Source Code

This source code is very close to the Apollo Guidance Computer software for the Apollo 13 Lunar module. This revision of the Luminary 131 program is from December of 1969, whereas there was a later revision in January of 1970, and still another revision in February, which is the code that flew on the mission. As far as this transcription is concerned, it was originally from a copy made in 1991 of a printout from the collection of AGC developer Don Eyles for collector David Craig. It was subsequently scanned by Gary Neff, reprocessed for online presentation at the now-discontinued History of Recent Science and Technology (HRST) website of MIT's Dibner Institute (the full-quality scans being discarded in the process), and finally transcribed by Ron Burkey for the Virtual AGC Project. Although a high-quality replacement scan for a completely illegible page was later provided by Gary Neff, the reduced legibility of the reprocessed HRST posting nevertheless caused many errors to be introduced into the transcription. Accordingly, a second scan of the same physical printout was made in 2017 for the Virtual AGC Project's collection at the Internet Archive, and used to correct the transcription errors. All of the scanned materials mentioned, as well as other Luminary 131 related material, are available online. Don Eyles apprently made additional hand-written notes in printout between 1991 and 2017, so the two scans are not identical in that respect. The page-headings in the printout read, in part:
	GAP:  ASSEMBLE REVISION 131 OF AGC PROGRAM LUMINARY BY NASA 2021112-091
	17:53 DEC. 19, 1969
Note that the date is the date the printout was made, not the date on which the program revision was released, although these happen to be very close together.

048378,000002:                                                                                                  ## Copyright:   Public domain.
048379,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
048380,000004:                                                                                                  ## Purpose:     A section of Luminary 1C, revision 131.
048381,000005:                                                                                                  ##              It is part of the source code for the Lunar Module's (LM)
048382,000006:                                                                                                  ##              Apollo Guidance Computer (AGC) for Apollo 13.
048383,000007:                                                                                                  ##              This file is intended to be a faithful transcription, except
048384,000008:                                                                                                  ##              that the code format has been changed to conform to the
048385,000009:                                                                                                  ##              requirements of the yaYUL assembler rather than the
048386,000010:                                                                                                  ##              original YUL assembler.
048387,000011:                                                                                                  ## Reference:   pp. 1153-1197
048388,000012:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
048389,000013:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
048390,000014:                                                                                                  ## Mod history: 06/01/03 RSB.   Began transcribing.
048391,000015:                                                                                                  ##              05/14/05 RSB    Corrected website reference above.
048392,000016:                                                                                                  ##              2010-08-24 JL   Fixed page 1162 number.
048393,000017:                                                                                                  ##              2017-01-06 RSB  Page numbers now agree with those on the
048394,000018:                                                                                                  ##                              original hardcopy, as opposed to the PDF page
048395,000019:                                                                                                  ##                              numbers in 1701.pdf.
048396,000020:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH.
048397,000021:                                                                                                  ##              2017-02-27 RSB  Proofed comment text using octopus/ProoferComments.
048398,000022:                                                                                                  ##              2017-03-01 RSB  Fixed lingering comment-text typos.
048399,000023:                                                                                                  ##                              Added in ##-comments with hyperlinks for some of the
048400,000024:                                                                                                  ##                              documents reference in the code comments.  (Just as
048401,000025:                                                                                                  ##                              an experiment; I didn't do it systematically.)
048402,000026:                                                                                                  ##              2017-03-14 RSB  Comment-text fixes noted in proofing Luminary 116.
048403,000027:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
048404,000028:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
048405,000029:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
048406,000030:                                                                                                  ##                              Luminary 99 vs Comanche 55.
048407,000031: 

Page 1153

048409,000033:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
048410,000034:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048411,000035:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048412,000036: 
048413,000037:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048414,000038:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
048415,000039:                                                                                                  #        INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
048416,000040:                                                                                                  #        5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
048417,000041:                                                                                                  #        RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
048418,000042:                                                                                                  #        INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
048419,000043:                                                                                                  #        EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
048420,000044:                                                                                                  #        THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
048421,000045:                                                                                                  #        DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
048422,000046:                                                                                                  #        TINES APPROPRIATELY.
048423,000047: 
048424,000048:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
048425,000049:                                                                                                  #        BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
048426,000050:                                                                                                  #        DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
048427,000051: 
048428,000052:                                                                                                  #  RESTRICTIONS -
048429,000053:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
048430,000054:                                                                                                  #        LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
048431,000055:                                                                                                  #        TORIES COULD BE HANDLED.
048432,000056: 
048433,000057:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
048434,000058:                                                                                                  #        THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
048435,000059:                                                                                                  #        TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
048436,000060: 

Page 1154

048438,000062:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
048439,000063:                                                                                                  #  MOD NO. -1                                                    LOG SECTION - CONIC SUBROUTINES
048440,000064:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
048441,000065:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
048442,000066:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON:  SUPPRESSION OF X-MODULO-ING
048443,000067:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON:  CLEAR OVFIND AT KEPLER ENTRY
048444,000068: 
048445,000069:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048446,000070:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
048447,000071:                                                                                                  #        BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
048448,000072:                                                                                                  #        SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON. THE
048449,000073:                                                                                                  #        USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
048450,000074:                                                                                                  #        INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
048451,000075:                                                                                                  #        TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
048452,000076: 
048453,000077:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
048454,000078:                                                                                                  #        EXTRAPOLATING THE POSITION BACKWARD IN TIME.
048455,000079: 
048456,000080:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
048457,000081:                                                                                                  #        MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
048458,000082: 
048459,000083:                                                                                                  #  THE RESTRICTIONS ARE -
048460,000084:                                                                                                  #        1.      (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
048461,000085:                                                                                                  #        2.      THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
048462,000086:                                                                                                  #                ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048463,000087: 
048464,000088:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
048465,000089:                                                                                                  #        GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
048466,000090:                                                                                                  #        FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
048467,000091: 

You can find some the references mentioned herein at:

048469,000093:                                                                                                  #  REFERENCES -
048470,000094:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
048471,000095:                                                                                                  #        MEMO 67-4.
048472,000096: 
048473,000097:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048474,000098: 
048475,000099:                                                                                                  #                * SCALE FACTOR *
048476,000100:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048477,000101:                                                                                                  #        --------*--------------*                         -----------------------
048478,000102:                                                                                                  #        RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048479,000103:                                                                                                  #                * +27 FOR MOON *

Page 1155

048481,000105:                                                                                                  #        VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048482,000106:                                                                                                  #                * +5 FOR MOON  *
048483,000107:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048484,000108:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
048485,000109:                                                                                                  #        TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
048486,000110:                                                                                                  #                *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
048487,000111:                                                                                                  #        XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS).  SIGN SHOULD AGREE WITH THAT OF TAU.
048488,000112:                                                                                                  #                * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
048489,000113:                                                                                                  #                *              *    MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
048490,000114:                                                                                                  #                *              *    BY KEPLER TO A POOR BUT VALID GUESS.
048491,000115:                                                                                                  #        TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
048492,000116:                                                                                                  #        XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
048493,000117:                                                                                                  #                * +16 FOR MOON *    ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
048494,000118: 
048495,000119:                                                                                                  #  SUBROUTINES CALLED -
048496,000120:                                                                                                  #        DELTIME
048497,000121: 
048498,000122:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048499,000123:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048500,000124:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC.  PL IS AT 0.
048501,000125:                                                                                                  #        KEPRTN          ...                     CONTINUE
048502,000126: 
048503,000127:                                                                                                  #        KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
048504,000128:                                                                                                  #        THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
048505,000129:                                                                                                  #        ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
048506,000130: 
048507,000131:                                                                                                  #  ABORT EXIT MODES -
048508,000132:                                                                                                  #        NONE
048509,000133: 
048510,000134:                                                                                                  #  OUTPUT -
048511,000135:                                                                                                  #                * SCALE FACTOR *
048512,000136:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048513,000137:                                                                                                  #        --------*--------------*                         -----------------------
048514,000138:                                                                                                  #        RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
048515,000139:                                                                                                  #                * +27 FOR MOON *
048516,000140:                                                                                                  #        VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
048517,000141:                                                                                                  #                * +5 FOR MOON  *
048518,000142:                                                                                                  #        TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED.  ALWAYS LESS THAN ONE PERIOD.
048519,000143:                                                                                                  #        XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED.  ALWAYS LESS THAN THE X
048520,000144:                                                                                                  #                * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1156

048522,000146:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048523,000147: 
048524,000148:                                                                                                  #  DEBRIS -
048525,000149: 
048526,000150:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048527,000151: 
048528,000152:                                                                                                  #                * SCALE FACTOR *
048529,000153:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048530,000154:                                                                                                  #        --------*--------------*                         -----------------------
048531,000155:                                                                                                  #        URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
048532,000156:                                                                                                  #        R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
048533,000157:                                                                                                  #                * +27 FOR MOON *
048534,000158:                                                                                                  #        ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
048535,000159:                                                                                                  #                * -20 FOR MOON *
048536,000160:                                                                                                  #        TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN CENTISECS.  WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
048537,000161:                                                                                                  #                *              *TAU. OF LESS THAN ONE PERIOD.
048538,000162: 
048539,000163:                                                                                                  #  PARAMETERS OF NO USE -
048540,000164:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
048541,000165: 

Page 1157

048543,000167:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
048544,000168:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048545,000169:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048546,000170: 
048547,000171:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048548,000172:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
048549,000173:                                                                                                  #        FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
048550,000174:                                                                                                  #        A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
048551,000175:                                                                                                  #        SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
048552,000176:                                                                                                  #        CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
048553,000177:                                                                                                  #        UTILIZED IN THE COMPUTATION.
048554,000178: 
048555,000179:                                                                                                  #  THE RESTRICTIONS ARE -
048556,000180:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
048557,000181:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
048558,000182:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048559,000183:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048560,000184:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
048561,000185:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
048562,000186:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048563,000187: 
048564,000188:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
048565,000189:                                                                                                  #        GUESS OF THE INDEPENDENT VARIABLE, COGA.                           THE AGC COMPUTATION TIME IS APPROXIMATE-
048566,000190:                                                                                                  #        LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
048567,000191: 

You can find some the references mentioned herein at:

048569,000193:                                                                                                  #  REFERENCES -
048570,000194:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
048571,000195:                                                                                                  #        SGA MEMO 67-4.
048572,000196: 
048573,000197:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048574,000198: 
048575,000199:                                                                                                  #                * SCALE FACTOR *
048576,000200:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048577,000201:                                                                                                  #        --------*--------------*                         -----------------------
048578,000202:                                                                                                  #        R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048579,000203:                                                                                                  #                * +27 FOR MOON *
048580,000204:                                                                                                  #        R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
048581,000205:                                                                                                  #                * +27 FOR MOON *
048582,000206:                                                                                                  #        TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
048583,000207:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048584,000208:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
048585,000209:                                                                                                  #        GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
048586,000210:                                                                                                  #        GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1158

048588,000212:                                                                                                  #                *              *COGA IS TO BE USED BY LAMBERT
048589,000213:                                                                                                  #        COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
048590,000214:                                                                                                  #                               *IGNORED IF GUESSW IS SET.
048591,000215:                                                                                                  #        NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
048592,000216:                                                                                                  #                *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
048593,000217:                                                                                                  #        UN      * +1           *DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
048594,000218:                                                                                                  #                *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
048595,000219:                                                                                                  #        VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
048596,000220:                                                                                                  #                *              *AT R1VEC.
048597,000221:                                                                                                  #        ITERCTR * NONE         *A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
048598,000222:                                                                                                  #                *              *(AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME).  AT LEAST ONE OF THESE MUST
048599,000223:                                                                                                  #                *              *ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
048600,000224:                                                                                                  #                *              *TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
048601,000225: 
048602,000226:                                                                                                  #  SUBROUTINES CALLED -
048603,000227:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
048604,000228: 
048605,000229:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048606,000230:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048607,000231:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
048608,000232:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
048609,000233:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
048610,000234:                                                                                                  #        L+3             SOLNSW
048611,000235:                                                                                                  #        L+4             LAMABORT
048612,000236: 
048613,000237:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
048614,000238:                                                                                                  #        GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
048615,000239: 
048616,000240:                                                                                                  #  ABORT EXIT MODES -
048617,000241:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
048618,000242:                                                                                                  #        WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
048619,000243:                                                                                                  #        ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
048620,000244:                                                                                                  #        LAMABORT        DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
048621,000245:                                                                                                  #                                1-CSTH          360 DEGREES.
048622,000246:                                                                                                  #                        DSU     BMN
048623,000247:                                                                                                  #                                ONEBIT
048624,000248:                                                                                                  #                                CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
048625,000249:                                                                                                  #                        DLOAD   DAD
048626,000250:                                                                                                  #                                TDESIRED
048627,000251:                                                                                                  #                                SOMETIME
048628,000252:                                                                                                  #                        STCALL  TDESIRED        INCREASE TDESIRED
048629,000253:                                                                                                  #                                LAMBERT
048630,000254: 

