Source Code

These source-code files were from the printout at the MIT Museum, with many thanks to Deborah Douglas, the Museum's Curator of Science and Technology, for releasing it to us. The printout was digitally photographed by Paul Fjeld. A team of volunteers transcribed the source code manually from these images or, where appropriate, modified already-transcribed but similar source Colossus 249 (Apollo 9) source code to agree with the images from the printout. Note that the page images presented online are of reduced quality, and that higher-quality images are available. Report any conversion errors or legibility problems in page images to info@sandroid.org. Notations on the program listing read, in part:

	GAP:  ASSEMBLE REVISION 055 OF AGC PROGRAM COMANCHE BY NASA 2021113-051
	10:28 APR.  1,1969
Note that the date is the date of the printout, not the date of the program revision.

055034,000002:                                                                                                  ## Copyright:   Public domain.
055035,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
055036,000004:                                                                                                  ## Purpose:     Part of the source code for Colossus 2A, AKA Comanche 055.
055037,000005:                                                                                                  ##              It is part of the source code for the Command Module's (CM)
055038,000006:                                                                                                  ##              Apollo Guidance Computer (AGC), for Apollo 11.
055039,000007:                                                                                                  ## Assembler:   yaYUL
055040,000008:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
055041,000009:                                                                                                  ## Website:     www.ibiblio.org/apollo.
055042,000010:                                                                                                  ## Pages:       1262-1308
055043,000011:                                                                                                  ## Mod history: 2009-05-08 RSB  Adapted from the Colossus249/ file of the
055044,000012:                                                                                                  ##                              same name, using Comanche055 page images.
055045,000013:                                                                                                  ##              2009-05-20 RSB  Corrected:  Fixed four interpreter 
055046,000014:                                                                                                  ##                              instructions.
055047,000015:                                                                                                  ##              2016-12-22 RSB  Proofed comment text using octopus/ProoferComments
055048,000016:                                                                                                  ##                              and corrected the errors found.
055049,000017:                                                                                                  ##              2017-01-07 RSB  Fixed comment errors detected in cross-diff vs
055050,000018:                                                                                                  ##                              Colossus 249.
055051,000019:                                                                                                  ##              2017-01-21 RSB  Comment-text error fixes detected in diff'ing
055052,000020:                                                                                                  ##                              vs Artemis 72.
055053,000021:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH and WHCIH -> WHICH.
055054,000022:                                                                                                  ##              2017-03-14 RSB  Comment-text fixes noted in proofing Luminary 116.
055055,000023:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
055056,000024:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
055057,000025: 
055058,000026:                                                                                                  ## This source code has been transcribed or otherwise adapted from digitized
055059,000027:                                                                                                  ## images of a hardcopy from the MIT Museum.  The digitization was performed
055060,000028:                                                                                                  ## by Paul Fjeld, and arranged for by Deborah Douglas of the Museum.  Many
055061,000029:                                                                                                  ## thanks to both.  The images (with suitable reduction in storage size and
055062,000030:                                                                                                  ## consequent reduction in image quality as well) are available online at
055063,000031:                                                                                                  ## www.ibiblio.org/apollo.  If for some reason you find that the images are
055064,000032:                                                                                                  ## illegible, contact me at info@sandroid.org about getting access to the 
055065,000033:                                                                                                  ## (much) higher-quality images which Paul actually created.
055066,000034:                                                                                                  ##
055067,000035:                                                                                                  ## Notations on the hardcopy document read, in part:
055068,000036:                                                                                                  ##
055069,000037:                                                                                                  ##      Assemble revision 055 of AGC program Comanche by NASA
055070,000038:                                                                                                  ##      2021113-051.  10:28 APR. 1, 1969  
055071,000039:                                                                                                  ##
055072,000040:                                                                                                  ##      This AGC program shall also be referred to as
055073,000041:                                                                                                  ##                      Colossus 2A
055074,000042: 

Page 1262

055076,000044:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
055077,000045:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
055078,000046:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
055079,000047: 
055080,000048:                                                                                                  #  FUNCTIONAL DESCRIPTION -
055081,000049:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
055082,000050:                                                                                                  #        INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
055083,000051:                                                                                                  #        5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
055084,000052:                                                                                                  #        RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
055085,000053:                                                                                                  #        INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
055086,000054:                                                                                                  #        EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
055087,000055:                                                                                                  #        THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
055088,000056:                                                                                                  #        DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
055089,000057:                                                                                                  #        TINES APPROPRIATELY.
055090,000058: 
055091,000059:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
055092,000060:                                                                                                  #        BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
055093,000061:                                                                                                  #        DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
055094,000062: 
055095,000063:                                                                                                  #  RESTRICTIONS -
055096,000064:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
055097,000065:                                                                                                  #        LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
055098,000066:                                                                                                  #        TORIES COULD BE HANDLED.
055099,000067: 
055100,000068:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
055101,000069:                                                                                                  #        THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
055102,000070:                                                                                                  #        TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
055103,000071: 

Page 1263

055105,000073:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
055106,000074:                                                                                                  #  MOD NO. - 1                                                   LOG SECTION - CONIC SUBROUTINES
055107,000075:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
055108,000076:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
055109,000077:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON: SUPPRESSION OF X-MODULO-ING
055110,000078:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON: CLEAR OVFIND AT KEPLER ENTRY
055111,000079: 
055112,000080:                                                                                                  #  FUNCTIONAL DESCRIPTION -
055113,000081:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
055114,000082:                                                                                                  #        BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
055115,000083:                                                                                                  #        SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON. THE
055116,000084:                                                                                                  #        USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
055117,000085:                                                                                                  #        INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
055118,000086:                                                                                                  #        TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
055119,000087: 
055120,000088:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
055121,000089:                                                                                                  #        EXTRAPOLATING THE POSITION BACKWARD IN TIME.
055122,000090: 
055123,000091:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A 
055124,000092:                                                                                                  #        MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
055125,000093: 
055126,000094:                                                                                                  #  THE RESTRICTIONS ARE -
055127,000095:                                                                                                  #        1.      (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
055128,000096:                                                                                                  #        2.      THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
055129,000097:                                                                                                  #                ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
055130,000098: 
055131,000099:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
055132,000100:                                                                                                  #        GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
055133,000101:                                                                                                  #        FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
055134,000102: 
055135,000103:                                                                                                  #  REFERENCES -
055136,000104:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
055137,000105:                                                                                                  #        MEMO 67-4.
055138,000106: 
055139,000107:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
055140,000108:                                                                                                  #                * SCALE FACTOR *
055141,000109:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055142,000110:                                                                                                  #        --------*--------------*                         -----------------------
055143,000111:                                                                                                  #        RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
055144,000112:                                                                                                  #                * +27 FOR MOON *

Page 1264

055146,000114:                                                                                                  #        VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
055147,000115:                                                                                                  #                * +5 FOR MOON  *
055148,000116:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
055149,000117:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
055150,000118:                                                                                                  #        TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
055151,000119:                                                                                                  #                *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
055152,000120:                                                                                                  #        XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS).SIGN SHOULD AGREE WITH THAT OF TAU.
055153,000121:                                                                                                  #                * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
055154,000122:                                                                                                  #                *              *    MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
055155,000123:                                                                                                  #                *              *    BY KEPLER TO A POOR BUT VALID GUESS.
055156,000124:                                                                                                  #        TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS. MUST BE LESS THAN ONE ORBITAL PERIOD.
055157,000125:                                                                                                  #        XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
055158,000126:                                                                                                  #                * +16 FOR MOON *    ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
055159,000127: 
055160,000128:                                                                                                  #  SUBROUTINES CALLED -
055161,000129:                                                                                                  #        DELTIME
055162,000130: 
055163,000131:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
055164,000132:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055165,000133:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC.  PL IS AT 0.
055166,000134:                                                                                                  #        KEPRTN          ...                     CONTINUE
055167,000135: 
055168,000136:                                                                                                  #        KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
055169,000137:                                                                                                  #        THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
055170,000138:                                                                                                  #        ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
055171,000139: 
055172,000140:                                                                                                  #  ABORT EXIT MODES -
055173,000141:                                                                                                  #        NONE
055174,000142: 
055175,000143:                                                                                                  #  OUTPUT -
055176,000144:                                                                                                  #                * SCALE FACTOR *
055177,000145:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055178,000146:                                                                                                  #        --------*--------------*                         -----------------------
055179,000147:                                                                                                  #        RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
055180,000148:                                                                                                  #                * +27 FOR MOON *
055181,000149:                                                                                                  #        VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
055182,000150:                                                                                                  #                * +5 FOR MOON  *
055183,000151:                                                                                                  #        TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED.  ALWAYS LESS THAN ONE PERIOD.
055184,000152:                                                                                                  #        XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
055185,000153:                                                                                                  #                * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1265

055187,000155:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
055188,000156: 
055189,000157:                                                                                                  #  DEBRIS -
055190,000158:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
055191,000159:                                                                                                  #                * SCALE FACTOR *
055192,000160:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055193,000161:                                                                                                  #        --------*--------------*                         -----------------------
055194,000162:                                                                                                  #        URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
055195,000163:                                                                                                  #        R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
055196,000164:                                                                                                  #                * +27 FOR MOON *
055197,000165:                                                                                                  #        ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
055198,000166:                                                                                                  #                * -20 FOR MOON *
055199,000167:                                                                                                  #        TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
055200,000168:                                                                                                  #                *              *TAU. OF LESS THAN ONE PERIOD.
055201,000169: 
055202,000170:                                                                                                  #  PARAMETERS OF NO USE -
055203,000171:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
055204,000172: 

Page 1266

055206,000174:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
055207,000175:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
055208,000176:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
055209,000177: 
055210,000178:                                                                                                  #  FUNCTIONAL DESCRIPTION -
055211,000179:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
055212,000180:                                                                                                  #        FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
055213,000181:                                                                                                  #        A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
055214,000182:                                                                                                  #        SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
055215,000183:                                                                                                  #        CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
055216,000184:                                                                                                  #        UTILIZED IN THE COMPUTATION.
055217,000185: 
055218,000186:                                                                                                  #  THE RESTRICTIONS ARE -
055219,000187:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
055220,000188:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
055221,000189:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
055222,000190:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
055223,000191:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
055224,000192:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
055225,000193:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
055226,000194: 
055227,000195:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
055228,000196:                                                                                                  #        GUESS OF THE INDEPENDENT VARIABLE, COGA.                           THE AGC COMPUTATION TIME IS APPROXIMATE-
055229,000197:                                                                                                  #        LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
055230,000198: 
055231,000199:                                                                                                  #  REFERENCES -
055232,000200:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
055233,000201:                                                                                                  #        SGA MEMO 67-4.
055234,000202: 
055235,000203:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
055236,000204:                                                                                                  #                * SCALE FACTOR *
055237,000205:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055238,000206:                                                                                                  #        --------*--------------*                         -----------------------
055239,000207:                                                                                                  #        R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
055240,000208:                                                                                                  #                * +27 FOR MOON *
055241,000209:                                                                                                  #        R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
055242,000210:                                                                                                  #                * +27 FOR MOON *
055243,000211:                                                                                                  #        TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
055244,000212:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
055245,000213:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
055246,000214:                                                                                                  #        GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
055247,000215:                                                                                                  #        GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1267

055249,000217:                                                                                                  #                *              *COGA IS TO BE USED BY LAMBERT
055250,000218:                                                                                                  #        COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
055251,000219:                                                                                                  #                               *IGNORED IF GUESSW IS SET.
055252,000220:                                                                                                  #        NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
055253,000221:                                                                                                  #                *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
055254,000222:                                                                                                  #        UN      * +1           *DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
055255,000223:                                                                                                  #                *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
055256,000224:                                                                                                  #        VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
055257,000225:                                                                                                  #                *              *AT R1VEC.
055258,000226: 
055259,000227:                                                                                                  #  SUBROUTINES CALLED -
055260,000228:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
055261,000229: 
055262,000230:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
055263,000231:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055264,000232:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
055265,000233:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
055266,000234:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
055267,000235:                                                                                                  #        L+3             SOLNSW
055268,000236:                                                                                                  #        L+4             LAMABORT
055269,000237: 
055270,000238:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
055271,000239:                                                                                                  #        GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
055272,000240: 
055273,000241:                                                                                                  #  ABORT EXIT MODES -
055274,000242:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
055275,000243:                                                                                                  #        WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
055276,000244:                                                                                                  #        ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
055277,000245:                                                                                                  #        LAMABORT        DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
055278,000246:                                                                                                  #                                1-CSTH          360 DEGREES.
055279,000247:                                                                                                  #                        DSU     BMN
055280,000248:                                                                                                  #                                ONEBIT
055281,000249:                                                                                                  #                                CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
055282,000250:                                                                                                  #                        DLOAD   DAD
055283,000251:                                                                                                  #                                TDESIRED
055284,000252:                                                                                                  #                                SOMETIME
055285,000253:                                                                                                  #                        STCALL  TDESIRED        INCREASE TDESIRED
055286,000254:                                                                                                  #                                LAMBERT
055287,000255: 
055288,000256:                                                                                                  #  OUTPUT -
055289,000257:                                                                                                  #                * SCALE FACTOR *
055290,000258:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS

