Source Code

These source-code files are part of a reconstructed copy of Luminary 163, the first (unflown) release of the Apollo 14 Lunar Module (LM) Apollo Guidance Computer (AGC) software.

The reconstruction began with reconstructed source code for Luminary 173. Changes between revision 163 and 173 were backed out, as described by Luminary memos 157 and 158. The reconstruction was verified by matching memory-bank checksums to those listed in drawing 2021152N. Note that page numbers in the reconstructed code match those for the baseline log section mentioned in each file's changelog; the page numbers for a real Luminary 163 listing would be different.

Comments from the original source code are prefixed with a single '#' symbol, whereas comments added later are prefixed by "##" or "###". Report any errors noted by creating an issue report at the Virtual AGC project's GitHub repository.

048744,000002:                                                                                                  ## Copyright:   Public domain.
048745,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
048746,000004:                                                                                                  ## Purpose:     A section of Luminary revision 163.
048747,000005:                                                                                                  ##              It is part of the reconstructed source code for the first
048748,000006:                                                                                                  ##              (unflown) release of the flight software for the Lunar
048749,000007:                                                                                                  ##              Module's (LM) Apollo Guidance Computer (AGC) for Apollo 14.
048750,000008:                                                                                                  ##              The code has been recreated from a reconstructed copy of
048751,000009:                                                                                                  ##              Luminary 173, as well as Luminary memos 157 amd 158.
048752,000010:                                                                                                  ##              It has been adapted such that the resulting bugger words
048753,000011:                                                                                                  ##              exactly match those specified for Luminary 163 in NASA
048754,000012:                                                                                                  ##              drawing 2021152N, which gives relatively high confidence
048755,000013:                                                                                                  ##              that the reconstruction is correct.
048756,000014:                                                                                                  ## Reference:   pp. 1150-1194
048757,000015:                                                                                                  ## Assembler:   yaYUL
048758,000016:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
048759,000017:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
048760,000018:                                                                                                  ## Mod history: 2019-08-21 MAS  Created from Luminary 173.
048761,000019: 

Page 1150

048763,000021:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION                       DATE - 1 SEPTEMBER 1967
048764,000022:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
048765,000023:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
048766,000024: 
048767,000025: 
048768,000026: 
048769,000027:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048770,000028: 
048771,000029:                                                                                                  #       THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
048772,000030:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
048773,000031:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
048774,000032:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
048775,000033:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
048776,000034:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
048777,000035:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
048778,000036:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
048779,000037:                                                                                                  #  TINES APPROPRIATELY.
048780,000038:                                                                                                  #       DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
048781,000039:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
048782,000040:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
048783,000041: 
048784,000042: 
048785,000043:                                                                                                  #  RESTRICTIONS -
048786,000044: 
048787,000045:                                                                                                  #       THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
048788,000046:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
048789,000047:                                                                                                  #  TORIES COULD BE HANDLED.
048790,000048:                                                                                                  #       SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
048791,000049:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
048792,000050:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
048793,000051: 

Page 1151

048795,000053:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                                 DATE - 11 OCTOBER 1967
048796,000054:                                                                                                  #  MOD NO. -1                                                                       LOG SECTION - CONIC SUBROUTINES
048797,000055:                                                                                                  #  MOD BY KRAUSE                                                           ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
048798,000056:                                                                                                  #  MOD NO. - 2  (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
048799,000057: 
048800,000058: 
048801,000059:                                                                                                  #  MOD NO. - 3  (DEC 1968) BY ROBERTSON: SUPPRESSION OF X-MODULO-ING
048802,000060: 
048803,000061: 
048804,000062:                                                                                                  #  MOD. NO. - 4  (JAN 1969) BY ROBERTSON: CLEAR OVFIND AT KEPLER ENTRY
048805,000063: 
048806,000064: 
048807,000065:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048808,000066:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
048809,000067:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
048810,000068:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
048811,000069:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
048812,000070:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
048813,000071:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
048814,000072:                                                                                                  #       IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
048815,000073:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
048816,000074:                                                                                                  #       IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
048817,000075:                                                                                                  #  MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
048818,000076: 
048819,000077: 
048820,000078:                                                                                                  #  THE RESTRICTIONS ARE -
048821,000079:                                                                                                  #       1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
048822,000080:                                                                                                  #       2.  THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
048823,000081:                                                                                                  #  ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048824,000082: 
048825,000083: 
048826,000084:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
048827,000085:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
048828,000086:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
048829,000087: 
048830,000088: 
048831,000089: 
048832,000090:                                                                                                  #  REFERENCES -
048833,000091:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
048834,000092:                                                                                                  #  MEMO 67-4.
048835,000093: 
048836,000094: 
048837,000095: 
048838,000096:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048839,000097: 
048840,000098:                                                                                                  #          * SCALE FACTOR *
048841,000099:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048842,000100:                                                                                                  #  --------*--------------*                         -----------------------
048843,000101:                                                                                                  #  RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048844,000102:                                                                                                  #          * +27 FOR MOON *