Page 1159

048632,000256:                                                                                                  #  OUTPUT -
048633,000257:                                                                                                  #                * SCALE FACTOR *
048634,000258:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048635,000259:                                                                                                  #        --------*--------------*                         -----------------------
048636,000260:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
048637,000261:                                                                                                  #                * +5 FOR MOON  *PROBLEM.
048638,000262:                                                                                                  #        VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
048639,000263:                                                                                                  #                * +5 FOR MOON  *
048640,000264:                                                                                                  #        SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
048641,000265:                                                                                                  #                *              *SOLUTION EXISTS.
048642,000266: 
048643,000267:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048644,000268: 
048645,000269:                                                                                                  #  DEBRIS -
048646,000270:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048647,000271:                                                                                                  #                * SCALE FACTOR *
048648,000272:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048649,000273:                                                                                                  #        --------*--------------*                         -----------------------
048650,000274:                                                                                                  #        SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
048651,000275:                                                                                                  #        CSTH    * +1           *DP COSINE OF ANGLE
048652,000276:                                                                                                  #        1-CSTH  * +2           *DP 1-CSTH
048653,000277:                                                                                                  #        COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
048654,000278:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
048655,000279:                                                                                                  #        R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
048656,000280:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
048657,000281:                                                                                                  #                * +27 FOR MOON *
048658,000282:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF R1VEC
048659,000283:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF R2VEC
048660,000284: 
048661,000285:                                                                                                  #        PARAMETERS OF NO USE
048662,000286:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
048663,000287:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
048664,000288: 

Page 1160

048666,000290:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
048667,000291:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048668,000292:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048669,000293: 
048670,000294:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048671,000295:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
048672,000296:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
048673,000297:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
048674,000298:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
048675,000299:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
048676,000300:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
048677,000301: 
048678,000302:                                                                                                  #  THE RESTRICTIONS ARE -
048679,000303:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048680,000304:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048681,000305:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
048682,000306:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048683,000307: 
048684,000308:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
048685,000309: 

You can find some the references mentioned herein at:

048687,000311:                                                                                                  #  REFERENCES -
048688,000312:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
048689,000313: 
048690,000314:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048691,000315:                                                                                                  #                * SCALE FACTOR *
048692,000316:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048693,000317:                                                                                                  #        --------*--------------*                         -----------------------
048694,000318:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048695,000319:                                                                                                  #                * +27 FOR MOON *
048696,000320:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048697,000321:                                                                                                  #                * +5 FOR MOON  *
048698,000322:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
048699,000323:                                                                                                  #        CSTH    * +1           *DP COSINE OF THE ANGLE
048700,000324:                                                                                                  #        RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
048701,000325:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
048702,000326:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048703,000327:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
048704,000328: 
048705,000329:                                                                                                  #  SUBROUTINES CALLED -

Page 1161

048707,000331:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
048708,000332: 
048709,000333:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048710,000334:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
048711,000335:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048712,000336:                                                                                                  #        L+1             RVSW
048713,000337:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
048714,000338:                                                                                                  #        L+3     ...                     CONTINUE
048715,000339: 
048716,000340:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
048717,000341:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048718,000342:                                                                                                  #        L+1             RVSW
048719,000343:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
048720,000344:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
048721,000345:                                                                                                  #        L+3     STOVL   NEWVVEC
048722,000346:                                                                                                  #        L+4     STADR
048723,000347:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
048724,000348:                                                                                                  #        L+6     ...                     CONTINUE
048725,000349: 
048726,000350:                                                                                                  #  ABORT EXIT MODES -
048727,000351:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
048728,000352:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
048729,000353: 
048730,000354:                                                                                                  #  OUTPUT -
048731,000355:                                                                                                  #                * SCALE FACTOR *
048732,000356:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048733,000357:                                                                                                  #        --------*--------------*                         -----------------------
048734,000358:                                                                                                  #        T(30D)  * +28          *DP TRANSFER TIME IN CENTISECONDS
048735,000359:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
048736,000360:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
048737,000361:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
048738,000362:                                                                                                  #                *              *CLEAR IF NOT.
048739,000363: 
048740,000364:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
048741,000365: 
048742,000366:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
048743,000367:                                                                                                  #         MPAC +5* +5 FOR MOON  *
048744,000368:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
048745,000369:                                                                                                  #                * +27 FOR MOON *
048746,000370: 
048747,000371:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048748,000372: 

Page 1162

048750,000374:                                                                                                  #  DEBRIS -
048751,000375:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048752,000376:                                                                                                  #                * SCALE FACTOR *
048753,000377:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048754,000378:                                                                                                  #        --------*--------------*                         -----------------------
048755,000379:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
048756,000380:                                                                                                  #                * +27 FOR MOON *
048757,000381:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
048758,000382:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
048759,000383:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
048760,000384:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
048761,000385:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
048762,000386:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
048763,000387: 
048764,000388:                                                                                                  #  PARAMETERS OF NO USE -
048765,000389:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
048766,000390:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
048767,000391: 

Page 1163

048769,000393:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
048770,000394:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
048771,000395:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
048772,000396: 
048773,000397:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048774,000398:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
048775,000399:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
048776,000400:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
048777,000401:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
048778,000402:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
048779,000403:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
048780,000404: 
048781,000405:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
048782,000406:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
048783,000407: 
048784,000408:                                                                                                  #  THE RESTRICTIONS ARE -
048785,000409:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048786,000410:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048787,000411:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
048788,000412:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048789,000413:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
048790,000414:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
048791,000415:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
048792,000416: 
048793,000417:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
048794,000418: 

You can find some the references mentioned herein at:

048796,000420:                                                                                                  #  REFERENCES -
048797,000421:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
048798,000422: 
048799,000423:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048800,000424:                                                                                                  #                * SCALE FACTOR *
048801,000425:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048802,000426:                                                                                                  #        --------*--------------*                         -----------------------
048803,000427:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048804,000428:                                                                                                  #                * +27 FOR MOON *
048805,000429:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048806,000430:                                                                                                  #                * +5 FOR MOON  *
048807,000431:                                                                                                  #        RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
048808,000432:                                                                                                  #                * +27 FOR MOON *COMPUTED.
048809,000433:                                                                                                  #        SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
048810,000434:                                                                                                  #                *              *POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1164

048812,000436:                                                                                                  #                *              *SINGLE-VALUED PROBLEM.
048813,000437:                                                                                                  #        X1 (38D)*       NONE   *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048814,000438:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
048815,000439:                                                                                                  #        RVSW    *       NONE   *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
048816,000440:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
048817,000441: 
048818,000442:                                                                                                  #  SUBROUTINES CALLED -
048819,000443:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
048820,000444: 
048821,000445:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048822,000446:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
048823,000447:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048824,000448:                                                                                                  #        L+1             RVSW
048825,000449:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
048826,000450:                                                                                                  #        L+3     ...                     CONTINUE
048827,000451: 
048828,000452:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
048829,000453:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048830,000454:                                                                                                  #        L+1             RVSW
048831,000455:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
048832,000456:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
048833,000457:                                                                                                  #        L+3     STOVL   NEWVVEC
048834,000458:                                                                                                  #        L+4     STADR
048835,000459:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
048836,000460:                                                                                                  #        L+6     ...                     CONTINUE
048837,000461: 
048838,000462:                                                                                                  #  ABORT EXIT MODES -
048839,000463:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
048840,000464:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
048841,000465: 
048842,000466:                                                                                                  #  OUTPUT -
048843,000467:                                                                                                  #                * SCALE FACTOR *
048844,000468:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048845,000469:                                                                                                  #        --------*--------------*                         -----------------------
048846,000470:                                                                                                  #        T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
048847,000471:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
048848,000472:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
048849,000473:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
048850,000474:                                                                                                  #                *              *CLEAR IF NOT.
048851,000475:                                                                                                  #        APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1165

048853,000477:                                                                                                  #                *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
048854,000478:                                                                                                  #                *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
048855,000479:                                                                                                  #                *              *APOCENTER.
048856,000480:                                                                                                  #        SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
048857,000481:                                                                                                  #                               *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
048858,000482:                                                                                                  #                               *MINUS-18, THE SWITCH IS CLEAR.
048859,000483: 
048860,000484:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
048861,000485:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
048862,000486:                                                                                                  #         MPAC +5* +5 FOR MOON  *
048863,000487:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
048864,000488:                                                                                                  #                * +27 FOR MOON *
048865,000489: 
048866,000490:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048867,000491: 
048868,000492:                                                                                                  #  DEBRIS -
048869,000493:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048870,000494:                                                                                                  #                * SCALE FACTOR *
048871,000495:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048872,000496:                                                                                                  #        --------*--------------*                         -----------------------
048873,000497:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
048874,000498:                                                                                                  #                * +27 FOR MOON *
048875,000499:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
048876,000500:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
048877,000501:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
048878,000502:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
048879,000503:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
048880,000504:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
048881,000505:                                                                                                  #        CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
048882,000506:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
048883,000507: 
048884,000508:                                                                                                  #        PARAMETERS OF NO USE -
048885,000509:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
048886,000510:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
048887,000511: 
048888,000512: 

Page 1166

048890,000514:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
048891,000515:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
048892,000516:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
048893,000517: 
048894,000518:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048895,000519:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
048896,000520:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
048897,000521:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
048898,000522:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
048899,000523:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
048900,000524: 
048901,000525:                                                                                                  #  THE RESTRICTIONS ARE -
048902,000526:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
048903,000527:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
048904,000528:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
048905,000529:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048906,000530:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
048907,000531: 

You can find some the references mentioned herein at:

048909,000533:                                                                                                  #  REFERENCES -
048910,000534:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
048911,000535: 
048912,000536:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048913,000537:                                                                                                  #                * SCALE FACTOR *
048914,000538:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048915,000539:                                                                                                  #        --------*--------------*                         -----------------------
048916,000540:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048917,000541:                                                                                                  #                * +27 FOR MOON *
048918,000542:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048919,000543:                                                                                                  #                * +5 FOR MOON  *
048920,000544:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048921,000545:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
048922,000546: 
048923,000547:                                                                                                  #  SUBROUTINES CALLED -
048924,000548:                                                                                                  #        PARAM, GEOM
048925,000549: 
048926,000550:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1167

048928,000552:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
048929,000553:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048930,000554:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
048931,000555:                                                                                                  #        L+2     STODL   APOAPSE
048932,000556:                                                                                                  #        L+3             0D
048933,000557:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
048934,000558:                                                                                                  #        L+5     ...                     CONTINUE
048935,000559: 
048936,000560:                                                                                                  #  OUTPUT -
048937,000561:                                                                                                  #                * SCALE FACTOR *
048938,000562:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048939,000563:                                                                                                  #        --------*--------------*                         -----------------------
048940,000564:                                                                                                  #        MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
048941,000565:                                                                                                  #                * +27 FOR MOON *
048942,000566:                                                                                                  #        0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
048943,000567:                                                                                                  #                * +27 FOR MOON *
048944,000568:                                                                                                  #        ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
048945,000569:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048946,000570: 
048947,000571:                                                                                                  #  DEBRIS -
048948,000572:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048949,000573:                                                                                                  #                * SCALE FACTOR *
048950,000574:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048951,000575:                                                                                                  #        --------*--------------*                         -----------------------
048952,000576:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
048953,000577:                                                                                                  #                * +27 FOR MOON *
048954,000578:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
048955,000579:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
048956,000580:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
048957,000581:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
048958,000582:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
048959,000583:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
048960,000584:                                                                                                  #        MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
048961,000585:                                                                                                  #                * +5 FOR MOON  *
048962,000586: 
048963,000587:                                                                                                  #        PARAMETERS OF NO USE -
048964,000588:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
048965,000589:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
048966,000590: 
048967,000591: 12,2000                                           SETLOC   CONICS                                