Page 1268

055292,000260:                                                                                                  #        --------*--------------*                         -----------------------
055293,000261:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
055294,000262:                                                                                                  #                * +5 FOR MOON  *PROBLEM.
055295,000263:                                                                                                  #        VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
055296,000264:                                                                                                  #                * +5 FOR MOON  *
055297,000265:                                                                                                  #        SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
055298,000266:                                                                                                  #                *              *SOLUTION EXISTS.
055299,000267: 
055300,000268:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
055301,000269: 
055302,000270:                                                                                                  #  DEBRIS -
055303,000271:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
055304,000272:                                                                                                  #                * SCALE FACTOR *
055305,000273:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055306,000274:                                                                                                  #        --------*--------------*                         -----------------------
055307,000275:                                                                                                  #        SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
055308,000276:                                                                                                  #        CSTH    * +1           *DP COSINE OF ANGLE
055309,000277:                                                                                                  #        1-CSTH  * +2           *DP 1-CSTH
055310,000278:                                                                                                  #        COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
055311,000279:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
055312,000280:                                                                                                  #        R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
055313,000281:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
055314,000282:                                                                                                  #                * +27 FOR MOON *
055315,000283:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF R1VEC
055316,000284:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF R2VEC
055317,000285: 
055318,000286:                                                                                                  #        PARAMETERS OF NO USE
055319,000287:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
055320,000288:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
055321,000289: 

Page 1269

055323,000291:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
055324,000292:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
055325,000293:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
055326,000294: 
055327,000295:                                                                                                  #  FUNCTIONAL DESCRIPTION -
055328,000296:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
055329,000297:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
055330,000298:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
055331,000299:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
055332,000300:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
055333,000301:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
055334,000302: 
055335,000303:                                                                                                  #  THE RESTRICTIONS ARE -
055336,000304:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
055337,000305:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
055338,000306:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
055339,000307:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
055340,000308: 
055341,000309:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
055342,000310: 
055343,000311:                                                                                                  #  REFERENCES -
055344,000312:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
055345,000313: 
055346,000314:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
055347,000315:                                                                                                  #                * SCALE FACTOR *
055348,000316:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055349,000317:                                                                                                  #        --------*--------------*                         -----------------------
055350,000318:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
055351,000319:                                                                                                  #                * +27 FOR MOON *
055352,000320:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
055353,000321:                                                                                                  #                * +5 FOR MOON  *
055354,000322:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
055355,000323:                                                                                                  #        CSTH    * +1           *DP COSINE OF THE ANGLE
055356,000324:                                                                                                  #        RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
055357,000325:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
055358,000326:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
055359,000327:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
055360,000328: 
055361,000329:                                                                                                  #  SUBROUTINES CALLED -

Page 1270

055363,000331:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
055364,000332: 
055365,000333:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
055366,000334:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
055367,000335:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055368,000336:                                                                                                  #        L+1             RVSW
055369,000337:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
055370,000338:                                                                                                  #        L+3     ...                     CONTINUE
055371,000339: 
055372,000340:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
055373,000341:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055374,000342:                                                                                                  #        L+1             RVSW
055375,000343:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
055376,000344:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
055377,000345:                                                                                                  #        L+3     STOVL   NEWVVEC
055378,000346:                                                                                                  #        L+4     STADR
055379,000347:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
055380,000348:                                                                                                  #        L+6     ...                     CONTINUE
055381,000349: 
055382,000350:                                                                                                  #  ABORT EXIT MODES -
055383,000351:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
055384,000352:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
055385,000353: 
055386,000354:                                                                                                  #  OUTPUT -
055387,000355:                                                                                                  #                * SCALE FACTOR *
055388,000356:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055389,000357:                                                                                                  #        --------*--------------*                         -----------------------
055390,000358:                                                                                                  #        T(30D)  * +28          *DP TRANSFER TIME IN CENTISECONDS
055391,000359:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
055392,000360:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
055393,000361:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
055394,000362:                                                                                                  #                *              *CLEAR IF NOT.
055395,000363: 
055396,000364:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
055397,000365:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
055398,000366:                                                                                                  #         MPAC +5* +5 FOR MOON  *
055399,000367:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
055400,000368:                                                                                                  #                * +27 FOR MOON *
055401,000369: 
055402,000370:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.

Page 1271

055404,000372: 
055405,000373:                                                                                                  #  DEBRIS -
055406,000374:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
055407,000375:                                                                                                  #                * SCALE FACTOR *
055408,000376:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055409,000377:                                                                                                  #        --------*--------------*                         -----------------------
055410,000378:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
055411,000379:                                                                                                  #                * +27 FOR MOON *
055412,000380:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
055413,000381:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
055414,000382:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
055415,000383:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
055416,000384:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
055417,000385:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
055418,000386: 
055419,000387:                                                                                                  #  PARAMETERS OF NO USE -
055420,000388:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
055421,000389:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
055422,000390: 

Page 1272

055424,000392:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
055425,000393:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
055426,000394:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
055427,000395: 
055428,000396:                                                                                                  #  FUNCTIONAL DESCRIPTION -
055429,000397:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
055430,000398:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
055431,000399:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
055432,000400:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
055433,000401:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
055434,000402:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
055435,000403: 
055436,000404:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
055437,000405:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
055438,000406: 
055439,000407:                                                                                                  #  THE RESTRICTIONS ARE -
055440,000408:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
055441,000409:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
055442,000410:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
055443,000411:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
055444,000412:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
055445,000413:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
055446,000414:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
055447,000415: 
055448,000416:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
055449,000417: 
055450,000418:                                                                                                  #  REFERENCES -
055451,000419:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
055452,000420: 
055453,000421:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
055454,000422:                                                                                                  #                * SCALE FACTOR *
055455,000423:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055456,000424:                                                                                                  #        --------*--------------*                         -----------------------
055457,000425:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
055458,000426:                                                                                                  #                * +27 FOR MOON *
055459,000427:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
055460,000428:                                                                                                  #                * +5 FOR MOON  *
055461,000429:                                                                                                  #        RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
055462,000430:                                                                                                  #                * +27 FOR MOON *COMPUTED.
055463,000431:                                                                                                  #        SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
055464,000432:                                                                                                  #                *              *POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1273

055466,000434:                                                                                                  #                *              *SINGLE-VALUED PROBLEM.
055467,000435:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
055468,000436:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
055469,000437:                                                                                                  #        RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
055470,000438:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
055471,000439: 
055472,000440:                                                                                                  #  SUBROUTINES CALLED -
055473,000441:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
055474,000442: 
055475,000443:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
055476,000444:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
055477,000445:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055478,000446:                                                                                                  #        L+1             RVSW
055479,000447:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
055480,000448:                                                                                                  #        L+3     ...                     CONTINUE
055481,000449: 
055482,000450:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
055483,000451:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055484,000452:                                                                                                  #        L+1             RVSW
055485,000453:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
055486,000454:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
055487,000455:                                                                                                  #        L+3     STOVL   NEWVVEC
055488,000456:                                                                                                  #        L+4     STADR
055489,000457:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
055490,000458:                                                                                                  #        L+6     ...                     CONTINUE
055491,000459: 
055492,000460:                                                                                                  #  ABORT EXIT MODES -
055493,000461:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
055494,000462:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 & 721)
055495,000463: 
055496,000464:                                                                                                  #  OUTPUT -
055497,000465:                                                                                                  #                * SCALE FACTOR *
055498,000466:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055499,000467:                                                                                                  #        --------*--------------*                         -----------------------
055500,000468:                                                                                                  #        T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
055501,000469:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
055502,000470:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
055503,000471:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
055504,000472:                                                                                                  #                *              *CLEAR IF NOT.
055505,000473:                                                                                                  #        APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1274

055507,000475:                                                                                                  #                *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
055508,000476:                                                                                                  #                *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
055509,000477:                                                                                                  #                *              *APOCENTER.
055510,000478:                                                                                                  #        SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
055511,000479:                                                                                                  #                               *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
055512,000480:                                                                                                  #                               *MINUS-18, THE SWITCH IS CLEAR.
055513,000481: 
055514,000482:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
055515,000483:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
055516,000484:                                                                                                  #         MPAC +5* +5 FOR MOON  *
055517,000485:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
055518,000486:                                                                                                  #                * +27 FOR MOON *
055519,000487: 
055520,000488:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
055521,000489: 
055522,000490:                                                                                                  #  DEBRIS -
055523,000491:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
055524,000492:                                                                                                  #                * SCALE FACTOR *
055525,000493:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055526,000494:                                                                                                  #        --------*--------------*                         -----------------------
055527,000495:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
055528,000496:                                                                                                  #                * +27 FOR MOON *
055529,000497:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
055530,000498:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
055531,000499:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
055532,000500:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
055533,000501:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
055534,000502:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
055535,000503:                                                                                                  #        CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
055536,000504:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
055537,000505: 
055538,000506:                                                                                                  #        PARAMETERS OF NO USE -
055539,000507:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
055540,000508:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
055541,000509: 
055542,000510: 

Page 1275

055544,000512:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
055545,000513:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
055546,000514:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
055547,000515: 
055548,000516:                                                                                                  #  FUNCTIONAL DESCRIPTION -
055549,000517:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
055550,000518:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
055551,000519:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
055552,000520:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
055553,000521:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
055554,000522: 
055555,000523:                                                                                                  #  THE RESTRICTIONS ARE -
055556,000524:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
055557,000525:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
055558,000526:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
055559,000527:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
055560,000528: 
055561,000529:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
055562,000530: 
055563,000531:                                                                                                  #  REFERENCES -
055564,000532:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
055565,000533: 
055566,000534:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
055567,000535:                                                                                                  #                * SCALE FACTOR *
055568,000536:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055569,000537:                                                                                                  #        --------*--------------*                         -----------------------
055570,000538:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
055571,000539:                                                                                                  #                * +27 FOR MOON *
055572,000540:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
055573,000541:                                                                                                  #                * +5 FOR MOON  *
055574,000542:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
055575,000543:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
055576,000544: 
055577,000545:                                                                                                  #  SUBROUTINES CALLED -
055578,000546:                                                                                                  #        PARAM, GEOM
055579,000547: 
055580,000548:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1276

055582,000550:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
055583,000551:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055584,000552:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
055585,000553:                                                                                                  #        L+2     STODL   APOAPSE
055586,000554:                                                                                                  #        L+3             0D
055587,000555:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
055588,000556:                                                                                                  #        L+5     ...                     CONTINUE
055589,000557: 
055590,000558:                                                                                                  #  OUTPUT -
055591,000559:                                                                                                  #                * SCALE FACTOR *
055592,000560:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055593,000561:                                                                                                  #        --------*--------------*                         -----------------------
055594,000562:                                                                                                  #        MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
055595,000563:                                                                                                  #                * +27 FOR MOON *
055596,000564:                                                                                                  #        0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
055597,000565:                                                                                                  #                * +27 FOR MOON *
055598,000566:                                                                                                  #        ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
055599,000567: 
055600,000568:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
055601,000569: 
055602,000570:                                                                                                  #  DEBRIS -
055603,000571:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
055604,000572:                                                                                                  #                * SCALE FACTOR *
055605,000573:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055606,000574:                                                                                                  #        --------*--------------*                         -----------------------
055607,000575:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
055608,000576:                                                                                                  #                * +27 FOR MOON *
055609,000577:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
055610,000578:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
055611,000579:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
055612,000580:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
055613,000581:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
055614,000582:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
055615,000583:                                                                                                  #        MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
055616,000584:                                                                                                  #                * +5 FOR MOON  *
055617,000585: 
055618,000586:                                                                                                  #        PARAMETERS OF NO USE -
055619,000587:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
055620,000588:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
055621,000589: 
055622,000590: 12,2000                                           SETLOC   CONICS                                

