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.

049541,000002:                                                                                                  ## Copyright:   Public domain.
049542,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
049543,000004:                                                                                                  ## Purpose:     Part of the source code for Luminary 1A build 099.
049544,000005:                                                                                                  ##              It is part of the source code for the Lunar Module's (LM)
049545,000006:                                                                                                  ##              Apollo Guidance Computer (AGC), for Apollo 11.
049546,000007:                                                                                                  ##
049547,000008:                                                                                                  ## Assembler:   yaYUL
049548,000009:                                                                                                  ## Contact:     Jim Lawton <jim DOT lawton AT gmail.com>
049549,000010:                                                                                                  ## Website:     www.ibiblio.org/apollo.
049550,000011:                                                                                                  ## Pages:       1159-1204
049551,000012:                                                                                                  ## Mod history: 2009-05-28 JL   Started updating from page images.
049552,000013:                                                                                                  ##              2009-06-02 JL   Finished updating from page images.
049553,000014:                                                                                                  ##              2010-12-31 JL   Fixed page number comments.
049554,000015:                                                                                                  ##              2016-12-17 RSB  Proofed text comments with octopus/ProoferComments
049555,000016:                                                                                                  ##                              and corrected the errors found.
049556,000017:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH and WHCIH -> WHICH.
049557,000018:                                                                                                  ##              2017-03-14 RSB  Comment-text fixes noted in proofing Luminary 116.
049558,000019:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
049559,000020:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
049560,000021:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
049561,000022:                                                                                                  ##                              Luminary 99 vs Comanche 55.
049562,000023: 
049563,000024:                                                                                                  ## This source code has been transcribed or otherwise adapted from digitized
049564,000025:                                                                                                  ## images of a hardcopy from the MIT Museum.  The digitization was performed
049565,000026:                                                                                                  ## by Paul Fjeld, and arranged for by Deborah Douglas of the Museum.  Many
049566,000027:                                                                                                  ## thanks to both.  The images (with suitable reduction in storage size and
049567,000028:                                                                                                  ## consequent reduction in image quality as well) are available online at
049568,000029:                                                                                                  ## www.ibiblio.org/apollo.  If for some reason you find that the images are
049569,000030:                                                                                                  ## illegible, contact me at info@sandroid.org about getting access to the
049570,000031:                                                                                                  ## (much) higher-quality images which Paul actually created.
049571,000032:                                                                                                  ##
049572,000033:                                                                                                  ## Notations on the hardcopy document read, in part:
049573,000034:                                                                                                  ##
049574,000035:                                                                                                  ##    Assemble revision 001 of AGC program LMY99 by NASA 2021112-061
049575,000036:                                                                                                  ##    16:27 JULY 14, 1969
049576,000037: 

Page 1159

049578,000039:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
049579,000040:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
049580,000041:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
049581,000042: 
049582,000043:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049583,000044:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
049584,000045:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
049585,000046:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
049586,000047:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
049587,000048:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
049588,000049:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
049589,000050:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
049590,000051:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
049591,000052:                                                                                                  #  TINES APPROPRIATELY.
049592,000053: 
049593,000054:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
049594,000055:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
049595,000056:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
049596,000057: 
049597,000058:                                                                                                  #  RESTRICTIONS -
049598,000059:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
049599,000060:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
049600,000061:                                                                                                  #  TORIES COULD BE HANDLED.
049601,000062: 
049602,000063:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
049603,000064:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
049604,000065:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
049605,000066: 

Page 1160

049607,000068:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
049608,000069:                                                                                                  #  MOD NO. -1                                                    LOG SECTION - CONIC SUBROUTINES
049609,000070:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
049610,000071:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
049611,000072:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON:  SUPPRESSION OF X-MODULO-ING
049612,000073:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON:  CLEAR OVFIND AT KEPLER ENTRY
049613,000074: 
049614,000075:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049615,000076:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
049616,000077:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
049617,000078:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
049618,000079:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
049619,000080:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
049620,000081:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
049621,000082: 
049622,000083:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
049623,000084:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
049624,000085: 
049625,000086:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
049626,000087:                                                                                                  #   MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
049627,000088: 
049628,000089:                                                                                                  #  THE RESTRICTIONS ARE -
049629,000090:                                                                                                  #        1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
049630,000091:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
049631,000092:                                                                                                  #           ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049632,000093: 
049633,000094:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
049634,000095:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
049635,000096:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
049636,000097: 
049637,000098:                                                                                                  #  REFERENCES -
049638,000099:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
049639,000100:                                                                                                  #        MEMO 67-4.
049640,000101: 
049641,000102:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049642,000103:                                                                                                  #                        * SCALE FACTOR  *
049643,000104:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *               DESCRIPTION AND REMARKS
049644,000105:                                                                                                  #        --------        *-------------- *               -----------------------
049645,000106:                                                                                                  #        RRECT           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049646,000107:                                                                                                  #                        * +27 FOR MOON  *

Page 1161

049648,000109:                                                                                                  #        VRECT           * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049649,000110:                                                                                                  #                        * +5 FOR MOON   * 
049650,000111:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049651,000112:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
049652,000113:                                                                                                  #        TAU.            * +28           *       DESIRED TRANSFER TIME IN CENTISECONDS (DP)
049653,000114:                                                                                                  #                        *               *               MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
049654,000115:                                                                                                  #        XKEPNEW         * +17 FOR EARTH *       DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
049655,000116:                                                                                                  #                        * +16 FOR MOON  *               AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
049656,000117:                                                                                                  #                        *               *               MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
049657,000118:                                                                                                  #                        *               *               BY KEPLER TO A POOR BUT VALID GUESS.
049658,000119:                                                                                                  #        TC              * +28           *       DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
049659,000120:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
049660,000121:                                                                                                  #                        * +16 FOR MOON  *               ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
049661,000122: 
049662,000123:                                                                                                  #  SUBROUTINES CALLED -
049663,000124:                                                                                                  #        DELTIME
049664,000125: 
049665,000126:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049666,000127:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049667,000128:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
049668,000129:                                                                                                  #        KEPRTN          ...                     CONTINUE
049669,000130: 
049670,000131:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
049671,000132:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
049672,000133:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
049673,000134: 
049674,000135:                                                                                                  #  ABORT EXIT MODES -
049675,000136:                                                                                                  #        NONE
049676,000137: 
049677,000138:                                                                                                  #  OUTPUT -
049678,000139:                                                                                                  #                        * SCALE FACTOR  *
049679,000140:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049680,000141:                                                                                                  #        --------        *-------------- *       -----------------------
049681,000142:                                                                                                  #        RCV             * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS
049682,000143:                                                                                                  #                        * +27 FOR MOON  *
049683,000144:                                                                                                  #        VCV             * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
049684,000145:                                                                                                  #                        * +5 FOR MOON   *
049685,000146:                                                                                                  #        TC              * +28           *       DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
049686,000147:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
049687,000148:                                                                                                  #                        * +16 FOR MOON  *               CORRESPONDING TO ONE PERIOD.

Page 1162

049689,000150:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049690,000151: 
049691,000152:                                                                                                  #  DEBRIS -
049692,000153:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049693,000154:                                                                                                  #                        * SCALE FACTOR  *
049694,000155:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049695,000156:                                                                                                  #        --------        *-------------- *       -----------------------
049696,000157:                                                                                                  #        URRECT          * +1            *       DP UNIT VECTOR OF INITIAL POSITION
049697,000158:                                                                                                  #        R1              * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION IN METERS
049698,000159:                                                                                                  #                        * +27 FOR MOON  *
049699,000160:                                                                                                  #        ALPHA           * -22 FOR EARTH *       DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
049700,000161:                                                                                                  #                        * -20 FOR MOON  *
049701,000162:                                                                                                  #        TMODULO         * +28           *       DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
049702,000163:                                                                                                  #                        *               *       TAU. OF LESS THAN ONE PERIOD.
049703,000164: 
049704,000165:                                                                                                  #  PARAMETERS OF NO USE -
049705,000166:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
049706,000167: 

Page 1163

049708,000169: 
049709,000170:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
049710,000171:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
049711,000172:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
049712,000173: 
049713,000174:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049714,000175:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
049715,000176:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
049716,000177:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
049717,000178:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
049718,000179:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
049719,000180:                                                                                                  #  UTILIZED IN THE COMPUTATION.
049720,000181: 
049721,000182:                                                                                                  #  THE RESTRICTIONS ARE -
049722,000183:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
049723,000184:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
049724,000185:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049725,000186:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049726,000187:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
049727,000188:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
049728,000189:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049729,000190: 
049730,000191:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
049731,000192:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                 THE AGC COMPUTATION TIME IS APPROXIMATE-
049732,000193:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
049733,000194: 
049734,000195:                                                                                                  #  REFERENCES -
049735,000196:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
049736,000197:                                                                                                  #        SGA MEMO 67-4.
049737,000198: 
049738,000199:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049739,000200:                                                                                                  #  
049740,000201:                                                                                                  #                        * SCALE FACTOR  *
049741,000202:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049742,000203:                                                                                                  #        --------        *-------------- *       -----------------------
049743,000204:                                                                                                  #        R1VEC           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049744,000205:                                                                                                  #                        * +27 FOR MOON  *
049745,000206:                                                                                                  #        R2VEC           * +29 FOR EARTH *       DP TARGET OR TERMINAL POSITION VECTOR IN METERS
049746,000207:                                                                                                  #                        * +27 FOR MOON  *
049747,000208:                                                                                                  #        TDESIRED        * +28           *       DP DESIRED TRANSFER TIME IN CENTISECONDS
049748,000209:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049749,000210:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
049750,000211:                                                                                                  #        GEOMSGN         * NONE          *       SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
049751,000212:                                                                                                  #        GUESSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1164

049753,000214:                                                                                                  #                        *               *               COGA IS TO BE USED BY LAMBERT
049754,000215:                                                                                                  #        COGA            * +5            *       DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
049755,000216:                                                                                                  #                                        *       IGNORED IF GUESSW IS SET.
049756,000217:                                                                                                  #        NORMSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
049757,000218:                                                                                                  #                        *               *               LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
049758,000219:                                                                                                  #        UN              * +1            *       DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
049759,000220:                                                                                                  #                        *               *               MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
049760,000221:                                                                                                  #        VTARGTAG        * NONE          *       A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
049761,000222:                                                                                                  #                        *               *               AT R1VEC.
049762,000223:                                                                                                  #        ITERCTR         * NONE          *       A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
049763,000224:                                                                                                  #                        *               *               (AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
049764,000225:                                                                                                  #                        *               *               ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
049765,000226:                                                                                                  #                        *               *               TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
049766,000227: 
049767,000228:                                                                                                  #  SUBROUTINES CALLED -
049768,000229:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
049769,000230: 
049770,000231:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049771,000232:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049772,000233:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
049773,000234:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
049774,000235:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
049775,000236:                                                                                                  #        L+3             SOLNSW
049776,000237:                                                                                                  #        L+4             LAMABORT
049777,000238: 
049778,000239:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
049779,000240:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
049780,000241: 
049781,000242:                                                                                                  #  ABORT EXIT MODES -
049782,000243:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
049783,000244:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
049784,000245:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
049785,000246:                                                                                                  #  LAMABORT      DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
049786,000247:                                                                                                  #                        1-CSTH          360 DEGREES.
049787,000248:                                                                                                  #                DSU     BMN
049788,000249:                                                                                                  #                        ONEBIT
049789,000250:                                                                                                  #                        CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
049790,000251:                                                                                                  #                DLOAD   DAD
049791,000252:                                                                                                  #                        TDESIRED
049792,000253:                                                                                                  #                        SOMETIME
049793,000254:                                                                                                  #                STCALL  TDESIRED        INCREASE TDESIRED
049794,000255:                                                                                                  #                        LAMBERT
049795,000256: 