Page 1152

048846,000104:                                                                                                  #  VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048847,000105:                                                                                                  #          * +5 FOR MOON  *
048848,000106:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048849,000107:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
048850,000108:                                                                                                  #  TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
048851,000109:                                                                                                  #          *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
048852,000110:                                                                                                  #  XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
048853,000111:                                                                                                  #          * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD,VIZ, 2PI SQRT(SEMI-
048854,000112:                                                                                                  #          *              *    MAJOR AXIS),FOR SPEED OF CONVERGENCE,BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
048855,000113:                                                                                                  #          *              *    BY KEPLER TO A POOR BUT VALID GUESS.
048856,000114:                                                                                                  #  TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
048857,000115:                                                                                                  #  XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
048858,000116:                                                                                                  #          * +16 FOR MOON *    ORBITAL PERIOD,VIZ,2PI SQRT(SEMI-MAJOR AXIS)
048859,000117: 
048860,000118: 
048861,000119: 
048862,000120:                                                                                                  #  SUBROUTINES CALLED -
048863,000121:                                                                                                  #       DELTIME
048864,000122: 
048865,000123: 
048866,000124: 
048867,000125:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048868,000126: 
048869,000127:                                                                                                  #  KEPRTN-2 GOTO                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048870,000128:                                                                                                  #  KEPRTN-1        KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
048871,000129:                                                                                                  #  KEPRTN   ...                    CONTINUE
048872,000130: 
048873,000131:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
048874,000132:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
048875,000133:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
048876,000134: 
048877,000135: 
048878,000136: 
048879,000137:                                                                                                  #  ABORT EXIT MODES -
048880,000138:                                                                                                  #       NONE
048881,000139: 
048882,000140: 
048883,000141: 
048884,000142:                                                                                                  #  OUTPUT -
048885,000143: 
048886,000144:                                                                                                  #          * SCALE FACTOR *
048887,000145:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048888,000146:                                                                                                  #  --------*--------------*                         -----------------------
048889,000147:                                                                                                  #  RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
048890,000148:                                                                                                  #          * +27 FOR MOON *
048891,000149:                                                                                                  #  VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
048892,000150:                                                                                                  #          * +5 FOR MOON  *
048893,000151:                                                                                                  #  TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
048894,000152:                                                                                                  #  XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
048895,000153:                                                                                                  #          * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1153

048897,000155:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048898,000156: 
048899,000157: 
048900,000158: 
048901,000159:                                                                                                  #  DEBRIS -
048902,000160: 
048903,000161:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
048904,000162: 
048905,000163:                                                                                                  #          * SCALE FACTOR *
048906,000164:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048907,000165:                                                                                                  #  --------*--------------*                         -----------------------
048908,000166:                                                                                                  #  URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
048909,000167:                                                                                                  #  R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
048910,000168:                                                                                                  #          * +27 FOR MOON *
048911,000169:                                                                                                  #  ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
048912,000170:                                                                                                  #          * -20 FOR MOON *
048913,000171:                                                                                                  #  TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN  CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
048914,000172:                                                                                                  #          *              *TAU. OF LESS THAN ONE PERIOD.
048915,000173: 
048916,000174:                                                                                                  #       PARAMETERS OF NO USE -
048917,000175:                                                                                                  #  DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
048918,000176: 
048919,000177: 

Page 1154

048921,000179:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                                        DATE - 1 SEPTEMBER 1967
048922,000180:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
048923,000181:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
048924,000182: 
048925,000183: 
048926,000184: 
048927,000185:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048928,000186: 
048929,000187:                                                                                                  #       THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
048930,000188:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
048931,000189:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
048932,000190:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
048933,000191:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
048934,000192:                                                                                                  #  UTILIZED IN THE COMPUTATION.
048935,000193: 
048936,000194: 
048937,000195:                                                                                                  #  THE RESTRICTIONS ARE -
048938,000196:                                                                                                  #       1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
048939,000197:                                                                                                  #       2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
048940,000198:                                                                                                  #       3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048941,000199:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
048942,000200:                                                                                                  #       4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
048943,000201:                                                                                                  #       5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
048944,000202:                                                                                                  #  LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048945,000203:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
048946,000204:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                THE AGC COMPUTATION TIME IS APPROXIMATE-
048947,000205:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
048948,000206: 
048949,000207: 
048950,000208: 
048951,000209:                                                                                                  #  REFERENCES -
048952,000210:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8,
048953,000211:                                                                                                  #  SGA MEMO 67-4.
048954,000212: 
048955,000213: 
048956,000214: 
048957,000215:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048958,000216: 
048959,000217:                                                                                                  #          * SCALE FACTOR *
048960,000218:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048961,000219:                                                                                                  #  --------*--------------*                         -----------------------
048962,000220:                                                                                                  #  R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048963,000221:                                                                                                  #          * +27 FOR MOON *
048964,000222:                                                                                                  #  R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
048965,000223:                                                                                                  #          * +27 FOR MOON *
048966,000224:                                                                                                  #  TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
048967,000225:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048968,000226:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
048969,000227:                                                                                                  #  GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
048970,000228:                                                                                                  #  GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1155