Page 1277

055624,000592: 12,2000                                           BANK                                           
055625,000593: 
055626,000594: 12,2042                                           COUNT    12/CONIC                              
055627,000595: 
055628,000596: 12,2042  E5,1723                                  EBANK=   UR1                                   
055629,000597: 12,2042           40001        KEPLERN            SETPD    BOV                                   
055630,000598: 12,2043           00001                                    0                                     
055631,000599: 12,2044           24045                                    +1                                    
055632,000600: 12,2045           77773                           VLOAD*                                         
055633,000601: 12,2046           11740                                    MUTABLE,1                             
055634,000602: 12,2047           24017                           STOVL    14D                                   
055635,000603: 12,2050           01503                                    RRECT                                 
055636,000604: 12,2051           66256                           UNIT     SSP                                   
055637,000605: 12,2052           00027                                    ITERCTR                               
055638,000606: 12,2053           00024                                    20D                                   
055639,000607: 12,2054           16647                           STODL    URRECT                                
055640,000608: 12,2055           00045                                    36D                                   
055641,000609: 12,2056           24041                           STOVL    R1                                    
055642,000610: 12,2057           01503                                    RRECT                                 
055643,000611: 12,2060           76441                           DOT      SL1R                                  
055644,000612: 12,2061           01511                                    VRECT                                 
055645,000613: 12,2062           76405                           DMP      SL1R                                  
055646,000614: 12,2063           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
055647,000615: 12,2064           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
055648,000616: 
055649,000617: 12,2065           01511                                    VRECT                                 
055650,000618: 12,2066           57236                           VSQ      DMPR                                  
055651,000619: 12,2067           00017                                    1/MU                                  #  1/MU (-34 OR -28)
055652,000620: 12,2070           52405                           DMP      SL3                                   
055653,000621: 12,2071           00041                                    R1                                    
055654,000622: 12,2072           61425                           DSU      ROUND                                 
055655,000623: 12,2073           11610                                    D1/64                                 
055656,000624: 12,2074           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
055657,000625: 
055658,000626: 12,2075           74421                           BDSU     SR1R                                  
055659,000627: 12,2076           11610                                    D1/64                                 
055660,000628: 12,2077           77671                           DDV                                            
055661,000629: 12,2100           00041                                    R1                                    
055662,000630: 12,2101           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
055663,000631: 
055664,000632: 12,2102           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
055665,000633: 12,2103           24112                                    1REV                                  
055666,000634: 12,2104           11626                                    -50SC                                 #  -50SC (+12)
055667,000635: 12,2105           40071                           DDV      BOV                                   
055668,000636: 12,2106           00011                                    ALPHA                                 
055669,000637: 12,2107           24116                                    STOREMAX                              
055670,000638: 12,2110           52166                           SQRT     GOTO                                  
055671,000639: 12,2111           24116                                    STOREMAX                              

Page 1278

055673,000641: 12,2112           55366        1REV               SQRT     BDDV                                  
055674,000642: 12,2113           11630                                    2PISC                                 #  2PISC (+6)
055675,000643: 12,2114           77600                           BOV                                            
055676,000644: 12,2115           24116                                    STOREMAX                              
055677,000645: 12,2116           00013        STOREMAX           STORE    XMAX                                  
055678,000646: 12,2117           65205                           DMP      PDDL                                  
055679,000647: 12,2120           00023                                    1/ROOTMU                              
055680,000648: 12,2121           00011                                    ALPHA                                 
055681,000649: 12,2122           65301                           NORM     PDDL                                  
055682,000650: 12,2123           00047                                    X1                                    
055683,000651: 12,2124           56257                           SL*      DDV                                   
055684,000652: 12,2125           20173                                    0          -6,1                       
055685,000653: 12,2126           50000                           BOV      BMN                                   
055686,000654: 12,2127           24143                                    MODDONE                               
055687,000655: 12,2130           24143                                    MODDONE                               #  MPAC=PERIOD
055688,000656: 12,2131           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
055689,000657: 12,2132           02312                                    TAU.                                  
055690,000658: 12,2133           50025                           DSU      BMN                                   
055691,000659: 12,2134           00001                                    0D                                    
055692,000660: 12,2135           24143                                    MODDONE                               
055693,000661: 12,2136           77765                           SIGN                                           
055694,000662: 12,2137           02312                                    TAU.                                  
055695,000663: 12,2140           16312                           STODL    TAU.                                  
055696,000664: 12,2141           77650                           GOTO                                           
055697,000665: 12,2142           24131                                    PERIODCH                              
055698,000666: 12,2143           71201        MODDONE            SETPD    DLOAD                                 
055699,000667: 12,2144           00001                                    0                                     
055700,000668: 12,2145           02306                                    XKEPNEW                               
055701,000669: 12,2146           00025                           STORE    X                                     
055702,000670: 12,2147           53165                           SIGN     BZE                                   
055703,000671: 12,2150           02312                                    TAU.                                  
055704,000672: 12,2151           24320                                    BADX                                  
055705,000673: 12,2152           51440                           BMN      ABS                                   
055706,000674: 12,2153           24320                                    BADX                                  
055707,000675: 12,2154           51025                           DSU      BPL                                   
055708,000676: 12,2155           00013                                    XMAX                                  
055709,000677: 12,2156           24320                                    BADX                                  
055710,000678: 12,2157           51145        STORBNDS           DLOAD    BPL                                   
055711,000679: 12,2160           02312                                    TAU.                                  
055712,000680: 12,2161           24170                                    STOREMIN                              
055713,000681: 12,2162           57545                           DLOAD    DCOMP                                 
055714,000682: 12,2163           00013                                    XMAX                                  
055715,000683: 12,2164           14015                           STODL    XMIN                                  
055716,000684: 12,2165           11566                                    KEPZERO                               
055717,000685: 12,2166           34013                           STCALL   XMAX                                  
055718,000686: 12,2167           24173                                    DXCOMP                                
055719,000687: 12,2170           77745        STOREMIN           DLOAD                                          
055720,000688: 12,2171           11566                                    KEPZERO                               
055721,000689: 12,2172           00015                           STORE    XMIN                                  
055722,000690: 12,2173           57345        DXCOMP             DLOAD    DMPR                                  

Page 1279

055724,000692: 12,2174           02312                                    TAU.                                  
055725,000693: 12,2175           11621                                    BEE22                                 
055726,000694: 12,2176           77646                           ABS                                            
055727,000695: 12,2177           15350                           STODL    EPSILONT                              
055728,000696: 12,2200           01553                                    XPREV                                 
055729,000697: 12,2201           77621        XDIFF              BDSU                                           
055730,000698: 12,2202           00025                                    X                                     
055731,000699: 12,2203           02643                           STORE    DELX                                  
055732,000700: 
055733,000701: 12,2204           63545        KEPLOOP            DLOAD    DSQ                                   
055734,000702: 12,2205           00025                                    X                                     #  X=XKEP
055735,000703: 12,2206           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
055736,000704: 12,2207           00047                                    X1                                    
055737,000705: 12,2210           53605                           DMP      SRR*                                  
055738,000706: 12,2211           00011                                    ALPHA                                 
055739,000707: 12,2212           21573                                    0          -6,1                       
055740,000708: 12,2213           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
055741,000709: 12,2214           24433                                    DELTIME                               
055742,000710: 12,2215           44200                           BOV      BDSU                                  
055743,000711: 12,2216           24326                                    TIMEOVFL                              #  UNLIKELY
055744,000712: 12,2217           02312                                    TAU.                                  
055745,000713: 12,2220           02645                           STORE    DELT                                  #  DELT=DELINDEP
055746,000714: 12,2221           44246                           ABS      BDSU                                  
055747,000715: 12,2222           01350                                    EPSILONT                              
055748,000716: 12,2223           71244                           BPL      DLOAD                                 
055749,000717: 12,2224           24346                                    KEPCONVG                              
055750,000718: 12,2225           00037                                    T                                     
055751,000719: 12,2226           60225                           DSU      NORM                                  
055752,000720: 12,2227           01551                                    TC                                    
055753,000721: 12,2230           00047                                    X1                                    
055754,000722: 12,2231           60325                           PDDL     NORM                                  
055755,000723: 12,2232           02643                                    DELX                                  
055756,000724: 12,2233           00050                                    X2                                    
055757,000725: 12,2234           41260                           XSU,1    DMP                                   
055758,000726: 12,2235           00047                                    X2                                    
055759,000727: 12,2236           02645                                    DELT                                  
055760,000728: 12,2237           56257                           SLR*     DDV                                   
055761,000729: 12,2240           21202                                    1,1                                   
055762,000730: 12,2241           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
055763,000731: 12,2242           71244                           BPL      DLOAD                                 
055764,000732: 12,2243           24264                                    POSDELX                               
055765,000733: 12,2244           00025                                    X                                     
055766,000734: 12,2245           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
055767,000735: 12,2246           45221                           BDSU     DSU                                   #                        PL AT 0
055768,000736: 12,2247           00015                                    XMIN                                  
055769,000737: 12,2250           51000                           BOV      BPL                                   
055770,000738: 12,2251           24256                                    NDXCHNGE                              
055771,000739: 12,2252           24256                                    NDXCHNGE                              
055772,000740: 12,2253           52145                           DLOAD    GOTO                                  

Page 1280

055774,000742: 12,2254           00001                                    0D                                    
055775,000743: 12,2255           24276                                    NEWDELX                               
055776,000744: 
055777,000745: 12,2256           45345        NDXCHNGE           DLOAD    DSU                                   
055778,000746: 12,2257           00015                                    XMIN                                  
055779,000747: 12,2260           00025                                    X                                     
055780,000748: 12,2261           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
055781,000749: 12,2262           11624                                    DP9/10                                
055782,000750: 12,2263           24276                                    NEWDELX                               
055783,000751: 
055784,000752: 12,2264           77745        POSDELX            DLOAD                                          
055785,000753: 12,2265           00025                                    X                                     
055786,000754: 12,2266           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
055787,000755: 12,2267           45221                           BDSU     DSU                                   #                        PL AT 0
055788,000756: 12,2270           00013                                    XMAX                                  
055789,000757: 12,2271           50000                           BOV      BMN                                   
055790,000758: 12,2272           24312                                    PDXCHNGE                              
055791,000759: 12,2273           24312                                    PDXCHNGE                              
055792,000760: 12,2274           77745                           DLOAD                                          
055793,000761: 12,2275           00001                                    0D                                    
055794,000762: 12,2276           02643        NEWDELX            STORE    DELX                                  
055795,000763: 12,2277           43254                           BZE      DAD                                   
055796,000764: 12,2300           24346                                    KEPCONVG                              
055797,000765: 12,2301           00025                                    X                                     
055798,000766: 12,2302           14025                           STODL    X                                     
055799,000767: 12,2303           00037                                    T                                     
055800,000768: 12,2304           01551                           STORE    TC                                    
055801,000769: 12,2305           46034        BRNCHCTR           RTB      BHIZ                                  
055802,000770: 12,2306           24656                                    CHECKCTR                              
055803,000771: 12,2307           24346                                    KEPCONVG                              
055804,000772: 12,2310           77650                           GOTO                                           
055805,000773: 12,2311           24204                                    KEPLOOP                               #  ITERATE
055806,000774: 
055807,000775: 12,2312           45345        PDXCHNGE           DLOAD    DSU                                   
055808,000776: 12,2313           00013                                    XMAX                                  
055809,000777: 12,2314           00025                                    X                                     
055810,000778: 12,2315           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
055811,000779: 12,2316           11624                                    DP9/10                                
055812,000780: 12,2317           24276                                    NEWDELX                               
055813,000781: 
055814,000782: 12,2320           70545        BADX               DLOAD    SR1                                   
055815,000783: 12,2321           00013                                    XMAX                                  
055816,000784: 12,2322           77765                           SIGN                                           
055817,000785: 12,2323           02312                                    TAU.                                  
055818,000786: 12,2324           34025                           STCALL   X                                     
055819,000787: 12,2325           24157                                    STORBNDS                              

Page 1281

055821,000789: 12,2326           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
055822,000790: 12,2327           00025                                    X                                     
055823,000791: 12,2330           24344                                    NEGTOVFL                              
055824,000792: 12,2331           00013                           STORE    XMAX                                  
055825,000793: 12,2332           70545        CMNTOVFL           DLOAD    SR1                                   
055826,000794: 12,2333           02643                                    DELX                                  
055827,000795: 12,2334           02643                           STORE    DELX                                  
055828,000796: 12,2335           44254                           BZE      BDSU                                  
055829,000797: 12,2336           02270                                    KEPRTN                                
055830,000798: 12,2337           00025                                    X                                     
055831,000799: 12,2340           14025                           STODL    X                                     
055832,000800: 12,2341           01551                                    TC                                    
055833,000801: 12,2342           34037                           STCALL   T                                     
055834,000802: 12,2343           24305                                    BRNCHCTR                              
055835,000803: 12,2344           34015        NEGTOVFL           STCALL   XMIN                                  
055836,000804: 12,2345           24332                                    CMNTOVFL                              
055837,000805: 12,2346           44545        KEPCONVG           DLOAD    SR4R                                  
055838,000806: 12,2347           00041                                    R1                                    
055839,000807: 12,2350           74225                           DSU      VXSC                                  
055840,000808: 12,2351           00035                                    XSQC(XI)                              
055841,000809: 12,2352           02647                                    URRECT                                
055842,000810: 12,2353           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
055843,000811: 12,2354           00025                                    X                                     
055844,000812: 12,2355           60316                           DSQ      NORM                                  
055845,000813: 12,2356           00047                                    X1                                    
055846,000814: 12,2357           57275                           DMPR     DMPR                                  
055847,000815: 12,2360           00023                                    1/ROOTMU                              
055848,000816: 12,2361           00025                                    X                                     
055849,000817: 12,2362           53605                           DMP      SRR*                                  
055850,000818: 12,2363           00033                                    S(XI)                                 
055851,000819: 12,2364           21572                                    0          -7,1                       
055852,000820: 12,2365           77621                           BDSU                                           
055853,000821: 12,2366           00037                                    T                                     
055854,000822: 12,2367           74352                           SL1      VXSC                                  
055855,000823: 12,2370           01511                                    VRECT                                 
055856,000824: 12,2371           53372                           VSL1     VAD                                   #                                PL AT 0
055857,000825: 12,2372           77712                           VSL4                                           
055858,000826: 12,2373           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
055859,000827: 
055860,000828: 12,2374           60246                           ABVAL    NORM                                  
055861,000829: 12,2375           00050                                    X2                                    
055862,000830: 12,2376           16655                           STODL    RCNORM                                
055863,000831: 12,2377           00031                                    XI                                    
055864,000832: 12,2400           45275                           DMPR     DSU                                   
055865,000833: 12,2401           00033                                    S(XI)                                 
055866,000834: 12,2402           11606                                    D1/128                                
055867,000835: 12,2403           76405                           DMP      SL1R                                  
055868,000836: 12,2404           00021                                    ROOTMU                                
055869,000837: 12,2405           53605                           DMP      SLR*                                  