Page 1165

049797,000258:                                                                                                  #  OUTPUT -
049798,000259:                                                                                                  #                        * SCALE FACTOR  *
049799,000260:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049800,000261:                                                                                                  #        --------        *-------------- *       -----------------------
049801,000262:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
049802,000263:                                                                                                  #                        * +5 FOR MOON   *               PROBLEM.
049803,000264:                                                                                                  #        VTARGET         * +7 FOR EARTH  *       DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
049804,000265:                                                                                                  #                        * +5 FOR MOON   *
049805,000266:                                                                                                  #        SOLNSW          * NONE          *       INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
049806,000267:                                                                                                  #                        *               *               SOLUTION EXISTS.
049807,000268: 
049808,000269:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049809,000270: 
049810,000271:                                                                                                  #  DEBRIS -
049811,000272:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049812,000273: 
049813,000274:                                                                                                  #                        * SCALE FACTOR  *
049814,000275:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049815,000276:                                                                                                  #        --------        *-------------- *       -----------------------
049816,000277:                                                                                                  #        SNTH            * +1            *       DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
049817,000278:                                                                                                  #        CSTH            * +1            *       DP COSINE OF ANGLE
049818,000279:                                                                                                  #        1-CSTH          * +2            *       DP 1-CSTH
049819,000280:                                                                                                  #        COGA            * +5            *       DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
049820,000281:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
049821,000282:                                                                                                  #        R1A             * +6            *       DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
049822,000283:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP INITIAL RADIUS IN METERS
049823,000284:                                                                                                  #                        * +27 FOR MOON  *
049824,000285:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF R1VEC
049825,000286:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF R2VEC
049826,000287: 
049827,000288:                                                                                                  #        PARAMETERS OF NO USE
049828,000289:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
049829,000290:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
049830,000291: 

Page 1166

049832,000293:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
049833,000294:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
049834,000295:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
049835,000296: 
049836,000297:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049837,000298:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
049838,000299:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049839,000300:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049840,000301:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049841,000302:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049842,000303:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049843,000304: 
049844,000305:                                                                                                  #  THE RESTRICTIONS ARE -
049845,000306:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049846,000307:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049847,000308:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049848,000309:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049849,000310: 
049850,000311:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
049851,000312: 
049852,000313:                                                                                                  #  REFERENCES -
049853,000314:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049854,000315: 
049855,000316:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049856,000317:                                                                                                  #                        * SCALE FACTOR  *
049857,000318:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049858,000319:                                                                                                  #        --------        *-------------- *       -----------------------
049859,000320:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049860,000321:                                                                                                  #                        * +27 FOR MOON  *
049861,000322:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049862,000323:                                                                                                  #                        * +5 FOR MOON   *
049863,000324:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
049864,000325:                                                                                                  #        CSTH            * +1            *       DP COSINE OF THE ANGLE
049865,000326:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049866,000327:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
049867,000328:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049868,000329:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
049869,000330: 
049870,000331:                                                                                                  #  SUBROUTINES CALLED -

Page 1167

049872,000333:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
049873,000334: 
049874,000335:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049875,000336:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049876,000337:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049877,000338:                                                                                                  #        L+1             RVSW
049878,000339:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
049879,000340:                                                                                                  #        L+3     ...                     CONTINUE
049880,000341: 
049881,000342:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049882,000343:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049883,000344:                                                                                                  #        L+1             RVSW
049884,000345:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049885,000346:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
049886,000347:                                                                                                  #        L+3     STOVL   NEWVVEC
049887,000348:                                                                                                  #        L+4     STADR
049888,000349:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049889,000350:                                                                                                  #        L+6     ...                     CONTINUE
049890,000351: 
049891,000352:                                                                                                  #  ABORT EXIT MODES -
049892,000353:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
049893,000354:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
049894,000355: 
049895,000356:                                                                                                  #  OUTPUT -
049896,000357:                                                                                                  #                        * SCALE FACTOR  *
049897,000358:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049898,000359:                                                                                                  #        --------        *-------------- *       -----------------------
049899,000360:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
049900,000361:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
049901,000362:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049902,000363:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049903,000364:                                                                                                  #                        *               *               CLEAR IF NOT.
049904,000365: 
049905,000366:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
049906,000367:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049907,000368:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
049908,000369:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049909,000370:                                                                                                  #                        * +27 FOR MOON  *
049910,000371: 
049911,000372:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049912,000373: 

Page 1168

049914,000375:                                                                                                  #  DEBRIS -
049915,000376:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049916,000377:                                                                                                  #  
049917,000378:                                                                                                  #                        * SCALE FACTOR  *
049918,000379:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049919,000380:                                                                                                  #        --------        *-------------- *       -----------------------
049920,000381:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049921,000382:                                                                                                  #                        * +27 FOR MOON  *
049922,000383:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049923,000384:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
049924,000385:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049925,000386:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
049926,000387:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
049927,000388:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
049928,000389: 
049929,000390:                                                                                                  #        PARAMETERS OF NO USE -
049930,000391:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049931,000392:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049932,000393: 

Page 1169

049934,000395:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
049935,000396:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
049936,000397:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
049937,000398: 
049938,000399:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049939,000400: 
049940,000401:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
049941,000402:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049942,000403:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049943,000404:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049944,000405:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049945,000406:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049946,000407: 
049947,000408:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
049948,000409:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
049949,000410: 
049950,000411:                                                                                                  #  THE RESTRICTIONS ARE -
049951,000412:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049952,000413:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049953,000414:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049954,000415:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049955,000416:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
049956,000417:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
049957,000418:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
049958,000419: 
049959,000420:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
049960,000421: 
049961,000422:                                                                                                  #  REFERENCES -
049962,000423:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049963,000424: 
049964,000425:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049965,000426:                                                                                                  #                        * SCALE FACTOR  *
049966,000427:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049967,000428:                                                                                                  #        --------        *-------------- *       -----------------------
049968,000429:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049969,000430:                                                                                                  #                        * +27 FOR MOON  *
049970,000431:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049971,000432:                                                                                                  #                        * +5 FOR MOON   *
049972,000433:                                                                                                  #        RDESIRED        * +29 FOR EARTH *       DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
049973,000434:                                                                                                  #                        * +27 FOR MOON  *               COMPUTED.
049974,000435:                                                                                                  #        SGNRDOT         * NONE          *       SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
049975,000436:                                                                                                  #                        *               *               POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1170

049977,000438:                                                                                                  #                        *               *               SINGLE-VALUED PROBLEM.
049978,000439:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049979,000440:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
049980,000441:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049981,000442:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
049982,000443: 
049983,000444:                                                                                                  #  SUBROUTINES CALLED -
049984,000445:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
049985,000446: 
049986,000447:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049987,000448: 
049988,000449:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049989,000450:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049990,000451:                                                                                                  #        L+1             RVSW
049991,000452:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
049992,000453:                                                                                                  #        L+3     ...                     CONTINUE
049993,000454: 
049994,000455:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049995,000456:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049996,000457:                                                                                                  #        L+1             RVSW
049997,000458:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049998,000459:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
049999,000460:                                                                                                  #        L+3     STOVL   NEWVVEC
050000,000461:                                                                                                  #        L+4     STADR
050001,000462:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
050002,000463:                                                                                                  #        L+6     ...                     CONTINUE
050003,000464: 
050004,000465:                                                                                                  #  ABORT EXIT MODES -
050005,000466:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
050006,000467:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
050007,000468: 
050008,000469:                                                                                                  #  OUTPUT -
050009,000470:                                                                                                  #                        * SCALE FACTOR  *
050010,000471:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050011,000472:                                                                                                  #        --------        *-------------- *       -----------------------
050012,000473:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
050013,000474:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
050014,000475:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
050015,000476:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
050016,000477:                                                                                                  #                        *               *               CLEAR IF NOT.
050017,000478:                                                                                                  #        APSESW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1171

050019,000480:                                                                                                  #                        *               *               LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
050020,000481:                                                                                                  #                        *               *               WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
050021,000482:                                                                                                  #                        *               *               APOCENTER.
050022,000483:                                                                                                  #        SOLNSW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
050023,000484:                                                                                                  #                                        *               POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
050024,000485:                                                                                                  #                                        *               MINUS-18, THE SWITCH IS CLEAR.
050025,000486: 
050026,000487:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
050027,000488: 
050028,000489:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
050029,000490:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
050030,000491:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
050031,000492:                                                                                                  #                        * +27 FOR MOON  *
050032,000493: 
050033,000494:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050034,000495: 
050035,000496:                                                                                                  #  DEBRIS -
050036,000497:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
050037,000498: 
050038,000499:                                                                                                  #                        * SCALE FACTOR  *
050039,000500:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050040,000501:                                                                                                  #        --------        *-------------- *       -----------------------
050041,000502:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050042,000503:                                                                                                  #                        * +27 FOR MOON  *
050043,000504:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050044,000505:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
050045,000506:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050046,000507:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
050047,000508:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
050048,000509:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
050049,000510:                                                                                                  #        CSTH            * +1            *       DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
050050,000511:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE ANOMALY DIFFERENCE.
050051,000512: 
050052,000513:                                                                                                  #        PARAMETERS OF NO USE -
050053,000514:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
050054,000515:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
050055,000516: 
050056,000517: 

Page 1172

050058,000519:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
050059,000520:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
050060,000521:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
050061,000522: 
050062,000523:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050063,000524: 
050064,000525:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
050065,000526:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
050066,000527:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
050067,000528:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
050068,000529:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
050069,000530: 
050070,000531:                                                                                                  #  THE RESTRICTIONS ARE -
050071,000532:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
050072,000533:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
050073,000534:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
050074,000535:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050075,000536: 
050076,000537:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
050077,000538: 
050078,000539:                                                                                                  #  REFERENCES -
050079,000540:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
050080,000541: 
050081,000542:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050082,000543:                                                                                                  #                        * SCALE FACTOR  *
050083,000544:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050084,000545:                                                                                                  #        --------        *-------------- *       -----------------------
050085,000546:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
050086,000547:                                                                                                  #                        * +27 FOR MOON  *
050087,000548:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050088,000549:                                                                                                  #                        * +5 FOR MOON   *
050089,000550:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050090,000551:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
050091,000552: 
050092,000553:                                                                                                  #  SUBROUTINES CALLED -
050093,000554:                                                                                                  #        PARAM, GEOM
050094,000555: 
050095,000556:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1173

050097,000558:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
050098,000559:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050099,000560:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
050100,000561:                                                                                                  #        L+2     STODL   APOAPSE
050101,000562:                                                                                                  #        L+3             0D
050102,000563:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
050103,000564:                                                                                                  #        L+5     ...                     CONTINUE
050104,000565: 
050105,000566:                                                                                                  #  OUTPUT -
050106,000567:                                                                                                  #                        * SCALE FACTOR  *
050107,000568:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050108,000569:                                                                                                  #        --------        *-------------- *       -----------------------
050109,000570:                                                                                                  #        MPAC            * +29 FOR EARTH *       DP RADIUS OF APOCENTER IN METERS
050110,000571:                                                                                                  #                        * +27 FOR MOON  *
050111,000572:                                                                                                  #        0D-1D           * +29 FOR EARTH *       DP RADIUS OF PERICENTER IN METERS
050112,000573:                                                                                                  #                        * +27 FOR MOON  *
050113,000574:                                                                                                  #        ECC             * +3            *       DP ECCENTRICITY OF CONIC TRAJECTORY.
050114,000575: 
050115,000576:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050116,000577: 
050117,000578:                                                                                                  #  DEBRIS -
050118,000579: 
050119,000580:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
050120,000581: 
050121,000582:                                                                                                  #                        * SCALE FACTOR  *
050122,000583:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
050123,000584:                                                                                                  #        --------        *-------------- *       -----------------------
050124,000585:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050125,000586:                                                                                                  #                        * +27 FOR MOON  *
050126,000587:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050127,000588:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
050128,000589:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050129,000590:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
050130,000591:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
050131,000592:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
050132,000593:                                                                                                  #        MAGVEC2         * +7 FOR EARTH  *       DP MAGNITUDE OF VVEC
050133,000594:                                                                                                  #                        * +5 FOR MOON   *
050134,000595: 
050135,000596:                                                                                                  #        PARAMETERS OF NO USE -
050136,000597:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
050137,000598:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
050138,000599: 
050139,000600: 12,2000                                           SETLOC   CONICS                                