Page 1168

048969,000593: 12,2000                                           BANK                                           
048970,000594: 
048971,000595: 12,2023                                           COUNT*   $$/CONIC                              
048972,000596: 12,2023  E5,1721                                  EBANK=   UR1                                   
048973,000597: 12,2023           40001        KEPLERN            SETPD    BOV                                   
048974,000598: 12,2024           00001                                    0                                     
048975,000599: 12,2025           24026                                    +1                                    
048976,000600: 12,2026           77773                           VLOAD*                                         
048977,000601: 12,2027           10005                                    MUTABLE,1                             
048978,000602: 12,2030           24017                           STOVL    14D                                   
048979,000603: 12,2031           01503                                    RRECT                                 
048980,000604: 12,2032           66256                           UNIT     SSP                                   
048981,000605: 12,2033           00027                                    ITERCTR                               
048982,000606: 12,2034           00024                                    20D                                   
048983,000607: 12,2035           16647                           STODL    URRECT                                
048984,000608: 12,2036           00045                                    36D                                   
048985,000609: 12,2037           24041                           STOVL    R1                                    
048986,000610: 12,2040           01503                                    RRECT                                 
048987,000611: 12,2041           76441                           DOT      SL1R                                  
048988,000612: 12,2042           01511                                    VRECT                                 
048989,000613: 12,2043           76405                           DMP      SL1R                                  
048990,000614: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
048991,000615: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
048992,000616: 12,2046           01511                                    VRECT                                 
048993,000617: 12,2047           57236                           VSQ      DMPR                                  
048994,000618: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
048995,000619: 12,2051           52405                           DMP      SL3                                   
048996,000620: 12,2052           00041                                    R1                                    
048997,000621: 12,2053           61425                           DSU      ROUND                                 
048998,000622: 12,2054           11001                                    D1/64                                 
048999,000623: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
049000,000624: 
049001,000625: 12,2056           74421                           BDSU     SR1R                                  
049002,000626: 12,2057           11001                                    D1/64                                 
049003,000627: 12,2060           77671                           DDV                                            
049004,000628: 12,2061           00041                                    R1                                    
049005,000629: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
049006,000630: 
049007,000631: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
049008,000632: 12,2064           24073                                    1REV                                  
049009,000633: 12,2065           11017                                    -50SC                                 #  -50SC (+12)
049010,000634: 12,2066           40071                           DDV      BOV                                   
049011,000635: 12,2067           00011                                    ALPHA                                 
049012,000636: 12,2070           24077                                    STOREMAX                              
049013,000637: 12,2071           52166                           SQRT     GOTO                                  
049014,000638: 12,2072           24077                                    STOREMAX                              
049015,000639: 
049016,000640: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1169

049018,000642: 12,2074           11021                                    2PISC                                 #  2PISC (+6)
049019,000643: 12,2075           77600                           BOV                                            
049020,000644: 12,2076           24077                                    STOREMAX                              
049021,000645: 12,2077           00013        STOREMAX           STORE    XMAX                                  
049022,000646: 12,2100           65205                           DMP      PDDL                                  
049023,000647: 12,2101           00023                                    1/ROOTMU                              
049024,000648: 12,2102           00011                                    ALPHA                                 
049025,000649: 12,2103           65301                           NORM     PDDL                                  
049026,000650: 12,2104           00047                                    X1                                    
049027,000651: 12,2105           56257                           SL*      DDV                                   
049028,000652: 12,2106           20173                                    0          -6,1                       
049029,000653: 12,2107           50000                           BOV      BMN                                   
049030,000654: 12,2110           24124                                    MODDONE                               
049031,000655: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
049032,000656: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
049033,000657: 12,2113           02074                                    TAU.                                  
049034,000658: 12,2114           50025                           DSU      BMN                                   
049035,000659: 12,2115           00001                                    0D                                    
049036,000660: 12,2116           24124                                    MODDONE                               
049037,000661: 12,2117           77765                           SIGN                                           
049038,000662: 12,2120           02074                                    TAU.                                  
049039,000663: 12,2121           16074                           STODL    TAU.                                  
049040,000664: 12,2122           77650                           GOTO                                           
049041,000665: 12,2123           24112                                    PERIODCH                              
049042,000666: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
049043,000667: 12,2125           00001                                    0                                     
049044,000668: 12,2126           02130                                    XKEPNEW                               
049045,000669: 12,2127           00025                           STORE    X                                     
049046,000670: 12,2130           53165                           SIGN     BZE                                   
049047,000671: 12,2131           02074                                    TAU.                                  
049048,000672: 12,2132           24302                                    BADX                                  
049049,000673: 12,2133           51440                           BMN      ABS                                   
049050,000674: 12,2134           24302                                    BADX                                  
049051,000675: 12,2135           51025                           DSU      BPL                                   
049052,000676: 12,2136           00013                                    XMAX                                  
049053,000677: 12,2137           24302                                    BADX                                  
049054,000678: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
049055,000679: 12,2141           02074                                    TAU.                                  
049056,000680: 12,2142           24152                                    STOREMIN                              
049057,000681: 12,2143           57545                           DLOAD    DCOMP                                 
049058,000682: 12,2144           00013                                    XMAX                                  
049059,000683: 12,2145           14015                           STODL    XMIN                                  
049060,000684: 12,2146           24007                                    KEPZERO                               
049061,000685: 12,2147           00013                           STORE    XMAX                                  
049062,000686: 12,2150           77650                           GOTO                                           
049063,000687: 12,2151           24155                                    DXCOMP                                
049064,000688: 12,2152           77745        STOREMIN           DLOAD                                          
049065,000689: 12,2153           24007                                    KEPZERO                               
049066,000690: 12,2154           00015                           STORE    XMIN                                  
049067,000691: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1170

049069,000693: 12,2156           02074                                    TAU.                                  
049070,000694: 12,2157           11012                                    BEE22                                 
049071,000695: 12,2160           77646                           ABS                                            
049072,000696: 12,2161           16177                           STODL    EPSILONT                              
049073,000697: 12,2162           01553                                    XPREV                                 
049074,000698: 12,2163           77621        XDIFF              BDSU                                           
049075,000699: 12,2164           00025                                    X                                     
049076,000700: 12,2165           02643                           STORE    DELX                                  
049077,000701: 
049078,000702: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
049079,000703: 12,2167           00025                                    X                                     #  X=XKEP
049080,000704: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049081,000705: 12,2171           00047                                    X1                                    
049082,000706: 12,2172           53605                           DMP      SRR*                                  
049083,000707: 12,2173           00011                                    ALPHA                                 
049084,000708: 12,2174           21573                                    0          -6,1                       
049085,000709: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
049086,000710: 12,2176           24421                                    DELTIME                               
049087,000711: 12,2177           44200                           BOV      BDSU                                  
049088,000712: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
049089,000713: 12,2201           02074                                    TAU.                                  
049090,000714: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
049091,000715: 12,2203           44246                           ABS      BDSU                                  
049092,000716: 12,2204           02177                                    EPSILONT                              
049093,000717: 12,2205           71244                           BPL      DLOAD                                 
049094,000718: 12,2206           24333                                    KEPCONVG                              
049095,000719: 12,2207           00037                                    T                                     
049096,000720: 12,2210           60225                           DSU      NORM                                  
049097,000721: 12,2211           01551                                    TC                                    
049098,000722: 12,2212           00047                                    X1                                    
049099,000723: 12,2213           60325                           PDDL     NORM                                  
049100,000724: 12,2214           02643                                    DELX                                  
049101,000725: 12,2215           00050                                    X2                                    
049102,000726: 12,2216           41260                           XSU,1    DMP                                   
049103,000727: 12,2217           00047                                    X2                                    
049104,000728: 12,2220           02645                                    DELT                                  
049105,000729: 12,2221           56257                           SLR*     DDV                                   
049106,000730: 12,2222           21202                                    1,1                                   
049107,000731: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
049108,000732: 12,2224           71244                           BPL      DLOAD                                 
049109,000733: 12,2225           24246                                    POSDELX                               
049110,000734: 12,2226           00025                                    X                                     
049111,000735: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
049112,000736: 12,2230           45221                           BDSU     DSU                                   #                        PL AT 0
049113,000737: 12,2231           00015                                    XMIN                                  
049114,000738: 12,2232           51000                           BOV      BPL                                   
049115,000739: 12,2233           24240                                    NDXCHNGE                              
049116,000740: 12,2234           24240                                    NDXCHNGE                              
049117,000741: 12,2235           52145                           DLOAD    GOTO                                  

Page 1171

049119,000743: 12,2236           00001                                    0D                                    
049120,000744: 12,2237           24260                                    NEWDELX                               
049121,000745: 
049122,000746: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
049123,000747: 12,2241           00015                                    XMIN                                  
049124,000748: 12,2242           00025                                    X                                     
049125,000749: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049126,000750: 12,2244           11015                                    DP9/10                                
049127,000751: 12,2245           24260                                    NEWDELX                               
049128,000752: 
049129,000753: 12,2246           77745        POSDELX            DLOAD                                          
049130,000754: 12,2247           00025                                    X                                     
049131,000755: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
049132,000756: 12,2251           45221                           BDSU     DSU                                   #                        PL AT 0
049133,000757: 12,2252           00013                                    XMAX                                  
049134,000758: 12,2253           50000                           BOV      BMN                                   
049135,000759: 12,2254           24274                                    PDXCHNGE                              
049136,000760: 12,2255           24274                                    PDXCHNGE                              
049137,000761: 12,2256           77745                           DLOAD                                          
049138,000762: 12,2257           00001                                    0D                                    
049139,000763: 12,2260           02643        NEWDELX            STORE    DELX                                  
049140,000764: 12,2261           43254                           BZE      DAD                                   
049141,000765: 12,2262           24333                                    KEPCONVG                              
049142,000766: 12,2263           00025                                    X                                     
049143,000767: 12,2264           14025                           STODL    X                                     
049144,000768: 12,2265           00037                                    T                                     
049145,000769: 12,2266           01551                           STORE    TC                                    
049146,000770: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
049147,000771: 12,2270           24644                                    CHECKCTR                              
049148,000772: 12,2271           24333                                    KEPCONVG                              
049149,000773: 12,2272           77650                           GOTO                                           
049150,000774: 12,2273           24166                                    KEPLOOP                               #  ITERATE
049151,000775: 
049152,000776: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
049153,000777: 12,2275           00013                                    XMAX                                  
049154,000778: 12,2276           00025                                    X                                     
049155,000779: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049156,000780: 12,2300           11015                                    DP9/10                                
049157,000781: 12,2301           24260                                    NEWDELX                               
049158,000782: 
049159,000783: 12,2302           70545        BADX               DLOAD    SR1                                   
049160,000784: 12,2303           00013                                    XMAX                                  
049161,000785: 12,2304           77765                           SIGN                                           
049162,000786: 12,2305           02074                                    TAU.                                  
049163,000787: 12,2306           00025                           STORE    X                                     
049164,000788: 12,2307           77650                           GOTO                                           