Page 1282

055871,000839: 12,2406           00025                                    X                                     
055872,000840: 12,2407           56601                                    0          -3,2                       
055873,000841: 12,2410           74271                           DDV      VXSC                                  
055874,000842: 12,2411           02655                                    RCNORM                                
055875,000843: 12,2412           02647                                    URRECT                                
055876,000844: 12,2413           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
055877,000845: 12,2414           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
055878,000846: 12,2415           56257                           SLR*     DDV                                   
055879,000847: 12,2416           56602                                    0          -4,2                       
055880,000848: 12,2417           02655                                    RCNORM                                
055881,000849: 12,2420           74221                           BDSU     VXSC                                  
055882,000850: 12,2421           11622                                    D1/256                                
055883,000851: 12,2422           01511                                    VRECT                                 
055884,000852: 12,2423           42455                           VAD      VSL8                                  
055885,000853: 12,2424           77626                           STADR                                          #                                PL AT 0
055886,000854: 12,2425           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
055887,000855: 12,2426           00037                                    T                                     
055888,000856: 12,2427           15551                           STODL    TC                                    
055889,000857: 12,2430           00025                                    X                                     
055890,000858: 12,2431           35553                           STCALL   XPREV                                 
055891,000859: 12,2432           02270                                    KEPRTN                                
055892,000860: 

Page 1283

055894,000862: 12,2433           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
055895,000863: 12,2434           07171                           TC       POLY                                  
055896,000864: 12,2435           00010                           DEC      8          B-14                       
055897,000865: 12,2436           02525 12526                     2DEC     .083333334                            
055898,000866: 
055899,000867: 12,2440           67356 75666                     2DEC     -.266666684                            
055900,000868: 
055901,000869: 12,2442           15001 23771                     2DEC     .406349155                            
055902,000870: 
055903,000871: 12,2444           64342 43674                     2DEC     -.361198675                            
055904,000872: 
055905,000873: 12,2446           06563 04645                     2DEC     .210153242                            
055906,000874: 
055907,000875: 12,2450           75173 52672                     2DEC     -.086221951                            
055908,000876: 
055909,000877: 12,2452           00656 14331                     2DEC     .026268812                            
055910,000878: 
055911,000879: 12,2454           77633 40512                     2DEC     -.006163316                            
055912,000880: 
055913,000881: 12,2456           00023 11210                     2DEC     .001177342                            
055914,000882: 
055915,000883: 12,2460           77774 67506                     2DEC     -.000199055                            
055916,000884: 
055917,000885: 12,2462           06006                           TC       INTPRET                               
055918,000886: 12,2463           14033                           STODL    S(XI)                                 
055919,000887: 12,2464           00031                                    XI                                    
055920,000888: 12,2465           77776                           EXIT                                           
055921,000889: 12,2466           07171                           TC       POLY                                  
055922,000890: 12,2467           00010                           DEC      8          B-14                       
055923,000891: 12,2470           01000 00000                     2DEC     .031250001                            
055924,000892: 
055925,000893: 12,2472           72525 52506                     2DEC     -.166666719                            
055926,000894: 
055927,000895: 12,2474           13301 15337                     2DEC     .355555413                            
055928,000896: 
055929,000897: 12,2476           62776 54733                     2DEC     -.406347410                            
055930,000898: 
055931,000899: 12,2500           11176 13267                     2DEC     .288962094                            
055932,000900: 
055933,000901: 12,2502           73410 51674                     2DEC     -.140117894                            
055934,000902: 
055935,000903: 12,2504           01446 33641                     2DEC     .049247387                            
055936,000904: 
055937,000905: 12,2506           77451 65233                     2DEC     -.013081923                            
055938,000906: 
055939,000907: 12,2510           00055 37266                     2DEC     .002806389                            
055940,000908: 
055941,000909: 12,2512           77767 52336                     2DEC     -.000529414                            
055942,000910: 
055943,000911: 12,2514           06006                           TC       INTPRET                               

Page 1284

055945,000913: 12,2515           53605                           DMP      SRR*                                  #                                PL AT 0
055946,000914: 12,2516           00001                                    0D                                    
055947,000915: 12,2517           21574                                    0          -5,1                       
055948,000916: 12,2520           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
055949,000917: 12,2521           72405                           DMP      SL1                                   
055950,000918: 12,2522           00043                                    KEPC1                                 
055951,000919: 12,2523           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
055952,000920: 12,2524           45565                                    TPMODE                                #                                PL AT 0,3
055953,000921: 12,2525           53605                           DMP      SRR*                                  
055954,000922: 12,2526           00033                                    S(XI)                                 
055955,000923: 12,2527           21574                                    0          -5,1                       
055956,000924: 12,2530           72405                           DMP      SL1                                   
055957,000925: 12,2531           00045                                    KEPC2                                 
055958,000926: 12,2532           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
055959,000927: 12,2533           45565                                    TPMODE                                
055960,000928: 12,2534           00041                                    R1                                    
055961,000929: 12,2535           76261                           SR       TAD                                   #                                PL AT 3
055962,000930: 12,2536           20607                                    6                                     
055963,000931: 12,2537           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
055964,000932: 12,2540           00047                                    X1                                    
055965,000933: 12,2541           00025                                    X                                     
055966,000934: 12,2542           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
055967,000935: 12,2543           20576                                    0          -3,1                       
055968,000936: 12,2544           57232                           SL4R     DMPR                                  
055969,000937: 12,2545           00023                                    1/ROOTMU                              
055970,000938: 12,2546           00037                           STORE    T                                     
055971,000939: 12,2547           77616                           RVQ                                            
055972,000940: 

Page 1285

055974,000942: 12,2550           71214        ITERATOR           BONCLR   DLOAD                                 
055975,000943: 12,2551           00614                                    SLOPESW                               
055976,000944: 12,2552           24620                                    FIRSTIME                              
055977,000945: 12,2553           00037                                    DEP                                   
055978,000946: 12,2554           60225                           DSU      NORM                                  
055979,000947: 12,2555           02764                                    DEPREV                                
055980,000948: 12,2556           00047                                    X1                                    
055981,000949: 12,2557           60325                           PDDL     NORM                                  
055982,000950: 12,2560           00015                                    DELINDEP                              
055983,000951: 12,2561           00050                                    X2                                    
055984,000952: 12,2562           41260                           XSU,1    DMP                                   
055985,000953: 12,2563           00047                                    X2                                    
055986,000954: 12,2564           02762                                    DELDEP                                
055987,000955: 12,2565           56257                           SLR*     DDV                                   #                                PL UP 2
055988,000956: 12,2566           21202                                    1,1                                   
055989,000957: 12,2567           43142                           SR1      BOFF                                  
055990,000958: 12,2570           04351                                    ORDERSW                               
055991,000959: 12,2571           24574                                    SGNCHECK                              
055992,000960: 12,2572           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
055993,000961: 12,2573           02762                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
055994,000962: 
055995,000963: 12,2574           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
055996,000964: 12,2575           24632                                    POSDEL                                
055997,000965: 12,2576           43145                           DLOAD    BON                                   
055998,000966: 12,2577           03775                                    INDEP                                 
055999,000967: 12,2600           04311                                    ORDERSW                               
056000,000968: 12,2601           24603                                    MINCHECK                              
056001,000969: 12,2602           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
056002,000970: 
056003,000971: 12,2603           45221        MINCHECK           BDSU     DSU                                   
056004,000972: 12,2604           00011                                    MIN                                   
056005,000973: 12,2605           51000                           BOV      BPL                                   
056006,000974: 12,2606           24612                                    MODNGDEL                              
056007,000975: 12,2607           24612                                    MODNGDEL                              
056008,000976: 12,2610           77650                           GOTO                                           
056009,000977: 12,2611           24644                                    DELOK                                 
056010,000978: 
056011,000979: 12,2612           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
056012,000980: 12,2613           00011                                    MIN                                   
056013,000981: 12,2614           03775                                    INDEP                                 
056014,000982: 12,2615           52005                           DMP      GOTO                                  
056015,000983: 12,2616           11624                                    DP9/10                                
056016,000984: 12,2617           24646                                    NEWDEL                                
056017,000985: 
056018,000986: 12,2620           41345        FIRSTIME           DLOAD    DMP                                   
056019,000987: 12,2621           00011                                    MIN                                   
056020,000988: 12,2622           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
056021,000989: 12,2623           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1286

056023,000991: 12,2624           00017                                    MAX                                   
056024,000992: 12,2625           00051                                    TWEEKIT                               
056025,000993: 12,2626           77625                           DSU                                            
056026,000994: 12,2627           52165                           SIGN     GOTO                                  
056027,000995: 12,2630           02762                                    DELDEP                                
056028,000996: 12,2631           24574                                    SGNCHECK                              
056029,000997: 
056030,000998: 12,2632           43145        POSDEL             DLOAD    BON                                   
056031,000999: 12,2633           03775                                    INDEP                                 
056032,001000: 12,2634           04311                                    ORDERSW                               
056033,001001: 12,2635           24637                                    MAXCHECK                              
056034,001002: 12,2636           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
056035,001003: 
056036,001004: 12,2637           45221        MAXCHECK           BDSU     DSU                                   
056037,001005: 12,2640           00017                                    MAX                                   
056038,001006: 12,2641           50000                           BOV      BMN                                   
056039,001007: 12,2642           24650                                    MODPSDEL                              
056040,001008: 12,2643           24650                                    MODPSDEL                              
056041,001009: 12,2644           77745        DELOK              DLOAD                                          
056042,001010: 12,2645           00001                                    0D                                    
056043,001011: 12,2646           00015        NEWDEL             STORE    DELINDEP                              
056044,001012: 12,2647           77616                           RVQ                                            
056045,001013: 
056046,001014: 12,2650           45345        MODPSDEL           DLOAD    DSU                                   
056047,001015: 12,2651           00017                                    MAX                                   
056048,001016: 12,2652           03775                                    INDEP                                 
056049,001017: 12,2653           52005                           DMP      GOTO                                  
056050,001018: 12,2654           11624                                    DP9/10                                
056051,001019: 12,2655           24646                                    NEWDEL                                
056052,001020: 
056053,001021: 12,2656           45017        CHECKCTR           CS       ONE                                   
056054,001022: 12,2657           50120                           INDEX    FIXLOC                                
056055,001023: 12,2660           60026                           AD       ITERCTR                               
056056,001024: 12,2661           50120                           INDEX    FIXLOC                                
056057,001025: 12,2662           54026                           TS       ITERCTR                               
056058,001026: 12,2663           54154                           TS       MPAC                                  
056059,001027: 12,2664           06030                           TC       DANZIG                                
056060,001028: 

