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.

055017,000002:                                                                                                  ## Copyright:   Public domain.
055018,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
055019,000004:                                                                                                  ## Purpose:     Part of the source code for Colossus 2A, AKA Comanche 055.
055020,000005:                                                                                                  ##              It is part of the source code for the Command Module's (CM)
055021,000006:                                                                                                  ##              Apollo Guidance Computer (AGC), for Apollo 11.
055022,000007:                                                                                                  ## Assembler:   yaYUL
055023,000008:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
055024,000009:                                                                                                  ## Website:     www.ibiblio.org/apollo.
055025,000010:                                                                                                  ## Pages:       1262-1308
055026,000011:                                                                                                  ## Mod history: 2009-05-08 RSB  Adapted from the Colossus249/ file of the
055027,000012:                                                                                                  ##                              same name, using Comanche055 page images.
055028,000013:                                                                                                  ##              2009-05-20 RSB  Corrected:  Fixed four interpreter 
055029,000014:                                                                                                  ##                              instructions.
055030,000015:                                                                                                  ##              2016-12-22 RSB  Proofed comment text using octopus/ProoferComments
055031,000016:                                                                                                  ##                              and corrected the errors found.
055032,000017:                                                                                                  ##              2017-01-07 RSB  Fixed comment errors detected in cross-diff vs
055033,000018:                                                                                                  ##                              Colossus 249.
055034,000019:                                                                                                  ##              2017-01-21 RSB  Comment-text error fixes detected in diff'ing
055035,000020:                                                                                                  ##                              vs Artemis 72.
055036,000021:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH and WHCIH -> WHICH.
055037,000022:                                                                                                  ##              2017-03-14 RSB  Comment-text fixes noted in proofing Luminary 116.
055038,000023:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
055039,000024:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
055040,000025: 
055041,000026:                                                                                                  ## This source code has been transcribed or otherwise adapted from digitized
055042,000027:                                                                                                  ## images of a hardcopy from the MIT Museum.  The digitization was performed
055043,000028:                                                                                                  ## by Paul Fjeld, and arranged for by Deborah Douglas of the Museum.  Many
055044,000029:                                                                                                  ## thanks to both.  The images (with suitable reduction in storage size and
055045,000030:                                                                                                  ## consequent reduction in image quality as well) are available online at
055046,000031:                                                                                                  ## www.ibiblio.org/apollo.  If for some reason you find that the images are
055047,000032:                                                                                                  ## illegible, contact me at info@sandroid.org about getting access to the 
055048,000033:                                                                                                  ## (much) higher-quality images which Paul actually created.
055049,000034:                                                                                                  ##
055050,000035:                                                                                                  ## Notations on the hardcopy document read, in part:
055051,000036:                                                                                                  ##
055052,000037:                                                                                                  ##      Assemble revision 055 of AGC program Comanche by NASA
055053,000038:                                                                                                  ##      2021113-051.  10:28 APR. 1, 1969  
055054,000039:                                                                                                  ##
055055,000040:                                                                                                  ##      This AGC program shall also be referred to as
055056,000041:                                                                                                  ##                      Colossus 2A
055057,000042: 

Page 1262

055059,000044:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
055060,000045:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
055061,000046:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
055062,000047: 
055063,000048:                                                                                                  #  FUNCTIONAL DESCRIPTION -
055064,000049:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
055065,000050:                                                                                                  #        INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
055066,000051:                                                                                                  #        5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
055067,000052:                                                                                                  #        RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
055068,000053:                                                                                                  #        INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
055069,000054:                                                                                                  #        EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
055070,000055:                                                                                                  #        THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
055071,000056:                                                                                                  #        DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
055072,000057:                                                                                                  #        TINES APPROPRIATELY.
055073,000058: 
055074,000059:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
055075,000060:                                                                                                  #        BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
055076,000061:                                                                                                  #        DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
055077,000062: 
055078,000063:                                                                                                  #  RESTRICTIONS -
055079,000064:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
055080,000065:                                                                                                  #        LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
055081,000066:                                                                                                  #        TORIES COULD BE HANDLED.
055082,000067: 
055083,000068:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
055084,000069:                                                                                                  #        THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
055085,000070:                                                                                                  #        TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
055086,000071: 

Page 1263

055088,000073:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
055089,000074:                                                                                                  #  MOD NO. - 1                                                   LOG SECTION - CONIC SUBROUTINES
055090,000075:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
055091,000076:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
055092,000077:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON: SUPPRESSION OF X-MODULO-ING
055093,000078:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON: CLEAR OVFIND AT KEPLER ENTRY
055094,000079: 
055095,000080:                                                                                                  #  FUNCTIONAL DESCRIPTION -
055096,000081:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
055097,000082:                                                                                                  #        BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
055098,000083:                                                                                                  #        SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON. THE
055099,000084:                                                                                                  #        USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
055100,000085:                                                                                                  #        INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
055101,000086:                                                                                                  #        TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
055102,000087: 
055103,000088:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
055104,000089:                                                                                                  #        EXTRAPOLATING THE POSITION BACKWARD IN TIME.
055105,000090: 
055106,000091:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A 
055107,000092:                                                                                                  #        MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
055108,000093: 
055109,000094:                                                                                                  #  THE RESTRICTIONS ARE -
055110,000095:                                                                                                  #        1.      (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
055111,000096:                                                                                                  #        2.      THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
055112,000097:                                                                                                  #                ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
055113,000098: 
055114,000099:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
055115,000100:                                                                                                  #        GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
055116,000101:                                                                                                  #        FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
055117,000102: 
055118,000103:                                                                                                  #  REFERENCES -
055119,000104:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
055120,000105:                                                                                                  #        MEMO 67-4.
055121,000106: 
055122,000107:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
055123,000108:                                                                                                  #                * SCALE FACTOR *
055124,000109:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055125,000110:                                                                                                  #        --------*--------------*                         -----------------------
055126,000111:                                                                                                  #        RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
055127,000112:                                                                                                  #                * +27 FOR MOON *

Page 1264

055129,000114:                                                                                                  #        VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
055130,000115:                                                                                                  #                * +5 FOR MOON  *
055131,000116:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
055132,000117:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
055133,000118:                                                                                                  #        TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
055134,000119:                                                                                                  #                *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
055135,000120:                                                                                                  #        XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS).SIGN SHOULD AGREE WITH THAT OF TAU.
055136,000121:                                                                                                  #                * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
055137,000122:                                                                                                  #                *              *    MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
055138,000123:                                                                                                  #                *              *    BY KEPLER TO A POOR BUT VALID GUESS.
055139,000124:                                                                                                  #        TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS. MUST BE LESS THAN ONE ORBITAL PERIOD.
055140,000125:                                                                                                  #        XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
055141,000126:                                                                                                  #                * +16 FOR MOON *    ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
055142,000127: 
055143,000128:                                                                                                  #  SUBROUTINES CALLED -
055144,000129:                                                                                                  #        DELTIME
055145,000130: 
055146,000131:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
055147,000132:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055148,000133:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC.  PL IS AT 0.
055149,000134:                                                                                                  #        KEPRTN          ...                     CONTINUE
055150,000135: 
055151,000136:                                                                                                  #        KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
055152,000137:                                                                                                  #        THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
055153,000138:                                                                                                  #        ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
055154,000139: 
055155,000140:                                                                                                  #  ABORT EXIT MODES -
055156,000141:                                                                                                  #        NONE
055157,000142: 
055158,000143:                                                                                                  #  OUTPUT -
055159,000144:                                                                                                  #                * SCALE FACTOR *
055160,000145:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055161,000146:                                                                                                  #        --------*--------------*                         -----------------------
055162,000147:                                                                                                  #        RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
055163,000148:                                                                                                  #                * +27 FOR MOON *
055164,000149:                                                                                                  #        VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
055165,000150:                                                                                                  #                * +5 FOR MOON  *
055166,000151:                                                                                                  #        TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED.  ALWAYS LESS THAN ONE PERIOD.
055167,000152:                                                                                                  #        XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
055168,000153:                                                                                                  #                * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1265

055170,000155:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
055171,000156: 
055172,000157:                                                                                                  #  DEBRIS -
055173,000158:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
055174,000159:                                                                                                  #                * SCALE FACTOR *
055175,000160:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055176,000161:                                                                                                  #        --------*--------------*                         -----------------------
055177,000162:                                                                                                  #        URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
055178,000163:                                                                                                  #        R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
055179,000164:                                                                                                  #                * +27 FOR MOON *
055180,000165:                                                                                                  #        ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
055181,000166:                                                                                                  #                * -20 FOR MOON *
055182,000167:                                                                                                  #        TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
055183,000168:                                                                                                  #                *              *TAU. OF LESS THAN ONE PERIOD.
055184,000169: 
055185,000170:                                                                                                  #  PARAMETERS OF NO USE -
055186,000171:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
055187,000172: 

Page 1266

055189,000174:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
055190,000175:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
055191,000176:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
055192,000177: 
055193,000178:                                                                                                  #  FUNCTIONAL DESCRIPTION -
055194,000179:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
055195,000180:                                                                                                  #        FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
055196,000181:                                                                                                  #        A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
055197,000182:                                                                                                  #        SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
055198,000183:                                                                                                  #        CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
055199,000184:                                                                                                  #        UTILIZED IN THE COMPUTATION.
055200,000185: 
055201,000186:                                                                                                  #  THE RESTRICTIONS ARE -
055202,000187:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
055203,000188:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
055204,000189:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
055205,000190:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
055206,000191:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
055207,000192:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
055208,000193:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
055209,000194: 
055210,000195:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
055211,000196:                                                                                                  #        GUESS OF THE INDEPENDENT VARIABLE, COGA.                           THE AGC COMPUTATION TIME IS APPROXIMATE-
055212,000197:                                                                                                  #        LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
055213,000198: 
055214,000199:                                                                                                  #  REFERENCES -
055215,000200:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
055216,000201:                                                                                                  #        SGA MEMO 67-4.
055217,000202: 
055218,000203:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
055219,000204:                                                                                                  #                * SCALE FACTOR *
055220,000205:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055221,000206:                                                                                                  #        --------*--------------*                         -----------------------
055222,000207:                                                                                                  #        R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
055223,000208:                                                                                                  #                * +27 FOR MOON *
055224,000209:                                                                                                  #        R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
055225,000210:                                                                                                  #                * +27 FOR MOON *
055226,000211:                                                                                                  #        TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
055227,000212:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
055228,000213:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
055229,000214:                                                                                                  #        GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
055230,000215:                                                                                                  #        GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1267

055232,000217:                                                                                                  #                *              *COGA IS TO BE USED BY LAMBERT
055233,000218:                                                                                                  #        COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
055234,000219:                                                                                                  #                               *IGNORED IF GUESSW IS SET.
055235,000220:                                                                                                  #        NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
055236,000221:                                                                                                  #                *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
055237,000222:                                                                                                  #        UN      * +1           *DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
055238,000223:                                                                                                  #                *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
055239,000224:                                                                                                  #        VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
055240,000225:                                                                                                  #                *              *AT R1VEC.
055241,000226: 
055242,000227:                                                                                                  #  SUBROUTINES CALLED -
055243,000228:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
055244,000229: 
055245,000230:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
055246,000231:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055247,000232:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
055248,000233:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
055249,000234:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
055250,000235:                                                                                                  #        L+3             SOLNSW
055251,000236:                                                                                                  #        L+4             LAMABORT
055252,000237: 
055253,000238:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
055254,000239:                                                                                                  #        GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
055255,000240: 
055256,000241:                                                                                                  #  ABORT EXIT MODES -
055257,000242:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
055258,000243:                                                                                                  #        WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
055259,000244:                                                                                                  #        ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
055260,000245:                                                                                                  #        LAMABORT        DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
055261,000246:                                                                                                  #                                1-CSTH          360 DEGREES.
055262,000247:                                                                                                  #                        DSU     BMN
055263,000248:                                                                                                  #                                ONEBIT
055264,000249:                                                                                                  #                                CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
055265,000250:                                                                                                  #                        DLOAD   DAD
055266,000251:                                                                                                  #                                TDESIRED
055267,000252:                                                                                                  #                                SOMETIME
055268,000253:                                                                                                  #                        STCALL  TDESIRED        INCREASE TDESIRED
055269,000254:                                                                                                  #                                LAMBERT
055270,000255: 
055271,000256:                                                                                                  #  OUTPUT -
055272,000257:                                                                                                  #                * SCALE FACTOR *
055273,000258:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS

Page 1268

055275,000260:                                                                                                  #        --------*--------------*                         -----------------------
055276,000261:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
055277,000262:                                                                                                  #                * +5 FOR MOON  *PROBLEM.
055278,000263:                                                                                                  #        VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
055279,000264:                                                                                                  #                * +5 FOR MOON  *
055280,000265:                                                                                                  #        SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
055281,000266:                                                                                                  #                *              *SOLUTION EXISTS.
055282,000267: 
055283,000268:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
055284,000269: 
055285,000270:                                                                                                  #  DEBRIS -
055286,000271:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
055287,000272:                                                                                                  #                * SCALE FACTOR *
055288,000273:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055289,000274:                                                                                                  #        --------*--------------*                         -----------------------
055290,000275:                                                                                                  #        SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
055291,000276:                                                                                                  #        CSTH    * +1           *DP COSINE OF ANGLE
055292,000277:                                                                                                  #        1-CSTH  * +2           *DP 1-CSTH
055293,000278:                                                                                                  #        COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
055294,000279:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
055295,000280:                                                                                                  #        R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
055296,000281:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
055297,000282:                                                                                                  #                * +27 FOR MOON *
055298,000283:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF R1VEC
055299,000284:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF R2VEC
055300,000285: 
055301,000286:                                                                                                  #        PARAMETERS OF NO USE
055302,000287:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
055303,000288:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
055304,000289: 

Page 1269

055306,000291:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
055307,000292:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
055308,000293:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
055309,000294: 
055310,000295:                                                                                                  #  FUNCTIONAL DESCRIPTION -
055311,000296:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
055312,000297:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
055313,000298:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
055314,000299:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
055315,000300:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
055316,000301:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
055317,000302: 
055318,000303:                                                                                                  #  THE RESTRICTIONS ARE -
055319,000304:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
055320,000305:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
055321,000306:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
055322,000307:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
055323,000308: 
055324,000309:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
055325,000310: 
055326,000311:                                                                                                  #  REFERENCES -
055327,000312:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
055328,000313: 
055329,000314:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
055330,000315:                                                                                                  #                * SCALE FACTOR *
055331,000316:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055332,000317:                                                                                                  #        --------*--------------*                         -----------------------
055333,000318:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
055334,000319:                                                                                                  #                * +27 FOR MOON *
055335,000320:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
055336,000321:                                                                                                  #                * +5 FOR MOON  *
055337,000322:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
055338,000323:                                                                                                  #        CSTH    * +1           *DP COSINE OF THE ANGLE
055339,000324:                                                                                                  #        RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
055340,000325:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
055341,000326:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
055342,000327:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
055343,000328: 
055344,000329:                                                                                                  #  SUBROUTINES CALLED -

Page 1270

055346,000331:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
055347,000332: 
055348,000333:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
055349,000334:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
055350,000335:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055351,000336:                                                                                                  #        L+1             RVSW
055352,000337:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
055353,000338:                                                                                                  #        L+3     ...                     CONTINUE
055354,000339: 
055355,000340:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
055356,000341:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055357,000342:                                                                                                  #        L+1             RVSW
055358,000343:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
055359,000344:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
055360,000345:                                                                                                  #        L+3     STOVL   NEWVVEC
055361,000346:                                                                                                  #        L+4     STADR
055362,000347:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
055363,000348:                                                                                                  #        L+6     ...                     CONTINUE
055364,000349: 
055365,000350:                                                                                                  #  ABORT EXIT MODES -
055366,000351:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
055367,000352:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
055368,000353: 
055369,000354:                                                                                                  #  OUTPUT -
055370,000355:                                                                                                  #                * SCALE FACTOR *
055371,000356:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055372,000357:                                                                                                  #        --------*--------------*                         -----------------------
055373,000358:                                                                                                  #        T(30D)  * +28          *DP TRANSFER TIME IN CENTISECONDS
055374,000359:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
055375,000360:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
055376,000361:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
055377,000362:                                                                                                  #                *              *CLEAR IF NOT.
055378,000363: 
055379,000364:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
055380,000365:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
055381,000366:                                                                                                  #         MPAC +5* +5 FOR MOON  *
055382,000367:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
055383,000368:                                                                                                  #                * +27 FOR MOON *
055384,000369: 
055385,000370:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.

Page 1271

055387,000372: 
055388,000373:                                                                                                  #  DEBRIS -
055389,000374:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
055390,000375:                                                                                                  #                * SCALE FACTOR *
055391,000376:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055392,000377:                                                                                                  #        --------*--------------*                         -----------------------
055393,000378:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
055394,000379:                                                                                                  #                * +27 FOR MOON *
055395,000380:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
055396,000381:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
055397,000382:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
055398,000383:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
055399,000384:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
055400,000385:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
055401,000386: 
055402,000387:                                                                                                  #  PARAMETERS OF NO USE -
055403,000388:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
055404,000389:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
055405,000390: 

Page 1272

055407,000392:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
055408,000393:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
055409,000394:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
055410,000395: 
055411,000396:                                                                                                  #  FUNCTIONAL DESCRIPTION -
055412,000397:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
055413,000398:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
055414,000399:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
055415,000400:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
055416,000401:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
055417,000402:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
055418,000403: 
055419,000404:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
055420,000405:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
055421,000406: 
055422,000407:                                                                                                  #  THE RESTRICTIONS ARE -
055423,000408:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
055424,000409:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
055425,000410:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
055426,000411:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
055427,000412:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
055428,000413:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
055429,000414:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
055430,000415: 
055431,000416:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
055432,000417: 
055433,000418:                                                                                                  #  REFERENCES -
055434,000419:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
055435,000420: 
055436,000421:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
055437,000422:                                                                                                  #                * SCALE FACTOR *
055438,000423:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055439,000424:                                                                                                  #        --------*--------------*                         -----------------------
055440,000425:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
055441,000426:                                                                                                  #                * +27 FOR MOON *
055442,000427:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
055443,000428:                                                                                                  #                * +5 FOR MOON  *
055444,000429:                                                                                                  #        RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
055445,000430:                                                                                                  #                * +27 FOR MOON *COMPUTED.
055446,000431:                                                                                                  #        SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
055447,000432:                                                                                                  #                *              *POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1273

055449,000434:                                                                                                  #                *              *SINGLE-VALUED PROBLEM.
055450,000435:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
055451,000436:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
055452,000437:                                                                                                  #        RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
055453,000438:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
055454,000439: 
055455,000440:                                                                                                  #  SUBROUTINES CALLED -
055456,000441:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
055457,000442: 
055458,000443:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
055459,000444:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
055460,000445:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055461,000446:                                                                                                  #        L+1             RVSW
055462,000447:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
055463,000448:                                                                                                  #        L+3     ...                     CONTINUE
055464,000449: 
055465,000450:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
055466,000451:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055467,000452:                                                                                                  #        L+1             RVSW
055468,000453:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
055469,000454:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
055470,000455:                                                                                                  #        L+3     STOVL   NEWVVEC
055471,000456:                                                                                                  #        L+4     STADR
055472,000457:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
055473,000458:                                                                                                  #        L+6     ...                     CONTINUE
055474,000459: 
055475,000460:                                                                                                  #  ABORT EXIT MODES -
055476,000461:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
055477,000462:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 & 721)
055478,000463: 
055479,000464:                                                                                                  #  OUTPUT -
055480,000465:                                                                                                  #                * SCALE FACTOR *
055481,000466:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055482,000467:                                                                                                  #        --------*--------------*                         -----------------------
055483,000468:                                                                                                  #        T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
055484,000469:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
055485,000470:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
055486,000471:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
055487,000472:                                                                                                  #                *              *CLEAR IF NOT.
055488,000473:                                                                                                  #        APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1274

055490,000475:                                                                                                  #                *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
055491,000476:                                                                                                  #                *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
055492,000477:                                                                                                  #                *              *APOCENTER.
055493,000478:                                                                                                  #        SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
055494,000479:                                                                                                  #                               *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
055495,000480:                                                                                                  #                               *MINUS-18, THE SWITCH IS CLEAR.
055496,000481: 
055497,000482:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
055498,000483:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
055499,000484:                                                                                                  #         MPAC +5* +5 FOR MOON  *
055500,000485:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
055501,000486:                                                                                                  #                * +27 FOR MOON *
055502,000487: 
055503,000488:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
055504,000489: 
055505,000490:                                                                                                  #  DEBRIS -
055506,000491:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
055507,000492:                                                                                                  #                * SCALE FACTOR *
055508,000493:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055509,000494:                                                                                                  #        --------*--------------*                         -----------------------
055510,000495:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
055511,000496:                                                                                                  #                * +27 FOR MOON *
055512,000497:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
055513,000498:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
055514,000499:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
055515,000500:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
055516,000501:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
055517,000502:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
055518,000503:                                                                                                  #        CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
055519,000504:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
055520,000505: 
055521,000506:                                                                                                  #        PARAMETERS OF NO USE -
055522,000507:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
055523,000508:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
055524,000509: 
055525,000510: 

Page 1275

055527,000512:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
055528,000513:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
055529,000514:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
055530,000515: 
055531,000516:                                                                                                  #  FUNCTIONAL DESCRIPTION -
055532,000517:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
055533,000518:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
055534,000519:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
055535,000520:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
055536,000521:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
055537,000522: 
055538,000523:                                                                                                  #  THE RESTRICTIONS ARE -
055539,000524:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
055540,000525:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
055541,000526:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
055542,000527:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
055543,000528: 
055544,000529:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
055545,000530: 
055546,000531:                                                                                                  #  REFERENCES -
055547,000532:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
055548,000533: 
055549,000534:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
055550,000535:                                                                                                  #                * SCALE FACTOR *
055551,000536:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055552,000537:                                                                                                  #        --------*--------------*                         -----------------------
055553,000538:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
055554,000539:                                                                                                  #                * +27 FOR MOON *
055555,000540:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
055556,000541:                                                                                                  #                * +5 FOR MOON  *
055557,000542:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
055558,000543:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
055559,000544: 
055560,000545:                                                                                                  #  SUBROUTINES CALLED -
055561,000546:                                                                                                  #        PARAM, GEOM
055562,000547: 
055563,000548:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1276

055565,000550:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
055566,000551:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
055567,000552:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
055568,000553:                                                                                                  #        L+2     STODL   APOAPSE
055569,000554:                                                                                                  #        L+3             0D
055570,000555:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
055571,000556:                                                                                                  #        L+5     ...                     CONTINUE
055572,000557: 
055573,000558:                                                                                                  #  OUTPUT -
055574,000559:                                                                                                  #                * SCALE FACTOR *
055575,000560:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055576,000561:                                                                                                  #        --------*--------------*                         -----------------------
055577,000562:                                                                                                  #        MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
055578,000563:                                                                                                  #                * +27 FOR MOON *
055579,000564:                                                                                                  #        0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
055580,000565:                                                                                                  #                * +27 FOR MOON *
055581,000566:                                                                                                  #        ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
055582,000567: 
055583,000568:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
055584,000569: 
055585,000570:                                                                                                  #  DEBRIS -
055586,000571:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
055587,000572:                                                                                                  #                * SCALE FACTOR *
055588,000573:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
055589,000574:                                                                                                  #        --------*--------------*                         -----------------------
055590,000575:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
055591,000576:                                                                                                  #                * +27 FOR MOON *
055592,000577:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
055593,000578:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
055594,000579:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
055595,000580:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
055596,000581:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
055597,000582:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
055598,000583:                                                                                                  #        MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
055599,000584:                                                                                                  #                * +5 FOR MOON  *
055600,000585: 
055601,000586:                                                                                                  #        PARAMETERS OF NO USE -
055602,000587:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
055603,000588:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
055604,000589: 
055605,000590: 12,2000                                           SETLOC   CONICS                                

Page 1277

055607,000592: 12,2000                                           BANK                                           
055608,000593: 
055609,000594: 12,2042                                           COUNT    12/CONIC                              
055610,000595: 
055611,000596: 12,2042  E5,1723                                  EBANK=   UR1                                   
055612,000597: 12,2042           40001        KEPLERN            SETPD    BOV                                   
055613,000598: 12,2043           00001                                    0                                     
055614,000599: 12,2044           24045                                    +1                                    
055615,000600: 12,2045           77773                           VLOAD*                                         
055616,000601: 12,2046           11740                                    MUTABLE,1                             
055617,000602: 12,2047           24017                           STOVL    14D                                   
055618,000603: 12,2050           01503                                    RRECT                                 
055619,000604: 12,2051           66256                           UNIT     SSP                                   
055620,000605: 12,2052           00027                                    ITERCTR                               
055621,000606: 12,2053           00024                                    20D                                   
055622,000607: 12,2054           16647                           STODL    URRECT                                
055623,000608: 12,2055           00045                                    36D                                   
055624,000609: 12,2056           24041                           STOVL    R1                                    
055625,000610: 12,2057           01503                                    RRECT                                 
055626,000611: 12,2060           76441                           DOT      SL1R                                  
055627,000612: 12,2061           01511                                    VRECT                                 
055628,000613: 12,2062           76405                           DMP      SL1R                                  
055629,000614: 12,2063           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
055630,000615: 12,2064           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
055631,000616: 
055632,000617: 12,2065           01511                                    VRECT                                 
055633,000618: 12,2066           57236                           VSQ      DMPR                                  
055634,000619: 12,2067           00017                                    1/MU                                  #  1/MU (-34 OR -28)
055635,000620: 12,2070           52405                           DMP      SL3                                   
055636,000621: 12,2071           00041                                    R1                                    
055637,000622: 12,2072           61425                           DSU      ROUND                                 
055638,000623: 12,2073           11610                                    D1/64                                 
055639,000624: 12,2074           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
055640,000625: 
055641,000626: 12,2075           74421                           BDSU     SR1R                                  
055642,000627: 12,2076           11610                                    D1/64                                 
055643,000628: 12,2077           77671                           DDV                                            
055644,000629: 12,2100           00041                                    R1                                    
055645,000630: 12,2101           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
055646,000631: 
055647,000632: 12,2102           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
055648,000633: 12,2103           24112                                    1REV                                  
055649,000634: 12,2104           11626                                    -50SC                                 #  -50SC (+12)
055650,000635: 12,2105           40071                           DDV      BOV                                   
055651,000636: 12,2106           00011                                    ALPHA                                 
055652,000637: 12,2107           24116                                    STOREMAX                              
055653,000638: 12,2110           52166                           SQRT     GOTO                                  
055654,000639: 12,2111           24116                                    STOREMAX                              