Page 1172

049166,000790: 12,2310           24140                                    STORBNDS                              
049167,000791: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
049168,000792: 12,2312           00025                                    X                                     
049169,000793: 12,2313           24330                                    NEGTOVFL                              
049170,000794: 12,2314           00013                           STORE    XMAX                                  
049171,000795: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
049172,000796: 12,2316           02643                                    DELX                                  
049173,000797: 12,2317           02643                           STORE    DELX                                  
049174,000798: 12,2320           44254                           BZE      BDSU                                  
049175,000799: 12,2321           02112                                    KEPRTN                                
049176,000800: 12,2322           00025                                    X                                     
049177,000801: 12,2323           14025                           STODL    X                                     
049178,000802: 12,2324           01551                                    TC                                    
049179,000803: 12,2325           00037                           STORE    T                                     
049180,000804: 12,2326           77650                           GOTO                                           
049181,000805: 12,2327           24267                                    BRNCHCTR                              
049182,000806: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
049183,000807: 12,2331           77650                           GOTO                                           
049184,000808: 12,2332           24315                                    CMNTOVFL                              
049185,000809: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
049186,000810: 12,2334           00041                                    R1                                    
049187,000811: 12,2335           74225                           DSU      VXSC                                  
049188,000812: 12,2336           00035                                    XSQC(XI)                              
049189,000813: 12,2337           02647                                    URRECT                                
049190,000814: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
049191,000815: 12,2341           00025                                    X                                     
049192,000816: 12,2342           60316                           DSQ      NORM                                  
049193,000817: 12,2343           00047                                    X1                                    
049194,000818: 12,2344           57275                           DMPR     DMPR                                  
049195,000819: 12,2345           00023                                    1/ROOTMU                              
049196,000820: 12,2346           00025                                    X                                     
049197,000821: 12,2347           53605                           DMP      SRR*                                  
049198,000822: 12,2350           00033                                    S(XI)                                 
049199,000823: 12,2351           21572                                    0          -7,1                       
049200,000824: 12,2352           77621                           BDSU                                           
049201,000825: 12,2353           00037                                    T                                     
049202,000826: 12,2354           74352                           SL1      VXSC                                  
049203,000827: 12,2355           01511                                    VRECT                                 
049204,000828: 12,2356           53372                           VSL1     VAD                                   #                                PL AT 0
049205,000829: 12,2357           77712                           VSL4                                           
049206,000830: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
049207,000831: 
049208,000832: 12,2361           60246                           ABVAL    NORM                                  
049209,000833: 12,2362           00050                                    X2                                    
049210,000834: 12,2363           14043                           STODL    RCNORM                                
049211,000835: 12,2364           00031                                    XI                                    
049212,000836: 12,2365           45275                           DMPR     DSU                                   
049213,000837: 12,2366           00033                                    S(XI)                                 
049214,000838: 12,2367           10777                                    D1/128                                

Page 1173

049216,000840: 12,2370           76405                           DMP      SL1R                                  
049217,000841: 12,2371           00021                                    ROOTMU                                
049218,000842: 12,2372           53605                           DMP      SLR*                                  
049219,000843: 12,2373           00025                                    X                                     
049220,000844: 12,2374           56601                                    0          -3,2                       
049221,000845: 12,2375           74271                           DDV      VXSC                                  
049222,000846: 12,2376           00043                                    RCNORM                                
049223,000847: 12,2377           02647                                    URRECT                                
049224,000848: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
049225,000849: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
049226,000850: 12,2402           56257                           SLR*     DDV                                   
049227,000851: 12,2403           56602                                    0          -4,2                       
049228,000852: 12,2404           00043                                    RCNORM                                
049229,000853: 12,2405           74221                           BDSU     VXSC                                  
049230,000854: 12,2406           11013                                    D1/256                                
049231,000855: 12,2407           01511                                    VRECT                                 
049232,000856: 12,2410           42455                           VAD      VSL8                                  
049233,000857: 12,2411           77626                           STADR                                          #                                PL AT 0
049234,000858: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
049235,000859: 12,2413           00037                                    T                                     
049236,000860: 12,2414           15551                           STODL    TC                                    
049237,000861: 12,2415           00025                                    X                                     
049238,000862: 12,2416           01553                           STORE    XPREV                                 
049239,000863: 12,2417           77650                           GOTO                                           
049240,000864: 12,2420           02112                                    KEPRTN                                
049241,000865: 

Page 1174

049243,000867: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
049244,000868: 12,2422           07225                           TC       POLY                                  
049245,000869: 12,2423           00010                           DEC      8          B-14                       
049246,000870: 12,2424           02525 12526                     2DEC     .083333334                            
049247,000871: 12,2426           67356 75666                     2DEC     -.266666684                            
049248,000872: 12,2430           15001 23771                     2DEC     .406349155                            
049249,000873: 12,2432           64342 43674                     2DEC     -.361198675                            
049250,000874: 12,2434           06563 04645                     2DEC     .210153242                            
049251,000875: 12,2436           75173 52672                     2DEC     -.086221951                            
049252,000876: 12,2440           00656 14331                     2DEC     .026268812                            
049253,000877: 12,2442           77633 40512                     2DEC     -.006163316                            
049254,000878: 12,2444           00023 11210                     2DEC     .001177342                            
049255,000879: 12,2446           77774 67506                     2DEC     -.000199055                            
049256,000880: 
049257,000881: 12,2450           06042                           TC       INTPRET                               
049258,000882: 12,2451           14033                           STODL    S(XI)                                 
049259,000883: 12,2452           00031                                    XI                                    
049260,000884: 12,2453           77776                           EXIT                                           
049261,000885: 12,2454           07225                           TC       POLY                                  
049262,000886: 12,2455           00010                           DEC      8          B-14                       
049263,000887: 12,2456           01000 00000                     2DEC     .031250001                            
049264,000888: 12,2460           72525 52506                     2DEC     -.166666719                            
049265,000889: 12,2462           13301 15337                     2DEC     .355555413                            
049266,000890: 12,2464           62776 54733                     2DEC     -.406347410                            
049267,000891: 12,2466           11176 13267                     2DEC     .288962094                            
049268,000892: 12,2470           73410 51674                     2DEC     -.140117894                            
049269,000893: 12,2472           01446 33641                     2DEC     .049247387                            
049270,000894: 12,2474           77451 65233                     2DEC     -.013081923                            
049271,000895: 12,2476           00055 37266                     2DEC     .002806389                            
049272,000896: 12,2500           77767 52336                     2DEC     -.000529414                            
049273,000897: 12,2502           06042                           TC       INTPRET                               

Page 1175

049275,000899: 12,2503           53605                           DMP      SRR*                                  #                                PL AT 0
049276,000900: 12,2504           00001                                    0D                                    
049277,000901: 12,2505           21574                                    0          -5,1                       
049278,000902: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
049279,000903: 12,2507           72405                           DMP      SL1                                   
049280,000904: 12,2510           00043                                    KEPC1                                 
049281,000905: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
049282,000906: 12,2512           21634                                    TPMODE                                #                                PL AT 0,3
049283,000907: 12,2513           53605                           DMP      SRR*                                  
049284,000908: 12,2514           00033                                    S(XI)                                 
049285,000909: 12,2515           21574                                    0          -5,1                       
049286,000910: 12,2516           72405                           DMP      SL1                                   
049287,000911: 12,2517           00045                                    KEPC2                                 
049288,000912: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
049289,000913: 12,2521           21634                                    TPMODE                                
049290,000914: 12,2522           00041                                    R1                                    
049291,000915: 12,2523           76261                           SR       TAD                                   #                                PL AT 3
049292,000916: 12,2524           20607                                    6                                     
049293,000917: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
049294,000918: 12,2526           00047                                    X1                                    
049295,000919: 12,2527           00025                                    X                                     
049296,000920: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
049297,000921: 12,2531           20576                                    0          -3,1                       
049298,000922: 12,2532           57232                           SL4R     DMPR                                  
049299,000923: 12,2533           00023                                    1/ROOTMU                              
049300,000924: 12,2534           00037                           STORE    T                                     
049301,000925: 12,2535           77616                           RVQ                                            
049302,000926: 

Page 1176

049304,000928: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
049305,000929: 12,2537           00614                                    SLOPESW                               
049306,000930: 12,2540           24606                                    FIRSTIME                              
049307,000931: 12,2541           00037                                    DEP                                   
049308,000932: 12,2542           60225                           DSU      NORM                                  
049309,000933: 12,2543           02762                                    DEPREV                                
049310,000934: 12,2544           00047                                    X1                                    
049311,000935: 12,2545           60325                           PDDL     NORM                                  
049312,000936: 12,2546           00015                                    DELINDEP                              
049313,000937: 12,2547           00050                                    X2                                    
049314,000938: 12,2550           41260                           XSU,1    DMP                                   
049315,000939: 12,2551           00047                                    X2                                    
049316,000940: 12,2552           02760                                    DELDEP                                
049317,000941: 12,2553           56257                           SLR*     DDV                                   #                                PL UP 2
049318,000942: 12,2554           21202                                    1,1                                   
049319,000943: 12,2555           43142                           SR1      BOFF                                  
049320,000944: 12,2556           04351                                    ORDERSW                               
049321,000945: 12,2557           24562                                    SGNCHECK                              
049322,000946: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
049323,000947: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
049324,000948: 
049325,000949: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
049326,000950: 12,2563           24620                                    POSDEL                                
049327,000951: 12,2564           43145                           DLOAD    BON                                   
049328,000952: 12,2565           02766                                    INDEP                                 
049329,000953: 12,2566           04311                                    ORDERSW                               
049330,000954: 12,2567           24571                                    MINCHECK                              
049331,000955: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
049332,000956: 
049333,000957: 12,2571           45221        MINCHECK           BDSU     DSU                                   
049334,000958: 12,2572           00011                                    MIN                                   
049335,000959: 12,2573           51000                           BOV      BPL                                   
049336,000960: 12,2574           24600                                    MODNGDEL                              
049337,000961: 12,2575           24600                                    MODNGDEL                              
049338,000962: 12,2576           77650                           GOTO                                           
049339,000963: 12,2577           24632                                    DELOK                                 
049340,000964: 
049341,000965: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
049342,000966: 12,2601           00011                                    MIN                                   
049343,000967: 12,2602           02766                                    INDEP                                 
049344,000968: 12,2603           52005                           DMP      GOTO                                  
049345,000969: 12,2604           11015                                    DP9/10                                
049346,000970: 12,2605           24634                                    NEWDEL                                
049347,000971: 
049348,000972: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
049349,000973: 12,2607           00011                                    MIN                                   
049350,000974: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
049351,000975: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1177

049353,000977: 12,2612           00017                                    MAX                                   
049354,000978: 12,2613           00051                                    TWEEKIT                               
049355,000979: 12,2614           77625                           DSU                                            
049356,000980: 12,2615           52165                           SIGN     GOTO                                  
049357,000981: 12,2616           02760                                    DELDEP                                
049358,000982: 12,2617           24562                                    SGNCHECK                              
049359,000983: 
049360,000984: 12,2620           43145        POSDEL             DLOAD    BON                                   
049361,000985: 12,2621           02766                                    INDEP                                 
049362,000986: 12,2622           04311                                    ORDERSW                               
049363,000987: 12,2623           24625                                    MAXCHECK                              
049364,000988: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
049365,000989: 
049366,000990: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
049367,000991: 12,2626           00017                                    MAX                                   
049368,000992: 12,2627           50000                           BOV      BMN                                   
049369,000993: 12,2630           24636                                    MODPSDEL                              
049370,000994: 12,2631           24636                                    MODPSDEL                              
049371,000995: 12,2632           77745        DELOK              DLOAD                                          
049372,000996: 12,2633           00001                                    0D                                    
049373,000997: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
049374,000998: 12,2635           77616                           RVQ                                            
049375,000999: 
049376,001000: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
049377,001001: 12,2637           00017                                    MAX                                   
049378,001002: 12,2640           02766                                    INDEP                                 
049379,001003: 12,2641           52005                           DMP      GOTO                                  
049380,001004: 12,2642           11015                                    DP9/10                                
049381,001005: 12,2643           24634                                    NEWDEL                                
049382,001006: 
049383,001007: 12,2644           44753        CHECKCTR           CS       ONE                                   
049384,001008: 12,2645           50120                           INDEX    FIXLOC                                
049385,001009: 12,2646           60026                           AD       ITERCTR                               
049386,001010: 12,2647           50120                           INDEX    FIXLOC                                
049387,001011: 12,2650           54026                           TS       ITERCTR                               
049388,001012: 12,2651           54154                           TS       MPAC                                  
049389,001013: 12,2652           06064                           TC       DANZIG                                
049390,001014: 

