  #  KEPLER SUBROUTINE
051284,001747: 
051285,001748:                                                                                                  #        INPUT -
051286,001749:                                                                                                  #  RRECT         ERASE   +5
051287,001750:                                                                                                  #  VRECT         ERASE   +5
051288,001751:                                                                                                  #  TAU.          ERASE   +1

Handwritten "NEW" next to XKEP.

051290,001753:                                                                                                  #  XKEP          ERASE   +1
051291,001754:                                                                                                  #  TC            ERASE   +1
051292,001755:                                                                                                  #  XPREV         ERASE   +1
051293,001756: 12,3745                        1/MU               EQUALS   14D                                   
051294,001757: 12,3745                        ROOTMU             EQUALS   16D                                   
051295,001758: 12,3745                        1/ROOTMU           EQUALS   18D                                   
051296,001759: 
051297,001760:                                                                                                  #        OUTPUT -
051298,001761:                                                                                                  #  RCV           ERASE   +5
051299,001762:                                                                                                  #  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.

051301,001764:                                                                                                  #  RC            ERASE   +1
051302,001765:                                                                                                  #  XPREV         ERASE   +1
051303,001766: 
051304,001767:                                                                                                  #        DEBRIS -
051305,001768: 12,3745                        ALPHA              EQUALS   8D                                    
051306,001769: 12,3745                        XMAX               EQUALS   10D                                   
051307,001770: 12,3745                        XMIN               EQUALS   12D                                   
051308,001771: 12,3745                        X                  EQUALS   20D                                   
051309,001772: 12,3745                        XI                 EQUALS   24D                                   
051310,001773: 12,3745                        S(XI)              EQUALS   26D                                   
051311,001774: 12,3745                        XSQC(XI)           EQUALS   28D                                   
051312,001775: 12,3745                        T                  EQUALS   30D                                   
051313,001776: 12,3745                        R1                 EQUALS   32D                                   
051314,001777: 12,3745                        KEPC1              EQUALS   34D                                   
051315,001778: 12,3745                        KEPC2              EQUALS   36D                                   
051316,001779:                                                                                                  #  DELX          ERASE   +1
051317,001780:                                                                                                  #  DELT          ERASE   +1
051318,001781:                                                                                                  #  URRECT        ERASE   +5
051319,001782:                                                                                                  #  RCNORM        ERASE   +1
051320,001783:                                                                                                  #  XPREV         EQUALS  XKEP
051321,001784: 
051322,001785: 
051323,001786:                                                                                                  #  LAMBERT SUBROUTINE
051324,001787: 
051325,001788:                                                                                                  #        INPUT -
051326,001789:                                                                                                  #  R1VEC         ERASE   +5
051327,001790:                                                                                                  #  R2VEC         ERASE   +5
051328,001791:                                                                                                  #  TDESIRED      ERASE   +1
051329,001792:                                                                                                  #  GEOMSGN       ERASE   +0
051330,001793:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT

Page 1203

051332,001795:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
051333,001796:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
051334,001797:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
051335,001798:                                                                                                  #  VTARGTAG      ERASE   +0
051336,001799:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
051337,001800: 
051338,001801:                                                                                                  #        OUTPUT -
051339,001802:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
051340,001803:                                                                                                  #  V1VEC         EQUALS  MPAC
051341,001804: 
051342,001805:                                                                                                  #        DEBRIS -
051343,001806:                                                                                                  #  RTNLAMB       ERASE   +0
051344,001807:                                                                                                  #  U2            ERASE   +5
051345,001808:                                                                                                  #  MAGVEC2       ERASE   +1
051346,001809:                                                                                                  #  UR1           ERASE   +5

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

051348,001811:                                                                                                  #  R1            EQUALS  31D
051349,001812:                                                                                                  #  UN            ERASE   +5
051350,001813:                                                                                                  #  SNTH          ERASE   +1
051351,001814:                                                                                                  #  CSTH          ERASE   +1
051352,001815:                                                                                                  #  1-CSTH        ERASE   +1
051353,001816:                                                                                                  #  CSTH-RHO      ERASE   +1
051354,001817: 12,3745                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
051355,001818: 12,3745                        COGAMIN            EQUALS   8D                                    
051356,001819: 12,3745                        DCOGA              EQUALS   12D                                   
051357,001820:                                                                                                  #  TWEEKIT       EQUALS  40D
051358,001821:                                                                                                  #  P             ERASE   +1
051359,001822:                                                                                                  #  COGA          ERASE   +1
051360,001823:                                                                                                  #  R1A           ERASE   +1
051361,001824:                                                                                                  #  X             EQUALS  20D
051362,001825:                                                                                                  #  XSQ           EQUALS  22D
051363,001826:                                                                                                  #  XI            EQUALS  24D
051364,001827:                                                                                                  #  S(XI)         EQUALS  26D
051365,001828:                                                                                                  #  XSQC(XI)      EQUALS  28D
051366,001829:                                                                                                  #  T             EQUALS  30D
051367,001830:                                                                                                  #  KEPC1         EQUALS  34D
051368,001831:                                                                                                  #  KEPC2         EQUALS  36D
051369,001832:                                                                                                  #  SLOPESW
051370,001833:                                                                                                  #  SOLNSW
051371,001834: 
051372,001835:                                                                                                  #        OTHERS -
051373,001836:                                                                                                  #  RVEC          EQUALS  R1VEC
051374,001837:                                                                                                  #  VVEC          ERASE   +5
051375,001838:                                                                                                  #  COGAFLAG
051376,001839:                                                                                                  #  RVSW
051377,001840:                                                                                                  #  INFINFLG
051378,001841:                                                                                                  #  APSESW
051379,001842:                                                                                                  #  360SW
051380,001843:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
051381,001844:                                                                                                  #  ECC           ERASE   +1
051382,001845:                                                                                                  #  RTNTR         EQUALS  RTNLAMB

Page 1204

051384,001847:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
051385,001848:                                                                                                  #  R2            EQUALS  MAGVEC2
051386,001849: 12,3745                        COSF               EQUALS   24D                                   
051387,001850:                                                                                                  #  RTNPRM        ERASE   +0
051388,001851:                                                                                                  #  SGNRDOT       ERASE   +0
051389,001852:                                                                                                  #  RDESIRED      ERASE   +1
051390,001853: 
051391,001854: 
051392,001855:                                                                                                  #  ITERATOR SUBROUTINE
051393,001856:                                                                                                  #  ORDERSW
051394,001857: 12,3745                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
051395,001858: 12,3745                        MIN                EQUALS   8D                                    

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

051397,001860:                                                                                                  #  INDEP         ERASE   +1
051398,001861: 12,3745                        DELINDEP           EQUALS   12D                                   
051399,001862: 12,3745                        ITERCTR            EQUALS   22D                                   
051400,001863: 12,3745                        DEP                EQUALS   30D                                   

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

051402,001865:                                                                                                  #  DELDEP        ERASE   +1

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

051404,001867:                                                                                                  #  DEPREV        ERASE   +1
051405,001868: 12,3745                        TWEEKIT            EQUALS   40D                                   
051406,001869: 
051407,001870: 
051408,001871:                                                                                                  #  MORE KEPLER
051409,001872:                                                                                                  #  EPSILONT      ERASE   +1
051410,001873: 
051411,001874: 
051412,001875:                                                                                                  #  MORE LAMBERT
051413,001876:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
051414,001877:                                                                                                  #  TPREV         EQUALS  DEPREV
051415,001878: 
051416,001879:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD

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