Page 1278

055656,000641: 12,2112           55366        1REV               SQRT     BDDV                                  
055657,000642: 12,2113           11630                                    2PISC                                 #  2PISC (+6)
055658,000643: 12,2114           77600                           BOV                                            
055659,000644: 12,2115           24116                                    STOREMAX                              
055660,000645: 12,2116           00013        STOREMAX           STORE    XMAX                                  
055661,000646: 12,2117           65205                           DMP      PDDL                                  
055662,000647: 12,2120           00023                                    1/ROOTMU                              
055663,000648: 12,2121           00011                                    ALPHA                                 
055664,000649: 12,2122           65301                           NORM     PDDL                                  
055665,000650: 12,2123           00047                                    X1                                    
055666,000651: 12,2124           56257                           SL*      DDV                                   
055667,000652: 12,2125           20173                                    0          -6,1                       
055668,000653: 12,2126           50000                           BOV      BMN                                   
055669,000654: 12,2127           24143                                    MODDONE                               
055670,000655: 12,2130           24143                                    MODDONE                               #  MPAC=PERIOD
055671,000656: 12,2131           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
055672,000657: 12,2132           02312                                    TAU.                                  
055673,000658: 12,2133           50025                           DSU      BMN                                   
055674,000659: 12,2134           00001                                    0D                                    
055675,000660: 12,2135           24143                                    MODDONE                               
055676,000661: 12,2136           77765                           SIGN                                           
055677,000662: 12,2137           02312                                    TAU.                                  
055678,000663: 12,2140           16312                           STODL    TAU.                                  
055679,000664: 12,2141           77650                           GOTO                                           
055680,000665: 12,2142           24131                                    PERIODCH                              
055681,000666: 12,2143           71201        MODDONE            SETPD    DLOAD                                 
055682,000667: 12,2144           00001                                    0                                     
055683,000668: 12,2145           02306                                    XKEPNEW                               
055684,000669: 12,2146           00025                           STORE    X                                     
055685,000670: 12,2147           53165                           SIGN     BZE                                   
055686,000671: 12,2150           02312                                    TAU.                                  
055687,000672: 12,2151           24320                                    BADX                                  
055688,000673: 12,2152           51440                           BMN      ABS                                   
055689,000674: 12,2153           24320                                    BADX                                  
055690,000675: 12,2154           51025                           DSU      BPL                                   
055691,000676: 12,2155           00013                                    XMAX                                  
055692,000677: 12,2156           24320                                    BADX                                  
055693,000678: 12,2157           51145        STORBNDS           DLOAD    BPL                                   
055694,000679: 12,2160           02312                                    TAU.                                  
055695,000680: 12,2161           24170                                    STOREMIN                              
055696,000681: 12,2162           57545                           DLOAD    DCOMP                                 
055697,000682: 12,2163           00013                                    XMAX                                  
055698,000683: 12,2164           14015                           STODL    XMIN                                  
055699,000684: 12,2165           11566                                    KEPZERO                               
055700,000685: 12,2166           34013                           STCALL   XMAX                                  
055701,000686: 12,2167           24173                                    DXCOMP                                
055702,000687: 12,2170           77745        STOREMIN           DLOAD                                          
055703,000688: 12,2171           11566                                    KEPZERO                               
055704,000689: 12,2172           00015                           STORE    XMIN                                  
055705,000690: 12,2173           57345        DXCOMP             DLOAD    DMPR                                  

Page 1279

055707,000692: 12,2174           02312                                    TAU.                                  
055708,000693: 12,2175           11621                                    BEE22                                 
055709,000694: 12,2176           77646                           ABS                                            
055710,000695: 12,2177           15350                           STODL    EPSILONT                              
055711,000696: 12,2200           01553                                    XPREV                                 
055712,000697: 12,2201           77621        XDIFF              BDSU                                           
055713,000698: 12,2202           00025                                    X                                     
055714,000699: 12,2203           02643                           STORE    DELX                                  
055715,000700: 
055716,000701: 12,2204           63545        KEPLOOP            DLOAD    DSQ                                   
055717,000702: 12,2205           00025                                    X                                     #  X=XKEP
055718,000703: 12,2206           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
055719,000704: 12,2207           00047                                    X1                                    
055720,000705: 12,2210           53605                           DMP      SRR*                                  
055721,000706: 12,2211           00011                                    ALPHA                                 
055722,000707: 12,2212           21573                                    0          -6,1                       
055723,000708: 12,2213           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
055724,000709: 12,2214           24433                                    DELTIME                               
055725,000710: 12,2215           44200                           BOV      BDSU                                  
055726,000711: 12,2216           24326                                    TIMEOVFL                              #  UNLIKELY
055727,000712: 12,2217           02312                                    TAU.                                  
055728,000713: 12,2220           02645                           STORE    DELT                                  #  DELT=DELINDEP
055729,000714: 12,2221           44246                           ABS      BDSU                                  
055730,000715: 12,2222           01350                                    EPSILONT                              
055731,000716: 12,2223           71244                           BPL      DLOAD                                 
055732,000717: 12,2224           24346                                    KEPCONVG                              
055733,000718: 12,2225           00037                                    T                                     
055734,000719: 12,2226           60225                           DSU      NORM                                  
055735,000720: 12,2227           01551                                    TC                                    
055736,000721: 12,2230           00047                                    X1                                    
055737,000722: 12,2231           60325                           PDDL     NORM                                  
055738,000723: 12,2232           02643                                    DELX                                  
055739,000724: 12,2233           00050                                    X2                                    
055740,000725: 12,2234           41260                           XSU,1    DMP                                   
055741,000726: 12,2235           00047                                    X2                                    
055742,000727: 12,2236           02645                                    DELT                                  
055743,000728: 12,2237           56257                           SLR*     DDV                                   
055744,000729: 12,2240           21202                                    1,1                                   
055745,000730: 12,2241           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
055746,000731: 12,2242           71244                           BPL      DLOAD                                 
055747,000732: 12,2243           24264                                    POSDELX                               
055748,000733: 12,2244           00025                                    X                                     
055749,000734: 12,2245           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
055750,000735: 12,2246           45221                           BDSU     DSU                                   #                        PL AT 0
055751,000736: 12,2247           00015                                    XMIN                                  
055752,000737: 12,2250           51000                           BOV      BPL                                   
055753,000738: 12,2251           24256                                    NDXCHNGE                              
055754,000739: 12,2252           24256                                    NDXCHNGE                              
055755,000740: 12,2253           52145                           DLOAD    GOTO                                  

Page 1280

055757,000742: 12,2254           00001                                    0D                                    
055758,000743: 12,2255           24276                                    NEWDELX                               
055759,000744: 
055760,000745: 12,2256           45345        NDXCHNGE           DLOAD    DSU                                   
055761,000746: 12,2257           00015                                    XMIN                                  
055762,000747: 12,2260           00025                                    X                                     
055763,000748: 12,2261           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
055764,000749: 12,2262           11624                                    DP9/10                                
055765,000750: 12,2263           24276                                    NEWDELX                               
055766,000751: 
055767,000752: 12,2264           77745        POSDELX            DLOAD                                          
055768,000753: 12,2265           00025                                    X                                     
055769,000754: 12,2266           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
055770,000755: 12,2267           45221                           BDSU     DSU                                   #                        PL AT 0
055771,000756: 12,2270           00013                                    XMAX                                  
055772,000757: 12,2271           50000                           BOV      BMN                                   
055773,000758: 12,2272           24312                                    PDXCHNGE                              
055774,000759: 12,2273           24312                                    PDXCHNGE                              
055775,000760: 12,2274           77745                           DLOAD                                          
055776,000761: 12,2275           00001                                    0D                                    
055777,000762: 12,2276           02643        NEWDELX            STORE    DELX                                  
055778,000763: 12,2277           43254                           BZE      DAD                                   
055779,000764: 12,2300           24346                                    KEPCONVG                              
055780,000765: 12,2301           00025                                    X                                     
055781,000766: 12,2302           14025                           STODL    X                                     
055782,000767: 12,2303           00037                                    T                                     
055783,000768: 12,2304           01551                           STORE    TC                                    
055784,000769: 12,2305           46034        BRNCHCTR           RTB      BHIZ                                  
055785,000770: 12,2306           24656                                    CHECKCTR                              
055786,000771: 12,2307           24346                                    KEPCONVG                              
055787,000772: 12,2310           77650                           GOTO                                           
055788,000773: 12,2311           24204                                    KEPLOOP                               #  ITERATE
055789,000774: 
055790,000775: 12,2312           45345        PDXCHNGE           DLOAD    DSU                                   
055791,000776: 12,2313           00013                                    XMAX                                  
055792,000777: 12,2314           00025                                    X                                     
055793,000778: 12,2315           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
055794,000779: 12,2316           11624                                    DP9/10                                
055795,000780: 12,2317           24276                                    NEWDELX                               
055796,000781: 
055797,000782: 12,2320           70545        BADX               DLOAD    SR1                                   
055798,000783: 12,2321           00013                                    XMAX                                  
055799,000784: 12,2322           77765                           SIGN                                           
055800,000785: 12,2323           02312                                    TAU.                                  
055801,000786: 12,2324           34025                           STCALL   X                                     
055802,000787: 12,2325           24157                                    STORBNDS                              

Page 1281

055804,000789: 12,2326           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
055805,000790: 12,2327           00025                                    X                                     
055806,000791: 12,2330           24344                                    NEGTOVFL                              
055807,000792: 12,2331           00013                           STORE    XMAX                                  
055808,000793: 12,2332           70545        CMNTOVFL           DLOAD    SR1                                   
055809,000794: 12,2333           02643                                    DELX                                  
055810,000795: 12,2334           02643                           STORE    DELX                                  
055811,000796: 12,2335           44254                           BZE      BDSU                                  
055812,000797: 12,2336           02270                                    KEPRTN                                
055813,000798: 12,2337           00025                                    X                                     
055814,000799: 12,2340           14025                           STODL    X                                     
055815,000800: 12,2341           01551                                    TC                                    
055816,000801: 12,2342           34037                           STCALL   T                                     
055817,000802: 12,2343           24305                                    BRNCHCTR                              
055818,000803: 12,2344           34015        NEGTOVFL           STCALL   XMIN                                  
055819,000804: 12,2345           24332                                    CMNTOVFL                              
055820,000805: 12,2346           44545        KEPCONVG           DLOAD    SR4R                                  
055821,000806: 12,2347           00041                                    R1                                    
055822,000807: 12,2350           74225                           DSU      VXSC                                  
055823,000808: 12,2351           00035                                    XSQC(XI)                              
055824,000809: 12,2352           02647                                    URRECT                                
055825,000810: 12,2353           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
055826,000811: 12,2354           00025                                    X                                     
055827,000812: 12,2355           60316                           DSQ      NORM                                  
055828,000813: 12,2356           00047                                    X1                                    
055829,000814: 12,2357           57275                           DMPR     DMPR                                  
055830,000815: 12,2360           00023                                    1/ROOTMU                              
055831,000816: 12,2361           00025                                    X                                     
055832,000817: 12,2362           53605                           DMP      SRR*                                  
055833,000818: 12,2363           00033                                    S(XI)                                 
055834,000819: 12,2364           21572                                    0          -7,1                       
055835,000820: 12,2365           77621                           BDSU                                           
055836,000821: 12,2366           00037                                    T                                     
055837,000822: 12,2367           74352                           SL1      VXSC                                  
055838,000823: 12,2370           01511                                    VRECT                                 
055839,000824: 12,2371           53372                           VSL1     VAD                                   #                                PL AT 0
055840,000825: 12,2372           77712                           VSL4                                           
055841,000826: 12,2373           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
055842,000827: 
055843,000828: 12,2374           60246                           ABVAL    NORM                                  
055844,000829: 12,2375           00050                                    X2                                    
055845,000830: 12,2376           16655                           STODL    RCNORM                                
055846,000831: 12,2377           00031                                    XI                                    
055847,000832: 12,2400           45275                           DMPR     DSU                                   
055848,000833: 12,2401           00033                                    S(XI)                                 
055849,000834: 12,2402           11606                                    D1/128                                
055850,000835: 12,2403           76405                           DMP      SL1R                                  
055851,000836: 12,2404           00021                                    ROOTMU                                
055852,000837: 12,2405           53605                           DMP      SLR*                                  