048972,000230:                                                                                                  #          *              *COGA IS TO BE USED BY LAMBERT
048973,000231:                                                                                                  #  COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
048974,000232:                                                                                                  #                         *IGNORED IF GUESSW IS SET.
048975,000233:                                                                                                  #  NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
048976,000234:                                                                                                  #          *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
048977,000235:                                                                                                  #  UN      * +1           *DP UNIT  NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
048978,000236:                                                                                                  #          *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
048979,000237:                                                                                                  #  VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
048980,000238:                                                                                                  #          *              *AT R1VEC.
048981,000239:                                                                                                  #  ITERCTR * NONE         *A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
048982,000240:                                                                                                  #          *              *(AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
048983,000241:                                                                                                  #          *              *ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
048984,000242:                                                                                                  #          *              *TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
048985,000243: 
048986,000244: 
048987,000245:                                                                                                  #  SUBROUTINES CALLED -
048988,000246:                                                                                                  #       GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
048989,000247: 
048990,000248: 
048991,000249: 
048992,000250:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048993,000251: 
048994,000252:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048995,000253:                                                                                                  #  L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
048996,000254:                                                                                                  #                                  IN MPAC IF VTARGTAG WAS ZERO
048997,000255:                                                                                                  #  L+2      BON                    CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
048998,000256:                                                                                                  #  L+3             SOLNSW
048999,000257:                                                                                                  #  L+4             LAMABORT
049000,000258:                                                                                                  #       IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
049001,000259:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
049002,000260: 
049003,000261: 
049004,000262: 
049005,000263:                                                                                                  #  ABORT EXIT MODES -
049006,000264:                                                                                                  #       IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
049007,000265:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
049008,000266:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
049009,000267:                                                                                                  #  LAMABORT DLOAD    ABS                   A MEASURE OF PROXIMITY TO 0 OR
049010,000268:                                                                                                  #                    1-CSTH                360 DEGREES.
049011,000269:                                                                                                  #           DSU      BMN
049012,000270:                                                                                                  #                    ONEBIT
049013,000271:                                                                                                  #                    CHANGER2              CHANGE R2VEC DIRECTION SLIGHTLY.
049014,000272:                                                                                                  #           DLOAD    DAD
049015,000273:                                                                                                  #                    TDESIRED
049016,000274:                                                                                                  #                    SOMETIME
049017,000275:                                                                                                  #           STCALL   TDESIRED              INCREASE TDESIRED
049018,000276:                                                                                                  #                    LAMBERT
049019,000277: 
049020,000278: 

Page 1156

049022,000280:                                                                                                  #  OUTPUT -
049023,000281:                                                                                                  #          * SCALE FACTOR *
049024,000282:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049025,000283:                                                                                                  #  --------*--------------*                         -----------------------
049026,000284:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
049027,000285:                                                                                                  #          * +5 FOR MOON  *PROBLEM.
049028,000286:                                                                                                  #  VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
049029,000287:                                                                                                  #          * +5 FOR MOON  *
049030,000288:                                                                                                  #  SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
049031,000289:                                                                                                  #          *              *SOLUTION EXISTS.
049032,000290:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049033,000291: 
049034,000292: 
049035,000293: 
049036,000294:                                                                                                  #  DEBRIS -
049037,000295:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049038,000296: 
049039,000297:                                                                                                  #          * SCALE FACTOR *
049040,000298:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049041,000299:                                                                                                  #  --------*--------------*                         -----------------------
049042,000300:                                                                                                  #  SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
049043,000301:                                                                                                  #  CSTH    * +1           *DP COSINE OF ANGLE
049044,000302:                                                                                                  #  1-CSTH  * +2           *DP 1-CSTH
049045,000303:                                                                                                  #  COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
049046,000304:                                                                                                  #  P       * +4           *DP RATIO  OF SEMILATUS RECTUM TO INITIAL RADIUS
049047,000305:                                                                                                  #  R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
049048,000306:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
049049,000307:                                                                                                  #          * +27 FOR MOON *
049050,000308:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF R1VEC
049051,000309:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF R2VEC
049052,000310: 
049053,000311:                                                                                                  #       PARAMETERS OF NO USE
049054,000312:                                                                                                  #  DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP),  PLUS PUSHLIST REGISTER 0 THROUGH 41D
049055,000313:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
049056,000314: 
049057,000315: 