Page 1178

049392,001016: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
049393,001017: 12,2654           00041                                    R1                                    
049394,001018: 12,2655           74225                           DSU      VXSC                                  
049395,001019: 12,2656           00035                                    XSQC(XI)                              
049396,001020: 12,2657           02722                                    UR1                                   
049397,001021: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31)       PL AT 6
049398,001022: 12,2661           00025                                    X                                     
049399,001023: 12,2662           60316                           DSQ      NORM                                  
049400,001024: 12,2663           00047                                    X1                                    
049401,001025: 12,2664           57275                           DMPR     DMPR                                  
049402,001026: 12,2665           00023                                    1/ROOTMU                              
049403,001027: 12,2666           00025                                    X                                     
049404,001028: 12,2667           53605                           DMP      SRR*                                  
049405,001029: 12,2670           00033                                    S(XI)                                 
049406,001030: 12,2671           21572                                    0          -7,1                       
049407,001031: 12,2672           77621                           BDSU                                           
049408,001032: 12,2673           00037                                    T                                     
049409,001033: 12,2674           74352                           SL1      VXSC                                  
049410,001034: 12,2675           02744                                    VVEC                                  
049411,001035: 12,2676           53372                           VSL1     VAD                                   #                                PL AT 0
049412,001036: 12,2677           41512                           VSL4     PUSH                                  
049413,001037: 12,2700           77646                           ABVAL                                          
049414,001038: 12,2701           77701        LAMENTER           NORM                                           
049415,001039: 12,2702           00047                                    X1                                    
049416,001040: 12,2703           16720                           STODL    R2                                    
049417,001041: 12,2704           00031                                    XI                                    
049418,001042: 12,2705           45205                           DMP      DSU                                   
049419,001043: 12,2706           00033                                    S(XI)                                 
049420,001044: 12,2707           10777                                    D1/128                                
049421,001045: 12,2710           76405                           DMP      SL1R                                  
049422,001046: 12,2711           00021                                    ROOTMU                                
049423,001047: 12,2712           53605                           DMP      SLR*                                  
049424,001048: 12,2713           00025                                    X                                     
049425,001049: 12,2714           21176                                    0          -3,1                       
049426,001050: 12,2715           74271                           DDV      VXSC                                  
049427,001051: 12,2716           02720                                    R2                                    
049428,001052: 12,2717           02722                                    UR1                                   
049429,001053: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
049430,001054: 12,2721           00035                                    XSQC(XI)                              
049431,001055: 12,2722           56257                           SLR*     DDV                                   
049432,001056: 12,2723           21175                                    0          -4,1                       
049433,001057: 12,2724           02720                                    R2                                    
049434,001058: 12,2725           77621                           BDSU                                           
049435,001059: 12,2726           11013                                    D1/256                                
049436,001060: 12,2727           53361                           VXSC     VAD                                   
049437,001061: 12,2730           02744                                    VVEC                                  #                                PL AT 6
049438,001062: 12,2731           43412                           VSL8     RVQ                                   
049439,001063: 

Page 1179

049441,001065: 04,2000                                           SETLOC   CONICS1                               
049442,001066: 04,2000                                           BANK                                           
049443,001067: 
049444,001068: 04,2773                                           COUNT*   $$/CONIC                              
049445,001069:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
049446,001070: 04,2773           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
049447,001071: 04,2774           04000 00000  D1/8               2DEC     1.0        B-3                        
049448,001072: 04,2776           00200 00000  D1/128             2DEC     1.0        B-7                        
049449,001073: 04,3000           00400 00000  D1/64              2DEC     1.0        B-6                        
049450,001074: 04,3002           10000 00000  D1/4               2DEC     1.0        B-2                        
049451,001075: 04,3004           02000 00000  D1/16              2DEC     1.0        B-4                        
049452,001076: 04,3006           01000 00000  D1/32              2DEC     1.0        B-5                        
049453,001077: 04,3010           00020 00000  D1/1024            2DEC     1.0        B-10                       
049454,001078: 04,3012           00100 00000  D1/256             2DEC     1.0        B-8                        
049455,001079: 04,3014           34631 23146  DP9/10             2DEC     .9                                    
049456,001080: 04,3016  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
049457,001081: 04,3016           77467 77777  -50SC              2DEC     -50.0      B-12                       
049458,001082: 04,3020           03110 17665  2PISC              2DEC     6.28318530 B-6                        
049459,001083: 04,3022  04,3005               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
049460,001084: 04,3022  04,3011               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
049461,001085: 04,3022           00000 00001  ONEBIT             2DEC     1.0        B-28                       
049462,001086: 04,3024           37767 37737  COGUPLIM           2DEC     .999511597                            
049463,001087: 04,3026           40010 40040  COGLOLIM           2DEC     -.999511597                            
049464,001088: 

Page 1180

049466,001090: 12,2000                                           SETLOC   CONICS                                
049467,001091: 12,2000                                           BANK                                           
049468,001092: 
049469,001093: 12,2732                                           COUNT*   $$/CONIC                              
049470,001094: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
049471,001095: 12,2733           02710                                    RTNTT                                 
049472,001096: 12,2734           00001                                    0                                     
049473,001097: 12,2735           77600                           BOV                                            
049474,001098: 12,2736           24737                                    +1                                    
049475,001099: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
049476,001100: 12,2740           02655                                    RVEC                                  
049477,001101: 12,2741           02744                                    VVEC                                  
049478,001102: 12,2742           77624                           CALL                                           
049479,001103: 12,2743           11030                                    PARAM                                 
049480,001104: 12,2744           45000                           BOV      CALL                                  
049481,001105: 12,2745           24764                                    COGAOVFL                              #                                PL AT 0
049482,001106: 12,2746           24767                                    GETX                                  
049483,001107: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
049484,001108: 12,2750           00031                                    XI                                    
049485,001109: 12,2751           04310                                    INFINFLG                              
049486,001110: 12,2752           25752                                    ABTCONIC                              
049487,001111: 12,2753           45014                           CLEAR    CALL                                  
049488,001112: 12,2754           04273                                    COGAFLAG                              
049489,001113: 12,2755           24421                                    DELTIME                               
049490,001114: 12,2756           45014                           BON      CALL                                  
049491,001115: 12,2757           03706                                    RVSW                                  
049492,001116: 12,2760           02710                                    RTNTT                                 
049493,001117: 12,2761           24653                                    NEWSTATE                              
049494,001118: 12,2762           77650                           GOTO                                           
049495,001119: 12,2763           02710                                    RTNTT                                 
049496,001120: 
049497,001121: 12,2764           77614        COGAOVFL           SETGO                                          
049498,001122: 12,2765           04033                                    COGAFLAG                              
049499,001123: 12,2766           25752                                    ABTCONIC                              
049500,001124: 
049501,001125: 04,3030                                           BANK     4                                     
049502,001126: 04,2000                                           SETLOC   CONICS1                               
049503,001127: 04,2000                                           BANK                                           
049504,001128: 04,3030                                           COUNT*   $$/CONIC                              
049505,001129: 04,3030           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
049506,001130: 04,3031           02753                                    RTNPRM                                
049507,001131: 04,3032           03665                                    NORMSW                                
049508,001132: 04,3033           77614                           CLEAR                                          
049509,001133: 04,3034           04273                                    COGAFLAG                              
049510,001134: 04,3035           45131                           SSP      CALL                                  
049511,001135: 04,3036           02673                                    GEOMSGN                               
049512,001136: 04,3037           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
049513,001137: 04,3040           11074                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
049514,001138: 04,3041           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0
049515,001139: 04,3042           56261                           SR       DDV                                   

Page 1181

049517,001141: 04,3043           20606                                    5                                     
049518,001142: 04,3044           00045                                    36D                                   
049519,001143: 04,3045           32766                           STOVL*   COGA                                  
049520,001144: 04,3046           10005                                    MUTABLE,1                             
049521,001145: 04,3047           14017                           STODL    1/MU                                  
049522,001146: 04,3050           02720                                    MAGVEC2                               
049523,001147: 04,3051           60316                           DSQ      NORM                                  
049524,001148: 04,3052           00047                                    X1                                    
049525,001149: 04,3053           41275                           DMPR     DMP                                   
049526,001150: 04,3054           00017                                    1/MU                                  
049527,001151: 04,3055           00041                                    R1                                    
049528,001152: 04,3056           77657                           SRR*                                           
049529,001153: 04,3057           21576                                    0          -3,1                       
049530,001154: 04,3060           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
049531,001155: 04,3061           11007                                    D1/32                                 
049532,001156: 04,3062           16742                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
049533,001157: 
049534,001158: 04,3063           60205                           DMP      NORM                                  
049535,001159: 04,3064           00045                                    36D                                   
049536,001160: 04,3065           00047                                    X1                                    
049537,001161: 04,3066           53605                           DMP      SR*                                   
049538,001162: 04,3067           00045                                    36D                                   
049539,001163: 04,3070           20575                                    0          -4,1                       
049540,001164: 04,3071           02740                           STORE    P                                     #  P (+4)
049541,001165: 04,3072           77650                           GOTO                                           
049542,001166: 04,3073           02753                                    RTNPRM                                
049543,001167: 

Page 1182

049545,001169: 04,3074           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
049546,001170: 04,3075           16712                           STODL    U2                                    #  U2 (+1)
049547,001171: 04,3076           00045                                    36D                                   
049548,001172: 04,3077           26720                           STOVL    MAGVEC2                               #                                PL AT 0
049549,001173: 04,3100           77656                           UNIT                                           
049550,001174: 04,3101           02722                           STORE    UR1                                   #  UR1 (+1)
049551,001175: 04,3102           72441                           DOT      SL1                                   
049552,001176: 04,3103           02712                                    U2                                    
049553,001177: 04,3104           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
049554,001178: 04,3105           00045                                    36D                                   
049555,001179: 04,3106           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
049556,001180: 04,3107           02722                                    UR1                                   
049557,001181: 04,3110           76435                           VXV      VSL1                                  
049558,001182: 04,3111           02712                                    U2                                    
049559,001183: 04,3112           75214                           BON      SIGN                                  
049560,001184: 04,3113           03705                                    NORMSW                                
049561,001185: 04,3114           11126                                    HAVENORM                              
049562,001186: 04,3115           02673                                    GEOMSGN                               
049563,001187: 04,3116           40056                           UNIT     BOV                                   
049564,001188: 04,3117           11124                                    COLINEAR                              
049565,001189: 04,3120           16674        UNITNORM           STODL    UN                                    #  UN (+1)
049566,001190: 04,3121           00045                                    36D                                   
049567,001191: 04,3122           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049568,001192: 04,3123           02673                                    GEOMSGN                               
049569,001193: 
049570,001194: 04,3124           52162        COLINEAR           VSR1     GOTO                                  
049571,001195: 04,3125           11120                                    UNITNORM                              
049572,001196: 
049573,001197: 04,3126           75246        HAVENORM           ABVAL    SIGN                                  
049574,001198: 04,3127           02673                                    GEOMSGN                               
049575,001199: 04,3130           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049576,001200: 

Page 1183

049578,001202: 12,2767                                           BANK     12                                    
049579,001203: 12,2000                                           SETLOC   CONICS                                
049580,001204: 12,2000                                           BANK                                           
049581,001205: 
049582,001206: 12,2767                                           COUNT*   $$/CONIC                              
049583,001207: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
049584,001208: 12,2770           00003                                    3                                     
049585,001209: 12,2771           00052                                    S2                                    
049586,001210: 12,2772           00001                                    1                                     
049587,001211: 12,2773           77614                           CLEAR                                          
049588,001212: 12,2774           04276                                    360SW                                 
049589,001213: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
049590,001214: 12,2776           02732                                    CSTH                                  
049591,001215: 12,2777           44342                           SR1      BDSU                                  
049592,001216: 12,3000           11003                                    D1/4                                  
049593,001217: 12,3001           54325                           PDDL     SRR                                   #                                PL AT 4D
049594,001218: 12,3002           02730                                    SNTH                                  
049595,001219: 12,3003           21607                                    6                                     
049596,001220: 12,3004           77671                           DDV                                            #                                PL AT 2
049597,001221: 12,3005           77600                           BOV                                            
049598,001222: 12,3006           25122                                    360CHECK                              
049599,001223: 12,3007           41225                           DSU      DMP                                   
049600,001224: 12,3010           02766                                    COGA                                  #                                PL AT 0
049601,001225: 12,3011           40132                           SL2R     BOV                                   
049602,001226: 12,3012           25122                                    360CHECK                              
049603,001227: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
049604,001228: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
049605,001229: 12,3015           00155                                    MPAC                                  
049606,001230: 12,3016           02742                                    R1A                                   
049607,001231: 12,3017           76202                           SR4      TAD                                   #                                PL AT 2
049608,001232: 12,3020           75440                           BMN      SQRT                                  
049609,001233: 12,3021           25205                                    INFINITY                              
049610,001234: 12,3022           43306                           ROUND    DAD                                   #                                PL AT 0D
049611,001235: 12,3023           61000                           BOV      TIX,2                                 
049612,001236: 12,3024           25120                                    RESETX2                               
049613,001237: 12,3025           25013                                    WLOOP                                 
049614,001238: 
049615,001239: 12,3026           40065                           BDDV     BOV                                   
049616,001240: 12,3027           10777                                    D1/128                                
049617,001241: 12,3030           25205                                    INFINITY                              
049618,001242: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
049619,001243: 12,3032           25205                                    INFINITY                              
049620,001244: 12,3033           77716                           DSQ                                            
049621,001245: 12,3034           41301                           NORM     DMP                                   
049622,001246: 12,3035           00047                                    X1                                    
049623,001247: 12,3036           02742                                    R1A                                   
049624,001248: 12,3037           77457                           SRR*     EXIT                                  
049625,001249: 12,3040           21567                                    0          -10D,1                     
049626,001250: 12,3041           07225                           TC       POLY                                  