Page 1174

050141,000602: 12,2000                                           BANK                                           
050142,000603: 
050143,000604: 12,2023                                           COUNT*   $$/CONIC                              
050144,000605: 12,2023  E5,1721                                  EBANK=   UR1                                   
050145,000606: 12,2023           40001        KEPLERN            SETPD    BOV                                   
050146,000607: 12,2024           00001                                    0                                     
050147,000608: 12,2025           24026                                    +1                                    
050148,000609: 12,2026           77773                           VLOAD*                                         
050149,000610: 12,2027           10005                                    MUTABLE,1                             
050150,000611: 12,2030           24017                           STOVL    14D                                   
050151,000612: 12,2031           01503                                    RRECT                                 
050152,000613: 12,2032           66256                           UNIT     SSP                                   
050153,000614: 12,2033           00027                                    ITERCTR                               
050154,000615: 12,2034           00024                                    20D                                   
050155,000616: 12,2035           16647                           STODL    URRECT                                
050156,000617: 12,2036           00045                                    36D                                   
050157,000618: 12,2037           24041                           STOVL    R1                                    
050158,000619: 12,2040           01503                                    RRECT                                 
050159,000620: 12,2041           76441                           DOT      SL1R                                  
050160,000621: 12,2042           01511                                    VRECT                                 
050161,000622: 12,2043           76405                           DMP      SL1R                                  
050162,000623: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
050163,000624: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
050164,000625: 12,2046           01511                                    VRECT                                 
050165,000626: 12,2047           57236                           VSQ      DMPR                                  
050166,000627: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
050167,000628: 12,2051           52405                           DMP      SL3                                   
050168,000629: 12,2052           00041                                    R1                                    
050169,000630: 12,2053           61425                           DSU      ROUND                                 
050170,000631: 12,2054           11035                                    D1/64                                 
050171,000632: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
050172,000633: 
050173,000634: 12,2056           74421                           BDSU     SR1R                                  
050174,000635: 12,2057           11035                                    D1/64                                 
050175,000636: 12,2060           77671                           DDV                                            
050176,000637: 12,2061           00041                                    R1                                    
050177,000638: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
050178,000639: 
050179,000640: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
050180,000641: 12,2064           24073                                    1REV                                  
050181,000642: 12,2065           11053                                    -50SC                                 #  -50SC (+12)
050182,000643: 12,2066           40071                           DDV      BOV                                   
050183,000644: 12,2067           00011                                    ALPHA                                 
050184,000645: 12,2070           24077                                    STOREMAX                              
050185,000646: 12,2071           52166                           SQRT     GOTO                                  
050186,000647: 12,2072           24077                                    STOREMAX                              
050187,000648: 
050188,000649: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1175

050190,000651: 12,2074           11055                                    2PISC                                 #  2PISC (+6)
050191,000652: 12,2075           77600                           BOV                                            
050192,000653: 12,2076           24077                                    STOREMAX                              
050193,000654: 12,2077           00013        STOREMAX           STORE    XMAX                                  
050194,000655: 12,2100           65205                           DMP      PDDL                                  
050195,000656: 12,2101           00023                                    1/ROOTMU                              
050196,000657: 12,2102           00011                                    ALPHA                                 
050197,000658: 12,2103           65301                           NORM     PDDL                                  
050198,000659: 12,2104           00047                                    X1                                    
050199,000660: 12,2105           56257                           SL*      DDV                                   
050200,000661: 12,2106           20173                                    0          -6,1                       
050201,000662: 12,2107           50000                           BOV      BMN                                   
050202,000663: 12,2110           24124                                    MODDONE                               
050203,000664: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
050204,000665: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
050205,000666: 12,2113           02074                                    TAU.                                  
050206,000667: 12,2114           50025                           DSU      BMN                                   
050207,000668: 12,2115           00001                                    0D                                    
050208,000669: 12,2116           24124                                    MODDONE                               
050209,000670: 12,2117           77765                           SIGN                                           
050210,000671: 12,2120           02074                                    TAU.                                  
050211,000672: 12,2121           16074                           STODL    TAU.                                  
050212,000673: 12,2122           77650                           GOTO                                           
050213,000674: 12,2123           24112                                    PERIODCH                              
050214,000675: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
050215,000676: 12,2125           00001                                    0                                     
050216,000677: 12,2126           02130                                    XKEPNEW                               
050217,000678: 12,2127           00025                           STORE    X                                     
050218,000679: 12,2130           53165                           SIGN     BZE                                   
050219,000680: 12,2131           02074                                    TAU.                                  
050220,000681: 12,2132           24302                                    BADX                                  
050221,000682: 12,2133           51440                           BMN      ABS                                   
050222,000683: 12,2134           24302                                    BADX                                  
050223,000684: 12,2135           51025                           DSU      BPL                                   
050224,000685: 12,2136           00013                                    XMAX                                  
050225,000686: 12,2137           24302                                    BADX                                  
050226,000687: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
050227,000688: 12,2141           02074                                    TAU.                                  
050228,000689: 12,2142           24152                                    STOREMIN                              
050229,000690: 12,2143           57545                           DLOAD    DCOMP                                 
050230,000691: 12,2144           00013                                    XMAX                                  
050231,000692: 12,2145           14015                           STODL    XMIN                                  
050232,000693: 12,2146           24007                                    KEPZERO                               
050233,000694: 12,2147           00013                           STORE    XMAX                                  
050234,000695: 12,2150           77650                           GOTO                                           
050235,000696: 12,2151           24155                                    DXCOMP                                
050236,000697: 12,2152           77745        STOREMIN           DLOAD                                          
050237,000698: 12,2153           24007                                    KEPZERO                               
050238,000699: 12,2154           00015                           STORE    XMIN                                  
050239,000700: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1176

050241,000702: 12,2156           02074                                    TAU.                                  
050242,000703: 12,2157           11046                                    BEE22                                 
050243,000704: 12,2160           77646                           ABS                                            
050244,000705: 12,2161           16177                           STODL    EPSILONT                              
050245,000706: 12,2162           01553                                    XPREV                                 
050246,000707: 12,2163           77621        XDIFF              BDSU                                           
050247,000708: 12,2164           00025                                    X                                     
050248,000709: 12,2165           02643                           STORE    DELX                                  
050249,000710: 
050250,000711: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
050251,000712: 12,2167           00025                                    X                                     #  X=XKEP
050252,000713: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
050253,000714: 12,2171           00047                                    X1                                    
050254,000715: 12,2172           53605                           DMP      SRR*                                  
050255,000716: 12,2173           00011                                    ALPHA                                 
050256,000717: 12,2174           21573                                    0          -6,1                       
050257,000718: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
050258,000719: 12,2176           24421                                    DELTIME                               
050259,000720: 12,2177           44200                           BOV      BDSU                                  
050260,000721: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
050261,000722: 12,2201           02074                                    TAU.                                  
050262,000723: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
050263,000724: 12,2203           44246                           ABS      BDSU                                  
050264,000725: 12,2204           02177                                    EPSILONT                              
050265,000726: 12,2205           71244                           BPL      DLOAD                                 
050266,000727: 12,2206           24333                                    KEPCONVG                              
050267,000728: 12,2207           00037                                    T                                     
050268,000729: 12,2210           60225                           DSU      NORM                                  
050269,000730: 12,2211           01551                                    TC                                    
050270,000731: 12,2212           00047                                    X1                                    
050271,000732: 12,2213           60325                           PDDL     NORM                                  
050272,000733: 12,2214           02643                                    DELX                                  
050273,000734: 12,2215           00050                                    X2                                    
050274,000735: 12,2216           41260                           XSU,1    DMP                                   
050275,000736: 12,2217           00047                                    X2                                    
050276,000737: 12,2220           02645                                    DELT                                  
050277,000738: 12,2221           56257                           SLR*     DDV                                   
050278,000739: 12,2222           21202                                    1,1                                   
050279,000740: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
050280,000741: 12,2224           71244                           BPL      DLOAD                                 
050281,000742: 12,2225           24246                                    POSDELX                               
050282,000743: 12,2226           00025                                    X                                     
050283,000744: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
050284,000745: 12,2230           45221                           BDSU     DSU                                   #                        PL AT 0
050285,000746: 12,2231           00015                                    XMIN                                  
050286,000747: 12,2232           51000                           BOV      BPL                                   
050287,000748: 12,2233           24240                                    NDXCHNGE                              
050288,000749: 12,2234           24240                                    NDXCHNGE                              
050289,000750: 12,2235           52145                           DLOAD    GOTO                                  

Page 1177

050291,000752: 12,2236           00001                                    0D                                    
050292,000753: 12,2237           24260                                    NEWDELX                               
050293,000754: 
050294,000755: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
050295,000756: 12,2241           00015                                    XMIN                                  
050296,000757: 12,2242           00025                                    X                                     
050297,000758: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
050298,000759: 12,2244           11051                                    DP9/10                                
050299,000760: 12,2245           24260                                    NEWDELX                               
050300,000761: 
050301,000762: 12,2246           77745        POSDELX            DLOAD                                          
050302,000763: 12,2247           00025                                    X                                     
050303,000764: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
050304,000765: 12,2251           45221                           BDSU     DSU                                   #                        PL AT 0
050305,000766: 12,2252           00013                                    XMAX                                  
050306,000767: 12,2253           50000                           BOV      BMN                                   
050307,000768: 12,2254           24274                                    PDXCHNGE                              
050308,000769: 12,2255           24274                                    PDXCHNGE                              
050309,000770: 12,2256           77745                           DLOAD                                          
050310,000771: 12,2257           00001                                    0D                                    
050311,000772: 12,2260           02643        NEWDELX            STORE    DELX                                  
050312,000773: 12,2261           43254                           BZE      DAD                                   
050313,000774: 12,2262           24333                                    KEPCONVG                              
050314,000775: 12,2263           00025                                    X                                     
050315,000776: 12,2264           14025                           STODL    X                                     
050316,000777: 12,2265           00037                                    T                                     
050317,000778: 12,2266           01551                           STORE    TC                                    
050318,000779: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
050319,000780: 12,2270           24644                                    CHECKCTR                              
050320,000781: 12,2271           24333                                    KEPCONVG                              
050321,000782: 12,2272           77650                           GOTO                                           
050322,000783: 12,2273           24166                                    KEPLOOP                               #  ITERATE
050323,000784: 
050324,000785: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
050325,000786: 12,2275           00013                                    XMAX                                  
050326,000787: 12,2276           00025                                    X                                     
050327,000788: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
050328,000789: 12,2300           11051                                    DP9/10                                
050329,000790: 12,2301           24260                                    NEWDELX                               
050330,000791: 
050331,000792: 12,2302           70545        BADX               DLOAD    SR1                                   
050332,000793: 12,2303           00013                                    XMAX                                  
050333,000794: 12,2304           77765                           SIGN                                           
050334,000795: 12,2305           02074                                    TAU.                                  
050335,000796: 12,2306           00025                           STORE    X                                     
050336,000797: 12,2307           77650                           GOTO                                           

Page 1178

050338,000799: 12,2310           24140                                    STORBNDS                              
050339,000800: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
050340,000801: 12,2312           00025                                    X                                     
050341,000802: 12,2313           24330                                    NEGTOVFL                              
050342,000803: 12,2314           00013                           STORE    XMAX                                  
050343,000804: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
050344,000805: 12,2316           02643                                    DELX                                  
050345,000806: 12,2317           02643                           STORE    DELX                                  
050346,000807: 12,2320           44254                           BZE      BDSU                                  
050347,000808: 12,2321           02112                                    KEPRTN                                
050348,000809: 12,2322           00025                                    X                                     
050349,000810: 12,2323           14025                           STODL    X                                     
050350,000811: 12,2324           01551                                    TC                                    
050351,000812: 12,2325           00037                           STORE    T                                     
050352,000813: 12,2326           77650                           GOTO                                           
050353,000814: 12,2327           24267                                    BRNCHCTR                              
050354,000815: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
050355,000816: 12,2331           77650                           GOTO                                           
050356,000817: 12,2332           24315                                    CMNTOVFL                              
050357,000818: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
050358,000819: 12,2334           00041                                    R1                                    
050359,000820: 12,2335           74225                           DSU      VXSC                                  
050360,000821: 12,2336           00035                                    XSQC(XI)                              
050361,000822: 12,2337           02647                                    URRECT                                
050362,000823: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
050363,000824: 12,2341           00025                                    X                                     
050364,000825: 12,2342           60316                           DSQ      NORM                                  
050365,000826: 12,2343           00047                                    X1                                    
050366,000827: 12,2344           57275                           DMPR     DMPR                                  
050367,000828: 12,2345           00023                                    1/ROOTMU                              
050368,000829: 12,2346           00025                                    X                                     
050369,000830: 12,2347           53605                           DMP      SRR*                                  
050370,000831: 12,2350           00033                                    S(XI)                                 
050371,000832: 12,2351           21572                                    0          -7,1                       
050372,000833: 12,2352           77621                           BDSU                                           
050373,000834: 12,2353           00037                                    T                                     
050374,000835: 12,2354           74352                           SL1      VXSC                                  
050375,000836: 12,2355           01511                                    VRECT                                 
050376,000837: 12,2356           53372                           VSL1     VAD                                   #                                PL AT 0
050377,000838: 12,2357           77712                           VSL4                                           
050378,000839: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
050379,000840: 
050380,000841: 12,2361           60246                           ABVAL    NORM                                  
050381,000842: 12,2362           00050                                    X2                                    
050382,000843: 12,2363           14043                           STODL    RCNORM                                
050383,000844: 12,2364           00031                                    XI                                    
050384,000845: 12,2365           45275                           DMPR     DSU                                   
050385,000846: 12,2366           00033                                    S(XI)                                 
050386,000847: 12,2367           11033                                    D1/128                                