Page 1157

049059,000317:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                                     DATE - 1 SEPTEMBER 1967
049060,000318:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
049061,000319:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
049062,000320: 
049063,000321: 
049064,000322: 
049065,000323:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049066,000324: 
049067,000325:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
049068,000326:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049069,000327:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049070,000328:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049071,000329:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049072,000330:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049073,000331: 
049074,000332: 
049075,000333:                                                                                                  #  THE RESTRICTIONS ARE -
049076,000334:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049077,000335:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
049078,000336:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049079,000337:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049080,000338: 
049081,000339:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
049082,000340: 
049083,000341: 
049084,000342: 
049085,000343:                                                                                                  #  REFERENCES -
049086,000344:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049087,000345: 
049088,000346: 
049089,000347: 
049090,000348:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049091,000349: 
049092,000350:                                                                                                  #          * SCALE FACTOR *
049093,000351:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049094,000352:                                                                                                  #  --------*--------------*                         -----------------------
049095,000353:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049096,000354:                                                                                                  #          * +27 FOR MOON *
049097,000355:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049098,000356:                                                                                                  #          * +5 FOR MOON  *
049099,000357:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
049100,000358:                                                                                                  #  CSTH    * +1           *DP COSINE OF THE ANGLE
049101,000359:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049102,000360:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
049103,000361:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049104,000362:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
049105,000363: 
049106,000364: 
049107,000365: 
049108,000366:                                                                                                  #  SUBROUTINES CALLED -

Page 1158

049110,000368:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
049111,000369: 
049112,000370: 
049113,000371: 
049114,000372:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049115,000373: 
049116,000374:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
049117,000375:                                                                                                  #  L        SET    CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049118,000376:                                                                                                  #  L+1             RVSW
049119,000377:                                                                                                  #  L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
049120,000378:                                                                                                  #  L+3      ...                    CONTINUE
049121,000379: 
049122,000380: 
049123,000381:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049124,000382:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049125,000383:                                                                                                  #  L+1             RVSW
049126,000384:                                                                                                  #  L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049127,000385:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
049128,000386:                                                                                                  #  L+3      STOVL  NEWVVEC
049129,000387:                                                                                                  #  L+4      STADR
049130,000388:                                                                                                  #  L+5      STORE  NEWRVEC                 NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049131,000389:                                                                                                  #  L+6      ...                            CONTINUE
049132,000390: 
049133,000391: 
049134,000392: 
049135,000393:                                                                                                  #  ABORT EXIT MODES -
049136,000394:                                                                                                  #           IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
049137,000395:                                                                                                  #           AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 AND 721).
049138,000396: 
049139,000397: 
049140,000398: 
049141,000399:                                                                                                  #  OUTPUT -
049142,000400:                                                                                                  #          * SCALE FACTOR *
049143,000401:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049144,000402:                                                                                                  #  --------*--------------*                         -----------------------
049145,000403:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
049146,000404:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
049147,000405:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049148,000406:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049149,000407:                                                                                                  #          *              *CLEAR IF NOT.
049150,000408: 
049151,000409:                                                                                                  #  IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT-
049152,000410: 
049153,000411:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049154,000412:                                                                                                  #   MPAC +5* +5 FOR MOON  *
049155,000413:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049156,000414:                                                                                                  #          * +27 FOR MOON *
049157,000415: 
049158,000416:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049159,000417: 
049160,000418: 

Page 1159

049162,000420:                                                                                                  #  DEBRIS -
049163,000421: 
049164,000422:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049165,000423: 
049166,000424:                                                                                                  #          * SCALE FACTOR *
049167,000425:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049168,000426:                                                                                                  #  --------*--------------*                         -----------------------
049169,000427:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049170,000428:                                                                                                  #          * +27 FOR MOON *
049171,000429:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049172,000430:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049173,000431:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049174,000432:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
049175,000433:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
049176,000434:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
049177,000435: 
049178,000436: 
049179,000437:                                                                                                  #       PARAMETERS OF NO USE -
049180,000438:                                                                                                  #  SP PARAMETERS -  RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049181,000439:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049182,000440: 
049183,000441: 