Page 1282

055854,000839: 12,2406           00025                                    X                                     
055855,000840: 12,2407           56601                                    0          -3,2                       
055856,000841: 12,2410           74271                           DDV      VXSC                                  
055857,000842: 12,2411           02655                                    RCNORM                                
055858,000843: 12,2412           02647                                    URRECT                                
055859,000844: 12,2413           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
055860,000845: 12,2414           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
055861,000846: 12,2415           56257                           SLR*     DDV                                   
055862,000847: 12,2416           56602                                    0          -4,2                       
055863,000848: 12,2417           02655                                    RCNORM                                
055864,000849: 12,2420           74221                           BDSU     VXSC                                  
055865,000850: 12,2421           11622                                    D1/256                                
055866,000851: 12,2422           01511                                    VRECT                                 
055867,000852: 12,2423           42455                           VAD      VSL8                                  
055868,000853: 12,2424           77626                           STADR                                          #                                PL AT 0
055869,000854: 12,2425           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
055870,000855: 12,2426           00037                                    T                                     
055871,000856: 12,2427           15551                           STODL    TC                                    
055872,000857: 12,2430           00025                                    X                                     
055873,000858: 12,2431           35553                           STCALL   XPREV                                 
055874,000859: 12,2432           02270                                    KEPRTN                                
055875,000860: 

Page 1283

055877,000862: 12,2433           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
055878,000863: 12,2434           07171                           TC       POLY                                  
055879,000864: 12,2435           00010                           DEC      8          B-14                       
055880,000865: 12,2436           02525 12526                     2DEC     .083333334                            
055881,000866: 
055882,000867: 12,2440           67356 75666                     2DEC     -.266666684                            
055883,000868: 
055884,000869: 12,2442           15001 23771                     2DEC     .406349155                            
055885,000870: 
055886,000871: 12,2444           64342 43674                     2DEC     -.361198675                            
055887,000872: 
055888,000873: 12,2446           06563 04645                     2DEC     .210153242                            
055889,000874: 
055890,000875: 12,2450           75173 52672                     2DEC     -.086221951                            
055891,000876: 
055892,000877: 12,2452           00656 14331                     2DEC     .026268812                            
055893,000878: 
055894,000879: 12,2454           77633 40512                     2DEC     -.006163316                            
055895,000880: 
055896,000881: 12,2456           00023 11210                     2DEC     .001177342                            
055897,000882: 
055898,000883: 12,2460           77774 67506                     2DEC     -.000199055                            
055899,000884: 
055900,000885: 12,2462           06006                           TC       INTPRET                               
055901,000886: 12,2463           14033                           STODL    S(XI)                                 
055902,000887: 12,2464           00031                                    XI                                    
055903,000888: 12,2465           77776                           EXIT                                           
055904,000889: 12,2466           07171                           TC       POLY                                  
055905,000890: 12,2467           00010                           DEC      8          B-14                       
055906,000891: 12,2470           01000 00000                     2DEC     .031250001                            
055907,000892: 
055908,000893: 12,2472           72525 52506                     2DEC     -.166666719                            
055909,000894: 
055910,000895: 12,2474           13301 15337                     2DEC     .355555413                            
055911,000896: 
055912,000897: 12,2476           62776 54733                     2DEC     -.406347410                            
055913,000898: 
055914,000899: 12,2500           11176 13267                     2DEC     .288962094                            
055915,000900: 
055916,000901: 12,2502           73410 51674                     2DEC     -.140117894                            
055917,000902: 
055918,000903: 12,2504           01446 33641                     2DEC     .049247387                            
055919,000904: 
055920,000905: 12,2506           77451 65233                     2DEC     -.013081923                            
055921,000906: 
055922,000907: 12,2510           00055 37266                     2DEC     .002806389                            
055923,000908: 
055924,000909: 12,2512           77767 52336                     2DEC     -.000529414                            
055925,000910: 
055926,000911: 12,2514           06006                           TC       INTPRET                               

Page 1284

055928,000913: 12,2515           53605                           DMP      SRR*                                  #                                PL AT 0
055929,000914: 12,2516           00001                                    0D                                    
055930,000915: 12,2517           21574                                    0          -5,1                       
055931,000916: 12,2520           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
055932,000917: 12,2521           72405                           DMP      SL1                                   
055933,000918: 12,2522           00043                                    KEPC1                                 
055934,000919: 12,2523           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
055935,000920: 12,2524           45565                                    TPMODE                                #                                PL AT 0,3
055936,000921: 12,2525           53605                           DMP      SRR*                                  
055937,000922: 12,2526           00033                                    S(XI)                                 
055938,000923: 12,2527           21574                                    0          -5,1                       
055939,000924: 12,2530           72405                           DMP      SL1                                   
055940,000925: 12,2531           00045                                    KEPC2                                 
055941,000926: 12,2532           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
055942,000927: 12,2533           45565                                    TPMODE                                
055943,000928: 12,2534           00041                                    R1                                    
055944,000929: 12,2535           76261                           SR       TAD                                   #                                PL AT 3
055945,000930: 12,2536           20607                                    6                                     
055946,000931: 12,2537           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
055947,000932: 12,2540           00047                                    X1                                    
055948,000933: 12,2541           00025                                    X                                     
055949,000934: 12,2542           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
055950,000935: 12,2543           20576                                    0          -3,1                       
055951,000936: 12,2544           57232                           SL4R     DMPR                                  
055952,000937: 12,2545           00023                                    1/ROOTMU                              
055953,000938: 12,2546           00037                           STORE    T                                     
055954,000939: 12,2547           77616                           RVQ                                            
055955,000940: 

Page 1285

055957,000942: 12,2550           71214        ITERATOR           BONCLR   DLOAD                                 
055958,000943: 12,2551           00614                                    SLOPESW                               
055959,000944: 12,2552           24620                                    FIRSTIME                              
055960,000945: 12,2553           00037                                    DEP                                   
055961,000946: 12,2554           60225                           DSU      NORM                                  
055962,000947: 12,2555           02764                                    DEPREV                                
055963,000948: 12,2556           00047                                    X1                                    
055964,000949: 12,2557           60325                           PDDL     NORM                                  
055965,000950: 12,2560           00015                                    DELINDEP                              
055966,000951: 12,2561           00050                                    X2                                    
055967,000952: 12,2562           41260                           XSU,1    DMP                                   
055968,000953: 12,2563           00047                                    X2                                    
055969,000954: 12,2564           02762                                    DELDEP                                
055970,000955: 12,2565           56257                           SLR*     DDV                                   #                                PL UP 2
055971,000956: 12,2566           21202                                    1,1                                   
055972,000957: 12,2567           43142                           SR1      BOFF                                  
055973,000958: 12,2570           04351                                    ORDERSW                               
055974,000959: 12,2571           24574                                    SGNCHECK                              
055975,000960: 12,2572           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
055976,000961: 12,2573           02762                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
055977,000962: 
055978,000963: 12,2574           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
055979,000964: 12,2575           24632                                    POSDEL                                
055980,000965: 12,2576           43145                           DLOAD    BON                                   
055981,000966: 12,2577           03775                                    INDEP                                 
055982,000967: 12,2600           04311                                    ORDERSW                               
055983,000968: 12,2601           24603                                    MINCHECK                              
055984,000969: 12,2602           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
055985,000970: 
055986,000971: 12,2603           45221        MINCHECK           BDSU     DSU                                   
055987,000972: 12,2604           00011                                    MIN                                   
055988,000973: 12,2605           51000                           BOV      BPL                                   
055989,000974: 12,2606           24612                                    MODNGDEL                              
055990,000975: 12,2607           24612                                    MODNGDEL                              
055991,000976: 12,2610           77650                           GOTO                                           
055992,000977: 12,2611           24644                                    DELOK                                 
055993,000978: 
055994,000979: 12,2612           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
055995,000980: 12,2613           00011                                    MIN                                   
055996,000981: 12,2614           03775                                    INDEP                                 
055997,000982: 12,2615           52005                           DMP      GOTO                                  
055998,000983: 12,2616           11624                                    DP9/10                                
055999,000984: 12,2617           24646                                    NEWDEL                                
056000,000985: 
056001,000986: 12,2620           41345        FIRSTIME           DLOAD    DMP                                   
056002,000987: 12,2621           00011                                    MIN                                   
056003,000988: 12,2622           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
056004,000989: 12,2623           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1286

056006,000991: 12,2624           00017                                    MAX                                   
056007,000992: 12,2625           00051                                    TWEEKIT                               
056008,000993: 12,2626           77625                           DSU                                            
056009,000994: 12,2627           52165                           SIGN     GOTO                                  
056010,000995: 12,2630           02762                                    DELDEP                                
056011,000996: 12,2631           24574                                    SGNCHECK                              
056012,000997: 
056013,000998: 12,2632           43145        POSDEL             DLOAD    BON                                   
056014,000999: 12,2633           03775                                    INDEP                                 
056015,001000: 12,2634           04311                                    ORDERSW                               
056016,001001: 12,2635           24637                                    MAXCHECK                              
056017,001002: 12,2636           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
056018,001003: 
056019,001004: 12,2637           45221        MAXCHECK           BDSU     DSU                                   
056020,001005: 12,2640           00017                                    MAX                                   
056021,001006: 12,2641           50000                           BOV      BMN                                   
056022,001007: 12,2642           24650                                    MODPSDEL                              
056023,001008: 12,2643           24650                                    MODPSDEL                              
056024,001009: 12,2644           77745        DELOK              DLOAD                                          
056025,001010: 12,2645           00001                                    0D                                    
056026,001011: 12,2646           00015        NEWDEL             STORE    DELINDEP                              
056027,001012: 12,2647           77616                           RVQ                                            
056028,001013: 
056029,001014: 12,2650           45345        MODPSDEL           DLOAD    DSU                                   
056030,001015: 12,2651           00017                                    MAX                                   
056031,001016: 12,2652           03775                                    INDEP                                 
056032,001017: 12,2653           52005                           DMP      GOTO                                  
056033,001018: 12,2654           11624                                    DP9/10                                
056034,001019: 12,2655           24646                                    NEWDEL                                
056035,001020: 
056036,001021: 12,2656           45017        CHECKCTR           CS       ONE                                   
056037,001022: 12,2657           50120                           INDEX    FIXLOC                                
056038,001023: 12,2660           60026                           AD       ITERCTR                               
056039,001024: 12,2661           50120                           INDEX    FIXLOC                                
056040,001025: 12,2662           54026                           TS       ITERCTR                               
056041,001026: 12,2663           54154                           TS       MPAC                                  
056042,001027: 12,2664           06030                           TC       DANZIG                                
056043,001028: 

Page 1287

056045,001030: 12,2665           44545        NEWSTATE           DLOAD    SR4R                                  
056046,001031: 12,2666           00041                                    R1                                    
056047,001032: 12,2667           74225                           DSU      VXSC                                  
056048,001033: 12,2670           00035                                    XSQC(XI)                              
056049,001034: 12,2671           02724                                    UR1                                   
056050,001035: 12,2672           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
056051,001036: 12,2673           00025                                    X                                     
056052,001037: 12,2674           60316                           DSQ      NORM                                  
056053,001038: 12,2675           00047                                    X1                                    
056054,001039: 12,2676           57275                           DMPR     DMPR                                  
056055,001040: 12,2677           00023                                    1/ROOTMU                              
056056,001041: 12,2700           00025                                    X                                     
056057,001042: 12,2701           53605                           DMP      SRR*                                  
056058,001043: 12,2702           00033                                    S(XI)                                 
056059,001044: 12,2703           21572                                    0          -7,1                       
056060,001045: 12,2704           77621                           BDSU                                           
056061,001046: 12,2705           00037                                    T                                     
056062,001047: 12,2706           74352                           SL1      VXSC                                  
056063,001048: 12,2707           02746                                    VVEC                                  
056064,001049: 12,2710           53372                           VSL1     VAD                                   #                                PL AT 0
056065,001050: 12,2711           41512                           VSL4     PUSH                                  
056066,001051: 12,2712           77646                           ABVAL                                          
056067,001052: 12,2713           77701        LAMENTER           NORM                                           
056068,001053: 12,2714           00047                                    X1                                    
056069,001054: 12,2715           16722                           STODL    R2                                    
056070,001055: 12,2716           00031                                    XI                                    
056071,001056: 12,2717           45205                           DMP      DSU                                   
056072,001057: 12,2720           00033                                    S(XI)                                 
056073,001058: 12,2721           11606                                    D1/128                                
056074,001059: 12,2722           76405                           DMP      SL1R                                  
056075,001060: 12,2723           00021                                    ROOTMU                                
056076,001061: 12,2724           53605                           DMP      SLR*                                  
056077,001062: 12,2725           00025                                    X                                     
056078,001063: 12,2726           21176                                    0          -3,1                       
056079,001064: 12,2727           74271                           DDV      VXSC                                  
056080,001065: 12,2730           02722                                    R2                                    
056081,001066: 12,2731           02724                                    UR1                                   
056082,001067: 12,2732           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
056083,001068: 12,2733           00035                                    XSQC(XI)                              
056084,001069: 12,2734           56257                           SLR*     DDV                                   
056085,001070: 12,2735           21175                                    0          -4,1                       
056086,001071: 12,2736           02722                                    R2                                    
056087,001072: 12,2737           77621                           BDSU                                           
056088,001073: 12,2740           11622                                    D1/256                                
056089,001074: 12,2741           53361                           VXSC     VAD                                   
056090,001075: 12,2742           02746                                    VVEC                                  #                                PL AT 6
056091,001076: 12,2743           43412                           VSL8     RVQ                                   
056092,001077: 