Page 1179

050388,000849: 12,2370           76405                           DMP      SL1R                                  
050389,000850: 12,2371           00021                                    ROOTMU                                
050390,000851: 12,2372           53605                           DMP      SLR*                                  
050391,000852: 12,2373           00025                                    X                                     
050392,000853: 12,2374           56601                                    0          -3,2                       
050393,000854: 12,2375           74271                           DDV      VXSC                                  
050394,000855: 12,2376           00043                                    RCNORM                                
050395,000856: 12,2377           02647                                    URRECT                                
050396,000857: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
050397,000858: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
050398,000859: 12,2402           56257                           SLR*     DDV                                   
050399,000860: 12,2403           56602                                    0          -4,2                       
050400,000861: 12,2404           00043                                    RCNORM                                
050401,000862: 12,2405           74221                           BDSU     VXSC                                  
050402,000863: 12,2406           11047                                    D1/256                                
050403,000864: 12,2407           01511                                    VRECT                                 
050404,000865: 12,2410           42455                           VAD      VSL8                                  
050405,000866: 12,2411           77626                           STADR                                          #                                PL AT 0
050406,000867: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
050407,000868: 12,2413           00037                                    T                                     
050408,000869: 12,2414           15551                           STODL    TC                                    
050409,000870: 12,2415           00025                                    X                                     
050410,000871: 12,2416           01553                           STORE    XPREV                                 
050411,000872: 12,2417           77650                           GOTO                                           
050412,000873: 12,2420           02112                                    KEPRTN                                
050413,000874: 

Page 1180

050415,000876: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
050416,000877: 12,2422           07222                           TC       POLY                                  
050417,000878: 12,2423           00010                           DEC      8          B-14                       
050418,000879: 12,2424           02525 12526                     2DEC     .083333334                            
050419,000880: 12,2426           67356 75666                     2DEC     -.266666684                            
050420,000881: 12,2430           15001 23771                     2DEC     .406349155                            
050421,000882: 12,2432           64342 43674                     2DEC     -.361198675                            
050422,000883: 12,2434           06563 04645                     2DEC     .210153242                            
050423,000884: 12,2436           75173 52672                     2DEC     -.086221951                            
050424,000885: 12,2440           00656 14331                     2DEC     .026268812                            
050425,000886: 12,2442           77633 40512                     2DEC     -.006163316                            
050426,000887: 12,2444           00023 11210                     2DEC     .001177342                            
050427,000888: 12,2446           77774 67506                     2DEC     -.000199055                            
050428,000889: 
050429,000890: 12,2450           06037                           TC       INTPRET                               
050430,000891: 12,2451           14033                           STODL    S(XI)                                 
050431,000892: 12,2452           00031                                    XI                                    
050432,000893: 12,2453           77776                           EXIT                                           
050433,000894: 12,2454           07222                           TC       POLY                                  
050434,000895: 12,2455           00010                           DEC      8          B-14                       
050435,000896: 12,2456           01000 00000                     2DEC     .031250001                            
050436,000897: 12,2460           72525 52506                     2DEC     -.166666719                            
050437,000898: 12,2462           13301 15337                     2DEC     .355555413                            
050438,000899: 12,2464           62776 54733                     2DEC     -.406347410                            
050439,000900: 12,2466           11176 13267                     2DEC     .288962094                            
050440,000901: 12,2470           73410 51674                     2DEC     -.140117894                            
050441,000902: 12,2472           01446 33641                     2DEC     .049247387                            
050442,000903: 12,2474           77451 65233                     2DEC     -.013081923                            
050443,000904: 12,2476           00055 37266                     2DEC     .002806389                            
050444,000905: 12,2500           77767 52336                     2DEC     -.000529414                            
050445,000906: 12,2502           06037                           TC       INTPRET                               

Page 1181

050447,000908: 12,2503           53605                           DMP      SRR*                                  #                                PL AT 0
050448,000909: 12,2504           00001                                    0D                                    
050449,000910: 12,2505           21574                                    0          -5,1                       
050450,000911: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
050451,000912: 12,2507           72405                           DMP      SL1                                   
050452,000913: 12,2510           00043                                    KEPC1                                 
050453,000914: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
050454,000915: 12,2512           21633                                    TPMODE                                #                                PL AT 0,3
050455,000916: 12,2513           53605                           DMP      SRR*                                  
050456,000917: 12,2514           00033                                    S(XI)                                 
050457,000918: 12,2515           21574                                    0          -5,1                       
050458,000919: 12,2516           72405                           DMP      SL1                                   
050459,000920: 12,2517           00045                                    KEPC2                                 
050460,000921: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
050461,000922: 12,2521           21633                                    TPMODE                                
050462,000923: 12,2522           00041                                    R1                                    
050463,000924: 12,2523           76261                           SR       TAD                                   #                                PL AT 3
050464,000925: 12,2524           20607                                    6                                     
050465,000926: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
050466,000927: 12,2526           00047                                    X1                                    
050467,000928: 12,2527           00025                                    X                                     
050468,000929: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
050469,000930: 12,2531           20576                                    0          -3,1                       
050470,000931: 12,2532           57232                           SL4R     DMPR                                  
050471,000932: 12,2533           00023                                    1/ROOTMU                              
050472,000933: 12,2534           00037                           STORE    T                                     
050473,000934: 12,2535           77616                           RVQ                                            
050474,000935: 

Page 1182

050476,000937: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
050477,000938: 12,2537           00614                                    SLOPESW                               
050478,000939: 12,2540           24606                                    FIRSTIME                              
050479,000940: 12,2541           00037                                    DEP                                   
050480,000941: 12,2542           60225                           DSU      NORM                                  
050481,000942: 12,2543           02762                                    DEPREV                                
050482,000943: 12,2544           00047                                    X1                                    
050483,000944: 12,2545           60325                           PDDL     NORM                                  
050484,000945: 12,2546           00015                                    DELINDEP                              
050485,000946: 12,2547           00050                                    X2                                    
050486,000947: 12,2550           41260                           XSU,1    DMP                                   
050487,000948: 12,2551           00047                                    X2                                    
050488,000949: 12,2552           02760                                    DELDEP                                
050489,000950: 12,2553           56257                           SLR*     DDV                                   #                                PL UP 2
050490,000951: 12,2554           21202                                    1,1                                   
050491,000952: 12,2555           43142                           SR1      BOFF                                  
050492,000953: 12,2556           04351                                    ORDERSW                               
050493,000954: 12,2557           24562                                    SGNCHECK                              
050494,000955: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
050495,000956: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
050496,000957: 
050497,000958: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
050498,000959: 12,2563           24620                                    POSDEL                                
050499,000960: 12,2564           43145                           DLOAD    BON                                   
050500,000961: 12,2565           02766                                    INDEP                                 
050501,000962: 12,2566           04311                                    ORDERSW                               
050502,000963: 12,2567           24571                                    MINCHECK                              
050503,000964: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
050504,000965: 
050505,000966: 12,2571           45221        MINCHECK           BDSU     DSU                                   
050506,000967: 12,2572           00011                                    MIN                                   
050507,000968: 12,2573           51000                           BOV      BPL                                   
050508,000969: 12,2574           24600                                    MODNGDEL                              
050509,000970: 12,2575           24600                                    MODNGDEL                              
050510,000971: 12,2576           77650                           GOTO                                           
050511,000972: 12,2577           24632                                    DELOK                                 
050512,000973: 
050513,000974: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
050514,000975: 12,2601           00011                                    MIN                                   
050515,000976: 12,2602           02766                                    INDEP                                 
050516,000977: 12,2603           52005                           DMP      GOTO                                  
050517,000978: 12,2604           11051                                    DP9/10                                
050518,000979: 12,2605           24634                                    NEWDEL                                
050519,000980: 
050520,000981: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
050521,000982: 12,2607           00011                                    MIN                                   
050522,000983: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
050523,000984: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1183

050525,000986: 12,2612           00017                                    MAX                                   
050526,000987: 12,2613           00051                                    TWEEKIT                               
050527,000988: 12,2614           77625                           DSU                                            
050528,000989: 12,2615           52165                           SIGN     GOTO                                  
050529,000990: 12,2616           02760                                    DELDEP                                
050530,000991: 12,2617           24562                                    SGNCHECK                              
050531,000992: 
050532,000993: 12,2620           43145        POSDEL             DLOAD    BON                                   
050533,000994: 12,2621           02766                                    INDEP                                 
050534,000995: 12,2622           04311                                    ORDERSW                               
050535,000996: 12,2623           24625                                    MAXCHECK                              
050536,000997: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
050537,000998: 
050538,000999: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
050539,001000: 12,2626           00017                                    MAX                                   
050540,001001: 12,2627           50000                           BOV      BMN                                   
050541,001002: 12,2630           24636                                    MODPSDEL                              
050542,001003: 12,2631           24636                                    MODPSDEL                              
050543,001004: 12,2632           77745        DELOK              DLOAD                                          
050544,001005: 12,2633           00001                                    0D                                    
050545,001006: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
050546,001007: 12,2635           77616                           RVQ                                            
050547,001008: 
050548,001009: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
050549,001010: 12,2637           00017                                    MAX                                   
050550,001011: 12,2640           02766                                    INDEP                                 
050551,001012: 12,2641           52005                           DMP      GOTO                                  
050552,001013: 12,2642           11051                                    DP9/10                                
050553,001014: 12,2643           24634                                    NEWDEL                                
050554,001015: 
050555,001016: 12,2644           44753        CHECKCTR           CS       ONE                                   
050556,001017: 12,2645           50120                           INDEX    FIXLOC                                
050557,001018: 12,2646           60026                           AD       ITERCTR                               
050558,001019: 12,2647           50120                           INDEX    FIXLOC                                
050559,001020: 12,2650           54026                           TS       ITERCTR                               
050560,001021: 12,2651           54154                           TS       MPAC                                  
050561,001022: 12,2652           06061                           TC       DANZIG                                
050562,001023: 