Page 1160

049185,000443:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE                            DATE - 11 OCTOBER 1967
049186,000444:                                                                                                  #  MOD NO. -1                                                                      LOG SECTION - CONIC SUBROUTINES
049187,000445:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
049188,000446: 
049189,000447: 
049190,000448: 
049191,000449:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049192,000450: 
049193,000451:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
049194,000452:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049195,000453:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049196,000454:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049197,000455:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049198,000456:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049199,000457:                                                                                                  #       IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
049200,000458:                                                                                                  #  APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
049201,000459: 
049202,000460: 
049203,000461:                                                                                                  #  THE RESTRICTIONS ARE -
049204,000462:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049205,000463:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
049206,000464:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049207,000465:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049208,000466:                                                                                                  #       3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
049209,000467:                                                                                                  #  RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
049210,000468:                                                                                                  #  PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
049211,000469: 
049212,000470: 
049213,000471:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
049214,000472: 
049215,000473: 
049216,000474: 
049217,000475:                                                                                                  #  REFERENCES -
049218,000476:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049219,000477: 
049220,000478: 
049221,000479: 
049222,000480:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049223,000481: 
049224,000482:                                                                                                  #          * SCALE FACTOR *
049225,000483:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049226,000484:                                                                                                  #  --------*--------------*                         -----------------------
049227,000485:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049228,000486:                                                                                                  #          * +27 FOR MOON *
049229,000487:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049230,000488:                                                                                                  #          * +5 FOR MOON  *
049231,000489:                                                                                                  #  RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
049232,000490:                                                                                                  #          * +27 FOR MOON *COMPUTED.
049233,000491:                                                                                                  #  SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
049234,000492:                                                                                                  #          *              *POSITIVE OR NEGATIVE, RESPECTIVELY.  THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1161

049236,000494:                                                                                                  #          *              *SINGLE-VALUED PROBLEM.
049237,000495:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049238,000496:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
049239,000497:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049240,000498:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
049241,000499: 
049242,000500: 
049243,000501: 
049244,000502:                                                                                                  #  SUBROUTINES CALLED -
049245,000503:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
049246,000504: 
049247,000505: 
049248,000506: 
049249,000507:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049250,000508: 
049251,000509:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
049252,000510:                                                                                                  #  L        SET    CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049253,000511:                                                                                                  #  L+1             RVSW
049254,000512:                                                                                                  #  L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
049255,000513:                                                                                                  #  L+3      ...                    CONTINUE
049256,000514: 
049257,000515: 
049258,000516:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049259,000517:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049260,000518:                                                                                                  #  L+1             RVSW
049261,000519:                                                                                                  #  L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049262,000520:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
049263,000521:                                                                                                  #  L+3      STOVL  NEWVVEC
049264,000522:                                                                                                  #  L+4      STADR
049265,000523:                                                                                                  #  L+5      STORE  NEWRVEC                 NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049266,000524:                                                                                                  #  L+6      ...                            CONTINUE
049267,000525: 
049268,000526: 
049269,000527: 
049270,000528:                                                                                                  #  ABORT EXIT MODES -
049271,000529:                                                                                                  #           IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
049272,000530:                                                                                                  #           TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
049273,000531: 
049274,000532: 
049275,000533: 
049276,000534:                                                                                                  #  OUTPUT -
049277,000535:                                                                                                  #          * SCALE FACTOR *
049278,000536:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049279,000537:                                                                                                  #  --------*--------------*                         -----------------------
049280,000538:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
049281,000539:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
049282,000540:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049283,000541:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049284,000542:                                                                                                  #          *              *CLEAR IF NOT.
049285,000543:                                                                                                  #  APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1162

049287,000545:                                                                                                  #          *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
049288,000546:                                                                                                  #          *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
049289,000547:                                                                                                  #          *              *APOCENTER.
049290,000548:                                                                                                  #  SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
049291,000549:                                                                                                  #                         *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
049292,000550:                                                                                                  #                         *MINUS-18, THE SWITCH IS CLEAR.
049293,000551: 
049294,000552: 
049295,000553:                                                                                                  #  IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT-
049296,000554: 
049297,000555:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049298,000556:                                                                                                  #   MPAC +5* +5 FOR MOON  *
049299,000557:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049300,000558:                                                                                                  #          * +27 FOR MOON *
049301,000559: 
049302,000560:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049303,000561: 
049304,000562: 
049305,000563: 
049306,000564:                                                                                                  #  DEBRIS -
049307,000565: 
049308,000566:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049309,000567: 
049310,000568:                                                                                                  #          * SCALE FACTOR *
049311,000569:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049312,000570:                                                                                                  #  --------*--------------*                         -----------------------
049313,000571:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049314,000572:                                                                                                  #          * +27 FOR MOON *
049315,000573:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049316,000574:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049317,000575:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049318,000576:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
049319,000577:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
049320,000578:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
049321,000579:                                                                                                  #  CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
049322,000580:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
049323,000581: 
049324,000582: 
049325,000583:                                                                                                  #       PARAMETERS OF NO USE -
049326,000584:                                                                                                  #  SP PARAMETERS -  RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049327,000585:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049328,000586: 
049329,000587: 