Page 1288

056094,001079: 04,2000                                           SETLOC   CONICS1                               
056095,001080: 04,2000                                           BANK                                           
056096,001081: 
056097,001082: 04,3602                                           COUNT    04/CONIC                              
056098,001083:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
056099,001084: 04,3602           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
056100,001085: 04,3603           04000 00000  D1/8               2DEC     1.0        B-3                        
056101,001086: 
056102,001087: 04,3605           00200 00000  D1/128             2DEC     1.0        B-7                        
056103,001088: 
056104,001089: 04,3607           00400 00000  D1/64              2DEC     1.0        B-6                        
056105,001090: 
056106,001091: 04,3611           10000 00000  D1/4               2DEC     1.0        B-2                        
056107,001092: 
056108,001093: 04,3613           02000 00000  D1/16              2DEC     1.0        B-4                        
056109,001094: 
056110,001095: 04,3615           01000 00000  D1/32              2DEC     1.0        B-5                        
056111,001096: 
056112,001097: 04,3617           00020 00000  D1/1024            2DEC     1.0        B-10                       
056113,001098: 
056114,001099: 04,3621           00100 00000  D1/256             2DEC     1.0        B-8                        
056115,001100: 
056116,001101: 04,3623           34631 23146  DP9/10             2DEC     .9                                    
056117,001102: 
056118,001103: 04,3625  04,3565               KEPZERO            EQUALS   LO6ZEROS                              
056119,001104: 04,3625           77467 77777  -50SC              2DEC     -50.0      B-12                       
056120,001105: 
056121,001106: 04,3627           03110 17665  2PISC              2DEC     6.28318530 B-6                        
056122,001107: 
056123,001108: 04,3631  04,3614               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
056124,001109: 04,3631  04,3620               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
056125,001110: 04,3631           00000 00001  ONEBIT             2DEC     1.0        B-28                       
056126,001111: 
056127,001112: 04,3633           37767 37737  COGUPLIM           2DEC     .999511597                            
056128,001113: 
056129,001114: 04,3635           40010 40040  COGLOLIM           2DEC     -.999511597                            
056130,001115: 

Page 1289

056132,001117: 12,2000                                           SETLOC   CONICS                                
056133,001118: 12,2000                                           BANK                                           
056134,001119: 
056135,001120: 12,2744                                           COUNT    12/CONIC                              
056136,001121: 
056137,001122: 12,2744           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
056138,001123: 12,2745           02712                                    RTNTT                                 
056139,001124: 12,2746           00001                                    0                                     
056140,001125: 12,2747           77600                           BOV                                            
056141,001126: 12,2750           24751                                    +1                                    
056142,001127: 12,2751           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
056143,001128: 12,2752           02657                                    RVEC                                  
056144,001129: 12,2753           02746                                    VVEC                                  
056145,001130: 12,2754           77624                           CALL                                           
056146,001131: 12,2755           11637                                    PARAM                                 
056147,001132: 12,2756           45000                           BOV      CALL                                  
056148,001133: 12,2757           24776                                    COGAOVFL                              #                                PL AT 0
056149,001134: 12,2760           25001                                    GETX                                  
056150,001135: 12,2761           43145        COMMNOUT           DLOAD    BON                                   
056151,001136: 12,2762           00031                                    XI                                    
056152,001137: 12,2763           04310                                    INFINFLG                              
056153,001138: 12,2764           25751                                    ABTCONIC                              
056154,001139: 12,2765           45014                           CLEAR    CALL                                  
056155,001140: 12,2766           04273                                    COGAFLAG                              
056156,001141: 12,2767           24433                                    DELTIME                               
056157,001142: 12,2770           45014                           BON      CALL                                  
056158,001143: 12,2771           03706                                    RVSW                                  
056159,001144: 12,2772           02712                                    RTNTT                                 
056160,001145: 12,2773           24665                                    NEWSTATE                              
056161,001146: 12,2774           77650                           GOTO                                           
056162,001147: 12,2775           02712                                    RTNTT                                 
056163,001148: 
056164,001149: 12,2776           77614        COGAOVFL           SETGO                                          
056165,001150: 12,2777           04033                                    COGAFLAG                              
056166,001151: 12,3000           25751                                    ABTCONIC                              
056167,001152: 04,3637                                           BANK     4                                     
056168,001153: 04,2000                                           SETLOC   CONICS1                               
056169,001154: 04,2000                                           BANK                                           
056170,001155: 04,3637                                           COUNT*   $$/CONIC                              
056171,001156: 04,3637           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
056172,001157: 04,3640           02755                                    RTNPRM                                
056173,001158: 04,3641           03665                                    NORMSW                                
056174,001159: 04,3642           77614                           CLEAR                                          
056175,001160: 04,3643           04273                                    COGAFLAG                              
056176,001161: 04,3644           45131                           SSP      CALL                                  
056177,001162: 04,3645           02675                                    GEOMSGN                               
056178,001163: 04,3646           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
056179,001164: 04,3647           11702                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
056180,001165: 04,3650           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0

Page 1290

056182,001167: 04,3651           56261                           SR       DDV                                   
056183,001168: 04,3652           20606                                    5                                     
056184,001169: 
056185,001170: 04,3653           00045                                    36D                                   
056186,001171: 04,3654           33775                           STOVL*   COGA                                  
056187,001172: 04,3655           11740                                    MUTABLE,1                             
056188,001173: 04,3656           14017                           STODL    1/MU                                  
056189,001174: 04,3657           02722                                    MAGVEC2                               
056190,001175: 04,3660           60316                           DSQ      NORM                                  
056191,001176: 04,3661           00047                                    X1                                    
056192,001177: 04,3662           41275                           DMPR     DMP                                   
056193,001178: 04,3663           00017                                    1/MU                                  
056194,001179: 04,3664           00041                                    R1                                    
056195,001180: 04,3665           77657                           SRR*                                           
056196,001181: 04,3666           21576                                    0          -3,1                       
056197,001182: 04,3667           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
056198,001183: 04,3670           11616                                    D1/32                                 
056199,001184: 04,3671           16744                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
056200,001185: 
056201,001186: 04,3672           60205                           DMP      NORM                                  
056202,001187: 04,3673           00045                                    36D                                   
056203,001188: 04,3674           00047                                    X1                                    
056204,001189: 04,3675           53605                           DMP      SR*                                   
056205,001190: 04,3676           00045                                    36D                                   
056206,001191: 04,3677           20575                                    0          -4,1                       
056207,001192: 04,3700           36742                           STCALL   P                                     #  P (+4)
056208,001193: 04,3701           02755                                    RTNPRM                                
056209,001194: 

Page 1291

056211,001196: 04,3702           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
056212,001197: 04,3703           16714                           STODL    U2                                    #  U2 (+1)
056213,001198: 04,3704           00045                                    36D                                   
056214,001199: 04,3705           26722                           STOVL    MAGVEC2                               #                                PL AT 0
056215,001200: 04,3706           77656                           UNIT                                           
056216,001201: 04,3707           02724                           STORE    UR1                                   #  UR1 (+1)
056217,001202: 04,3710           72441                           DOT      SL1                                   
056218,001203: 04,3711           02714                                    U2                                    
056219,001204: 04,3712           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
056220,001205: 04,3713           00045                                    36D                                   
056221,001206: 04,3714           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
056222,001207: 04,3715           02724                                    UR1                                   
056223,001208: 04,3716           76435                           VXV      VSL1                                  
056224,001209: 04,3717           02714                                    U2                                    
056225,001210: 04,3720           75214                           BON      SIGN                                  
056226,001211: 04,3721           03705                                    NORMSW                                
056227,001212: 04,3722           11734                                    HAVENORM                              
056228,001213: 04,3723           02675                                    GEOMSGN                               
056229,001214: 04,3724           40056                           UNIT     BOV                                   
056230,001215: 04,3725           11732                                    COLINEAR                              
056231,001216: 04,3726           16676        UNITNORM           STODL    UN                                    #  UN (+1)
056232,001217: 04,3727           00045                                    36D                                   
056233,001218: 04,3730           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
056234,001219: 04,3731           02675                                    GEOMSGN                               
056235,001220: 
056236,001221: 04,3732           52162        COLINEAR           VSR1     GOTO                                  
056237,001222: 04,3733           11726                                    UNITNORM                              
056238,001223: 
056239,001224: 04,3734           75246        HAVENORM           ABVAL    SIGN                                  
056240,001225: 04,3735           02675                                    GEOMSGN                               
056241,001226: 04,3736           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
056242,001227: 

Page 1292

056244,001229: 12,3001                                           BANK     12                                    
056245,001230: 12,2000                                           SETLOC   CONICS                                
056246,001231: 12,2000                                           BANK                                           
056247,001232: 
056248,001233: 12,3001                                           COUNT    12/CONIC                              
056249,001234: 
056250,001235: 12,3001           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
056251,001236: 12,3002           00003                                    3                                     
056252,001237: 12,3003           00052                                    S2                                    
056253,001238: 12,3004           00001                                    1                                     
056254,001239: 12,3005           77614                           CLEAR                                          
056255,001240: 12,3006           04276                                    360SW                                 
056256,001241: 12,3007           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
056257,001242: 12,3010           02734                                    CSTH                                  
056258,001243: 12,3011           44342                           SR1      BDSU                                  
056259,001244: 12,3012           11612                                    D1/4                                  
056260,001245: 12,3013           54325                           PDDL     SRR                                   #                                PL AT 4D
056261,001246: 12,3014           02732                                    SNTH                                  
056262,001247: 12,3015           21607                                    6                                     
056263,001248: 12,3016           77671                           DDV                                            #                                PL AT 2
056264,001249: 12,3017           77600                           BOV                                            
056265,001250: 12,3020           25134                                    360CHECK                              
056266,001251: 12,3021           41225                           DSU      DMP                                   
056267,001252: 12,3022           03775                                    COGA                                  #                                PL AT 0
056268,001253: 12,3023           40132                           SL2R     BOV                                   
056269,001254: 12,3024           25134                                    360CHECK                              
056270,001255: 12,3025           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
056271,001256: 12,3026           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
056272,001257: 12,3027           00155                                    MPAC                                  
056273,001258: 12,3030           02744                                    R1A                                   
056274,001259: 12,3031           76202                           SR4      TAD                                   #                                PL AT 2
056275,001260: 12,3032           75440                           BMN      SQRT                                  
056276,001261: 12,3033           25217                                    INFINITY                              
056277,001262: 12,3034           43306                           ROUND    DAD                                   #                                PL AT 0D
056278,001263: 12,3035           61000                           BOV      TIX,2                                 
056279,001264: 12,3036           25132                                    RESETX2                               
056280,001265: 12,3037           25025                                    WLOOP                                 
056281,001266: 
056282,001267: 12,3040           40065                           BDDV     BOV                                   
056283,001268: 12,3041           11606                                    D1/128                                
056284,001269: 12,3042           25217                                    INFINITY                              
056285,001270: 12,3043           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
056286,001271: 12,3044           25217                                    INFINITY                              
056287,001272: 12,3045           77716                           DSQ                                            
056288,001273: 12,3046           41301                           NORM     DMP                                   
056289,001274: 12,3047           00047                                    X1                                    
056290,001275: 12,3050           02744                                    R1A                                   
056291,001276: 12,3051           77457                           SRR*     EXIT                                  
056292,001277: 12,3052           21567                                    0          -10D,1                     