Page 1184

050564,001025: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
050565,001026: 12,2654           00041                                    R1                                    
050566,001027: 12,2655           74225                           DSU      VXSC                                  
050567,001028: 12,2656           00035                                    XSQC(XI)                              
050568,001029: 12,2657           02722                                    UR1                                   
050569,001030: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
050570,001031: 12,2661           00025                                    X                                     
050571,001032: 12,2662           60316                           DSQ      NORM                                  
050572,001033: 12,2663           00047                                    X1                                    
050573,001034: 12,2664           57275                           DMPR     DMPR                                  
050574,001035: 12,2665           00023                                    1/ROOTMU                              
050575,001036: 12,2666           00025                                    X                                     
050576,001037: 12,2667           53605                           DMP      SRR*                                  
050577,001038: 12,2670           00033                                    S(XI)                                 
050578,001039: 12,2671           21572                                    0          -7,1                       
050579,001040: 12,2672           77621                           BDSU                                           
050580,001041: 12,2673           00037                                    T                                     
050581,001042: 12,2674           74352                           SL1      VXSC                                  
050582,001043: 12,2675           02744                                    VVEC                                  
050583,001044: 12,2676           53372                           VSL1     VAD                                   #                                PL AT 0
050584,001045: 12,2677           41512                           VSL4     PUSH                                  
050585,001046: 12,2700           77646                           ABVAL                                          
050586,001047: 12,2701           77701        LAMENTER           NORM                                           
050587,001048: 12,2702           00047                                    X1                                    
050588,001049: 12,2703           16720                           STODL    R2                                    
050589,001050: 12,2704           00031                                    XI                                    
050590,001051: 12,2705           45205                           DMP      DSU                                   
050591,001052: 12,2706           00033                                    S(XI)                                 
050592,001053: 12,2707           11033                                    D1/128                                
050593,001054: 12,2710           76405                           DMP      SL1R                                  
050594,001055: 12,2711           00021                                    ROOTMU                                
050595,001056: 12,2712           53605                           DMP      SLR*                                  
050596,001057: 12,2713           00025                                    X                                     
050597,001058: 12,2714           21176                                    0          -3,1                       
050598,001059: 12,2715           74271                           DDV      VXSC                                  
050599,001060: 12,2716           02720                                    R2                                    
050600,001061: 12,2717           02722                                    UR1                                   
050601,001062: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
050602,001063: 12,2721           00035                                    XSQC(XI)                              
050603,001064: 12,2722           56257                           SLR*     DDV                                   
050604,001065: 12,2723           21175                                    0          -4,1                       
050605,001066: 12,2724           02720                                    R2                                    
050606,001067: 12,2725           77621                           BDSU                                           
050607,001068: 12,2726           11047                                    D1/256                                
050608,001069: 12,2727           53361                           VXSC     VAD                                   #                                PL AT 6
050609,001070: 12,2730           02744                                    VVEC                                  
050610,001071: 12,2731           43412                           VSL8     RVQ                                   
050611,001072: 

Page 1185

050613,001074: 04,2000                                           SETLOC   CONICS1                               
050614,001075: 04,2000                                           BANK                                           
050615,001076: 
050616,001077: 04,3027                                           COUNT*   $$/CONIC                              
050617,001078:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
050618,001079: 04,3027           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
050619,001080: 04,3030           04000 00000  D1/8               2DEC     1.0        B-3                        
050620,001081: 04,3032           00200 00000  D1/128             2DEC     1.0        B-7                        
050621,001082: 04,3034           00400 00000  D1/64              2DEC     1.0        B-6                        
050622,001083: 04,3036           10000 00000  D1/4               2DEC     1.0        B-2                        
050623,001084: 04,3040           02000 00000  D1/16              2DEC     1.0        B-4                        
050624,001085: 04,3042           01000 00000  D1/32              2DEC     1.0        B-5                        
050625,001086: 04,3044           00020 00000  D1/1024            2DEC     1.0        B-10                       
050626,001087: 04,3046           00100 00000  D1/256             2DEC     1.0        B-8                        
050627,001088: 04,3050           34631 23146  DP9/10             2DEC     .9                                    
050628,001089: 04,3052  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
050629,001090: 04,3052           77467 77777  -50SC              2DEC     -50.0      B-12                       
050630,001091: 04,3054           03110 17665  2PISC              2DEC     6.28318530 B-6                        
050631,001092: 04,3056  04,3041               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
050632,001093: 04,3056  04,3045               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
050633,001094: 04,3056           00000 00001  ONEBIT             2DEC     1.0        B-28                       
050634,001095: 04,3060           37767 37737  COGUPLIM           2DEC     .999511597                            
050635,001096: 04,3062           40010 40040  COGLOLIM           2DEC     -.999511597                            
050636,001097: 

Page 1186

050638,001099: 12,2000                                           SETLOC   CONICS                                
050639,001100: 12,2000                                           BANK                                           
050640,001101: 
050641,001102: 12,2732                                           COUNT*   $$/CONIC                              
050642,001103: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
050643,001104: 12,2733           02710                                    RTNTT                                 
050644,001105: 12,2734           00001                                    0                                     
050645,001106: 12,2735           77600                           BOV                                            
050646,001107: 12,2736           24737                                    +1                                    
050647,001108: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
050648,001109: 12,2740           02655                                    RVEC                                  
050649,001110: 12,2741           02744                                    VVEC                                  
050650,001111: 12,2742           77624                           CALL                                           
050651,001112: 12,2743           11064                                    PARAM                                 
050652,001113: 12,2744           45000                           BOV      CALL                                  #                                PL AT 0
050653,001114: 12,2745           24764                                    COGAOVFL                              
050654,001115: 12,2746           24767                                    GETX                                  
050655,001116: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
050656,001117: 12,2750           00031                                    XI                                    
050657,001118: 12,2751           04310                                    INFINFLG                              
050658,001119: 12,2752           25742                                    ABTCONIC                              
050659,001120: 12,2753           45014                           CLEAR    CALL                                  
050660,001121: 12,2754           04273                                    COGAFLAG                              
050661,001122: 12,2755           24421                                    DELTIME                               
050662,001123: 12,2756           45014                           BON      CALL                                  
050663,001124: 12,2757           03706                                    RVSW                                  
050664,001125: 12,2760           02710                                    RTNTT                                 
050665,001126: 12,2761           24653                                    NEWSTATE                              
050666,001127: 12,2762           77650                           GOTO                                           
050667,001128: 12,2763           02710                                    RTNTT                                 
050668,001129: 
050669,001130: 12,2764           77614        COGAOVFL           SETGO                                          
050670,001131: 12,2765           04033                                    COGAFLAG                              
050671,001132: 12,2766           25742                                    ABTCONIC                              
050672,001133: 
050673,001134: 04,3064                                           BANK     4                                     
050674,001135: 04,2000                                           SETLOC   CONICS1                               
050675,001136: 04,2000                                           BANK                                           
050676,001137: 04,3064                                           COUNT*   $$/CONIC                              
050677,001138: 04,3064           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
050678,001139: 04,3065           02753                                    RTNPRM                                
050679,001140: 04,3066           03665                                    NORMSW                                
050680,001141: 04,3067           77614                           CLEAR                                          
050681,001142: 04,3070           04273                                    COGAFLAG                              
050682,001143: 04,3071           45131                           SSP      CALL                                  
050683,001144: 04,3072           02673                                    GEOMSGN                               
050684,001145: 04,3073           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
050685,001146: 04,3074           11130                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
050686,001147: 04,3075           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0
050687,001148: 04,3076           56261                           SR       DDV                                   

Page 1187

050689,001150: 04,3077           20606                                    5                                     
050690,001151: 04,3100           00045                                    36D                                   
050691,001152: 04,3101           32766                           STOVL*   COGA                                  
050692,001153: 04,3102           10005                                    MUTABLE,1                             
050693,001154: 04,3103           14017                           STODL    1/MU                                  
050694,001155: 04,3104           02720                                    MAGVEC2                               
050695,001156: 04,3105           60316                           DSQ      NORM                                  
050696,001157: 04,3106           00047                                    X1                                    
050697,001158: 04,3107           41275                           DMPR     DMP                                   
050698,001159: 04,3110           00017                                    1/MU                                  
050699,001160: 04,3111           00041                                    R1                                    
050700,001161: 04,3112           77657                           SRR*                                           
050701,001162: 04,3113           21576                                    0          -3,1                       
050702,001163: 04,3114           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
050703,001164: 04,3115           11043                                    D1/32                                 
050704,001165: 04,3116           16742                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
050705,001166: 
050706,001167: 04,3117           60205                           DMP      NORM                                  
050707,001168: 04,3120           00045                                    36D                                   
050708,001169: 04,3121           00047                                    X1                                    
050709,001170: 04,3122           53605                           DMP      SR*                                   
050710,001171: 04,3123           00045                                    36D                                   
050711,001172: 04,3124           20575                                    0          -4,1                       
050712,001173: 04,3125           02740                           STORE    P                                     #  P (+4)
050713,001174: 04,3126           77650                           GOTO                                           
050714,001175: 04,3127           02753                                    RTNPRM                                
050715,001176: 

Page 1188

050717,001178: 04,3130           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
050718,001179: 04,3131           16712                           STODL    U2                                    #  U2 (+1)
050719,001180: 04,3132           00045                                    36D                                   
050720,001181: 04,3133           26720                           STOVL    MAGVEC2                               #                                PL AT 0
050721,001182: 04,3134           77656                           UNIT                                           
050722,001183: 04,3135           02722                           STORE    UR1                                   #  UR1 (+1)
050723,001184: 04,3136           72441                           DOT      SL1                                   
050724,001185: 04,3137           02712                                    U2                                    
050725,001186: 04,3140           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
050726,001187: 04,3141           00045                                    36D                                   
050727,001188: 04,3142           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
050728,001189: 04,3143           02722                                    UR1                                   
050729,001190: 04,3144           76435                           VXV      VSL1                                  
050730,001191: 04,3145           02712                                    U2                                    
050731,001192: 04,3146           75214                           BON      SIGN                                  
050732,001193: 04,3147           03705                                    NORMSW                                
050733,001194: 04,3150           11162                                    HAVENORM                              
050734,001195: 04,3151           02673                                    GEOMSGN                               
050735,001196: 04,3152           40056                           UNIT     BOV                                   
050736,001197: 04,3153           11160                                    COLINEAR                              
050737,001198: 04,3154           16674        UNITNORM           STODL    UN                                    #  UN (+1)
050738,001199: 04,3155           00045                                    36D                                   
050739,001200: 04,3156           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
050740,001201: 04,3157           02673                                    GEOMSGN                               
050741,001202: 
050742,001203: 04,3160           52162        COLINEAR           VSR1     GOTO                                  
050743,001204: 04,3161           11154                                    UNITNORM                              
050744,001205: 
050745,001206: 04,3162           75246        HAVENORM           ABVAL    SIGN                                  
050746,001207: 04,3163           02673                                    GEOMSGN                               
050747,001208: 04,3164           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
050748,001209: 

Page 1189

050750,001211: 12,2767                                           BANK     12                                    
050751,001212: 12,2000                                           SETLOC   CONICS                                
050752,001213: 12,2000                                           BANK                                           
050753,001214: 
050754,001215: 12,2767                                           COUNT*   $$/CONIC                              
050755,001216: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
050756,001217: 12,2770           00003                                    3                                     
050757,001218: 12,2771           00052                                    S2                                    
050758,001219: 12,2772           00001                                    1                                     
050759,001220: 12,2773           77614                           CLEAR                                          
050760,001221: 12,2774           04276                                    360SW                                 
050761,001222: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
050762,001223: 12,2776           02732                                    CSTH                                  
050763,001224: 12,2777           44342                           SR1      BDSU                                  
050764,001225: 12,3000           11037                                    D1/4                                  
050765,001226: 12,3001           54325                           PDDL     SRR                                   #                                PL AT 4D
050766,001227: 12,3002           02730                                    SNTH                                  
050767,001228: 12,3003           21607                                    6                                     
050768,001229: 12,3004           77671                           DDV                                            #                                PL AT 2
050769,001230: 12,3005           77600                           BOV                                            
050770,001231: 12,3006           25122                                    360CHECK                              
050771,001232: 12,3007           41225                           DSU      DMP                                   
050772,001233: 12,3010           02766                                    COGA                                  #                                PL AT 0
050773,001234: 12,3011           40132                           SL2R     BOV                                   
050774,001235: 12,3012           25122                                    360CHECK                              
050775,001236: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
050776,001237: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
050777,001238: 12,3015           00155                                    MPAC                                  
050778,001239: 12,3016           02742                                    R1A                                   
050779,001240: 12,3017           76202                           SR4      TAD                                   #                                PL AT 2
050780,001241: 12,3020           75440                           BMN      SQRT                                  
050781,001242: 12,3021           25205                                    INFINITY                              
050782,001243: 12,3022           43306                           ROUND    DAD                                   #                                PL AT 0D
050783,001244: 12,3023           61000                           BOV      TIX,2                                 
050784,001245: 12,3024           25120                                    RESETX2                               
050785,001246: 12,3025           25013                                    WLOOP                                 
050786,001247: 
050787,001248: 12,3026           40065                           BDDV     BOV                                   
050788,001249: 12,3027           11033                                    D1/128                                
050789,001250: 12,3030           25205                                    INFINITY                              
050790,001251: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
050791,001252: 12,3032           25205                                    INFINITY                              
050792,001253: 12,3033           77716                           DSQ                                            
050793,001254: 12,3034           41301                           NORM     DMP                                   
050794,001255: 12,3035           00047                                    X1                                    
050795,001256: 12,3036           02742                                    R1A                                   
050796,001257: 12,3037           77457                           SRR*     EXIT                                  
050797,001258: 12,3040           21567                                    0          -10D,1                     
050798,001259: 12,3041           07222                           TC       POLY                                  