Page 1184

049628,001252: 12,3042           00005                           DEC      5          B-14                       
049629,001253: 12,3043           20000 00000                     2DEC     .5                                    
049630,001254: 12,3045           72525 52471                     2DEC     -.166666770                            
049631,001255: 12,3047           03146 15003                     2DEC     .100000392                            
049632,001256: 12,3051           75556 45210                     2DEC     -.071401086                            
049633,001257: 12,3053           01615 13553                     2DEC     .055503292                            
049634,001258: 12,3055           76371 63777                     2DEC     -.047264098                            
049635,001259: 12,3057           01232 27367                     2DEC     .040694204                            
049636,001260: 
049637,001261: 12,3061           06042                           TC       INTPRET                               
049638,001262: 12,3062           76405                           DMP      SL1R                                  #                                PL AT 0D
049639,001263: 12,3063           43006                           PUSH     BON                                   
049640,001264: 12,3064           04316                                    360SW                                 
049641,001265: 12,3065           25172                                    TRUE360X                              
049642,001266: 12,3066           60316        XCOMMON            DSQ      NORM                                  
049643,001267: 12,3067           00047                                    X1                                    
049644,001268: 12,3070           53605                           DMP      SRR*                                  
049645,001269: 12,3071           02742                                    R1A                                   
049646,001270: 12,3072           21565                                    0          -12D,1                     
049647,001271: 12,3073           14031                           STODL    XI                                    #  XI (+6)
049648,001272: 12,3074           00041                                    R1                                    
049649,001273: 12,3075           75542                           SR1      SQRT                                  
049650,001274: 12,3076           41306                           ROUND    DMP                                   
049651,001275: 12,3077           77632                           SL4R                                           #                                PL AT 0
049652,001276: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
049653,001277: 
049654,001278: 12,3101           60316                           DSQ      NORM                                  
049655,001279: 12,3102           00047                                    X1                                    
049656,001280: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049657,001281: 12,3104           02740                                    P                                     
049658,001282: 12,3105           00041                                    R1                                    
049659,001283: 12,3106           75452                           SL3      SQRT                                  
049660,001284: 12,3107           56405                           DMP      SL3R                                  
049661,001285: 12,3110           02766                                    COGA                                  
049662,001286: 12,3111           14043                           STODL    KEPC1                                 
049663,001287: 12,3112           02742                                    R1A                                   
049664,001288: 12,3113           43021                           BDSU     CLEAR                                 
049665,001289: 12,3114           11001                                    D1/64                                 
049666,001290: 12,3115           04270                                    INFINFLG                              
049667,001291: 12,3116           00045                           STORE    KEPC2                                 
049668,001292: 12,3117           77616                           RVQ                                            
049669,001293: 

Page 1185

049671,001295: 12,3120           77774        RESETX2            AXT,2                                          
049672,001296: 12,3121           00003                                    3                                     
049673,001297: 
049674,001298: 12,3122           51001        360CHECK           SETPD    BPL                                   
049675,001299: 12,3123           00001                                    0D                                    
049676,001300: 12,3124           25127                                    INVRSEQN                              
049677,001301: 12,3125           77614                           SET                                            
049678,001302: 12,3126           04076                                    360SW                                 
049679,001303: 
049680,001304: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
049681,001305: 12,3130           02740                                    P                                     
049682,001306: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
049683,001307: 12,3132           02730                                    SNTH                                  
049684,001308: 12,3133           02766                                    COGA                                  
049685,001309: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
049686,001310: 12,3135           02732                                    CSTH                                  
049687,001311: 12,3136           43202                           SR4      DAD                                   
049688,001312: 12,3137           11007                                    D1/32                                 
049689,001313: 12,3140           41225                           DSU      DMP                                   #                                PL AT 2,0
049690,001314: 12,3141           55301                           NORM     BDDV                                  
049691,001315: 12,3142           00047                                    X1                                    
049692,001316: 12,3143           02730                                    SNTH                                  
049693,001317: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
049694,001318: 12,3145           21174                                    0          -5,1                       
049695,001319: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
049696,001320: 12,3147           14043                           STODL    34D                                   
049697,001321: 12,3150           11005                                    D1/16                                 
049698,001322: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
049699,001323: 12,3152           65234                           RTB      PDDL                                  #                                PL AT 7
049700,001324: 12,3153           21634                                    TPMODE                                
049701,001325: 12,3154           02742                                    R1A                                   
049702,001326: 12,3155           40405                           DMP      SR4                                   
049703,001327: 12,3156           00043                                    34D                                   
049704,001328: 12,3157           77771                           TAD                                            
049705,001329: 12,3160           75440                           BMN      SQRT                                  #                                PL AT 4
049706,001330: 12,3161           25205                                    INFINITY                              
049707,001331: 12,3162           77615                           DAD                                            #                                PL AT 2
049708,001332: 12,3163           60304                           TIX,2    NORM                                  
049709,001333: 12,3164           25151                                    1/WLOOP                               
049710,001334: 12,3165           00047                                    X1                                    
049711,001335: 12,3166           77665                           BDDV                                           
049712,001336: 12,3167           52057                           SLR*     GOTO                                  #                                PL AT 0
049713,001337: 12,3170           21172                                    0          -7,1                       
049714,001338: 12,3171           25031                                    POLYCOEF                              
049715,001339: 
049716,001340: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
049717,001341: 12,3173           02742                                    R1A                                   

Page 1186

049719,001343: 12,3174           25205                                    INFINITY                              
049720,001344: 12,3175           60366                           SQRT     NORM                                  
049721,001345: 12,3176           00047                                    X1                                    
049722,001346: 12,3177           53665                           BDDV     SL*                                   
049723,001347: 12,3200           11021                                    2PISC                                 
049724,001348: 12,3201           20176                                    0          -3,1                       
049725,001349: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
049726,001350: 12,3203           77650                           GOTO                                           
049727,001351: 12,3204           25066                                    XCOMMON                               
049728,001352: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
049729,001353: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
049730,001354: 12,3207           25210                                    OVFLCLR                               
049731,001355: 12,3210           43414        OVFLCLR            SET      RVQ                                   
049732,001356: 12,3211           04070                                    INFINFLG                              
049733,001357: 

Page 1187

049735,001359: 12,3212           40220        LAMBERT            STQ      SETPD                                 
049736,001360: 12,3213           02710                                    RTNLAMB                               
049737,001361: 12,3214           00001                                    0D                                    
049738,001362: 12,3215           77600                           BOV                                            
049739,001363: 12,3216           25217                                    +1                                    
049740,001364: 12,3217           76614                           CLEAR    VLOAD*                                
049741,001365: 12,3220           02674                                    SOLNSW                                
049742,001366: 12,3221           10005                                    MUTABLE,1                             
049743,001367: 12,3222           14017                           STODL    1/MU                                  
049744,001368: 12,3223           02671                                    TDESIRED                              
049745,001369: 12,3224           77675                           DMPR                                           
049746,001370: 12,3225           11006                                    BEE19                                 
049747,001371: 12,3226           02764                           STORE    EPSILONL                              
049748,001372: 12,3227           77214                           SET      VLOAD                                 
049749,001373: 12,3230           00474                                    SLOPESW                               
049750,001374: 12,3231           02655                                    R1VEC                                 
049751,001375: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
049752,001376: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
049753,001377: 12,3234           11074                                    GEOM                                  
049754,001378: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
049755,001379: 12,3236           02720                                    MAGVEC2                               
049756,001380: 12,3237           65301                           NORM     PDDL                                  #                                PL AT 4
049757,001381: 12,3240           00047                                    X1                                    
049758,001382: 12,3241           00041                                    R1                                    
049759,001383: 12,3242           56342                           SR1      DDV                                   #                                PL AT 2
049760,001384: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
049761,001385: 12,3244           20173                                    0          -6,1                       
049762,001386: 12,3245           77626                           STADR                                          
049763,001387: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
049764,001388: 12,3247           44342                           SR1      BDSU                                  
049765,001389: 12,3250           11003                                    D1/4                                  
049766,001390: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
049767,001391: 
049768,001392: 12,3252           53106                           ROUND    BZE                                   
049769,001393: 12,3253           25473                                    360LAMB                               
049770,001394: 12,3254           65301                           NORM     PDDL                                  #                                PL AT 4
049771,001395: 12,3255           00047                                    X1                                    
049772,001396: 12,3256           00001                                    0D                                    
049773,001397: 12,3257           56342                           SR1      DDV                                   #                                PL AT 2
049774,001398: 12,3260           75457                           SL*      SQRT                                  
049775,001399: 12,3261           20176                                    0          -3,1                       
049776,001400: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
049777,001401: 12,3263           02730                                    SNTH                                  
049778,001402: 12,3264           20607                                    6                                     
049779,001403: 12,3265           43271                           DDV      DAD                                   #                                PL AT 2
049780,001404: 12,3266           02734                                    1-CSTH                                
049781,001405: 12,3267           77626                           STADR                                          
049782,001406: 12,3270           77760                           STORE    COGAMAX                               
049783,001407: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
049784,001408: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1188

049786,001410: 12,3273           25302                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
049787,001411: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
049788,001412: 12,3275           11025                                    COGUPLIM                              
049789,001413: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
049790,001414: 12,3277           77745        UPLIM              DLOAD                                          
049791,001415: 12,3300           11025                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
049792,001416: 12,3301           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
049793,001417: 12,3302           77745        MAXCOGA            DLOAD                                          
049794,001418: 12,3303           02732                                    CSTH                                  
049795,001419: 12,3304           45261                           SR       DSU                                   #                                        PL AT 0
049796,001420: 12,3305           20607                                    6                                     
049797,001421: 12,3306           77626                           STADR                                          
049798,001422: 12,3307           61041                           STODL    CSTH-RHO                              
049799,001423: 12,3310           02673                                    GEOMSGN                               
049800,001424: 12,3311           71240                           BMN      DLOAD                                 
049801,001425: 12,3312           25513                                    LOLIM                                 
049802,001426: 12,3313           02736                                    CSTH-RHO                              
049803,001427: 12,3314           56352                           SL1      DDV                                   
049804,001428: 12,3315           02730                                    SNTH                                  
049805,001429: 12,3316           77600                           BOV                                            
049806,001430: 12,3317           25513                                    LOLIM                                 
049807,001431: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
049808,001432: 12,3321           66214                           BON      SSP                                   
049809,001433: 12,3322           00715                                    GUESSW                                
049810,001434: 12,3323           25477                                    NOGUESS                               
049811,001435: 12,3324           00051                                    TWEEKIT                               
049812,001436: 12,3325           00001                                    00001                                 
049813,001437: 12,3326           77745                           DLOAD                                          
049814,001438: 12,3327           02766                                    COGA                                  
049815,001439: 
049816,001440: 12,3330           77605        LAMBLOOP           DMP                                            
049817,001441: 12,3331           02730                                    SNTH                                  
049818,001442: 12,3332           45342                           SR1      DSU                                   
049819,001443: 12,3333           02736                                    CSTH-RHO                              
049820,001444: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1))    PL = 2
049821,001445: 12,3335           00047                                    X1                                    
049822,001446: 12,3336           02734                                    1-CSTH                                
049823,001447: 12,3337           56257                           SL*      DDV                                   #  1-CSTH (+2)                           PL AT 0
049824,001448: 12,3340           20170                                    0          -9D,1                      
049825,001449: 12,3341           53040                           BMN      BZE                                   
049826,001450: 12,3342           25427                                    NEGP                                  
049827,001451: 12,3343           25427                                    NEGP                                  
049828,001452: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
049829,001453: 12,3345           02766                                    COGA                                  
049830,001454: 12,3346           43316                           DSQ      DAD                                   
049831,001455: 12,3347           11011                                    D1/1024                               
049832,001456: 12,3350           41301                           NORM     DMP                                   
049833,001457: 12,3351           00047                                    X1                                    
049834,001458: 12,3352           02740                                    P                                     