Page 1163

049331,000589:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE                                        DATE - 1 SEPTEMBER 1967
049332,000590:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
049333,000591:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
049334,000592: 
049335,000593: 
049336,000594: 
049337,000595:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049338,000596: 
049339,000597:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
049340,000598:                                                                                                  #  ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
049341,000599:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049342,000600:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049343,000601:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049344,000602: 
049345,000603: 
049346,000604:                                                                                                  #  THE RESTRICTIONS ARE -
049347,000605:                                                                                                  #       1.  IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
049348,000606:                                                                                                  #  TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
049349,000607:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049350,000608:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049351,000609: 
049352,000610:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
049353,000611: 
049354,000612: 
049355,000613: 
049356,000614:                                                                                                  #  REFERENCES -
049357,000615:                                                                                                  #       MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
049358,000616: 
049359,000617: 
049360,000618: 
049361,000619:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049362,000620: 
049363,000621:                                                                                                  #          * SCALE FACTOR *
049364,000622:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049365,000623:                                                                                                  #  --------*--------------*                         -----------------------
049366,000624:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049367,000625:                                                                                                  #          * +27 FOR MOON *
049368,000626:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049369,000627:                                                                                                  #          * +5 FOR MOON  *
049370,000628:                                                                                                  #  X1 (38D)*NONE          *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049371,000629:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
049372,000630: 
049373,000631: 
049374,000632: 
049375,000633:                                                                                                  #  SUBROUTINES CALLED -
049376,000634:                                                                                                  #       PARAM, GEOM
049377,000635: 
049378,000636: 
049379,000637: 
049380,000638:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1164

049382,000640:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
049383,000641:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049384,000642:                                                                                                  #  L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
049385,000643:                                                                                                  #  L+2      STODL  APOAPSE
049386,000644:                                                                                                  #  L+3             0D
049387,000645:                                                                                                  #  L+4      STORE  PERIAPSE                APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
049388,000646:                                                                                                  #  L+5      ...                    CONTINUE
049389,000647: 
049390,000648: 
049391,000649: 
049392,000650:                                                                                                  #  OUTPUT -
049393,000651:                                                                                                  #          * SCALE FACTOR *
049394,000652:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049395,000653:                                                                                                  #  --------*--------------*                         -----------------------
049396,000654:                                                                                                  #  MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
049397,000655:                                                                                                  #          * +27 FOR MOON *
049398,000656:                                                                                                  #  0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
049399,000657:                                                                                                  #          * +27 FOR MOON *
049400,000658:                                                                                                  #  ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
049401,000659: 
049402,000660:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049403,000661: 
049404,000662: 
049405,000663: 
049406,000664:                                                                                                  #  DEBRIS -
049407,000665: 
049408,000666:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049409,000667: 
049410,000668:                                                                                                  #          * SCALE FACTOR *
049411,000669:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049412,000670:                                                                                                  #  --------*--------------*                         -----------------------
049413,000671:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049414,000672:                                                                                                  #          * +27 FOR MOON *
049415,000673:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049416,000674:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049417,000675:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049418,000676:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
049419,000677:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
049420,000678:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
049421,000679:                                                                                                  #  MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
049422,000680:                                                                                                  #          * +5 FOR MOON  *
049423,000681: 
049424,000682: 
049425,000683:                                                                                                  #       PARAMETERS OF NO USE -
049426,000684:                                                                                                  #  SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5,10D-11D, 14D-21D, 31D-38D.
049427,000685:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
049428,000686: 
049429,000687: 
049430,000688: 
049431,000689: 12,2000                                           SETLOC   CONICS                                