Page 1293

056294,001279: 12,3053           07171                           TC       POLY                                  
056295,001280: 12,3054           00005                           DEC      5          B-14                       
056296,001281: 12,3055           20000 00000                     2DEC     .5                                    
056297,001282: 
056298,001283: 12,3057           72525 52471                     2DEC     -.166666770                            
056299,001284: 
056300,001285: 12,3061           03146 15003                     2DEC     .100000392                            
056301,001286: 
056302,001287: 12,3063           75556 45210                     2DEC     -.071401086                            
056303,001288: 
056304,001289: 12,3065           01615 13553                     2DEC     .055503292                            
056305,001290: 
056306,001291: 12,3067           76371 63777                     2DEC     -.047264098                            
056307,001292: 
056308,001293: 12,3071           01232 27367                     2DEC     .040694204                            
056309,001294: 
056310,001295: 12,3073           06006                           TC       INTPRET                               
056311,001296: 12,3074           76405                           DMP      SL1R                                  #                                PL AT 0D
056312,001297: 12,3075           43006                           PUSH     BON                                   
056313,001298: 12,3076           04316                                    360SW                                 
056314,001299: 12,3077           25204                                    TRUE360X                              
056315,001300: 12,3100           60316        XCOMMON            DSQ      NORM                                  
056316,001301: 12,3101           00047                                    X1                                    
056317,001302: 12,3102           53605                           DMP      SRR*                                  
056318,001303: 12,3103           02744                                    R1A                                   
056319,001304: 12,3104           21565                                    0          -12D,1                     
056320,001305: 12,3105           14031                           STODL    XI                                    #  XI (+6)
056321,001306: 
056322,001307: 12,3106           00041                                    R1                                    
056323,001308: 12,3107           75542                           SR1      SQRT                                  
056324,001309: 12,3110           41306                           ROUND    DMP                                   
056325,001310: 12,3111           77632                           SL4R                                           #                                PL AT 0
056326,001311: 12,3112           00025                           STORE    X                                     #  X (+17 OR +16)
056327,001312: 
056328,001313: 12,3113           60316                           DSQ      NORM                                  
056329,001314: 12,3114           00047                                    X1                                    
056330,001315: 12,3115           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
056331,001316: 12,3116           02742                                    P                                     
056332,001317: 12,3117           00041                                    R1                                    
056333,001318: 12,3120           75452                           SL3      SQRT                                  
056334,001319: 12,3121           56405                           DMP      SL3R                                  
056335,001320: 12,3122           03775                                    COGA                                  
056336,001321: 12,3123           14043                           STODL    KEPC1                                 
056337,001322: 12,3124           02744                                    R1A                                   
056338,001323: 12,3125           43021                           BDSU     CLEAR                                 
056339,001324: 12,3126           11610                                    D1/64                                 
056340,001325: 12,3127           04270                                    INFINFLG                              
056341,001326: 12,3130           00045                           STORE    KEPC2                                 

Page 1294

056343,001328: 12,3131           77616                           RVQ                                            
056344,001329: 
056345,001330: 12,3132           77774        RESETX2            AXT,2                                          
056346,001331: 12,3133           00003                                    3                                     
056347,001332: 
056348,001333: 12,3134           51001        360CHECK           SETPD    BPL                                   
056349,001334: 12,3135           00001                                    0D                                    
056350,001335: 12,3136           25141                                    INVRSEQN                              
056351,001336: 12,3137           77614                           SET                                            
056352,001337: 12,3140           04076                                    360SW                                 
056353,001338: 
056354,001339: 12,3141           75545        INVRSEQN           DLOAD    SQRT                                  
056355,001340: 12,3142           02742                                    P                                     
056356,001341: 12,3143           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
056357,001342: 12,3144           02732                                    SNTH                                  
056358,001343: 12,3145           03775                                    COGA                                  
056359,001344: 12,3146           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
056360,001345: 12,3147           02734                                    CSTH                                  
056361,001346: 12,3150           43202                           SR4      DAD                                   
056362,001347: 12,3151           11616                                    D1/32                                 
056363,001348: 12,3152           41225                           DSU      DMP                                   #                                PL AT 2,0
056364,001349: 12,3153           55301                           NORM     BDDV                                  
056365,001350: 12,3154           00047                                    X1                                    
056366,001351: 12,3155           02732                                    SNTH                                  
056367,001352: 12,3156           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
056368,001353: 12,3157           21174                                    0          -5,1                       
056369,001354: 12,3160           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
056370,001355: 12,3161           14043                           STODL    34D                                   
056371,001356: 12,3162           11614                                    D1/16                                 
056372,001357: 12,3163           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
056373,001358: 12,3164           65234                           RTB      PDDL                                  #                                PL AT 7
056374,001359: 12,3165           45565                                    TPMODE                                
056375,001360: 12,3166           02744                                    R1A                                   
056376,001361: 12,3167           40405                           DMP      SR4                                   
056377,001362: 12,3170           00043                                    34D                                   
056378,001363: 12,3171           77771                           TAD                                            
056379,001364: 12,3172           75440                           BMN      SQRT                                  #                                PL AT 4
056380,001365: 12,3173           25217                                    INFINITY                              
056381,001366: 12,3174           77615                           DAD                                            #                                PL AT 2
056382,001367: 12,3175           60304                           TIX,2    NORM                                  
056383,001368: 12,3176           25163                                    1/WLOOP                               
056384,001369: 12,3177           00047                                    X1                                    
056385,001370: 12,3200           77665                           BDDV                                           
056386,001371: 12,3201           52057                           SLR*     GOTO                                  #                                PL AT 0
056387,001372: 12,3202           21172                                    0          -7,1                       
056388,001373: 12,3203           25043                                    POLYCOEF                              
056389,001374: 

Page 1295

056391,001376: 12,3204           50145        TRUE360X           DLOAD    BMN                                   
056392,001377: 12,3205           02744                                    R1A                                   
056393,001378: 12,3206           25217                                    INFINITY                              
056394,001379: 12,3207           60366                           SQRT     NORM                                  
056395,001380: 12,3210           00047                                    X1                                    
056396,001381: 12,3211           53665                           BDDV     SL*                                   
056397,001382: 12,3212           11630                                    2PISC                                 
056398,001383: 12,3213           20176                                    0          -3,1                       
056399,001384: 12,3214           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
056400,001385: 12,3215           77650                           GOTO                                           
056401,001386: 12,3216           25100                                    XCOMMON                               
056402,001387: 12,3217           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
056403,001388: 12,3220           00001                                    0                                     #  INFINITY IS REQUIRED
056404,001389: 12,3221           25222                                    OVFLCLR                               
056405,001390: 12,3222           43414        OVFLCLR            SET      RVQ                                   
056406,001391: 12,3223           04070                                    INFINFLG                              
056407,001392: 

Page 1296

056409,001394: 12,3224           40220        LAMBERT            STQ      SETPD                                 
056410,001395: 12,3225           02712                                    RTNLAMB                               
056411,001396: 12,3226           00001                                    0D                                    
056412,001397: 12,3227           77600                           BOV                                            
056413,001398: 12,3230           25231                                    +1                                    
056414,001399: 12,3231           76731                           SSP      VLOAD*                                
056415,001400: 12,3232           00027                                    ITERCTR                               
056416,001401: 12,3233           00024                                    20D                                   
056417,001402: 12,3234           11740                                    MUTABLE,1                             
056418,001403: 12,3235           14017                           STODL    1/MU                                  
056419,001404: 12,3236           02673                                    TDESIRED                              
056420,001405: 12,3237           77675                           DMPR                                           
056421,001406: 12,3240           11615                                    BEE19                                 
056422,001407: 12,3241           03777                           STORE    EPSILONL                              
056423,001408: 12,3242           77214                           SET      VLOAD                                 
056424,001409: 12,3243           00474                                    SLOPESW                               
056425,001410: 12,3244           02657                                    R1VEC                                 
056426,001411: 12,3245           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
056427,001412: 12,3246           02665                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
056428,001413: 12,3247           11702                                    GEOM                                  
056429,001414: 12,3250           16732                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
056430,001415: 12,3251           02722                                    MAGVEC2                               
056431,001416: 12,3252           65301                           NORM     PDDL                                  #                                PL AT 4
056432,001417: 12,3253           00047                                    X1                                    
056433,001418: 12,3254           00041                                    R1                                    
056434,001419: 12,3255           56342                           SR1      DDV                                   #                                PL AT 2
056435,001420: 12,3256           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
056436,001421: 12,3257           20173                                    0          -6,1                       
056437,001422: 12,3260           77626                           STADR                                          
056438,001423: 12,3261           75043                           STORE    CSTH                                  #  CSTH (+1)
056439,001424: 12,3262           44342                           SR1      BDSU                                  
056440,001425: 12,3263           11612                                    D1/4                                  
056441,001426: 12,3264           02736                           STORE    1-CSTH                                #  1-CSTH (+2)
056442,001427: 
056443,001428: 12,3265           53106                           ROUND    BZE                                   
056444,001429: 12,3266           25473                                    360LAMB                               
056445,001430: 12,3267           65301                           NORM     PDDL                                  #                                PL AT 4
056446,001431: 12,3270           00047                                    X1                                    
056447,001432: 12,3271           00001                                    0D                                    
056448,001433: 12,3272           56342                           SR1      DDV                                   #                                PL AT 2
056449,001434: 12,3273           75457                           SL*      SQRT                                  
056450,001435: 12,3274           20176                                    0          -3,1                       
056451,001436: 12,3275           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
056452,001437: 12,3276           02732                                    SNTH                                  
056453,001438: 12,3277           20607                                    6                                     
056454,001439: 12,3300           43271                           DDV      DAD                                   #                                PL AT 2
056455,001440: 12,3301           02736                                    1-CSTH                                
056456,001441: 12,3302           77626                           STADR                                          
056457,001442: 12,3303           77760                           STORE    COGAMAX                               
056458,001443: 12,3304           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM

Page 1297

056460,001445: 12,3305           25312                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE
056461,001446: 12,3306           25315                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
056462,001447: 12,3307           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
056463,001448: 12,3310           11634                                    COGUPLIM                              
056464,001449: 12,3311           25315                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
056465,001450: 12,3312           77745        UPLIM              DLOAD                                          
056466,001451: 12,3313           11634                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
056467,001452: 12,3314           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
056468,001453: 12,3315           77745        MAXCOGA            DLOAD                                          
056469,001454: 12,3316           02734                                    CSTH                                  
056470,001455: 12,3317           45261                           SR       DSU                                   #                                PL AT 0
056471,001456: 12,3320           20607                                    6                                     
056472,001457: 12,3321           77626                           STADR                                          
056473,001458: 12,3322           61037                           STODL    CSTH-RHO                              
056474,001459: 12,3323           02675                                    GEOMSGN                               
056475,001460: 12,3324           71240                           BMN      DLOAD                                 
056476,001461: 12,3325           25512                                    LOLIM                                 
056477,001462: 12,3326           02740                                    CSTH-RHO                              
056478,001463: 12,3327           56352                           SL1      DDV                                   
056479,001464: 12,3330           02732                                    SNTH                                  
056480,001465: 12,3331           77600                           BOV                                            
056481,001466: 12,3332           25512                                    LOLIM                                 
056482,001467: 12,3333           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
056483,001468: 12,3334           66214                           BON      SSP                                   
056484,001469: 12,3335           00715                                    GUESSW                                
056485,001470: 12,3336           25477                                    NOGUESS                               
056486,001471: 12,3337           00051                                    TWEEKIT                               
056487,001472: 12,3340           00001                                    00001                                 
056488,001473: 12,3341           77745                           DLOAD                                          
056489,001474: 12,3342           03775                                    COGA                                  
056490,001475: 
056491,001476: 12,3343           77605        LAMBLOOP           DMP                                            
056492,001477: 12,3344           02732                                    SNTH                                  
056493,001478: 12,3345           45342                           SR1      DSU                                   
056494,001479: 12,3346           02740                                    CSTH-RHO                              
056495,001480: 12,3347           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
056496,001481: 12,3350           00047                                    X1                                    
056497,001482: 12,3351           02736                                    1-CSTH                                
056498,001483: 12,3352           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
056499,001484: 12,3353           20170                                    0          -9D,1                      
056500,001485: 12,3354           53040                           BMN      BZE                                   
056501,001486: 12,3355           25431                                    NEGP                                  
056502,001487: 12,3356           25431                                    NEGP                                  
056503,001488: 12,3357           16742                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
056504,001489: 12,3360           03775                                    COGA                                  
056505,001490: 12,3361           43316                           DSQ      DAD                                   
056506,001491: 12,3362           11620                                    D1/1024                               
056507,001492: 12,3363           41301                           NORM     DMP                                   
056508,001493: 12,3364           00047                                    X1                                    