Page 1287

056062,001030: 12,2665           44545        NEWSTATE           DLOAD    SR4R                                  
056063,001031: 12,2666           00041                                    R1                                    
056064,001032: 12,2667           74225                           DSU      VXSC                                  
056065,001033: 12,2670           00035                                    XSQC(XI)                              
056066,001034: 12,2671           02724                                    UR1                                   
056067,001035: 12,2672           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
056068,001036: 12,2673           00025                                    X                                     
056069,001037: 12,2674           60316                           DSQ      NORM                                  
056070,001038: 12,2675           00047                                    X1                                    
056071,001039: 12,2676           57275                           DMPR     DMPR                                  
056072,001040: 12,2677           00023                                    1/ROOTMU                              
056073,001041: 12,2700           00025                                    X                                     
056074,001042: 12,2701           53605                           DMP      SRR*                                  
056075,001043: 12,2702           00033                                    S(XI)                                 
056076,001044: 12,2703           21572                                    0          -7,1                       
056077,001045: 12,2704           77621                           BDSU                                           
056078,001046: 12,2705           00037                                    T                                     
056079,001047: 12,2706           74352                           SL1      VXSC                                  
056080,001048: 12,2707           02746                                    VVEC                                  
056081,001049: 12,2710           53372                           VSL1     VAD                                   #                                PL AT 0
056082,001050: 12,2711           41512                           VSL4     PUSH                                  
056083,001051: 12,2712           77646                           ABVAL                                          
056084,001052: 12,2713           77701        LAMENTER           NORM                                           
056085,001053: 12,2714           00047                                    X1                                    
056086,001054: 12,2715           16722                           STODL    R2                                    
056087,001055: 12,2716           00031                                    XI                                    
056088,001056: 12,2717           45205                           DMP      DSU                                   
056089,001057: 12,2720           00033                                    S(XI)                                 
056090,001058: 12,2721           11606                                    D1/128                                
056091,001059: 12,2722           76405                           DMP      SL1R                                  
056092,001060: 12,2723           00021                                    ROOTMU                                
056093,001061: 12,2724           53605                           DMP      SLR*                                  
056094,001062: 12,2725           00025                                    X                                     
056095,001063: 12,2726           21176                                    0          -3,1                       
056096,001064: 12,2727           74271                           DDV      VXSC                                  
056097,001065: 12,2730           02722                                    R2                                    
056098,001066: 12,2731           02724                                    UR1                                   
056099,001067: 12,2732           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
056100,001068: 12,2733           00035                                    XSQC(XI)                              
056101,001069: 12,2734           56257                           SLR*     DDV                                   
056102,001070: 12,2735           21175                                    0          -4,1                       
056103,001071: 12,2736           02722                                    R2                                    
056104,001072: 12,2737           77621                           BDSU                                           
056105,001073: 12,2740           11622                                    D1/256                                
056106,001074: 12,2741           53361                           VXSC     VAD                                   
056107,001075: 12,2742           02746                                    VVEC                                  #                                PL AT 6
056108,001076: 12,2743           43412                           VSL8     RVQ                                   
056109,001077: 

Page 1288

056111,001079: 04,2000                                           SETLOC   CONICS1                               
056112,001080: 04,2000                                           BANK                                           
056113,001081: 
056114,001082: 04,3602                                           COUNT    04/CONIC                              
056115,001083:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
056116,001084: 04,3602           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
056117,001085: 04,3603           04000 00000  D1/8               2DEC     1.0        B-3                        
056118,001086: 
056119,001087: 04,3605           00200 00000  D1/128             2DEC     1.0        B-7                        
056120,001088: 
056121,001089: 04,3607           00400 00000  D1/64              2DEC     1.0        B-6                        
056122,001090: 
056123,001091: 04,3611           10000 00000  D1/4               2DEC     1.0        B-2                        
056124,001092: 
056125,001093: 04,3613           02000 00000  D1/16              2DEC     1.0        B-4                        
056126,001094: 
056127,001095: 04,3615           01000 00000  D1/32              2DEC     1.0        B-5                        
056128,001096: 
056129,001097: 04,3617           00020 00000  D1/1024            2DEC     1.0        B-10                       
056130,001098: 
056131,001099: 04,3621           00100 00000  D1/256             2DEC     1.0        B-8                        
056132,001100: 
056133,001101: 04,3623           34631 23146  DP9/10             2DEC     .9                                    
056134,001102: 
056135,001103: 04,3625  04,3565               KEPZERO            EQUALS   LO6ZEROS                              
056136,001104: 04,3625           77467 77777  -50SC              2DEC     -50.0      B-12                       
056137,001105: 
056138,001106: 04,3627           03110 17665  2PISC              2DEC     6.28318530 B-6                        
056139,001107: 
056140,001108: 04,3631  04,3614               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
056141,001109: 04,3631  04,3620               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
056142,001110: 04,3631           00000 00001  ONEBIT             2DEC     1.0        B-28                       
056143,001111: 
056144,001112: 04,3633           37767 37737  COGUPLIM           2DEC     .999511597                            
056145,001113: 
056146,001114: 04,3635           40010 40040  COGLOLIM           2DEC     -.999511597                            
056147,001115: 

Page 1289

056149,001117: 12,2000                                           SETLOC   CONICS                                
056150,001118: 12,2000                                           BANK                                           
056151,001119: 
056152,001120: 12,2744                                           COUNT    12/CONIC                              
056153,001121: 
056154,001122: 12,2744           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
056155,001123: 12,2745           02712                                    RTNTT                                 
056156,001124: 12,2746           00001                                    0                                     
056157,001125: 12,2747           77600                           BOV                                            
056158,001126: 12,2750           24751                                    +1                                    
056159,001127: 12,2751           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
056160,001128: 12,2752           02657                                    RVEC                                  
056161,001129: 12,2753           02746                                    VVEC                                  
056162,001130: 12,2754           77624                           CALL                                           
056163,001131: 12,2755           11637                                    PARAM                                 
056164,001132: 12,2756           45000                           BOV      CALL                                  
056165,001133: 12,2757           24776                                    COGAOVFL                              #                                PL AT 0
056166,001134: 12,2760           25001                                    GETX                                  
056167,001135: 12,2761           43145        COMMNOUT           DLOAD    BON                                   
056168,001136: 12,2762           00031                                    XI                                    
056169,001137: 12,2763           04310                                    INFINFLG                              
056170,001138: 12,2764           25751                                    ABTCONIC                              
056171,001139: 12,2765           45014                           CLEAR    CALL                                  
056172,001140: 12,2766           04273                                    COGAFLAG                              
056173,001141: 12,2767           24433                                    DELTIME                               
056174,001142: 12,2770           45014                           BON      CALL                                  
056175,001143: 12,2771           03706                                    RVSW                                  
056176,001144: 12,2772           02712                                    RTNTT                                 
056177,001145: 12,2773           24665                                    NEWSTATE                              
056178,001146: 12,2774           77650                           GOTO                                           
056179,001147: 12,2775           02712                                    RTNTT                                 
056180,001148: 
056181,001149: 12,2776           77614        COGAOVFL           SETGO                                          
056182,001150: 12,2777           04033                                    COGAFLAG                              
056183,001151: 12,3000           25751                                    ABTCONIC                              
056184,001152: 04,3637                                           BANK     4                                     
056185,001153: 04,2000                                           SETLOC   CONICS1                               
056186,001154: 04,2000                                           BANK                                           
056187,001155: 04,3637                                           COUNT*   $$/CONIC                              
056188,001156: 04,3637           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
056189,001157: 04,3640           02755                                    RTNPRM                                
056190,001158: 04,3641           03665                                    NORMSW                                
056191,001159: 04,3642           77614                           CLEAR                                          
056192,001160: 04,3643           04273                                    COGAFLAG                              
056193,001161: 04,3644           45131                           SSP      CALL                                  
056194,001162: 04,3645           02675                                    GEOMSGN                               
056195,001163: 04,3646           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
056196,001164: 04,3647           11702                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
056197,001165: 04,3650           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0

Page 1290

056199,001167: 04,3651           56261                           SR       DDV                                   
056200,001168: 04,3652           20606                                    5                                     
056201,001169: 
056202,001170: 04,3653           00045                                    36D                                   
056203,001171: 04,3654           33775                           STOVL*   COGA                                  
056204,001172: 04,3655           11740                                    MUTABLE,1                             
056205,001173: 04,3656           14017                           STODL    1/MU                                  
056206,001174: 04,3657           02722                                    MAGVEC2                               
056207,001175: 04,3660           60316                           DSQ      NORM                                  
056208,001176: 04,3661           00047                                    X1                                    
056209,001177: 04,3662           41275                           DMPR     DMP                                   
056210,001178: 04,3663           00017                                    1/MU                                  
056211,001179: 04,3664           00041                                    R1                                    
056212,001180: 04,3665           77657                           SRR*                                           
056213,001181: 04,3666           21576                                    0          -3,1                       
056214,001182: 04,3667           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
056215,001183: 04,3670           11616                                    D1/32                                 
056216,001184: 04,3671           16744                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
056217,001185: 
056218,001186: 04,3672           60205                           DMP      NORM                                  
056219,001187: 04,3673           00045                                    36D                                   
056220,001188: 04,3674           00047                                    X1                                    
056221,001189: 04,3675           53605                           DMP      SR*                                   
056222,001190: 04,3676           00045                                    36D                                   
056223,001191: 04,3677           20575                                    0          -4,1                       
056224,001192: 04,3700           36742                           STCALL   P                                     #  P (+4)
056225,001193: 04,3701           02755                                    RTNPRM                                
056226,001194: 

Page 1291

056228,001196: 04,3702           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
056229,001197: 04,3703           16714                           STODL    U2                                    #  U2 (+1)
056230,001198: 04,3704           00045                                    36D                                   
056231,001199: 04,3705           26722                           STOVL    MAGVEC2                               #                                PL AT 0
056232,001200: 04,3706           77656                           UNIT                                           
056233,001201: 04,3707           02724                           STORE    UR1                                   #  UR1 (+1)
056234,001202: 04,3710           72441                           DOT      SL1                                   
056235,001203: 04,3711           02714                                    U2                                    
056236,001204: 04,3712           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
056237,001205: 04,3713           00045                                    36D                                   
056238,001206: 04,3714           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
056239,001207: 04,3715           02724                                    UR1                                   
056240,001208: 04,3716           76435                           VXV      VSL1                                  
056241,001209: 04,3717           02714                                    U2                                    
056242,001210: 04,3720           75214                           BON      SIGN                                  
056243,001211: 04,3721           03705                                    NORMSW                                
056244,001212: 04,3722           11734                                    HAVENORM                              
056245,001213: 04,3723           02675                                    GEOMSGN                               
056246,001214: 04,3724           40056                           UNIT     BOV                                   
056247,001215: 04,3725           11732                                    COLINEAR                              
056248,001216: 04,3726           16676        UNITNORM           STODL    UN                                    #  UN (+1)
056249,001217: 04,3727           00045                                    36D                                   
056250,001218: 04,3730           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
056251,001219: 04,3731           02675                                    GEOMSGN                               
056252,001220: 
056253,001221: 04,3732           52162        COLINEAR           VSR1     GOTO                                  
056254,001222: 04,3733           11726                                    UNITNORM                              
056255,001223: 
056256,001224: 04,3734           75246        HAVENORM           ABVAL    SIGN                                  
056257,001225: 04,3735           02675                                    GEOMSGN                               
056258,001226: 04,3736           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
056259,001227: 

Page 1292

056261,001229: 12,3001                                           BANK     12                                    
056262,001230: 12,2000                                           SETLOC   CONICS                                
056263,001231: 12,2000                                           BANK                                           
056264,001232: 
056265,001233: 12,3001                                           COUNT    12/CONIC                              
056266,001234: 
056267,001235: 12,3001           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
056268,001236: 12,3002           00003                                    3                                     
056269,001237: 12,3003           00052                                    S2                                    
056270,001238: 12,3004           00001                                    1                                     
056271,001239: 12,3005           77614                           CLEAR                                          
056272,001240: 12,3006           04276                                    360SW                                 
056273,001241: 12,3007           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
056274,001242: 12,3010           02734                                    CSTH                                  
056275,001243: 12,3011           44342                           SR1      BDSU                                  
056276,001244: 12,3012           11612                                    D1/4                                  
056277,001245: 12,3013           54325                           PDDL     SRR                                   #                                PL AT 4D
056278,001246: 12,3014           02732                                    SNTH                                  
056279,001247: 12,3015           21607                                    6                                     
056280,001248: 12,3016           77671                           DDV                                            #                                PL AT 2
056281,001249: 12,3017           77600                           BOV                                            
056282,001250: 12,3020           25134                                    360CHECK                              
056283,001251: 12,3021           41225                           DSU      DMP                                   
056284,001252: 12,3022           03775                                    COGA                                  #                                PL AT 0
056285,001253: 12,3023           40132                           SL2R     BOV                                   
056286,001254: 12,3024           25134                                    360CHECK                              
056287,001255: 12,3025           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
056288,001256: 12,3026           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
056289,001257: 12,3027           00155                                    MPAC                                  
056290,001258: 12,3030           02744                                    R1A                                   
056291,001259: 12,3031           76202                           SR4      TAD                                   #                                PL AT 2
056292,001260: 12,3032           75440                           BMN      SQRT                                  
056293,001261: 12,3033           25217                                    INFINITY                              
056294,001262: 12,3034           43306                           ROUND    DAD                                   #                                PL AT 0D
056295,001263: 12,3035           61000                           BOV      TIX,2                                 
056296,001264: 12,3036           25132                                    RESETX2                               
056297,001265: 12,3037           25025                                    WLOOP                                 
056298,001266: 
056299,001267: 12,3040           40065                           BDDV     BOV                                   
056300,001268: 12,3041           11606                                    D1/128                                
056301,001269: 12,3042           25217                                    INFINITY                              
056302,001270: 12,3043           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
056303,001271: 12,3044           25217                                    INFINITY                              
056304,001272: 12,3045           77716                           DSQ                                            
056305,001273: 12,3046           41301                           NORM     DMP                                   
056306,001274: 12,3047           00047                                    X1                                    
056307,001275: 12,3050           02744                                    R1A                                   
056308,001276: 12,3051           77457                           SRR*     EXIT                                  
056309,001277: 12,3052           21567                                    0          -10D,1                     