Page 1189

049836,001460: 12,3353           44257                           SR*      BDSU                                  
049837,001461: 12,3354           20571                                    0          -8D,1                      
049838,001462: 12,3355           11007                                    D1/32                                 
049839,001463: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
049840,001464: 12,3357           02740                                    P                                     
049841,001465: 12,3360           45000                           BOV      CALL                                  
049842,001466: 12,3361           25432                                    HIENERGY                              
049843,001467: 12,3362           24767                                    GETX                                  
049844,001468: 12,3363           77745                           DLOAD                                          
049845,001469: 12,3364           00037                                    T                                     
049846,001470: 12,3365           16762                           STODL    TPREV                                 
049847,001471: 12,3366           00031                                    XI                                    
049848,001472: 12,3367           45014                           BON      CALL                                  
049849,001473: 12,3370           04310                                    INFINFLG                              
049850,001474: 12,3371           25427                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
049851,001475: 12,3372           24421                                    DELTIME                               
049852,001476: 12,3373           44200                           BOV      BDSU                                  
049853,001477: 12,3374           25447                                    BIGTIME                               
049854,001478: 12,3375           02671                                    TDESIRED                              
049855,001479: 12,3376           02760                           STORE    TERRLAMB                              
049856,001480: 12,3377           44246                           ABS      BDSU                                  
049857,001481: 12,3400           02764                                    EPSILONL                              
049858,001482: 12,3401           47044                           BPL      RTB                                   
049859,001483: 12,3402           25516                                    INITV                                 
049860,001484: 12,3403           24644                                    CHECKCTR                              
049861,001485: 12,3404           43030                           BHIZ     BON                                   
049862,001486: 12,3405           25460                                    SUFFCHEK                              
049863,001487: 12,3406           00714                                    SLOPESW                               
049864,001488: 12,3407           25415                                    GOITER                                
049865,001489: 12,3410           45345                           DLOAD    DSU                                   
049866,001490: 12,3411           00037                                    T                                     
049867,001491: 12,3412           02762                                    TPREV                                 
049868,001492: 12,3413           77654                           BZE                                            
049869,001493: 12,3414           25460                                    SUFFCHEK                              
049870,001494: 12,3415           77624        GOITER             CALL                                           
049871,001495: 12,3416           24536                                    ITERATOR                              
049872,001496: 12,3417           53145                           DLOAD    BZE                                   
049873,001497: 12,3420           00155                                    MPAC                                  
049874,001498: 12,3421           25460                                    SUFFCHEK                              
049875,001499: 12,3422           77615                           DAD                                            
049876,001500: 12,3423           02766                                    COGA                                  
049877,001501: 12,3424           02766                           STORE    COGA                                  
049878,001502: 12,3425           77650                           GOTO                                           
049879,001503: 12,3426           25330                                    LAMBLOOP                              
049880,001504: 
049881,001505: 12,3427           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
049882,001506: 12,3430           00015                                    DCOGA                                 #  BOUND CALCULATION.  TRY NEW COGA.
049883,001507: 12,3431           25452                                    LOENERGY                              
049884,001508: 

Page 1190

049886,001510: 12,3432           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
049887,001511: 12,3433           00001                                    0                                     
049888,001512: 12,3434           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
049889,001513: 12,3435           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
049890,001514: 12,3436           70545        COMMONLM           DLOAD    SR1                                   
049891,001515: 12,3437           00015                                    DCOGA                                 
049892,001516: 12,3440           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
049893,001517: 12,3441           44254                           BZE      BDSU                                  
049894,001518: 12,3442           25460                                    SUFFCHEK                              
049895,001519: 12,3443           02766                                    COGA                                  
049896,001520: 12,3444           02766                           STORE    COGA                                  
049897,001521: 12,3445           77650                           GOTO                                           #  RESTART THIS LOOP
049898,001522: 12,3446           25330                                    LAMBLOOP                              
049899,001523: 
049900,001524: 12,3447           77745        BIGTIME            DLOAD                                          
049901,001525: 12,3450           02762                                    TPREV                                 
049902,001526: 12,3451           00037                           STORE    T                                     
049903,001527: 
049904,001528: 12,3452           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
049905,001529: 12,3453           00001                                    0                                     
049906,001530: 12,3454           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
049907,001531: 12,3455           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
049908,001532: 12,3456           77650                           GOTO                                           
049909,001533: 12,3457           25436                                    COMMONLM                              
049910,001534: 
049911,001535: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
049912,001536: 12,3461           02760                                    TERRLAMB                              
049913,001537: 12,3462           41325                           PDDL     DMP                                   
049914,001538: 12,3463           02671                                    TDESIRED                              #                                PL AT 2D
049915,001539: 12,3464           10774                                    BEE17                                 
049916,001540: 12,3465           45215                           DAD      DSU                                   #                                PL AT 0D
049917,001541: 12,3466           11023                                    ONEBIT                                
049918,001542: 12,3467           43044                           BPL      SETGO                                 
049919,001543: 12,3470           25516                                    INITV                                 
049920,001544: 12,3471           02434                                    SOLNSW                                
049921,001545: 12,3472           25516                                    INITV                                 
049922,001546: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
049923,001547: 12,3474           00001                                    0                                     
049924,001548: 12,3475           02434                                    SOLNSW                                
049925,001549: 12,3476           02710                                    RTNLAMB                               
049926,001550: 
049927,001551: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
049928,001552: 12,3500           00051                                    TWEEKIT                               
049929,001553: 12,3501           10000                                    20000                                 
049930,001554: 12,3502           00011                                    COGAMIN                               
049931,001555: 12,3503           65342                           SR1      PDDL                                  #                                PL AT 2

Page 1191

049933,001557: 12,3504           00017                                    COGAMAX                               
049934,001558: 12,3505           43342                           SR1      DAD                                   
049935,001559: 12,3506           77626                           STADR                                          #                                PL AT 0
049936,001560: 12,3507           75011                           STORE    COGA                                  
049937,001561: 12,3510           00015                           STORE    DCOGA                                 
049938,001562: 12,3511           77650                           GOTO                                           
049939,001563: 12,3512           25330                                    LAMBLOOP                              
049940,001564: 
049941,001565: 12,3513           52145        LOLIM              DLOAD    GOTO                                  
049942,001566: 12,3514           11027                                    COGLOLIM                              #  COGLOLIM=-.999511597
049943,001567: 12,3515           25320                                    MINCOGA                               
049944,001568: 
049945,001569: 12,3516           60345        INITV              DLOAD    NORM                                  
049946,001570: 12,3517           00041                                    R1                                    
049947,001571: 12,3520           00047                                    X1                                    
049948,001572: 12,3521           70525                           PDDL     SR1                                   #                                PL AT 2
049949,001573: 12,3522           02740                                    P                                     
049950,001574: 12,3523           77671                           DDV                                            #                                PL AT 0
049951,001575: 12,3524           75457                           SL*      SQRT                                  
049952,001576: 12,3525           20175                                    0          -4,1                       
049953,001577: 12,3526           72405                           DMP      SL1                                   
049954,001578: 12,3527           00021                                    ROOTMU                                
049955,001579: 12,3530           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
049956,001580: 12,3531           02766                                    COGA                                  
049957,001581: 12,3532           74261                           SL       VXSC                                  
049958,001582: 12,3533           20206                                    5                                     
049959,001583: 12,3534           02722                                    UR1                                   
049960,001584: 12,3535           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
049961,001585: 12,3536           76561                           VXSC     VSL1                                  
049962,001586: 12,3537           02674                                    UN                                    
049963,001587: 12,3540           53235                           VXV      VAD                                   
049964,001588: 12,3541           02722                                    UR1                                   #                                PL AT 0
049965,001589: 12,3542           77772                           VSL1                                           
049966,001590: 12,3543           02744                           STORE    VVEC                                  
049967,001591: 12,3544           53135                           SLOAD    BZE                                   
049968,001592: 12,3545           02702                                    VTARGTAG                              
049969,001593: 12,3546           25551                                    TARGETV                               
049970,001594: 12,3547           77650                           GOTO                                           
049971,001595: 12,3550           02710                                    RTNLAMB                               
049972,001596: 
049973,001597: 12,3551           45145        TARGETV            DLOAD    CALL                                  
049974,001598: 12,3552           02720                                    MAGVEC2                               
049975,001599: 12,3553           24701                                    LAMENTER                              
049976,001600: 12,3554           02703                           STORE    VTARGET                               
049977,001601: 12,3555           77650                           GOTO                                           
049978,001602: 12,3556           02710                                    RTNLAMB                               
049979,001603: 

Page 1192

049981,001605: 12,3557           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
049982,001606: 12,3560           02710                                    RTNTR                                 
049983,001607: 12,3561           00001                                    0                                     
049984,001608: 12,3562           77600                           BOV                                            
049985,001609: 12,3563           25564                                    +1                                    
049986,001610: 12,3564           63375                           VLOAD    PDVL                                  #                                PL AT 6
049987,001611: 12,3565           02655                                    RVEC                                  
049988,001612: 12,3566           02744                                    VVEC                                  
049989,001613: 12,3567           77624                           CALL                                           
049990,001614: 12,3570           11030                                    PARAM                                 
049991,001615: 12,3571           71200                           BOV      DLOAD                                 
049992,001616: 12,3572           24764                                    COGAOVFL                              #                                PL AT 0
049993,001617: 12,3573           11007                                    D1/32                                 
049994,001618: 12,3574           41225                           DSU      DMP                                   
049995,001619: 12,3575           02742                                    R1A                                   
049996,001620: 12,3576           02740                                    P                                     
049997,001621: 12,3577           41366                           SQRT     DMP                                   
049998,001622: 12,3600           02766                                    COGA                                  
049999,001623: 12,3601           74212                           SL4      VXSC                                  
050000,001624: 12,3602           02712                                    U2                                    
050001,001625: 12,3603           45325                           PDDL     DSU                                   #                                PL AT 6
050002,001626: 12,3604           11001                                    D1/64                                 
050003,001627: 12,3605           02742                                    R1A                                   
050004,001628: 12,3606           52361                           VXSC     VSU                                   #                                PL AT 0
050005,001629: 12,3607           02722                                    UR1                                   
050006,001630: 12,3610           53512                           VSL4     UNIT                                  
050007,001631: 12,3611           77600                           BOV                                            
050008,001632: 12,3612           25670                                    CIRCULAR                              
050009,001633: 12,3613           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
050010,001634: 12,3614           02756                                    RDESIRED                              #  36D=ECC (+3)
050011,001635: 12,3615           00047                                    X1                                    
050012,001636: 12,3616           41325                           PDDL     DMP                                   #                                PL AT 8
050013,001637: 12,3617           00041                                    R1                                    
050014,001638: 12,3620           02740                                    P                                     
050015,001639: 12,3621           56257                           SL*      DDV                                   #                                PL AT 6
050016,001640: 12,3622           20201                                    0,1                                   
050017,001641: 12,3623           56225                           DSU      DDV                                   
050018,001642: 12,3624           11005                                    D1/16                                 
050019,001643: 12,3625           00045                                    36D                                   #  36D=ECC (+3)
050020,001644: 12,3626           00031                           STORE    COSF                                  
050021,001645: 12,3627           63400                           BOV      DSQ                                   
050022,001646: 12,3630           25674                                    BADR2                                 
050023,001647: 12,3631           50021                           BDSU     BMN                                   
050024,001648: 12,3632           11003                                    D1/4                                  
050025,001649: 12,3633           25674                                    BADR2                                 
050026,001650: 12,3634           75366                           SQRT     SIGN                                  
050027,001651: 12,3635           02755                                    SGNRDOT                               
050028,001652: 12,3636           77614                           CLEAR                                          
050029,001653: 12,3637           04272                                    APSESW                                