Page 1298

056510,001495: 12,3365           02742                                    P                                     
056511,001496: 12,3366           44257                           SR*      BDSU                                  
056512,001497: 12,3367           20571                                    0          -8D,1                      
056513,001498: 12,3370           11616                                    D1/32                                 
056514,001499: 12,3371           16744                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
056515,001500: 
056516,001501: 12,3372           02742                                    P                                     
056517,001502: 12,3373           45000                           BOV      CALL                                  
056518,001503: 12,3374           25434                                    HIENERGY                              
056519,001504: 12,3375           25001                                    GETX                                  
056520,001505: 12,3376           77745                           DLOAD                                          
056521,001506: 12,3377           00037                                    T                                     
056522,001507: 12,3400           16764                           STODL    TPREV                                 
056523,001508: 12,3401           00031                                    XI                                    
056524,001509: 12,3402           45014                           BON      CALL                                  
056525,001510: 12,3403           04310                                    INFINFLG                              
056526,001511: 12,3404           25431                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
056527,001512: 12,3405           24433                                    DELTIME                               
056528,001513: 12,3406           44200                           BOV      BDSU                                  
056529,001514: 12,3407           25450                                    BIGTIME                               
056530,001515: 12,3410           02673                                    TDESIRED                              
056531,001516: 12,3411           02762                           STORE    TERRLAMB                              
056532,001517: 12,3412           44246                           ABS      BDSU                                  
056533,001518: 12,3413           03777                                    EPSILONL                              
056534,001519: 12,3414           47044                           BPL      RTB                                   
056535,001520: 12,3415           25515                                    INITV                                 
056536,001521: 12,3416           24656                                    CHECKCTR                              
056537,001522: 12,3417           45030                           BHIZ     CALL                                  
056538,001523: 12,3420           25460                                    SUFFCHEK                              
056539,001524: 12,3421           24550                                    ITERATOR                              
056540,001525: 12,3422           53145                           DLOAD    BZE                                   
056541,001526: 12,3423           00155                                    MPAC                                  
056542,001527: 12,3424           25460                                    SUFFCHEK                              
056543,001528: 12,3425           77615                           DAD                                            
056544,001529: 12,3426           03775                                    COGA                                  
056545,001530: 12,3427           37775                           STCALL   COGA                                  
056546,001531: 12,3430           25343                                    LAMBLOOP                              
056547,001532: 
056548,001533: 12,3431           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
056549,001534: 12,3432           00015                                    DCOGA                                 #  BOUND CALCULATION.  TRY NEW COGA.
056550,001535: 12,3433           25453                                    LOENERGY                              
056551,001536: 
056552,001537: 12,3434           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
056553,001538: 12,3435           00001                                    0                                     
056554,001539: 12,3436           03775                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
056555,001540: 12,3437           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
056556,001541: 12,3440           70545        COMMONLM           DLOAD    SR1                                   
056557,001542: 12,3441           00015                                    DCOGA                                 

Page 1299

056559,001544: 12,3442           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
056560,001545: 12,3443           44254                           BZE      BDSU                                  
056561,001546: 12,3444           25460                                    SUFFCHEK                              
056562,001547: 12,3445           03775                                    COGA                                  
056563,001548: 12,3446           37775                           STCALL   COGA                                  
056564,001549: 12,3447           25343                                    LAMBLOOP                              
056565,001550: 
056566,001551: 12,3450           77745        BIGTIME            DLOAD                                          
056567,001552: 12,3451           02764                                    TPREV                                 
056568,001553: 12,3452           00037                           STORE    T                                     
056569,001554: 
056570,001555: 12,3453           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
056571,001556: 12,3454           00001                                    0                                     
056572,001557: 12,3455           03775                                    COGA                                  #  IN OVERFLOW OF TIME.
056573,001558: 12,3456           34017                           STCALL   COGAMAX                               #  THIS IS THE NEW BOUND.
056574,001559: 12,3457           25440                                    COMMONLM                              
056575,001560: 
056576,001561: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
056577,001562: 12,3461           02762                                    TERRLAMB                              
056578,001563: 12,3462           41325                           PDDL     DMP                                   
056579,001564: 12,3463           02673                                    TDESIRED                              #                                PL AT 2D
056580,001565: 12,3464           11612                                    D1/4                                  
056581,001566: 12,3465           45215                           DAD      DSU                                   #                                PL AT 0D
056582,001567: 12,3466           11632                                    ONEBIT                                
056583,001568: 12,3467           43044                           BPL      SETGO                                 
056584,001569: 12,3470           25515                                    INITV                                 
056585,001570: 12,3471           02434                                    SOLNSW                                
056586,001571: 12,3472           02712                                    RTNLAMB                               
056587,001572: 
056588,001573: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
056589,001574: 12,3474           00001                                    0                                     
056590,001575: 12,3475           02434                                    SOLNSW                                
056591,001576: 12,3476           02712                                    RTNLAMB                               
056592,001577: 
056593,001578: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
056594,001579: 12,3500           00051                                    TWEEKIT                               
056595,001580: 12,3501           10000                                    20000                                 
056596,001581: 12,3502           00011                                    COGAMIN                               
056597,001582: 12,3503           65342                           SR1      PDDL                                  #                                PL AT 2
056598,001583: 12,3504           00017                                    COGAMAX                               
056599,001584: 12,3505           43342                           SR1      DAD                                   
056600,001585: 12,3506           77626                           STADR                                          #                                PL AT 0
056601,001586: 12,3507           74002                           STORE    COGA                                  
056602,001587: 12,3510           34015                           STCALL   DCOGA                                 
056603,001588: 12,3511           25343                                    LAMBLOOP                              

Page 1300

056605,001590: 12,3512           52145        LOLIM              DLOAD    GOTO                                  
056606,001591: 12,3513           11636                                    COGLOLIM                              #  COGLOLIM=-.999511597
056607,001592: 12,3514           25333                                    MINCOGA                               
056608,001593: 
056609,001594: 12,3515           60345        INITV              DLOAD    NORM                                  
056610,001595: 12,3516           00041                                    R1                                    
056611,001596: 12,3517           00047                                    X1                                    
056612,001597: 12,3520           70525                           PDDL     SR1                                   #                                PL AT 2
056613,001598: 12,3521           02742                                    P                                     
056614,001599: 12,3522           77671                           DDV                                            #                                PL AT 0
056615,001600: 12,3523           75457                           SL*      SQRT                                  
056616,001601: 12,3524           20175                                    0          -4,1                       
056617,001602: 12,3525           72405                           DMP      SL1                                   
056618,001603: 12,3526           00021                                    ROOTMU                                
056619,001604: 12,3527           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
056620,001605: 12,3530           03775                                    COGA                                  
056621,001606: 12,3531           74261                           SL       VXSC                                  
056622,001607: 12,3532           20206                                    5                                     
056623,001608: 12,3533           02724                                    UR1                                   
056624,001609: 12,3534           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
056625,001610: 12,3535           76561                           VXSC     VSL1                                  
056626,001611: 12,3536           02676                                    UN                                    
056627,001612: 12,3537           53235                           VXV      VAD                                   
056628,001613: 12,3540           02724                                    UR1                                   #                                PL AT 0
056629,001614: 12,3541           43172                           VSL1     CLEAR                                 
056630,001615: 12,3542           02674                                    SOLNSW                                
056631,001616: 12,3543           02746                           STORE    VVEC                                  
056632,001617: 12,3544           53135                           SLOAD    BZE                                   
056633,001618: 12,3545           02704                                    VTARGTAG                              
056634,001619: 12,3546           25551                                    TARGETV                               
056635,001620: 12,3547           77650                           GOTO                                           
056636,001621: 12,3550           02712                                    RTNLAMB                               
056637,001622: 
056638,001623: 12,3551           45145        TARGETV            DLOAD    CALL                                  
056639,001624: 12,3552           02722                                    MAGVEC2                               
056640,001625: 12,3553           24713                                    LAMENTER                              
056641,001626: 12,3554           36705                           STCALL   VTARGET                               
056642,001627: 12,3555           02712                                    RTNLAMB                               
056643,001628: 

Page 1301

056645,001630: 12,3556           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
056646,001631: 12,3557           02712                                    RTNTR                                 
056647,001632: 12,3560           00001                                    0                                     
056648,001633: 12,3561           77600                           BOV                                            
056649,001634: 12,3562           25563                                    +1                                    
056650,001635: 12,3563           63375                           VLOAD    PDVL                                  #                                PL AT 6
056651,001636: 12,3564           02657                                    RVEC                                  
056652,001637: 12,3565           02746                                    VVEC                                  
056653,001638: 12,3566           77624                           CALL                                           
056654,001639: 12,3567           11637                                    PARAM                                 
056655,001640: 12,3570           71200                           BOV      DLOAD                                 
056656,001641: 12,3571           24776                                    COGAOVFL                              #                                PL AT 0
056657,001642: 12,3572           11616                                    D1/32                                 
056658,001643: 12,3573           41225                           DSU      DMP                                   
056659,001644: 12,3574           02744                                    R1A                                   
056660,001645: 12,3575           02742                                    P                                     
056661,001646: 12,3576           41366                           SQRT     DMP                                   
056662,001647: 12,3577           03775                                    COGA                                  
056663,001648: 12,3600           74212                           SL4      VXSC                                  
056664,001649: 12,3601           02714                                    U2                                    
056665,001650: 12,3602           45325                           PDDL     DSU                                   #                                PL AT 6
056666,001651: 12,3603           11610                                    D1/64                                 
056667,001652: 12,3604           02744                                    R1A                                   
056668,001653: 12,3605           52361                           VXSC     VSU                                   #                                PL AT 0
056669,001654: 12,3606           02724                                    UR1                                   
056670,001655: 12,3607           53512                           VSL4     UNIT                                  
056671,001656: 12,3610           77600                           BOV                                            
056672,001657: 12,3611           25667                                    CIRCULAR                              
056673,001658: 12,3612           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
056674,001659: 12,3613           02760                                    RDESIRED                              #  36D=ECC (+3)
056675,001660: 12,3614           00047                                    X1                                    
056676,001661: 12,3615           41325                           PDDL     DMP                                   #                                PL AT 8
056677,001662: 12,3616           00041                                    R1                                    
056678,001663: 12,3617           02742                                    P                                     
056679,001664: 12,3620           56257                           SL*      DDV                                   #                                PL AT 6
056680,001665: 12,3621           20201                                    0,1                                   
056681,001666: 12,3622           56225                           DSU      DDV                                   
056682,001667: 12,3623           11614                                    D1/16                                 
056683,001668: 12,3624           00045                                    36D                                   #  36D=ECC (+3)
056684,001669: 12,3625           00031                           STORE    COSF                                  
056685,001670: 12,3626           63400                           BOV      DSQ                                   
056686,001671: 12,3627           25673                                    BADR2                                 
056687,001672: 12,3630           50021                           BDSU     BMN                                   
056688,001673: 12,3631           11612                                    D1/4                                  
056689,001674: 12,3632           25673                                    BADR2                                 
056690,001675: 12,3633           75366                           SQRT     SIGN                                  
056691,001676: 12,3634           02757                                    SGNRDOT                               
056692,001677: 12,3635           77614                           CLEAR                                          
056693,001678: 12,3636           04272                                    APSESW                                
056694,001679: 

Page 1302

056696,001681: 12,3637           76561        TERMNVEC           VXSC     VSL1                                  
056697,001682: 12,3640           02676                                    UN                                    
056698,001683: 12,3641           63235                           VXV      PDVL                                  #  VXCH WITH 0D          PL AT 0,6
056699,001684: 12,3642           00001                                    0D                                    
056700,001685: 12,3643           53361                           VXSC     VAD                                   #                        PL AT 0
056701,001686: 12,3644           00031                                    COSF                                  
056702,001687: 12,3645           41572                           VSL1     PUSH                                  #  0D=U2                 PL AT 6
056703,001688: 
056704,001689: 12,3646           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
056705,001690: 12,3647           02724                                    UR1                                   
056706,001691: 12,3650           23756                                    DP1/4                                 
056707,001692: 12,3651           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
056708,001693: 12,3652           25653                                    +1                                    #  CLEAR OVFIND IF SET
056709,001694: 12,3653           26734                           STOVL    CSTH                                  #  CSTH (+1)
056710,001695: 12,3654           02724                                    UR1                                   
056711,001696: 12,3655           76435                           VXV      VSL1                                  
056712,001697: 12,3656           72441                           DOT      SL1                                   
056713,001698: 12,3657           02676                                    UN                                    
056714,001699: 12,3660           16732                           STODL    SNTH                                  #  SNTH (+1)
056715,001700: 12,3661           02742                                    P                                     
056716,001701: 12,3662           77624                           CALL                                           
056717,001702: 12,3663           25001                                    GETX                                  
056718,001703: 12,3664           77614                           CLRGO                                          
056719,001704: 12,3665           02634                                    SOLNSW                                
056720,001705: 12,3666           24761                                    COMMNOUT                              
056721,001706: 
056722,001707: 12,3667           43001        CIRCULAR           SETPD    SETGO                                 
056723,001708: 12,3670           00001                                    0                                     
056724,001709: 12,3671           02434                                    SOLNSW                                
056725,001710: 12,3672           25751                                    ABTCONIC                              
056726,001711: 
056727,001712: 12,3673           75345        BADR2              DLOAD    SIGN                                  
056728,001713: 12,3674           11564                                    LODPHALF                              
056729,001714: 12,3675           00031                                    COSF                                  
056730,001715: 12,3676           14031                           STODL    COSF                                  
056731,001716: 12,3677           11566                                    KEPZERO                               
056732,001717: 12,3700           77614                           SETGO                                          
056733,001718: 12,3701           04032                                    APSESW                                
056734,001719: 12,3702           25637                                    TERMNVEC                              
056735,001720: 