Page 1293

056311,001279: 12,3053           07171                           TC       POLY                                  
056312,001280: 12,3054           00005                           DEC      5          B-14                       
056313,001281: 12,3055           20000 00000                     2DEC     .5                                    
056314,001282: 
056315,001283: 12,3057           72525 52471                     2DEC     -.166666770                            
056316,001284: 
056317,001285: 12,3061           03146 15003                     2DEC     .100000392                            
056318,001286: 
056319,001287: 12,3063           75556 45210                     2DEC     -.071401086                            
056320,001288: 
056321,001289: 12,3065           01615 13553                     2DEC     .055503292                            
056322,001290: 
056323,001291: 12,3067           76371 63777                     2DEC     -.047264098                            
056324,001292: 
056325,001293: 12,3071           01232 27367                     2DEC     .040694204                            
056326,001294: 
056327,001295: 12,3073           06006                           TC       INTPRET                               
056328,001296: 12,3074           76405                           DMP      SL1R                                  #                                PL AT 0D
056329,001297: 12,3075           43006                           PUSH     BON                                   
056330,001298: 12,3076           04316                                    360SW                                 
056331,001299: 12,3077           25204                                    TRUE360X                              
056332,001300: 12,3100           60316        XCOMMON            DSQ      NORM                                  
056333,001301: 12,3101           00047                                    X1                                    
056334,001302: 12,3102           53605                           DMP      SRR*                                  
056335,001303: 12,3103           02744                                    R1A                                   
056336,001304: 12,3104           21565                                    0          -12D,1                     
056337,001305: 12,3105           14031                           STODL    XI                                    #  XI (+6)
056338,001306: 
056339,001307: 12,3106           00041                                    R1                                    
056340,001308: 12,3107           75542                           SR1      SQRT                                  
056341,001309: 12,3110           41306                           ROUND    DMP                                   
056342,001310: 12,3111           77632                           SL4R                                           #                                PL AT 0
056343,001311: 12,3112           00025                           STORE    X                                     #  X (+17 OR +16)
056344,001312: 
056345,001313: 12,3113           60316                           DSQ      NORM                                  
056346,001314: 12,3114           00047                                    X1                                    
056347,001315: 12,3115           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
056348,001316: 12,3116           02742                                    P                                     
056349,001317: 12,3117           00041                                    R1                                    
056350,001318: 12,3120           75452                           SL3      SQRT                                  
056351,001319: 12,3121           56405                           DMP      SL3R                                  
056352,001320: 12,3122           03775                                    COGA                                  
056353,001321: 12,3123           14043                           STODL    KEPC1                                 
056354,001322: 12,3124           02744                                    R1A                                   
056355,001323: 12,3125           43021                           BDSU     CLEAR                                 
056356,001324: 12,3126           11610                                    D1/64                                 
056357,001325: 12,3127           04270                                    INFINFLG                              
056358,001326: 12,3130           00045                           STORE    KEPC2                                 

Page 1294

056360,001328: 12,3131           77616                           RVQ                                            
056361,001329: 
056362,001330: 12,3132           77774        RESETX2            AXT,2                                          
056363,001331: 12,3133           00003                                    3                                     
056364,001332: 
056365,001333: 12,3134           51001        360CHECK           SETPD    BPL                                   
056366,001334: 12,3135           00001                                    0D                                    
056367,001335: 12,3136           25141                                    INVRSEQN                              
056368,001336: 12,3137           77614                           SET                                            
056369,001337: 12,3140           04076                                    360SW                                 
056370,001338: 
056371,001339: 12,3141           75545        INVRSEQN           DLOAD    SQRT                                  
056372,001340: 12,3142           02742                                    P                                     
056373,001341: 12,3143           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
056374,001342: 12,3144           02732                                    SNTH                                  
056375,001343: 12,3145           03775                                    COGA                                  
056376,001344: 12,3146           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
056377,001345: 12,3147           02734                                    CSTH                                  
056378,001346: 12,3150           43202                           SR4      DAD                                   
056379,001347: 12,3151           11616                                    D1/32                                 
056380,001348: 12,3152           41225                           DSU      DMP                                   #                                PL AT 2,0
056381,001349: 12,3153           55301                           NORM     BDDV                                  
056382,001350: 12,3154           00047                                    X1                                    
056383,001351: 12,3155           02732                                    SNTH                                  
056384,001352: 12,3156           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
056385,001353: 12,3157           21174                                    0          -5,1                       
056386,001354: 12,3160           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
056387,001355: 12,3161           14043                           STODL    34D                                   
056388,001356: 12,3162           11614                                    D1/16                                 
056389,001357: 12,3163           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
056390,001358: 12,3164           65234                           RTB      PDDL                                  #                                PL AT 7
056391,001359: 12,3165           45565                                    TPMODE                                
056392,001360: 12,3166           02744                                    R1A                                   
056393,001361: 12,3167           40405                           DMP      SR4                                   
056394,001362: 12,3170           00043                                    34D                                   
056395,001363: 12,3171           77771                           TAD                                            
056396,001364: 12,3172           75440                           BMN      SQRT                                  #                                PL AT 4
056397,001365: 12,3173           25217                                    INFINITY                              
056398,001366: 12,3174           77615                           DAD                                            #                                PL AT 2
056399,001367: 12,3175           60304                           TIX,2    NORM                                  
056400,001368: 12,3176           25163                                    1/WLOOP                               
056401,001369: 12,3177           00047                                    X1                                    
056402,001370: 12,3200           77665                           BDDV                                           
056403,001371: 12,3201           52057                           SLR*     GOTO                                  #                                PL AT 0
056404,001372: 12,3202           21172                                    0          -7,1                       
056405,001373: 12,3203           25043                                    POLYCOEF                              
056406,001374: 

Page 1295

056408,001376: 12,3204           50145        TRUE360X           DLOAD    BMN                                   
056409,001377: 12,3205           02744                                    R1A                                   
056410,001378: 12,3206           25217                                    INFINITY                              
056411,001379: 12,3207           60366                           SQRT     NORM                                  
056412,001380: 12,3210           00047                                    X1                                    
056413,001381: 12,3211           53665                           BDDV     SL*                                   
056414,001382: 12,3212           11630                                    2PISC                                 
056415,001383: 12,3213           20176                                    0          -3,1                       
056416,001384: 12,3214           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
056417,001385: 12,3215           77650                           GOTO                                           
056418,001386: 12,3216           25100                                    XCOMMON                               
056419,001387: 12,3217           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
056420,001388: 12,3220           00001                                    0                                     #  INFINITY IS REQUIRED
056421,001389: 12,3221           25222                                    OVFLCLR                               
056422,001390: 12,3222           43414        OVFLCLR            SET      RVQ                                   
056423,001391: 12,3223           04070                                    INFINFLG                              
056424,001392: 

Page 1296

056426,001394: 12,3224           40220        LAMBERT            STQ      SETPD                                 
056427,001395: 12,3225           02712                                    RTNLAMB                               
056428,001396: 12,3226           00001                                    0D                                    
056429,001397: 12,3227           77600                           BOV                                            
056430,001398: 12,3230           25231                                    +1                                    
056431,001399: 12,3231           76731                           SSP      VLOAD*                                
056432,001400: 12,3232           00027                                    ITERCTR                               
056433,001401: 12,3233           00024                                    20D                                   
056434,001402: 12,3234           11740                                    MUTABLE,1                             
056435,001403: 12,3235           14017                           STODL    1/MU                                  
056436,001404: 12,3236           02673                                    TDESIRED                              
056437,001405: 12,3237           77675                           DMPR                                           
056438,001406: 12,3240           11615                                    BEE19                                 
056439,001407: 12,3241           03777                           STORE    EPSILONL                              
056440,001408: 12,3242           77214                           SET      VLOAD                                 
056441,001409: 12,3243           00474                                    SLOPESW                               
056442,001410: 12,3244           02657                                    R1VEC                                 
056443,001411: 12,3245           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
056444,001412: 12,3246           02665                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
056445,001413: 12,3247           11702                                    GEOM                                  
056446,001414: 12,3250           16732                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
056447,001415: 12,3251           02722                                    MAGVEC2                               
056448,001416: 12,3252           65301                           NORM     PDDL                                  #                                PL AT 4
056449,001417: 12,3253           00047                                    X1                                    
056450,001418: 12,3254           00041                                    R1                                    
056451,001419: 12,3255           56342                           SR1      DDV                                   #                                PL AT 2
056452,001420: 12,3256           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
056453,001421: 12,3257           20173                                    0          -6,1                       
056454,001422: 12,3260           77626                           STADR                                          
056455,001423: 12,3261           75043                           STORE    CSTH                                  #  CSTH (+1)
056456,001424: 12,3262           44342                           SR1      BDSU                                  
056457,001425: 12,3263           11612                                    D1/4                                  
056458,001426: 12,3264           02736                           STORE    1-CSTH                                #  1-CSTH (+2)
056459,001427: 
056460,001428: 12,3265           53106                           ROUND    BZE                                   
056461,001429: 12,3266           25473                                    360LAMB                               
056462,001430: 12,3267           65301                           NORM     PDDL                                  #                                PL AT 4
056463,001431: 12,3270           00047                                    X1                                    
056464,001432: 12,3271           00001                                    0D                                    
056465,001433: 12,3272           56342                           SR1      DDV                                   #                                PL AT 2
056466,001434: 12,3273           75457                           SL*      SQRT                                  
056467,001435: 12,3274           20176                                    0          -3,1                       
056468,001436: 12,3275           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
056469,001437: 12,3276           02732                                    SNTH                                  
056470,001438: 12,3277           20607                                    6                                     
056471,001439: 12,3300           43271                           DDV      DAD                                   #                                PL AT 2
056472,001440: 12,3301           02736                                    1-CSTH                                
056473,001441: 12,3302           77626                           STADR                                          
056474,001442: 12,3303           77760                           STORE    COGAMAX                               
056475,001443: 12,3304           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM

Page 1297

056477,001445: 12,3305           25312                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE
056478,001446: 12,3306           25315                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
056479,001447: 12,3307           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
056480,001448: 12,3310           11634                                    COGUPLIM                              
056481,001449: 12,3311           25315                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
056482,001450: 12,3312           77745        UPLIM              DLOAD                                          
056483,001451: 12,3313           11634                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
056484,001452: 12,3314           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
056485,001453: 12,3315           77745        MAXCOGA            DLOAD                                          
056486,001454: 12,3316           02734                                    CSTH                                  
056487,001455: 12,3317           45261                           SR       DSU                                   #                                PL AT 0
056488,001456: 12,3320           20607                                    6                                     
056489,001457: 12,3321           77626                           STADR                                          
056490,001458: 12,3322           61037                           STODL    CSTH-RHO                              
056491,001459: 12,3323           02675                                    GEOMSGN                               
056492,001460: 12,3324           71240                           BMN      DLOAD                                 
056493,001461: 12,3325           25512                                    LOLIM                                 
056494,001462: 12,3326           02740                                    CSTH-RHO                              
056495,001463: 12,3327           56352                           SL1      DDV                                   
056496,001464: 12,3330           02732                                    SNTH                                  
056497,001465: 12,3331           77600                           BOV                                            
056498,001466: 12,3332           25512                                    LOLIM                                 
056499,001467: 12,3333           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
056500,001468: 12,3334           66214                           BON      SSP                                   
056501,001469: 12,3335           00715                                    GUESSW                                
056502,001470: 12,3336           25477                                    NOGUESS                               
056503,001471: 12,3337           00051                                    TWEEKIT                               
056504,001472: 12,3340           00001                                    00001                                 
056505,001473: 12,3341           77745                           DLOAD                                          
056506,001474: 12,3342           03775                                    COGA                                  
056507,001475: 
056508,001476: 12,3343           77605        LAMBLOOP           DMP                                            
056509,001477: 12,3344           02732                                    SNTH                                  
056510,001478: 12,3345           45342                           SR1      DSU                                   
056511,001479: 12,3346           02740                                    CSTH-RHO                              
056512,001480: 12,3347           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
056513,001481: 12,3350           00047                                    X1                                    
056514,001482: 12,3351           02736                                    1-CSTH                                
056515,001483: 12,3352           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
056516,001484: 12,3353           20170                                    0          -9D,1                      
056517,001485: 12,3354           53040                           BMN      BZE                                   
056518,001486: 12,3355           25431                                    NEGP                                  
056519,001487: 12,3356           25431                                    NEGP                                  
056520,001488: 12,3357           16742                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
056521,001489: 12,3360           03775                                    COGA                                  
056522,001490: 12,3361           43316                           DSQ      DAD                                   
056523,001491: 12,3362           11620                                    D1/1024                               
056524,001492: 12,3363           41301                           NORM     DMP                                   
056525,001493: 12,3364           00047                                    X1                                    