Page 1190

050800,001261: 12,3042           00005                           DEC      5          B-14                       
050801,001262: 12,3043           20000 00000                     2DEC     .5                                    
050802,001263: 12,3045           72525 52471                     2DEC     -.166666770                            
050803,001264: 12,3047           03146 15003                     2DEC     .100000392                            
050804,001265: 12,3051           75556 45210                     2DEC     -.071401086                            
050805,001266: 12,3053           01615 13553                     2DEC     .055503292                            
050806,001267: 12,3055           76371 63777                     2DEC     -.047264098                            
050807,001268: 12,3057           01232 27367                     2DEC     .040694204                            
050808,001269: 
050809,001270: 12,3061           06037                           TC       INTPRET                               
050810,001271: 12,3062           76405                           DMP      SL1R                                  #                                PL AT 0D
050811,001272: 12,3063           43006                           PUSH     BON                                   
050812,001273: 12,3064           04316                                    360SW                                 
050813,001274: 12,3065           25172                                    TRUE360X                              
050814,001275: 12,3066           60316        XCOMMON            DSQ      NORM                                  
050815,001276: 12,3067           00047                                    X1                                    
050816,001277: 12,3070           53605                           DMP      SRR*                                  
050817,001278: 12,3071           02742                                    R1A                                   
050818,001279: 12,3072           21565                                    0          -12D,1                     
050819,001280: 12,3073           14031                           STODL    XI                                    #  XI (+6)
050820,001281: 12,3074           00041                                    R1                                    
050821,001282: 12,3075           75542                           SR1      SQRT                                  
050822,001283: 12,3076           41306                           ROUND    DMP                                   
050823,001284: 12,3077           77632                           SL4R                                           #                                PL AT 0
050824,001285: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
050825,001286: 
050826,001287: 12,3101           60316                           DSQ      NORM                                  
050827,001288: 12,3102           00047                                    X1                                    
050828,001289: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
050829,001290: 12,3104           02740                                    P                                     
050830,001291: 12,3105           00041                                    R1                                    
050831,001292: 12,3106           75452                           SL3      SQRT                                  
050832,001293: 12,3107           56405                           DMP      SL3R                                  
050833,001294: 12,3110           02766                                    COGA                                  
050834,001295: 12,3111           14043                           STODL    KEPC1                                 
050835,001296: 12,3112           02742                                    R1A                                   
050836,001297: 12,3113           43021                           BDSU     CLEAR                                 
050837,001298: 12,3114           11035                                    D1/64                                 
050838,001299: 12,3115           04270                                    INFINFLG                              
050839,001300: 12,3116           00045                           STORE    KEPC2                                 
050840,001301: 12,3117           77616                           RVQ                                            
050841,001302: 

Page 1191

050843,001304: 12,3120           77774        RESETX2            AXT,2                                          
050844,001305: 12,3121           00003                                    3                                     
050845,001306: 
050846,001307: 12,3122           51001        360CHECK           SETPD    BPL                                   
050847,001308: 12,3123           00001                                    0D                                    
050848,001309: 12,3124           25127                                    INVRSEQN                              
050849,001310: 12,3125           77614                           SET                                            
050850,001311: 12,3126           04076                                    360SW                                 
050851,001312: 
050852,001313: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
050853,001314: 12,3130           02740                                    P                                     
050854,001315: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
050855,001316: 12,3132           02730                                    SNTH                                  
050856,001317: 12,3133           02766                                    COGA                                  
050857,001318: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
050858,001319: 12,3135           02732                                    CSTH                                  
050859,001320: 12,3136           43202                           SR4      DAD                                   
050860,001321: 12,3137           11043                                    D1/32                                 
050861,001322: 12,3140           41225                           DSU      DMP                                   #                                PL AT 2,0
050862,001323: 12,3141           55301                           NORM     BDDV                                  
050863,001324: 12,3142           00047                                    X1                                    
050864,001325: 12,3143           02730                                    SNTH                                  
050865,001326: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
050866,001327: 12,3145           21174                                    0          -5,1                       
050867,001328: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
050868,001329: 12,3147           14043                           STODL    34D                                   
050869,001330: 12,3150           11041                                    D1/16                                 
050870,001331: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
050871,001332: 12,3152           65234                           RTB      PDDL                                  #                                PL AT 7
050872,001333: 12,3153           21633                                    TPMODE                                
050873,001334: 12,3154           02742                                    R1A                                   
050874,001335: 12,3155           40405                           DMP      SR4                                   
050875,001336: 12,3156           00043                                    34D                                   
050876,001337: 12,3157           77771                           TAD                                            #                                PL AT 4
050877,001338: 12,3160           75440                           BMN      SQRT                                  
050878,001339: 12,3161           25205                                    INFINITY                              
050879,001340: 12,3162           77615                           DAD                                            #                                PL AT 2
050880,001341: 12,3163           60304                           TIX,2    NORM                                  
050881,001342: 12,3164           25151                                    1/WLOOP                               
050882,001343: 12,3165           00047                                    X1                                    
050883,001344: 12,3166           77665                           BDDV                                           
050884,001345: 12,3167           52057                           SLR*     GOTO                                  #                                PL AT 0
050885,001346: 12,3170           21172                                    0          -7,1                       
050886,001347: 12,3171           25031                                    POLYCOEF                              
050887,001348: 
050888,001349: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
050889,001350: 12,3173           02742                                    R1A                                   

Page 1192

050891,001352: 12,3174           25205                                    INFINITY                              
050892,001353: 12,3175           60366                           SQRT     NORM                                  
050893,001354: 12,3176           00047                                    X1                                    
050894,001355: 12,3177           53665                           BDDV     SL*                                   
050895,001356: 12,3200           11055                                    2PISC                                 
050896,001357: 12,3201           20176                                    0          -3,1                       
050897,001358: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
050898,001359: 12,3203           77650                           GOTO                                           
050899,001360: 12,3204           25066                                    XCOMMON                               
050900,001361: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
050901,001362: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
050902,001363: 12,3207           25210                                    OVFLCLR                               
050903,001364: 12,3210           43414        OVFLCLR            SET      RVQ                                   
050904,001365: 12,3211           04070                                    INFINFLG                              
050905,001366: 

Page 1193

050907,001368: 12,3212           40220        LAMBERT            STQ      SETPD                                 
050908,001369: 12,3213           02710                                    RTNLAMB                               
050909,001370: 12,3214           00001                                    0D                                    
050910,001371: 12,3215           77600                           BOV                                            
050911,001372: 12,3216           25217                                    +1                                    
050912,001373: 12,3217           76614                           CLEAR    VLOAD*                                
050913,001374: 12,3220           02674                                    SOLNSW                                
050914,001375: 12,3221           10005                                    MUTABLE,1                             
050915,001376: 12,3222           14017                           STODL    1/MU                                  
050916,001377: 12,3223           02671                                    TDESIRED                              
050917,001378: 12,3224           77675                           DMPR                                           
050918,001379: 12,3225           11042                                    BEE19                                 
050919,001380: 12,3226           02764                           STORE    EPSILONL                              
050920,001381: 12,3227           77214                           SET      VLOAD                                 
050921,001382: 12,3230           00474                                    SLOPESW                               
050922,001383: 12,3231           02655                                    R1VEC                                 
050923,001384: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
050924,001385: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
050925,001386: 12,3234           11130                                    GEOM                                  
050926,001387: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
050927,001388: 12,3236           02720                                    MAGVEC2                               
050928,001389: 12,3237           65301                           NORM     PDDL                                  #                                PL AT 4
050929,001390: 12,3240           00047                                    X1                                    
050930,001391: 12,3241           00041                                    R1                                    
050931,001392: 12,3242           56342                           SR1      DDV                                   #                                PL AT 2
050932,001393: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
050933,001394: 12,3244           20173                                    0          -6,1                       
050934,001395: 12,3245           77626                           STADR                                          
050935,001396: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
050936,001397: 12,3247           44342                           SR1      BDSU                                  
050937,001398: 12,3250           11037                                    D1/4                                  
050938,001399: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
050939,001400: 
050940,001401: 12,3252           53106                           ROUND    BZE                                   
050941,001402: 12,3253           25463                                    360LAMB                               
050942,001403: 12,3254           65301                           NORM     PDDL                                  #                                PL AT 4
050943,001404: 12,3255           00047                                    X1                                    
050944,001405: 12,3256           00001                                    0D                                    
050945,001406: 12,3257           56342                           SR1      DDV                                   #                                PL AT 2
050946,001407: 12,3260           75457                           SL*      SQRT                                  
050947,001408: 12,3261           20176                                    0          -3,1                       
050948,001409: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
050949,001410: 12,3263           02730                                    SNTH                                  
050950,001411: 12,3264           20607                                    6                                     
050951,001412: 12,3265           43271                           DDV      DAD                                   #                                PL AT 2
050952,001413: 12,3266           02734                                    1-CSTH                                
050953,001414: 12,3267           77626                           STADR                                          
050954,001415: 12,3270           77760                           STORE    COGAMAX                               
050955,001416: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
050956,001417: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1194

050958,001419: 12,3273           25302                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
050959,001420: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
050960,001421: 12,3275           11061                                    COGUPLIM                              
050961,001422: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
050962,001423: 12,3277           77745        UPLIM              DLOAD                                          
050963,001424: 12,3300           11061                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
050964,001425: 12,3301           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
050965,001426: 12,3302           77745        MAXCOGA            DLOAD                                          
050966,001427: 12,3303           02732                                    CSTH                                  
050967,001428: 12,3304           45261                           SR       DSU                                   #                                PL AT 0
050968,001429: 12,3305           20607                                    6                                     
050969,001430: 12,3306           77626                           STADR                                          
050970,001431: 12,3307           61041                           STODL    CSTH-RHO                              
050971,001432: 12,3310           02673                                    GEOMSGN                               
050972,001433: 12,3311           71240                           BMN      DLOAD                                 
050973,001434: 12,3312           25503                                    LOLIM                                 
050974,001435: 12,3313           02736                                    CSTH-RHO                              
050975,001436: 12,3314           56352                           SL1      DDV                                   
050976,001437: 12,3315           02730                                    SNTH                                  
050977,001438: 12,3316           77600                           BOV                                            
050978,001439: 12,3317           25503                                    LOLIM                                 
050979,001440: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
050980,001441: 12,3321           66214                           BON      SSP                                   
050981,001442: 12,3322           00715                                    GUESSW                                
050982,001443: 12,3323           25467                                    NOGUESS                               
050983,001444: 12,3324           00051                                    TWEEKIT                               
050984,001445: 12,3325           00001                                    00001                                 
050985,001446: 12,3326           77745                           DLOAD                                          
050986,001447: 12,3327           02766                                    COGA                                  
050987,001448: 
050988,001449: 12,3330           77605        LAMBLOOP           DMP                                            
050989,001450: 12,3331           02730                                    SNTH                                  
050990,001451: 12,3332           45342                           SR1      DSU                                   
050991,001452: 12,3333           02736                                    CSTH-RHO                              
050992,001453: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
050993,001454: 12,3335           00047                                    X1                                    
050994,001455: 12,3336           02734                                    1-CSTH                                
050995,001456: 12,3337           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
050996,001457: 12,3340           20170                                    0          -9D,1                      
050997,001458: 12,3341           53040                           BMN      BZE                                   
050998,001459: 12,3342           25417                                    NEGP                                  
050999,001460: 12,3343           25417                                    NEGP                                  
051000,001461: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
051001,001462: 12,3345           02766                                    COGA                                  
051002,001463: 12,3346           43316                           DSQ      DAD                                   
051003,001464: 12,3347           11045                                    D1/1024                               
051004,001465: 12,3350           41301                           NORM     DMP                                   
051005,001466: 12,3351           00047                                    X1                                    
051006,001467: 12,3352           02740                                    P                                     