Page 1303

056737,001722: 12,3703           40220        APSIDES            STQ      SETPD                                 #                        PL AT 0
056738,001723: 12,3704           02712                                    RTNAPSE                               
056739,001724: 12,3705           00001                                    0D                                    
056740,001725: 12,3706           77600                           BOV                                            
056741,001726: 12,3707           25710                                    +1                                    
056742,001727: 12,3710           63375                           VLOAD    PDVL                                  #                        PL AT 6
056743,001728: 12,3711           02657                                    RVEC                                  
056744,001729: 12,3712           02746                                    VVEC                                  
056745,001730: 12,3713           77624                           CALL                                           
056746,001731: 12,3714           11637                                    PARAM                                 
056747,001732: 12,3715           77600                           BOV                                            #                        PL AT 0
056748,001733: 12,3716           25717                                    GETECC                                
056749,001734: 12,3717           42405        GETECC             DMP      SL4                                   
056750,001735: 12,3720           02744                                    R1A                                   
056751,001736: 12,3721           75421                           BDSU     SQRT                                  
056752,001737: 12,3722           11610                                    D1/64                                 
056753,001738: 12,3723           02754                           STORE    ECC                                   
056754,001739: 12,3724           65215                           DAD      PDDL                                  #                        PL AT 2
056755,001740: 12,3725           11604                                    D1/8                                  
056756,001741: 12,3726           00041                                    R1                                    
056757,001742: 12,3727           72405                           DMP      SL1                                   
056758,001743: 12,3730           02742                                    P                                     
056759,001744: 12,3731           77671                           DDV                                            #                        PL AT 0
056760,001745: 12,3732           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)    PL AT 2
056761,001746: 12,3733           02744                                    R1A                                   
056762,001747: 12,3734           00047                                    X1                                    
056763,001748: 12,3735           53725                           PDDL     SL*                                   #                        PL AT 4
056764,001749: 12,3736           00041                                    R1                                    
056765,001750: 12,3737           20174                                    0          -5,1                       
056766,001751: 12,3740           45271                           DDV      DSU                                   #                        PL AT 2,0
056767,001752: 12,3741           50000                           BOV      BMN                                   
056768,001753: 12,3742           25746                                    INFINAPO                              
056769,001754: 12,3743           25746                                    INFINAPO                              
056770,001755: 12,3744           77650                           GOTO                                           
056771,001756: 12,3745           02712                                    RTNAPSE                               
056772,001757: 12,3746           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
056773,001758: 12,3747           11577                                    LDPOSMAX                              
056774,001759: 12,3750           02712                                    RTNAPSE                               #  THAT PL IS AT 0.
056775,001760: 

Page 1304

056777,001762: 12,3751           77776        ABTCONIC           EXIT                                           
056778,001763: 12,3752           05721                           TC       POODOO                                
056779,001764: 12,3753           00607                           OCT      00607                                 
056780,001765: 

Page 1305

056782,001767: 04,2000                                           SETLOC   CONICS1                               
056783,001768: 04,2000                                           BANK                                           
056784,001769: 
056785,001770: 04,3737                                           COUNT    04/CONIC                              
056786,001771: 
056787,001772: 04,3737           22437 16067  MUTABLE            2DEC*    3.986032   E10        B-36*           #  MUE
056788,001773: 
056789,001774: 04,3741           15625 21042                     2DEC*    .25087606  E-10       B+34*           #  1/MUE
056790,001775: 
056791,001776: 04,3743           30276 04773                     2DEC*    1.99650495 E5         B-18*           #  SQRT(MUE)
056792,001777: 
056793,001778: 04,3745           25004 06702                     2DEC*    .50087529  E-5        B+17*           #  1/SQRT(MUE)
056794,001779: 
056795,001780: 04,3747           16471 01352                     2DEC     4.902778   E8         B-30            #  MUM
056796,001781: 
056797,001782: 04,3751           21412 20500                     2DEC     .203966    E-8        B+28            #  1/MUM
056798,001783: 
056799,001784: 04,3753           25477 03367                     2DEC*    2.21422176 E4         B-15*           #  SQRT(MUM)
056800,001785: 
056801,001786: 04,3755           27533 07571                     2DEC*    .45162595  E-4        B+14*           #  1/SQRT(MUM)
056802,001787: 
056803,001788: 04,3757  04,3576               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
056804,001789: 
056805,001790:                                                                                                  #  ERASABLE ASSIGNMENTS
056806,001791: 
056807,001792:                                                                                                  #  KEPLER SUBROUTINE
056808,001793: 
056809,001794:                                                                                                  #  INPUT -
056810,001795:                                                                                                  #  RRECT         ERASE   +5
056811,001796:                                                                                                  #  VRECT         ERASE   +5
056812,001797:                                                                                                  #  TAU.          ERASE   +1
056813,001798:                                                                                                  #  XKEP          ERASE   +1
056814,001799:                                                                                                  #  TC            ERASE   +1
056815,001800:                                                                                                  #  XPREV         ERASE   +1
056816,001801: 04,3757                        1/MU               EQUALS   14D                                   
056817,001802: 04,3757                        ROOTMU             EQUALS   16D                                   
056818,001803: 04,3757                        1/ROOTMU           EQUALS   18D                                   
056819,001804: 
056820,001805:                                                                                                  #  OUTPUT -
056821,001806:                                                                                                  #  RCV           ERASE   +5
056822,001807:                                                                                                  #  VCV           ERASE   +5
056823,001808:                                                                                                  #  RC            ERASE   +1
056824,001809:                                                                                                  #  XPREV         ERASE   +1
056825,001810: 
056826,001811:                                                                                                  #  DEBRIS -
056827,001812: 04,3757                        ALPHA              EQUALS   8D                                    
056828,001813: 04,3757                        XMAX               EQUALS   10D                                   

Page 1306

056830,001815: 04,3757                        XMIN               EQUALS   12D                                   
056831,001816: 04,3757                        X                  EQUALS   20D                                   
056832,001817: 04,3757                        XI                 EQUALS   24D                                   
056833,001818: 04,3757                        S(XI)              EQUALS   26D                                   
056834,001819: 04,3757                        XSQC(XI)           EQUALS   28D                                   
056835,001820: 04,3757                        T                  EQUALS   30D                                   
056836,001821: 04,3757                        R1                 EQUALS   32D                                   
056837,001822: 04,3757                        KEPC1              EQUALS   34D                                   
056838,001823: 04,3757                        KEPC2              EQUALS   36D                                   
056839,001824: 
056840,001825:                                                                                                  #  DELX          ERASE   +1
056841,001826:                                                                                                  #  DELT          ERASE   +1
056842,001827:                                                                                                  #  URRECT        ERASE   +5
056843,001828:                                                                                                  #  RCNORM        ERASE   +1
056844,001829:                                                                                                  #  XPREV         EQUALS  XKEP
056845,001830: 
056846,001831: 
056847,001832:                                                                                                  #  LAMBERT SUBROUTINE
056848,001833: 
056849,001834:                                                                                                  #  INPUT -
056850,001835:                                                                                                  #  R1VEC         ERASE   +5
056851,001836:                                                                                                  #  R2VEC         ERASE   +5
056852,001837:                                                                                                  #  TDESIRED      ERASE   +1
056853,001838:                                                                                                  #  GEOMSGN       ERASE   +0
056854,001839:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT
056855,001840:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
056856,001841:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
056857,001842:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
056858,001843:                                                                                                  #  VTARGTAG      ERASE   +0
056859,001844:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
056860,001845: 
056861,001846:                                                                                                  #  OUTPUT -
056862,001847:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
056863,001848:                                                                                                  #  V1VEC         EQUALS  MPAC
056864,001849: 
056865,001850:                                                                                                  #  DEBRIS -
056866,001851:                                                                                                  #  RTNLAMB       ERASE   +0
056867,001852:                                                                                                  #  U2            ERASE   +5
056868,001853:                                                                                                  #  MAGVEC2       ERASE   +1
056869,001854:                                                                                                  #  UR1           ERASE   +5
056870,001855:                                                                                                  #  R1            EQUALS  31D
056871,001856:                                                                                                  #  UN            ERASE   +5
056872,001857:                                                                                                  #  SNTH          ERASE   +1
056873,001858:                                                                                                  #  CSTH          ERASE   +1
056874,001859:                                                                                                  #  1-CSTH        ERASE   +1
056875,001860:                                                                                                  #  CSTH-RHO      ERASE   +1
056876,001861: 
056877,001862: 04,3757                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
056878,001863: 04,3757                        COGAMIN            EQUALS   8D                                    
056879,001864: 04,3757                        DCOGA              EQUALS   12D                                   
056880,001865: 
056881,001866:                                                                                                  #  TWEEKIT       EQUALS  40D
056882,001867:                                                                                                  #  P             ERASE   +1

Page 1307

056884,001869:                                                                                                  #  COGA          ERASE   +1
056885,001870:                                                                                                  #  R1A           ERASE   +1
056886,001871:                                                                                                  #  X             EQUALS  20D
056887,001872:                                                                                                  #  XSQ           EQUALS  22D
056888,001873:                                                                                                  #  XI            EQUALS  24D
056889,001874:                                                                                                  #  S(XI)         EQUALS  26D
056890,001875:                                                                                                  #  XSQC(XI)      EQUALS  28D
056891,001876:                                                                                                  #  T             EQUALS  30D
056892,001877:                                                                                                  #  KEPC1         EQUALS  34D
056893,001878:                                                                                                  #  KEPC2         EQUALS  36D
056894,001879:                                                                                                  #  SLOPESW
056895,001880:                                                                                                  #  SOLNSW
056896,001881: 
056897,001882:                                                                                                  #  OTHERS -
056898,001883:                                                                                                  #  RVEC          EQUALS  R1VEC
056899,001884:                                                                                                  #  VVEC          ERASE   +5
056900,001885:                                                                                                  #  COGAFLAG
056901,001886:                                                                                                  #  RVSW
056902,001887:                                                                                                  #  INFINFLG
056903,001888:                                                                                                  #  APSESW
056904,001889:                                                                                                  #  360SW
056905,001890:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
056906,001891:                                                                                                  #  ECC           ERASE   +1
056907,001892:                                                                                                  #  RTNTR         EQUALS  RTNLAMB
056908,001893:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
056909,001894:                                                                                                  #  R2            EQUALS  MAGVEC2
056910,001895: 
056911,001896: 04,3757                        COSF               EQUALS   24D                                   
056912,001897: 
056913,001898:                                                                                                  #  RTNPRM        ERASE   +0
056914,001899:                                                                                                  #  SGNRDOT       ERASE   +0
056915,001900:                                                                                                  #  RDESIRED      ERASE   +1
056916,001901: 
056917,001902: 
056918,001903:                                                                                                  #  ITERATOR SUBROUTINE
056919,001904: 
056920,001905:                                                                                                  #  ORDERSW
056921,001906: 04,3757                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
056922,001907: 04,3757                        MIN                EQUALS   8D                                    
056923,001908: 
056924,001909:                                                                                                  #  INDEP         ERASE   +1
056925,001910: 
056926,001911: 04,3757                        DELINDEP           EQUALS   12D                                   
056927,001912: 04,3757                        ITERCTR            EQUALS   22D                                   
056928,001913: 04,3757                        DEP                EQUALS   30D                                   
056929,001914: 
056930,001915:                                                                                                  #  DELDEP        ERASE   +1
056931,001916:                                                                                                  #  DEPREV        ERASE   +1
056932,001917: 
056933,001918: 04,3757                        TWEEKIT            EQUALS   40D                                   
056934,001919: 
056935,001920: 
056936,001921:                                                                                                  #  MORE KEPLER
056937,001922: 
056938,001923:                                                                                                  #  EPSILONT      ERASE   +1
056939,001924: 

Page 1308

056941,001926:                                                                                                  #  MORE LAMBERT
056942,001927: 
056943,001928:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
056944,001929:                                                                                                  #  TPREV         EQUALS  DEPREV
056945,001930: 
056946,001931:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD
056947,001932: 
056948,001933: 

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