Page 1165

049433,000691: 12,2000                                           BANK                                           
049434,000692: 
049435,000693: 12,2023                                           COUNT*   $$/CONIC                              
049436,000694: 12,2023  E5,1721                                  EBANK=   UR1                                   
049437,000695: 12,2023           40001        KEPLERN            SETPD    BOV                                   
049438,000696: 12,2024           00001                                    0                                     
049439,000697: 12,2025           24026                                    +1                                    
049440,000698: 12,2026           77773                           VLOAD*                                         
049441,000699: 12,2027           10005                                    MUTABLE,1                             
049442,000700: 12,2030           24017                           STOVL    14D                                   
049443,000701: 12,2031           01503                                    RRECT                                 
049444,000702: 12,2032           66256                           UNIT     SSP                                   
049445,000703: 12,2033           00027                                    ITERCTR                               
049446,000704: 12,2034           00024                                    20D                                   
049447,000705: 12,2035           16647                           STODL    URRECT                                
049448,000706: 12,2036           00045                                    36D                                   
049449,000707: 12,2037           24041                           STOVL    R1                                    
049450,000708: 12,2040           01503                                    RRECT                                 
049451,000709: 12,2041           76441                           DOT      SL1R                                  
049452,000710: 12,2042           01511                                    VRECT                                 
049453,000711: 12,2043           76405                           DMP      SL1R                                  
049454,000712: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
049455,000713: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
049456,000714: 
049457,000715: 12,2046           01511                                    VRECT                                 
049458,000716: 12,2047           57236                           VSQ      DMPR                                  
049459,000717: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
049460,000718: 12,2051           52405                           DMP      SL3                                   
049461,000719: 12,2052           00041                                    R1                                    
049462,000720: 12,2053           61425                           DSU      ROUND                                 
049463,000721: 12,2054           11007                                    D1/64                                 
049464,000722: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
049465,000723: 
049466,000724: 12,2056           74421                           BDSU     SR1R                                  
049467,000725: 12,2057           11007                                    D1/64                                 
049468,000726: 12,2060           77671                           DDV                                            
049469,000727: 12,2061           00041                                    R1                                    
049470,000728: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
049471,000729: 
049472,000730: 
049473,000731: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
049474,000732: 12,2064           24073                                    1REV                                  
049475,000733: 12,2065           11025                                    -50SC                                 #  -50SC (+12)
049476,000734: 12,2066           40071                           DDV      BOV                                   
049477,000735: 12,2067           00011                                    ALPHA                                 
049478,000736: 12,2070           24077                                    STOREMAX                              
049479,000737: 12,2071           52166                           SQRT     GOTO                                  
049480,000738: 12,2072           24077                                    STOREMAX                              
049481,000739: 
049482,000740: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1166

049484,000742: 12,2074           11027                                    2PISC                                 #  2PISC (+6)
049485,000743: 12,2075           77600                           BOV                                            
049486,000744: 12,2076           24077                                    STOREMAX                              
049487,000745: 12,2077           00013        STOREMAX           STORE    XMAX                                  
049488,000746: 12,2100           65205                           DMP      PDDL                                  
049489,000747: 12,2101           00023                                    1/ROOTMU                              
049490,000748: 12,2102           00011                                    ALPHA                                 
049491,000749: 12,2103           65301                           NORM     PDDL                                  
049492,000750: 12,2104           00047                                    X1                                    
049493,000751: 12,2105           56257                           SL*      DDV                                   
049494,000752: 12,2106           20173                                    0          -6,1                       
049495,000753: 12,2107           50000                           BOV      BMN                                   
049496,000754: 12,2110           24124                                    MODDONE                               
049497,000755: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
049498,000756: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
049499,000757: 12,2113           02074                                    TAU.                                  
049500,000758: 12,2114           50025                           DSU      BMN                                   
049501,000759: 12,2115           00001                                    0D                                    
049502,000760: 12,2116           24124                                    MODDONE                               
049503,000761: 12,2117           77765                           SIGN                                           
049504,000762: 12,2120           02074                                    TAU.                                  
049505,000763: 12,2121           16074                           STODL    TAU.                                  
049506,000764: 12,2122           77650                           GOTO                                           
049507,000765: 12,2123           24112                                    PERIODCH                              
049508,000766: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
049509,000767: 12,2125           00001                                    0                                     
049510,000768: 12,2126           02130                                    XKEPNEW                               
049511,000769: 12,2127           00025                           STORE    X                                     
049512,000770: 12,2130           53165                           SIGN     BZE                                   
049513,000771: 12,2131           02074                                    TAU.                                  
049514,000772: 12,2132           24302                                    BADX                                  
049515,000773: 12,2133           51440                           BMN      ABS                                   
049516,000774: 12,2134           24302                                    BADX                                  
049517,000775: 12,2135           51025                           DSU      BPL                                   
049518,000776: 12,2136           00013                                    XMAX                                  
049519,000777: 12,2137           24302                                    BADX                                  
049520,000778: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
049521,000779: 12,2141           02074                                    TAU.                                  
049522,000780: 12,2142           24152                                    STOREMIN                              
049523,000781: 12,2143           57545                           DLOAD    DCOMP                                 
049524,000782: 12,2144           00013                                    XMAX                                  
049525,000783: 12,2145           14015                           STODL    XMIN                                  
049526,000784: 12,2146           24007                                    KEPZERO                               
049527,000785: 12,2147           00013                           STORE    XMAX                                  
049528,000786: 12,2150           77650                           GOTO                                           
049529,000787: 12,2151           24155                                    DXCOMP                                
049530,000788: 12,2152           77745        STOREMIN           DLOAD                                          
049531,000789: 12,2153           24007                                    KEPZERO                               
049532,000790: 12,2154           00015                           STORE    XMIN                                  
049533,000791: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1167