Page 1195

051008,001469: 12,3353           44257                           SR*      BDSU                                  
051009,001470: 12,3354           20571                                    0          -8D,1                      
051010,001471: 12,3355           11043                                    D1/32                                 
051011,001472: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
051012,001473: 12,3357           02740                                    P                                     
051013,001474: 12,3360           45000                           BOV      CALL                                  
051014,001475: 12,3361           25422                                    HIENERGY                              
051015,001476: 12,3362           24767                                    GETX                                  
051016,001477: 12,3363           77745                           DLOAD                                          
051017,001478: 12,3364           00037                                    T                                     
051018,001479: 12,3365           16762                           STODL    TPREV                                 
051019,001480: 12,3366           00031                                    XI                                    
051020,001481: 12,3367           45014                           BON      CALL                                  
051021,001482: 12,3370           04310                                    INFINFLG                              
051022,001483: 12,3371           25417                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
051023,001484: 12,3372           24421                                    DELTIME                               
051024,001485: 12,3373           44200                           BOV      BDSU                                  
051025,001486: 12,3374           25437                                    BIGTIME                               
051026,001487: 12,3375           02671                                    TDESIRED                              
051027,001488: 12,3376           02760                           STORE    TERRLAMB                              
051028,001489: 12,3377           44246                           ABS      BDSU                                  
051029,001490: 12,3400           02764                                    EPSILONL                              
051030,001491: 12,3401           47044                           BPL      RTB                                   
051031,001492: 12,3402           25506                                    INITV                                 
051032,001493: 12,3403           24644                                    CHECKCTR                              
051033,001494: 12,3404           45030                           BHIZ     CALL                                  
051034,001495: 12,3405           25450                                    SUFFCHEK                              
051035,001496: 12,3406           24536                                    ITERATOR                              
051036,001497: 12,3407           53145                           DLOAD    BZE                                   
051037,001498: 12,3410           00155                                    MPAC                                  
051038,001499: 12,3411           25450                                    SUFFCHEK                              
051039,001500: 12,3412           77615                           DAD                                            
051040,001501: 12,3413           02766                                    COGA                                  
051041,001502: 12,3414           02766                           STORE    COGA                                  
051042,001503: 12,3415           77650                           GOTO                                           
051043,001504: 12,3416           25330                                    LAMBLOOP                              
051044,001505: 
051045,001506: 12,3417           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
051046,001507: 12,3420           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
051047,001508: 12,3421           25442                                    LOENERGY                              
051048,001509: 
051049,001510: 12,3422           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
051050,001511: 12,3423           00001                                    0                                     
051051,001512: 12,3424           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
051052,001513: 12,3425           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
051053,001514: 12,3426           70545        COMMONLM           DLOAD    SR1                                   
051054,001515: 12,3427           00015                                    DCOGA                                 

Page 1196

051056,001517: 12,3430           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
051057,001518: 12,3431           44254                           BZE      BDSU                                  
051058,001519: 12,3432           25450                                    SUFFCHEK                              
051059,001520: 12,3433           02766                                    COGA                                  
051060,001521: 12,3434           02766                           STORE    COGA                                  
051061,001522: 12,3435           77650                           GOTO                                           #  RESTART THIS LOOP
051062,001523: 12,3436           25330                                    LAMBLOOP                              
051063,001524: 
051064,001525: 12,3437           77745        BIGTIME            DLOAD                                          
051065,001526: 12,3440           02762                                    TPREV                                 
051066,001527: 12,3441           00037                           STORE    T                                     
051067,001528: 
051068,001529: 12,3442           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
051069,001530: 12,3443           00001                                    0                                     
051070,001531: 12,3444           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
051071,001532: 12,3445           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
051072,001533: 12,3446           77650                           GOTO                                           
051073,001534: 12,3447           25426                                    COMMONLM                              
051074,001535: 
051075,001536: 12,3450           51545        SUFFCHEK           DLOAD    ABS                                   
051076,001537: 12,3451           02760                                    TERRLAMB                              
051077,001538: 12,3452           41325                           PDDL     DMP                                   #                                PL AT 2D
051078,001539: 12,3453           02671                                    TDESIRED                              
051079,001540: 12,3454           11030                                    BEE17                                 
051080,001541: 12,3455           45215                           DAD      DSU                                   #                                PL AT 0D
051081,001542: 12,3456           11057                                    ONEBIT                                
051082,001543: 12,3457           43044                           BPL      SETGO                                 
051083,001544: 12,3460           25506                                    INITV                                 
051084,001545: 12,3461           02434                                    SOLNSW                                
051085,001546: 12,3462           25506                                    INITV                                 
051086,001547: 12,3463           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
051087,001548: 12,3464           00001                                    0                                     
051088,001549: 12,3465           02434                                    SOLNSW                                
051089,001550: 12,3466           02710                                    RTNLAMB                               
051090,001551: 
051091,001552: 12,3467           71331        NOGUESS            SSP      DLOAD                                 
051092,001553: 12,3470           00051                                    TWEEKIT                               
051093,001554: 12,3471           10000                                    20000                                 
051094,001555: 12,3472           00011                                    COGAMIN                               
051095,001556: 12,3473           65342                           SR1      PDDL                                  #                                PL AT 2
051096,001557: 12,3474           00017                                    COGAMAX                               
051097,001558: 12,3475           43342                           SR1      DAD                                   
051098,001559: 12,3476           77626                           STADR                                          #                                PL AT 0
051099,001560: 12,3477           75011                           STORE    COGA                                  
051100,001561: 12,3500           00015                           STORE    DCOGA                                 
051101,001562: 12,3501           77650                           GOTO                                           

Page 1197

051103,001564: 12,3502           25330                                    LAMBLOOP                              
051104,001565: 
051105,001566: 12,3503           52145        LOLIM              DLOAD    GOTO                                  
051106,001567: 12,3504           11063                                    COGLOLIM                              #  COGLOLIM=-.999511597
051107,001568: 12,3505           25320                                    MINCOGA                               
051108,001569: 
051109,001570: 12,3506           60345        INITV              DLOAD    NORM                                  
051110,001571: 12,3507           00041                                    R1                                    
051111,001572: 12,3510           00047                                    X1                                    
051112,001573: 12,3511           70525                           PDDL     SR1                                   #                                PL AT 2
051113,001574: 12,3512           02740                                    P                                     
051114,001575: 12,3513           77671                           DDV                                            #                                PL AT 0
051115,001576: 12,3514           75457                           SL*      SQRT                                  
051116,001577: 12,3515           20175                                    0          -4,1                       
051117,001578: 12,3516           72405                           DMP      SL1                                   
051118,001579: 12,3517           00021                                    ROOTMU                                
051119,001580: 12,3520           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
051120,001581: 12,3521           02766                                    COGA                                  
051121,001582: 12,3522           74261                           SL       VXSC                                  
051122,001583: 12,3523           20206                                    5                                     
051123,001584: 12,3524           02722                                    UR1                                   
051124,001585: 12,3525           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
051125,001586: 12,3526           76561                           VXSC     VSL1                                  
051126,001587: 12,3527           02674                                    UN                                    
051127,001588: 12,3530           53235                           VXV      VAD                                   #                                PL AT 0
051128,001589: 12,3531           02722                                    UR1                                   
051129,001590: 12,3532           77772                           VSL1                                           
051130,001591: 12,3533           02744                           STORE    VVEC                                  
051131,001592: 12,3534           53135                           SLOAD    BZE                                   
051132,001593: 12,3535           02702                                    VTARGTAG                              
051133,001594: 12,3536           25541                                    TARGETV                               
051134,001595: 12,3537           77650                           GOTO                                           
051135,001596: 12,3540           02710                                    RTNLAMB                               
051136,001597: 
051137,001598: 12,3541           45145        TARGETV            DLOAD    CALL                                  
051138,001599: 12,3542           02720                                    MAGVEC2                               
051139,001600: 12,3543           24701                                    LAMENTER                              
051140,001601: 12,3544           02703                           STORE    VTARGET                               
051141,001602: 12,3545           77650                           GOTO                                           
051142,001603: 12,3546           02710                                    RTNLAMB                               
051143,001604: 

Page 1198

051145,001606: 12,3547           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
051146,001607: 12,3550           02710                                    RTNTR                                 
051147,001608: 12,3551           00001                                    0                                     
051148,001609: 12,3552           77600                           BOV                                            
051149,001610: 12,3553           25554                                    +1                                    
051150,001611: 12,3554           63375                           VLOAD    PDVL                                  #                                PL AT 6
051151,001612: 12,3555           02655                                    RVEC                                  
051152,001613: 12,3556           02744                                    VVEC                                  
051153,001614: 12,3557           77624                           CALL                                           
051154,001615: 12,3560           11064                                    PARAM                                 
051155,001616: 12,3561           71200                           BOV      DLOAD                                 #                                PL AT 0
051156,001617: 12,3562           24764                                    COGAOVFL                              
051157,001618: 12,3563           11043                                    D1/32                                 
051158,001619: 12,3564           41225                           DSU      DMP                                   
051159,001620: 12,3565           02742                                    R1A                                   
051160,001621: 12,3566           02740                                    P                                     
051161,001622: 12,3567           41366                           SQRT     DMP                                   
051162,001623: 12,3570           02766                                    COGA                                  
051163,001624: 12,3571           74212                           SL4      VXSC                                  
051164,001625: 12,3572           02712                                    U2                                    
051165,001626: 12,3573           45325                           PDDL     DSU                                   #                                PL AT 6
051166,001627: 12,3574           11035                                    D1/64                                 
051167,001628: 12,3575           02742                                    R1A                                   
051168,001629: 12,3576           52361                           VXSC     VSU                                   #                                PL AT 0
051169,001630: 12,3577           02722                                    UR1                                   
051170,001631: 12,3600           53512                           VSL4     UNIT                                  
051171,001632: 12,3601           77600                           BOV                                            
051172,001633: 12,3602           25660                                    CIRCULAR                              
051173,001634: 12,3603           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
051174,001635: 12,3604           02756                                    RDESIRED                              #  36D=ECC (+3)
051175,001636: 12,3605           00047                                    X1                                    
051176,001637: 12,3606           41325                           PDDL     DMP                                   #                                PL AT 8
051177,001638: 12,3607           00041                                    R1                                    
051178,001639: 12,3610           02740                                    P                                     
051179,001640: 12,3611           56257                           SL*      DDV                                   #                                PL AT 6
051180,001641: 12,3612           20201                                    0,1                                   
051181,001642: 12,3613           56225                           DSU      DDV                                   
051182,001643: 12,3614           11041                                    D1/16                                 
051183,001644: 12,3615           00045                                    36D                                   #  36D=ECC (+3)
051184,001645: 12,3616           00031                           STORE    COSF                                  
051185,001646: 12,3617           63400                           BOV      DSQ                                   
051186,001647: 12,3620           25664                                    BADR2                                 
051187,001648: 12,3621           50021                           BDSU     BMN                                   
051188,001649: 12,3622           11037                                    D1/4                                  
051189,001650: 12,3623           25664                                    BADR2                                 
051190,001651: 12,3624           75366                           SQRT     SIGN                                  
051191,001652: 12,3625           02755                                    SGNRDOT                               
051192,001653: 12,3626           77614                           CLEAR                                          
051193,001654: 12,3627           04272                                    APSESW                                