Page 1298

056527,001495: 12,3365           02742                                    P                                     
056528,001496: 12,3366           44257                           SR*      BDSU                                  
056529,001497: 12,3367           20571                                    0          -8D,1                      
056530,001498: 12,3370           11616                                    D1/32                                 
056531,001499: 12,3371           16744                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
056532,001500: 
056533,001501: 12,3372           02742                                    P                                     
056534,001502: 12,3373           45000                           BOV      CALL                                  
056535,001503: 12,3374           25434                                    HIENERGY                              
056536,001504: 12,3375           25001                                    GETX                                  
056537,001505: 12,3376           77745                           DLOAD                                          
056538,001506: 12,3377           00037                                    T                                     
056539,001507: 12,3400           16764                           STODL    TPREV                                 
056540,001508: 12,3401           00031                                    XI                                    
056541,001509: 12,3402           45014                           BON      CALL                                  
056542,001510: 12,3403           04310                                    INFINFLG                              
056543,001511: 12,3404           25431                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
056544,001512: 12,3405           24433                                    DELTIME                               
056545,001513: 12,3406           44200                           BOV      BDSU                                  
056546,001514: 12,3407           25450                                    BIGTIME                               
056547,001515: 12,3410           02673                                    TDESIRED                              
056548,001516: 12,3411           02762                           STORE    TERRLAMB                              
056549,001517: 12,3412           44246                           ABS      BDSU                                  
056550,001518: 12,3413           03777                                    EPSILONL                              
056551,001519: 12,3414           47044                           BPL      RTB                                   
056552,001520: 12,3415           25515                                    INITV                                 
056553,001521: 12,3416           24656                                    CHECKCTR                              
056554,001522: 12,3417           45030                           BHIZ     CALL                                  
056555,001523: 12,3420           25460                                    SUFFCHEK                              
056556,001524: 12,3421           24550                                    ITERATOR                              
056557,001525: 12,3422           53145                           DLOAD    BZE                                   
056558,001526: 12,3423           00155                                    MPAC                                  
056559,001527: 12,3424           25460                                    SUFFCHEK                              
056560,001528: 12,3425           77615                           DAD                                            
056561,001529: 12,3426           03775                                    COGA                                  
056562,001530: 12,3427           37775                           STCALL   COGA                                  
056563,001531: 12,3430           25343                                    LAMBLOOP                              
056564,001532: 
056565,001533: 12,3431           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
056566,001534: 12,3432           00015                                    DCOGA                                 #  BOUND CALCULATION.  TRY NEW COGA.
056567,001535: 12,3433           25453                                    LOENERGY                              
056568,001536: 
056569,001537: 12,3434           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
056570,001538: 12,3435           00001                                    0                                     
056571,001539: 12,3436           03775                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
056572,001540: 12,3437           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
056573,001541: 12,3440           70545        COMMONLM           DLOAD    SR1                                   
056574,001542: 12,3441           00015                                    DCOGA                                 

Page 1299

056576,001544: 12,3442           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
056577,001545: 12,3443           44254                           BZE      BDSU                                  
056578,001546: 12,3444           25460                                    SUFFCHEK                              
056579,001547: 12,3445           03775                                    COGA                                  
056580,001548: 12,3446           37775                           STCALL   COGA                                  
056581,001549: 12,3447           25343                                    LAMBLOOP                              
056582,001550: 
056583,001551: 12,3450           77745        BIGTIME            DLOAD                                          
056584,001552: 12,3451           02764                                    TPREV                                 
056585,001553: 12,3452           00037                           STORE    T                                     
056586,001554: 
056587,001555: 12,3453           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
056588,001556: 12,3454           00001                                    0                                     
056589,001557: 12,3455           03775                                    COGA                                  #  IN OVERFLOW OF TIME.
056590,001558: 12,3456           34017                           STCALL   COGAMAX                               #  THIS IS THE NEW BOUND.
056591,001559: 12,3457           25440                                    COMMONLM                              
056592,001560: 
056593,001561: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
056594,001562: 12,3461           02762                                    TERRLAMB                              
056595,001563: 12,3462           41325                           PDDL     DMP                                   
056596,001564: 12,3463           02673                                    TDESIRED                              #                                PL AT 2D
056597,001565: 12,3464           11612                                    D1/4                                  
056598,001566: 12,3465           45215                           DAD      DSU                                   #                                PL AT 0D
056599,001567: 12,3466           11632                                    ONEBIT                                
056600,001568: 12,3467           43044                           BPL      SETGO                                 
056601,001569: 12,3470           25515                                    INITV                                 
056602,001570: 12,3471           02434                                    SOLNSW                                
056603,001571: 12,3472           02712                                    RTNLAMB                               
056604,001572: 
056605,001573: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
056606,001574: 12,3474           00001                                    0                                     
056607,001575: 12,3475           02434                                    SOLNSW                                
056608,001576: 12,3476           02712                                    RTNLAMB                               
056609,001577: 
056610,001578: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
056611,001579: 12,3500           00051                                    TWEEKIT                               
056612,001580: 12,3501           10000                                    20000                                 
056613,001581: 12,3502           00011                                    COGAMIN                               
056614,001582: 12,3503           65342                           SR1      PDDL                                  #                                PL AT 2
056615,001583: 12,3504           00017                                    COGAMAX                               
056616,001584: 12,3505           43342                           SR1      DAD                                   
056617,001585: 12,3506           77626                           STADR                                          #                                PL AT 0
056618,001586: 12,3507           74002                           STORE    COGA                                  
056619,001587: 12,3510           34015                           STCALL   DCOGA                                 
056620,001588: 12,3511           25343                                    LAMBLOOP                              

Page 1300

056622,001590: 12,3512           52145        LOLIM              DLOAD    GOTO                                  
056623,001591: 12,3513           11636                                    COGLOLIM                              #  COGLOLIM=-.999511597
056624,001592: 12,3514           25333                                    MINCOGA                               
056625,001593: 
056626,001594: 12,3515           60345        INITV              DLOAD    NORM                                  
056627,001595: 12,3516           00041                                    R1                                    
056628,001596: 12,3517           00047                                    X1                                    
056629,001597: 12,3520           70525                           PDDL     SR1                                   #                                PL AT 2
056630,001598: 12,3521           02742                                    P                                     
056631,001599: 12,3522           77671                           DDV                                            #                                PL AT 0
056632,001600: 12,3523           75457                           SL*      SQRT                                  
056633,001601: 12,3524           20175                                    0          -4,1                       
056634,001602: 12,3525           72405                           DMP      SL1                                   
056635,001603: 12,3526           00021                                    ROOTMU                                
056636,001604: 12,3527           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
056637,001605: 12,3530           03775                                    COGA                                  
056638,001606: 12,3531           74261                           SL       VXSC                                  
056639,001607: 12,3532           20206                                    5                                     
056640,001608: 12,3533           02724                                    UR1                                   
056641,001609: 12,3534           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
056642,001610: 12,3535           76561                           VXSC     VSL1                                  
056643,001611: 12,3536           02676                                    UN                                    
056644,001612: 12,3537           53235                           VXV      VAD                                   
056645,001613: 12,3540           02724                                    UR1                                   #                                PL AT 0
056646,001614: 12,3541           43172                           VSL1     CLEAR                                 
056647,001615: 12,3542           02674                                    SOLNSW                                
056648,001616: 12,3543           02746                           STORE    VVEC                                  
056649,001617: 12,3544           53135                           SLOAD    BZE                                   
056650,001618: 12,3545           02704                                    VTARGTAG                              
056651,001619: 12,3546           25551                                    TARGETV                               
056652,001620: 12,3547           77650                           GOTO                                           
056653,001621: 12,3550           02712                                    RTNLAMB                               
056654,001622: 
056655,001623: 12,3551           45145        TARGETV            DLOAD    CALL                                  
056656,001624: 12,3552           02722                                    MAGVEC2                               
056657,001625: 12,3553           24713                                    LAMENTER                              
056658,001626: 12,3554           36705                           STCALL   VTARGET                               
056659,001627: 12,3555           02712                                    RTNLAMB                               
056660,001628: 

Page 1301

056662,001630: 12,3556           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
056663,001631: 12,3557           02712                                    RTNTR                                 
056664,001632: 12,3560           00001                                    0                                     
056665,001633: 12,3561           77600                           BOV                                            
056666,001634: 12,3562           25563                                    +1                                    
056667,001635: 12,3563           63375                           VLOAD    PDVL                                  #                                PL AT 6
056668,001636: 12,3564           02657                                    RVEC                                  
056669,001637: 12,3565           02746                                    VVEC                                  
056670,001638: 12,3566           77624                           CALL                                           
056671,001639: 12,3567           11637                                    PARAM                                 
056672,001640: 12,3570           71200                           BOV      DLOAD                                 
056673,001641: 12,3571           24776                                    COGAOVFL                              #                                PL AT 0
056674,001642: 12,3572           11616                                    D1/32                                 
056675,001643: 12,3573           41225                           DSU      DMP                                   
056676,001644: 12,3574           02744                                    R1A                                   
056677,001645: 12,3575           02742                                    P                                     
056678,001646: 12,3576           41366                           SQRT     DMP                                   
056679,001647: 12,3577           03775                                    COGA                                  
056680,001648: 12,3600           74212                           SL4      VXSC                                  
056681,001649: 12,3601           02714                                    U2                                    
056682,001650: 12,3602           45325                           PDDL     DSU                                   #                                PL AT 6
056683,001651: 12,3603           11610                                    D1/64                                 
056684,001652: 12,3604           02744                                    R1A                                   
056685,001653: 12,3605           52361                           VXSC     VSU                                   #                                PL AT 0
056686,001654: 12,3606           02724                                    UR1                                   
056687,001655: 12,3607           53512                           VSL4     UNIT                                  
056688,001656: 12,3610           77600                           BOV                                            
056689,001657: 12,3611           25667                                    CIRCULAR                              
056690,001658: 12,3612           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
056691,001659: 12,3613           02760                                    RDESIRED                              #  36D=ECC (+3)
056692,001660: 12,3614           00047                                    X1                                    
056693,001661: 12,3615           41325                           PDDL     DMP                                   #                                PL AT 8
056694,001662: 12,3616           00041                                    R1                                    
056695,001663: 12,3617           02742                                    P                                     
056696,001664: 12,3620           56257                           SL*      DDV                                   #                                PL AT 6
056697,001665: 12,3621           20201                                    0,1                                   
056698,001666: 12,3622           56225                           DSU      DDV                                   
056699,001667: 12,3623           11614                                    D1/16                                 
056700,001668: 12,3624           00045                                    36D                                   #  36D=ECC (+3)
056701,001669: 12,3625           00031                           STORE    COSF                                  
056702,001670: 12,3626           63400                           BOV      DSQ                                   
056703,001671: 12,3627           25673                                    BADR2                                 
056704,001672: 12,3630           50021                           BDSU     BMN                                   
056705,001673: 12,3631           11612                                    D1/4                                  
056706,001674: 12,3632           25673                                    BADR2                                 
056707,001675: 12,3633           75366                           SQRT     SIGN                                  
056708,001676: 12,3634           02757                                    SGNRDOT                               
056709,001677: 12,3635           77614                           CLEAR                                          
056710,001678: 12,3636           04272                                    APSESW                                
056711,001679: 

Page 1302

056713,001681: 12,3637           76561        TERMNVEC           VXSC     VSL1                                  
056714,001682: 12,3640           02676                                    UN                                    
056715,001683: 12,3641           63235                           VXV      PDVL                                  #  VXCH WITH 0D          PL AT 0,6
056716,001684: 12,3642           00001                                    0D                                    
056717,001685: 12,3643           53361                           VXSC     VAD                                   #                        PL AT 0
056718,001686: 12,3644           00031                                    COSF                                  
056719,001687: 12,3645           41572                           VSL1     PUSH                                  #  0D=U2                 PL AT 6
056720,001688: 
056721,001689: 12,3646           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
056722,001690: 12,3647           02724                                    UR1                                   
056723,001691: 12,3650           23756                                    DP1/4                                 
056724,001692: 12,3651           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
056725,001693: 12,3652           25653                                    +1                                    #  CLEAR OVFIND IF SET
056726,001694: 12,3653           26734                           STOVL    CSTH                                  #  CSTH (+1)
056727,001695: 12,3654           02724                                    UR1                                   
056728,001696: 12,3655           76435                           VXV      VSL1                                  
056729,001697: 12,3656           72441                           DOT      SL1                                   
056730,001698: 12,3657           02676                                    UN                                    
056731,001699: 12,3660           16732                           STODL    SNTH                                  #  SNTH (+1)
056732,001700: 12,3661           02742                                    P                                     
056733,001701: 12,3662           77624                           CALL                                           
056734,001702: 12,3663           25001                                    GETX                                  
056735,001703: 12,3664           77614                           CLRGO                                          
056736,001704: 12,3665           02634                                    SOLNSW                                
056737,001705: 12,3666           24761                                    COMMNOUT                              
056738,001706: 
056739,001707: 12,3667           43001        CIRCULAR           SETPD    SETGO                                 
056740,001708: 12,3670           00001                                    0                                     
056741,001709: 12,3671           02434                                    SOLNSW                                
056742,001710: 12,3672           25751                                    ABTCONIC                              
056743,001711: 
056744,001712: 12,3673           75345        BADR2              DLOAD    SIGN                                  
056745,001713: 12,3674           11564                                    LODPHALF                              
056746,001714: 12,3675           00031                                    COSF                                  
056747,001715: 12,3676           14031                           STODL    COSF                                  
056748,001716: 12,3677           11566                                    KEPZERO                               
056749,001717: 12,3700           77614                           SETGO                                          
056750,001718: 12,3701           04032                                    APSESW                                
056751,001719: 12,3702           25637                                    TERMNVEC                              
056752,001720: 