Page 1193

050031,001655: 12,3640           76561        TERMNVEC           VXSC     VSL1                                  
050032,001656: 12,3641           02674                                    UN                                    
050033,001657: 12,3642           63235                           VXV      PDVL                                  #  VXCH WITH 0D          PL AT 0,6
050034,001658: 12,3643           00001                                    0D                                    
050035,001659: 12,3644           53361                           VXSC     VAD                                   #                        PL AT 0
050036,001660: 12,3645           00031                                    COSF                                  
050037,001661: 12,3646           41572                           VSL1     PUSH                                  #  0D=U2                 PL AT 6
050038,001662: 
050039,001663: 12,3647           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
050040,001664: 12,3650           02722                                    UR1                                   
050041,001665: 12,3651           25766                                    DP1/4                                 
050042,001666: 12,3652           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
050043,001667: 12,3653           25654                                    +1                                    #  CLEAR OVFIND IF SET
050044,001668: 12,3654           26732                           STOVL    CSTH                                  #  CSTH (+1)
050045,001669: 12,3655           02722                                    UR1                                   
050046,001670: 12,3656           76435                           VXV      VSL1                                  
050047,001671: 12,3657           72441                           DOT      SL1                                   
050048,001672: 12,3660           02674                                    UN                                    
050049,001673: 12,3661           16730                           STODL    SNTH                                  #  SNTH (+1)
050050,001674: 12,3662           02740                                    P                                     
050051,001675: 12,3663           77624                           CALL                                           
050052,001676: 12,3664           24767                                    GETX                                  
050053,001677: 12,3665           77614                           CLRGO                                          
050054,001678: 12,3666           02634                                    SOLNSW                                
050055,001679: 12,3667           24747                                    COMMNOUT                              
050056,001680: 
050057,001681: 12,3670           43001        CIRCULAR           SETPD    SETGO                                 
050058,001682: 12,3671           00001                                    0                                     
050059,001683: 12,3672           02434                                    SOLNSW                                
050060,001684: 12,3673           25752                                    ABTCONIC                              
050061,001685: 
050062,001686: 12,3674           75345        BADR2              DLOAD    SIGN                                  
050063,001687: 12,3675           24005                                    LODPHALF                              
050064,001688: 12,3676           00031                                    COSF                                  
050065,001689: 12,3677           14031                           STODL    COSF                                  
050066,001690: 12,3700           24007                                    KEPZERO                               
050067,001691: 12,3701           77614                           SETGO                                          
050068,001692: 12,3702           04032                                    APSESW                                
050069,001693: 12,3703           25640                                    TERMNVEC                              
050070,001694: 

Page 1194

050072,001696: 12,3704           40220        APSIDES            STQ      SETPD                                 #                        PL AT 0
050073,001697: 12,3705           02710                                    RTNAPSE                               
050074,001698: 12,3706           00001                                    0D                                    
050075,001699: 12,3707           77600                           BOV                                            
050076,001700: 12,3710           25711                                    +1                                    
050077,001701: 12,3711           63375                           VLOAD    PDVL                                  #                        PL AT 6
050078,001702: 12,3712           02655                                    RVEC                                  
050079,001703: 12,3713           02744                                    VVEC                                  
050080,001704: 12,3714           77624                           CALL                                           
050081,001705: 12,3715           11030                                    PARAM                                 
050082,001706: 12,3716           77600                           BOV                                            #                        PL AT 0
050083,001707: 12,3717           25720                                    GETECC                                
050084,001708: 12,3720           42405        GETECC             DMP      SL4                                   
050085,001709: 12,3721           02742                                    R1A                                   
050086,001710: 12,3722           75421                           BDSU     SQRT                                  
050087,001711: 12,3723           11001                                    D1/64                                 
050088,001712: 12,3724           02752                           STORE    ECC                                   
050089,001713: 12,3725           65215                           DAD      PDDL                                  #                        PL AT 2
050090,001714: 12,3726           10775                                    D1/8                                  
050091,001715: 12,3727           00041                                    R1                                    
050092,001716: 12,3730           72405                           DMP      SL1                                   
050093,001717: 12,3731           02740                                    P                                     
050094,001718: 12,3732           77671                           DDV                                            #                        PL AT 0
050095,001719: 12,3733           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)    PL AT 2
050096,001720: 12,3734           02742                                    R1A                                   
050097,001721: 12,3735           00047                                    X1                                    
050098,001722: 12,3736           53725                           PDDL     SL*                                   #                        PL AT 4
050099,001723: 12,3737           00041                                    R1                                    
050100,001724: 12,3740           20174                                    0          -5,1                       
050101,001725: 12,3741           45271                           DDV      DSU                                   #                        PL AT 2,0
050102,001726: 12,3742           50000                           BOV      BMN                                   
050103,001727: 12,3743           25747                                    INFINAPO                              
050104,001728: 12,3744           25747                                    INFINAPO                              
050105,001729: 12,3745           77650                           GOTO                                           
050106,001730: 12,3746           02710                                    RTNAPSE                               
050107,001731: 12,3747           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
050108,001732: 12,3750           24020                                    LDPOSMAX                              
050109,001733: 12,3751           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
050110,001734: 

Page 1195

050112,001736: 12,3752           77776        ABTCONIC           EXIT                                           
050113,001737: 12,3753           05642                           TC       POODOO                                
050114,001738: 12,3754           20607                           OCT      20607                                 
050115,001739: 
050116,001740: 12,3755  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
050117,001741: 
050118,001742:                                                                                                  #  ERASABLE ASSIGNMENTS
050119,001743:                                                                                                  #  KEPLER SUBROUTINE
050120,001744: 
050121,001745:                                                                                                  #  INPUT -
050122,001746:                                                                                                  #  RRECT         ERASE   +5
050123,001747:                                                                                                  #  VRECT         ERASE   +5
050124,001748:                                                                                                  #  TAU.          ERASE   +1
050125,001749:                                                                                                  #  XKEP          ERASE   +1
050126,001750:                                                                                                  #  TC            ERASE   +1
050127,001751:                                                                                                  #  XPREV         ERASE   +1
050128,001752: 12,3755                        1/MU               EQUALS   14D                                   
050129,001753: 12,3755                        ROOTMU             EQUALS   16D                                   
050130,001754: 12,3755                        1/ROOTMU           EQUALS   18D                                   
050131,001755: 
050132,001756:                                                                                                  #  OUTPUT -
050133,001757:                                                                                                  #  RCV           ERASE   +5
050134,001758:                                                                                                  #  VCV           ERASE   +5
050135,001759:                                                                                                  #  RC            ERASE   +1
050136,001760:                                                                                                  #  XPREV         ERASE   +1
050137,001761: 
050138,001762:                                                                                                  #  DEBRIS -
050139,001763: 12,3755                        ALPHA              EQUALS   8D                                    
050140,001764: 12,3755                        XMAX               EQUALS   10D                                   
050141,001765: 12,3755                        XMIN               EQUALS   12D                                   
050142,001766: 12,3755                        X                  EQUALS   20D                                   
050143,001767: 12,3755                        XI                 EQUALS   24D                                   
050144,001768: 12,3755                        S(XI)              EQUALS   26D                                   
050145,001769: 12,3755                        XSQC(XI)           EQUALS   28D                                   
050146,001770: 12,3755                        T                  EQUALS   30D                                   
050147,001771: 12,3755                        R1                 EQUALS   32D                                   
050148,001772: 12,3755                        KEPC1              EQUALS   34D                                   
050149,001773: 12,3755                        KEPC2              EQUALS   36D                                   
050150,001774:                                                                                                  #  DELX          ERASE   +1
050151,001775:                                                                                                  #  DELT          ERASE   +1
050152,001776:                                                                                                  #  URRECT        ERASE   +5
050153,001777:                                                                                                  #  RCNORM        ERASE   +1
050154,001778:                                                                                                  #  XPREV         EQUALS  XKEP
050155,001779: 
050156,001780: 
050157,001781:                                                                                                  #  LAMBERT SUBROUTINE
050158,001782: 
050159,001783:                                                                                                  #  INPUT -
050160,001784:                                                                                                  #  R1VEC         ERASE   +5

Page 1196

050162,001786:                                                                                                  #  R2VEC         ERASE   +5
050163,001787:                                                                                                  #  TDESIRED      ERASE   +1
050164,001788:                                                                                                  #  GEOMSGN       ERASE   +0
050165,001789:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT
050166,001790:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
050167,001791:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
050168,001792:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
050169,001793:                                                                                                  #  VTARGTAG      ERASE   +0
050170,001794:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
050171,001795: 
050172,001796:                                                                                                  #  OUTPUT -
050173,001797:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
050174,001798:                                                                                                  #  V1VEC         EQUALS  MPAC
050175,001799: 
050176,001800:                                                                                                  #  DEBRIS -
050177,001801:                                                                                                  #  RTNLAMB       ERASE   +0
050178,001802:                                                                                                  #  U2            ERASE   +5
050179,001803:                                                                                                  #  MAGVEC2       ERASE   +1
050180,001804:                                                                                                  #  UR1           ERASE   +5
050181,001805:                                                                                                  #  R1            EQUALS  31D
050182,001806:                                                                                                  #  UN            ERASE   +5
050183,001807:                                                                                                  #  SNTH          ERASE   +1
050184,001808:                                                                                                  #  CSTH          ERASE   +1
050185,001809:                                                                                                  #  1-CSTH        ERASE   +1
050186,001810:                                                                                                  #  CSTH-RHO      ERASE   +1
050187,001811: 12,3755                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
050188,001812: 12,3755                        COGAMIN            EQUALS   8D                                    
050189,001813: 12,3755                        DCOGA              EQUALS   12D                                   
050190,001814:                                                                                                  #  TWEEKIT       EQUALS  40D
050191,001815:                                                                                                  #  P             ERASE   +1
050192,001816:                                                                                                  #  COGA          ERASE   +1
050193,001817:                                                                                                  #  R1A           ERASE   +1
050194,001818:                                                                                                  #  X             EQUALS  20D
050195,001819:                                                                                                  #  XSQ           EQUALS  22D
050196,001820:                                                                                                  #  XI            EQUALS  24D
050197,001821:                                                                                                  #  S(XI)         EQUALS  26D
050198,001822:                                                                                                  #  XSQC(XI)      EQUALS  28D
050199,001823:                                                                                                  #  T             EQUALS  30D
050200,001824:                                                                                                  #  KEPC1         EQUALS  34D
050201,001825:                                                                                                  #  KEPC2         EQUALS  36D
050202,001826:                                                                                                  #  SLOPESW
050203,001827:                                                                                                  #  SOLNSW
050204,001828: 
050205,001829:                                                                                                  #  OTHERS -
050206,001830:                                                                                                  #  RVEC          EQUALS  R1VEC
050207,001831:                                                                                                  #  VVEC          ERASE   +5
050208,001832:                                                                                                  #  COGAFLAG
050209,001833:                                                                                                  #  RVSW
050210,001834:                                                                                                  #  INFINFLG
050211,001835:                                                                                                  #  APSESW

Page 1197

050213,001837:                                                                                                  #  360SW
050214,001838:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
050215,001839:                                                                                                  #  ECC           ERASE   +1
050216,001840:                                                                                                  #  RTNTR         EQUALS  RTNLAMB
050217,001841:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
050218,001842:                                                                                                  #  R2            EQUALS  MAGVEC2
050219,001843: 12,3755                        COSF               EQUALS   24D                                   
050220,001844:                                                                                                  #  RTNPRM        ERASE   +0
050221,001845:                                                                                                  #  SGNRDOT       ERASE   +0
050222,001846:                                                                                                  #  RDESIRED      ERASE   +1
050223,001847: 
050224,001848: 
050225,001849:                                                                                                  #  ITERATOR SUBROUTINE
050226,001850:                                                                                                  #  ORDERSW
050227,001851: 12,3755                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
050228,001852: 12,3755                        MIN                EQUALS   8D                                    
050229,001853:                                                                                                  #  INDEP         ERASE   +1
050230,001854: 12,3755                        DELINDEP           EQUALS   12D                                   
050231,001855: 12,3755                        ITERCTR            EQUALS   22D                                   
050232,001856: 12,3755                        DEP                EQUALS   30D                                   
050233,001857:                                                                                                  #  DELDEP        ERASE   +1
050234,001858:                                                                                                  #  DEPREV        ERASE   +1
050235,001859: 12,3755                        TWEEKIT            EQUALS   40D                                   
050236,001860: 
050237,001861: 
050238,001862:                                                                                                  #  MORE KEPLER
050239,001863:                                                                                                  #  EPSILONT      ERASE   +1
050240,001864: 
050241,001865: 
050242,001866:                                                                                                  #  MORE LAMBERT
050243,001867:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
050244,001868:                                                                                                  #  TPREV         EQUALS  DEPREV
050245,001869:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD
050246,001870: 

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