Page 1199

051195,001656: 12,3630           76561        TERMNVEC           VXSC     VSL1                                  
051196,001657: 12,3631           02674                                    UN                                    
051197,001658: 12,3632           63235                           VXV      PDVL                                  #  VXCH WITH 0D                  PL AT 0,6
051198,001659: 12,3633           00001                                    0D                                    
051199,001660: 12,3634           53361                           VXSC     VAD                                   #                                PL AT 0
051200,001661: 12,3635           00031                                    COSF                                  
051201,001662: 12,3636           41572                           VSL1     PUSH                                  #  0D=U2                         PL AT 6
051202,001663: 
051203,001664: 12,3637           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
051204,001665: 12,3640           02722                                    UR1                                   
051205,001666: 12,3641           25756                                    DP1/4                                 
051206,001667: 12,3642           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
051207,001668: 12,3643           25644                                    +1                                    #  CLEAR OVFIND IF SET
051208,001669: 12,3644           26732                           STOVL    CSTH                                  #  CSTH (+1)
051209,001670: 12,3645           02722                                    UR1                                   
051210,001671: 12,3646           76435                           VXV      VSL1                                  
051211,001672: 12,3647           72441                           DOT      SL1                                   
051212,001673: 12,3650           02674                                    UN                                    
051213,001674: 12,3651           16730                           STODL    SNTH                                  #  SNTH (+1)
051214,001675: 12,3652           02740                                    P                                     
051215,001676: 12,3653           77624                           CALL                                           
051216,001677: 12,3654           24767                                    GETX                                  
051217,001678: 12,3655           77614                           CLRGO                                          
051218,001679: 12,3656           02634                                    SOLNSW                                
051219,001680: 12,3657           24747                                    COMMNOUT                              
051220,001681: 
051221,001682: 12,3660           43001        CIRCULAR           SETPD    SETGO                                 
051222,001683: 12,3661           00001                                    0                                     
051223,001684: 12,3662           02434                                    SOLNSW                                
051224,001685: 12,3663           25742                                    ABTCONIC                              
051225,001686: 
051226,001687: 12,3664           75345        BADR2              DLOAD    SIGN                                  
051227,001688: 12,3665           24005                                    LODPHALF                              
051228,001689: 12,3666           00031                                    COSF                                  
051229,001690: 12,3667           14031                           STODL    COSF                                  
051230,001691: 12,3670           24007                                    KEPZERO                               
051231,001692: 12,3671           77614                           SETGO                                          
051232,001693: 12,3672           04032                                    APSESW                                
051233,001694: 12,3673           25630                                    TERMNVEC                              
051234,001695: 

Page 1200

051236,001697: 12,3674           40220        APSIDES            STQ      SETPD                                 #                                PL AT 0
051237,001698: 12,3675           02710                                    RTNAPSE                               
051238,001699: 12,3676           00001                                    0D                                    
051239,001700: 12,3677           77600                           BOV                                            
051240,001701: 12,3700           25701                                    +1                                    
051241,001702: 12,3701           63375                           VLOAD    PDVL                                  #                                PL AT 6
051242,001703: 12,3702           02655                                    RVEC                                  
051243,001704: 12,3703           02744                                    VVEC                                  
051244,001705: 12,3704           77624                           CALL                                           
051245,001706: 12,3705           11064                                    PARAM                                 
051246,001707: 12,3706           77600                           BOV                                            #                                PL AT 0
051247,001708: 12,3707           25710                                    GETECC                                
051248,001709: 12,3710           42405        GETECC             DMP      SL4                                   
051249,001710: 12,3711           02742                                    R1A                                   
051250,001711: 12,3712           75421                           BDSU     SQRT                                  
051251,001712: 12,3713           11035                                    D1/64                                 
051252,001713: 12,3714           02752                           STORE    ECC                                   
051253,001714: 12,3715           65215                           DAD      PDDL                                  #                                PL AT 2
051254,001715: 12,3716           11031                                    D1/8                                  
051255,001716: 12,3717           00041                                    R1                                    
051256,001717: 12,3720           72405                           DMP      SL1                                   
051257,001718: 12,3721           02740                                    P                                     
051258,001719: 12,3722           77671                           DDV                                            #                                PL AT 0
051259,001720: 12,3723           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)            PL AT 2
051260,001721: 12,3724           02742                                    R1A                                   
051261,001722: 12,3725           00047                                    X1                                    
051262,001723: 12,3726           53725                           PDDL     SL*                                   #                                PL AT 4
051263,001724: 12,3727           00041                                    R1                                    
051264,001725: 12,3730           20174                                    0          -5,1                       
051265,001726: 12,3731           45271                           DDV      DSU                                   #                                PL AT 2,0
051266,001727: 12,3732           50000                           BOV      BMN                                   
051267,001728: 12,3733           25737                                    INFINAPO                              
051268,001729: 12,3734           25737                                    INFINAPO                              
051269,001730: 12,3735           77650                           GOTO                                           
051270,001731: 12,3736           02710                                    RTNAPSE                               
051271,001732: 12,3737           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
051272,001733: 12,3740           24020                                    LDPOSMAX                              
051273,001734: 12,3741           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
051274,001735: 

Page 1201

051276,001737: 12,3742           77776        ABTCONIC           EXIT                                           
051277,001738: 12,3743           05652                           TC       POODOO                                
051278,001739: 12,3744           00607                           OCT      00607                                 
051279,001740: 

Page 1202

051281,001742: 12,3745  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
051282,001743: 
051283,001744:                                                                                                  #  ERASABLE ASSIGNMENTS
051284,001745: 
051285,001746:                                                                                                  #  KEPLER SUBROUTINE
051286,001747: 
051287,001748:                                                                                                  #        INPUT -
051288,001749:                                                                                                  #  RRECT         ERASE   +5
051289,001750:                                                                                                  #  VRECT         ERASE   +5
051290,001751:                                                                                                  #  TAU.          ERASE   +1

Handwritten "NEW" next to XKEP.

051292,001753:                                                                                                  #  XKEP          ERASE   +1
051293,001754:                                                                                                  #  TC            ERASE   +1
051294,001755:                                                                                                  #  XPREV         ERASE   +1
051295,001756: 12,3745                        1/MU               EQUALS   14D                                   
051296,001757: 12,3745                        ROOTMU             EQUALS   16D                                   
051297,001758: 12,3745                        1/ROOTMU           EQUALS   18D                                   
051298,001759: 
051299,001760:                                                                                                  #        OUTPUT -
051300,001761:                                                                                                  #  RCV           ERASE   +5
051301,001762:                                                                                                  #  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.

051303,001764:                                                                                                  #  RC            ERASE   +1
051304,001765:                                                                                                  #  XPREV         ERASE   +1
051305,001766: 
051306,001767:                                                                                                  #        DEBRIS -
051307,001768: 12,3745                        ALPHA              EQUALS   8D                                    
051308,001769: 12,3745                        XMAX               EQUALS   10D                                   
051309,001770: 12,3745                        XMIN               EQUALS   12D                                   
051310,001771: 12,3745                        X                  EQUALS   20D                                   
051311,001772: 12,3745                        XI                 EQUALS   24D                                   
051312,001773: 12,3745                        S(XI)              EQUALS   26D                                   
051313,001774: 12,3745                        XSQC(XI)           EQUALS   28D                                   
051314,001775: 12,3745                        T                  EQUALS   30D                                   
051315,001776: 12,3745                        R1                 EQUALS   32D                                   
051316,001777: 12,3745                        KEPC1              EQUALS   34D                                   
051317,001778: 12,3745                        KEPC2              EQUALS   36D                                   
051318,001779:                                                                                                  #  DELX          ERASE   +1
051319,001780:                                                                                                  #  DELT          ERASE   +1
051320,001781:                                                                                                  #  URRECT        ERASE   +5
051321,001782:                                                                                                  #  RCNORM        ERASE   +1
051322,001783:                                                                                                  #  XPREV         EQUALS  XKEP
051323,001784: 
051324,001785: 
051325,001786:                                                                                                  #  LAMBERT SUBROUTINE
051326,001787: 
051327,001788:                                                                                                  #        INPUT -
051328,001789:                                                                                                  #  R1VEC         ERASE   +5
051329,001790:                                                                                                  #  R2VEC         ERASE   +5
051330,001791:                                                                                                  #  TDESIRED      ERASE   +1
051331,001792:                                                                                                  #  GEOMSGN       ERASE   +0
051332,001793:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT

Page 1203

051334,001795:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
051335,001796:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
051336,001797:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
051337,001798:                                                                                                  #  VTARGTAG      ERASE   +0
051338,001799:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
051339,001800: 
051340,001801:                                                                                                  #        OUTPUT -
051341,001802:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
051342,001803:                                                                                                  #  V1VEC         EQUALS  MPAC
051343,001804: 
051344,001805:                                                                                                  #        DEBRIS -
051345,001806:                                                                                                  #  RTNLAMB       ERASE   +0
051346,001807:                                                                                                  #  U2            ERASE   +5
051347,001808:                                                                                                  #  MAGVEC2       ERASE   +1
051348,001809:                                                                                                  #  UR1           ERASE   +5

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

051350,001811:                                                                                                  #  R1            EQUALS  31D
051351,001812:                                                                                                  #  UN            ERASE   +5
051352,001813:                                                                                                  #  SNTH          ERASE   +1
051353,001814:                                                                                                  #  CSTH          ERASE   +1
051354,001815:                                                                                                  #  1-CSTH        ERASE   +1
051355,001816:                                                                                                  #  CSTH-RHO      ERASE   +1
051356,001817: 12,3745                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
051357,001818: 12,3745                        COGAMIN            EQUALS   8D                                    
051358,001819: 12,3745                        DCOGA              EQUALS   12D                                   
051359,001820:                                                                                                  #  TWEEKIT       EQUALS  40D
051360,001821:                                                                                                  #  P             ERASE   +1
051361,001822:                                                                                                  #  COGA          ERASE   +1
051362,001823:                                                                                                  #  R1A           ERASE   +1
051363,001824:                                                                                                  #  X             EQUALS  20D
051364,001825:                                                                                                  #  XSQ           EQUALS  22D
051365,001826:                                                                                                  #  XI            EQUALS  24D
051366,001827:                                                                                                  #  S(XI)         EQUALS  26D
051367,001828:                                                                                                  #  XSQC(XI)      EQUALS  28D
051368,001829:                                                                                                  #  T             EQUALS  30D
051369,001830:                                                                                                  #  KEPC1         EQUALS  34D
051370,001831:                                                                                                  #  KEPC2         EQUALS  36D
051371,001832:                                                                                                  #  SLOPESW
051372,001833:                                                                                                  #  SOLNSW
051373,001834: 
051374,001835:                                                                                                  #        OTHERS -
051375,001836:                                                                                                  #  RVEC          EQUALS  R1VEC
051376,001837:                                                                                                  #  VVEC          ERASE   +5
051377,001838:                                                                                                  #  COGAFLAG
051378,001839:                                                                                                  #  RVSW
051379,001840:                                                                                                  #  INFINFLG
051380,001841:                                                                                                  #  APSESW
051381,001842:                                                                                                  #  360SW
051382,001843:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
051383,001844:                                                                                                  #  ECC           ERASE   +1
051384,001845:                                                                                                  #  RTNTR         EQUALS  RTNLAMB

Page 1204

051386,001847:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
051387,001848:                                                                                                  #  R2            EQUALS  MAGVEC2
051388,001849: 12,3745                        COSF               EQUALS   24D                                   
051389,001850:                                                                                                  #  RTNPRM        ERASE   +0
051390,001851:                                                                                                  #  SGNRDOT       ERASE   +0
051391,001852:                                                                                                  #  RDESIRED      ERASE   +1
051392,001853: 
051393,001854: 
051394,001855:                                                                                                  #  ITERATOR SUBROUTINE
051395,001856:                                                                                                  #  ORDERSW
051396,001857: 12,3745                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
051397,001858: 12,3745                        MIN                EQUALS   8D                                    

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

051399,001860:                                                                                                  #  INDEP         ERASE   +1
051400,001861: 12,3745                        DELINDEP           EQUALS   12D                                   
051401,001862: 12,3745                        ITERCTR            EQUALS   22D                                   
051402,001863: 12,3745                        DEP                EQUALS   30D                                   

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

051404,001865:                                                                                                  #  DELDEP        ERASE   +1

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

051406,001867:                                                                                                  #  DEPREV        ERASE   +1
051407,001868: 12,3745                        TWEEKIT            EQUALS   40D                                   
051408,001869: 
051409,001870: 
051410,001871:                                                                                                  #  MORE KEPLER
051411,001872:                                                                                                  #  EPSILONT      ERASE   +1
051412,001873: 
051413,001874: 
051414,001875:                                                                                                  #  MORE LAMBERT
051415,001876:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
051416,001877:                                                                                                  #  TPREV         EQUALS  DEPREV
051417,001878: 
051418,001879:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD

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