Page 1303

056754,001722: 12,3703           40220        APSIDES            STQ      SETPD                                 #                        PL AT 0
056755,001723: 12,3704           02712                                    RTNAPSE                               
056756,001724: 12,3705           00001                                    0D                                    
056757,001725: 12,3706           77600                           BOV                                            
056758,001726: 12,3707           25710                                    +1                                    
056759,001727: 12,3710           63375                           VLOAD    PDVL                                  #                        PL AT 6
056760,001728: 12,3711           02657                                    RVEC                                  
056761,001729: 12,3712           02746                                    VVEC                                  
056762,001730: 12,3713           77624                           CALL                                           
056763,001731: 12,3714           11637                                    PARAM                                 
056764,001732: 12,3715           77600                           BOV                                            #                        PL AT 0
056765,001733: 12,3716           25717                                    GETECC                                
056766,001734: 12,3717           42405        GETECC             DMP      SL4                                   
056767,001735: 12,3720           02744                                    R1A                                   
056768,001736: 12,3721           75421                           BDSU     SQRT                                  
056769,001737: 12,3722           11610                                    D1/64                                 
056770,001738: 12,3723           02754                           STORE    ECC                                   
056771,001739: 12,3724           65215                           DAD      PDDL                                  #                        PL AT 2
056772,001740: 12,3725           11604                                    D1/8                                  
056773,001741: 12,3726           00041                                    R1                                    
056774,001742: 12,3727           72405                           DMP      SL1                                   
056775,001743: 12,3730           02742                                    P                                     
056776,001744: 12,3731           77671                           DDV                                            #                        PL AT 0
056777,001745: 12,3732           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)    PL AT 2
056778,001746: 12,3733           02744                                    R1A                                   
056779,001747: 12,3734           00047                                    X1                                    
056780,001748: 12,3735           53725                           PDDL     SL*                                   #                        PL AT 4
056781,001749: 12,3736           00041                                    R1                                    
056782,001750: 12,3737           20174                                    0          -5,1                       
056783,001751: 12,3740           45271                           DDV      DSU                                   #                        PL AT 2,0
056784,001752: 12,3741           50000                           BOV      BMN                                   
056785,001753: 12,3742           25746                                    INFINAPO                              
056786,001754: 12,3743           25746                                    INFINAPO                              
056787,001755: 12,3744           77650                           GOTO                                           
056788,001756: 12,3745           02712                                    RTNAPSE                               
056789,001757: 12,3746           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
056790,001758: 12,3747           11577                                    LDPOSMAX                              
056791,001759: 12,3750           02712                                    RTNAPSE                               #  THAT PL IS AT 0.
056792,001760: 

Page 1304

056794,001762: 12,3751           77776        ABTCONIC           EXIT                                           
056795,001763: 12,3752           05721                           TC       POODOO                                
056796,001764: 12,3753           00607                           OCT      00607                                 
056797,001765: 

Page 1305

056799,001767: 04,2000                                           SETLOC   CONICS1                               
056800,001768: 04,2000                                           BANK                                           
056801,001769: 
056802,001770: 04,3737                                           COUNT    04/CONIC                              
056803,001771: 
056804,001772: 04,3737           22437 16067  MUTABLE            2DEC*    3.986032   E10        B-36*           #  MUE
056805,001773: 
056806,001774: 04,3741           15625 21042                     2DEC*    .25087606  E-10       B+34*           #  1/MUE
056807,001775: 
056808,001776: 04,3743           30276 04773                     2DEC*    1.99650495 E5         B-18*           #  SQRT(MUE)
056809,001777: 
056810,001778: 04,3745           25004 06702                     2DEC*    .50087529  E-5        B+17*           #  1/SQRT(MUE)
056811,001779: 
056812,001780: 04,3747           16471 01352                     2DEC     4.902778   E8         B-30            #  MUM
056813,001781: 
056814,001782: 04,3751           21412 20500                     2DEC     .203966    E-8        B+28            #  1/MUM
056815,001783: 
056816,001784: 04,3753           25477 03367                     2DEC*    2.21422176 E4         B-15*           #  SQRT(MUM)
056817,001785: 
056818,001786: 04,3755           27533 07571                     2DEC*    .45162595  E-4        B+14*           #  1/SQRT(MUM)
056819,001787: 
056820,001788: 04,3757  04,3576               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
056821,001789: 
056822,001790:                                                                                                  #  ERASABLE ASSIGNMENTS
056823,001791: 
056824,001792:                                                                                                  #  KEPLER SUBROUTINE
056825,001793: 
056826,001794:                                                                                                  #  INPUT -
056827,001795:                                                                                                  #  RRECT         ERASE   +5
056828,001796:                                                                                                  #  VRECT         ERASE   +5
056829,001797:                                                                                                  #  TAU.          ERASE   +1
056830,001798:                                                                                                  #  XKEP          ERASE   +1
056831,001799:                                                                                                  #  TC            ERASE   +1
056832,001800:                                                                                                  #  XPREV         ERASE   +1
056833,001801: 04,3757                        1/MU               EQUALS   14D                                   
056834,001802: 04,3757                        ROOTMU             EQUALS   16D                                   
056835,001803: 04,3757                        1/ROOTMU           EQUALS   18D                                   
056836,001804: 
056837,001805:                                                                                                  #  OUTPUT -
056838,001806:                                                                                                  #  RCV           ERASE   +5
056839,001807:                                                                                                  #  VCV           ERASE   +5
056840,001808:                                                                                                  #  RC            ERASE   +1
056841,001809:                                                                                                  #  XPREV         ERASE   +1
056842,001810: 
056843,001811:                                                                                                  #  DEBRIS -
056844,001812: 04,3757                        ALPHA              EQUALS   8D                                    
056845,001813: 04,3757                        XMAX               EQUALS   10D                                   

Page 1306

056847,001815: 04,3757                        XMIN               EQUALS   12D                                   
056848,001816: 04,3757                        X                  EQUALS   20D                                   
056849,001817: 04,3757                        XI                 EQUALS   24D                                   
056850,001818: 04,3757                        S(XI)              EQUALS   26D                                   
056851,001819: 04,3757                        XSQC(XI)           EQUALS   28D                                   
056852,001820: 04,3757                        T                  EQUALS   30D                                   
056853,001821: 04,3757                        R1                 EQUALS   32D                                   
056854,001822: 04,3757                        KEPC1              EQUALS   34D                                   
056855,001823: 04,3757                        KEPC2              EQUALS   36D                                   
056856,001824: 
056857,001825:                                                                                                  #  DELX          ERASE   +1
056858,001826:                                                                                                  #  DELT          ERASE   +1
056859,001827:                                                                                                  #  URRECT        ERASE   +5
056860,001828:                                                                                                  #  RCNORM        ERASE   +1
056861,001829:                                                                                                  #  XPREV         EQUALS  XKEP
056862,001830: 
056863,001831: 
056864,001832:                                                                                                  #  LAMBERT SUBROUTINE
056865,001833: 
056866,001834:                                                                                                  #  INPUT -
056867,001835:                                                                                                  #  R1VEC         ERASE   +5
056868,001836:                                                                                                  #  R2VEC         ERASE   +5
056869,001837:                                                                                                  #  TDESIRED      ERASE   +1
056870,001838:                                                                                                  #  GEOMSGN       ERASE   +0
056871,001839:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT
056872,001840:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
056873,001841:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
056874,001842:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
056875,001843:                                                                                                  #  VTARGTAG      ERASE   +0
056876,001844:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
056877,001845: 
056878,001846:                                                                                                  #  OUTPUT -
056879,001847:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
056880,001848:                                                                                                  #  V1VEC         EQUALS  MPAC
056881,001849: 
056882,001850:                                                                                                  #  DEBRIS -
056883,001851:                                                                                                  #  RTNLAMB       ERASE   +0
056884,001852:                                                                                                  #  U2            ERASE   +5
056885,001853:                                                                                                  #  MAGVEC2       ERASE   +1
056886,001854:                                                                                                  #  UR1           ERASE   +5
056887,001855:                                                                                                  #  R1            EQUALS  31D
056888,001856:                                                                                                  #  UN            ERASE   +5
056889,001857:                                                                                                  #  SNTH          ERASE   +1
056890,001858:                                                                                                  #  CSTH          ERASE   +1
056891,001859:                                                                                                  #  1-CSTH        ERASE   +1
056892,001860:                                                                                                  #  CSTH-RHO      ERASE   +1
056893,001861: 
056894,001862: 04,3757                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
056895,001863: 04,3757                        COGAMIN            EQUALS   8D                                    
056896,001864: 04,3757                        DCOGA              EQUALS   12D                                   
056897,001865: 
056898,001866:                                                                                                  #  TWEEKIT       EQUALS  40D
056899,001867:                                                                                                  #  P             ERASE   +1

Page 1307

056901,001869:                                                                                                  #  COGA          ERASE   +1
056902,001870:                                                                                                  #  R1A           ERASE   +1
056903,001871:                                                                                                  #  X             EQUALS  20D
056904,001872:                                                                                                  #  XSQ           EQUALS  22D
056905,001873:                                                                                                  #  XI            EQUALS  24D
056906,001874:                                                                                                  #  S(XI)         EQUALS  26D
056907,001875:                                                                                                  #  XSQC(XI)      EQUALS  28D
056908,001876:                                                                                                  #  T             EQUALS  30D
056909,001877:                                                                                                  #  KEPC1         EQUALS  34D
056910,001878:                                                                                                  #  KEPC2         EQUALS  36D
056911,001879:                                                                                                  #  SLOPESW
056912,001880:                                                                                                  #  SOLNSW
056913,001881: 
056914,001882:                                                                                                  #  OTHERS -
056915,001883:                                                                                                  #  RVEC          EQUALS  R1VEC
056916,001884:                                                                                                  #  VVEC          ERASE   +5
056917,001885:                                                                                                  #  COGAFLAG
056918,001886:                                                                                                  #  RVSW
056919,001887:                                                                                                  #  INFINFLG
056920,001888:                                                                                                  #  APSESW
056921,001889:                                                                                                  #  360SW
056922,001890:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
056923,001891:                                                                                                  #  ECC           ERASE   +1
056924,001892:                                                                                                  #  RTNTR         EQUALS  RTNLAMB
056925,001893:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
056926,001894:                                                                                                  #  R2            EQUALS  MAGVEC2
056927,001895: 
056928,001896: 04,3757                        COSF               EQUALS   24D                                   
056929,001897: 
056930,001898:                                                                                                  #  RTNPRM        ERASE   +0
056931,001899:                                                                                                  #  SGNRDOT       ERASE   +0
056932,001900:                                                                                                  #  RDESIRED      ERASE   +1
056933,001901: 
056934,001902: 
056935,001903:                                                                                                  #  ITERATOR SUBROUTINE
056936,001904: 
056937,001905:                                                                                                  #  ORDERSW
056938,001906: 04,3757                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
056939,001907: 04,3757                        MIN                EQUALS   8D                                    
056940,001908: 
056941,001909:                                                                                                  #  INDEP         ERASE   +1
056942,001910: 
056943,001911: 04,3757                        DELINDEP           EQUALS   12D                                   
056944,001912: 04,3757                        ITERCTR            EQUALS   22D                                   
056945,001913: 04,3757                        DEP                EQUALS   30D                                   
056946,001914: 
056947,001915:                                                                                                  #  DELDEP        ERASE   +1
056948,001916:                                                                                                  #  DEPREV        ERASE   +1
056949,001917: 
056950,001918: 04,3757                        TWEEKIT            EQUALS   40D                                   
056951,001919: 
056952,001920: 
056953,001921:                                                                                                  #  MORE KEPLER
056954,001922: 
056955,001923:                                                                                                  #  EPSILONT      ERASE   +1
056956,001924: 

Page 1308

056958,001926:                                                                                                  #  MORE LAMBERT
056959,001927: 
056960,001928:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
056961,001929:                                                                                                  #  TPREV         EQUALS  DEPREV
056962,001930: 
056963,001931:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD
056964,001932: 
056965,001933: 

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