049535,000793: 12,2156           02074                                    TAU.                                  
049536,000794: 12,2157           11020                                    BEE22                                 
049537,000795: 12,2160           77646                           ABS                                            
049538,000796: 12,2161           16177                           STODL    EPSILONT                              
049539,000797: 12,2162           01553                                    XPREV                                 
049540,000798: 12,2163           77621        XDIFF              BDSU                                           
049541,000799: 12,2164           00025                                    X                                     
049542,000800: 12,2165           02643                           STORE    DELX                                  
049543,000801: 
049544,000802: 
049545,000803: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
049546,000804: 12,2167           00025                                    X                                     #  X=XKEP
049547,000805: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)      PL AT 2
049548,000806: 12,2171           00047                                    X1                                    
049549,000807: 12,2172           53605                           DMP      SRR*                                  
049550,000808: 12,2173           00011                                    ALPHA                                 
049551,000809: 12,2174           21573                                    0          -6,1                       
049552,000810: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
049553,000811: 12,2176           24421                                    DELTIME                               
049554,000812: 12,2177           44200                           BOV      BDSU                                  
049555,000813: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
049556,000814: 12,2201           02074                                    TAU.                                  
049557,000815: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
049558,000816: 12,2203           44246                           ABS      BDSU                                  
049559,000817: 12,2204           02177                                    EPSILONT                              
049560,000818: 12,2205           71244                           BPL      DLOAD                                 
049561,000819: 12,2206           24333                                    KEPCONVG                              
049562,000820: 12,2207           00037                                    T                                     
049563,000821: 12,2210           60225                           DSU      NORM                                  
049564,000822: 12,2211           01551                                    TC                                    
049565,000823: 12,2212           00047                                    X1                                    
049566,000824: 12,2213           60325                           PDDL     NORM                                  
049567,000825: 12,2214           02643                                    DELX                                  
049568,000826: 12,2215           00050                                    X2                                    
049569,000827: 12,2216           41260                           XSU,1    DMP                                   
049570,000828: 12,2217           00047                                    X2                                    
049571,000829: 12,2220           02645                                    DELT                                  
049572,000830: 12,2221           56257                           SLR*     DDV                                   
049573,000831: 12,2222           21202                                    1,1                                   
049574,000832: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX                PL AT 2
049575,000833: 12,2224           71244                           BPL      DLOAD                                 
049576,000834: 12,2225           24246                                    POSDELX                               
049577,000835: 12,2226           00025                                    X                                     
049578,000836: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
049579,000837: 12,2230           45221                           BDSU     DSU                                   #                               PL AT 0
049580,000838: 12,2231           00015                                    XMIN                                  
049581,000839: 12,2232           51000                           BOV      BPL                                   
049582,000840: 12,2233           24240                                    NDXCHNGE                              
049583,000841: 12,2234           24240                                    NDXCHNGE                              
049584,000842: 12,2235           52145                           DLOAD    GOTO                                  

Page 1168

049586,000844: 12,2236           00001                                    0D                                    
049587,000845: 12,2237           24260                                    NEWDELX                               
049588,000846: 
049589,000847: 
049590,000848: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
049591,000849: 12,2241           00015                                    XMIN                                  
049592,000850: 12,2242           00025                                    X                                     
049593,000851: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049594,000852: 12,2244           11023                                    DP9/10                                
049595,000853: 12,2245           24260                                    NEWDELX                               
049596,000854: 
049597,000855: 
049598,000856: 12,2246           77745        POSDELX            DLOAD                                          
049599,000857: 12,2247           00025                                    X                                     
049600,000858: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
049601,000859: 12,2251           45221                           BDSU     DSU                                   #                               PL AT 0
049602,000860: 12,2252           00013                                    XMAX                                  
049603,000861: 12,2253           50000                           BOV      BMN                                   
049604,000862: 12,2254           24274                                    PDXCHNGE                              
049605,000863: 12,2255           24274                                    PDXCHNGE                              
049606,000864: 12,2256           77745                           DLOAD                                          
049607,000865: 12,2257           00001                                    0D                                    
049608,000866: 12,2260           02643        NEWDELX            STORE    DELX                                  
049609,000867: 12,2261           43254                           BZE      DAD                                   
049610,000868: 12,2262           24333                                    KEPCONVG                              
049611,000869: 12,2263           00025                                    X                                     
049612,000870: 12,2264           14025                           STODL    X                                     
049613,000871: 12,2265           00037                                    T                                     
049614,000872: 12,2266           01551                           STORE    TC                                    
049615,000873: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
049616,000874: 12,2270           24644                                    CHECKCTR                              
049617,000875: 12,2271           24333                                    KEPCONVG                              
049618,000876: 12,2272           77650                           GOTO                                           
049619,000877: 12,2273           24166                                    KEPLOOP                               #  ITERATE
049620,000878: 
049621,000879: 
049622,000880: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
049623,000881: 12,2275           00013                                    XMAX                                  
049624,000882: 12,2276           00025                                    X                                     
049625,000883: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049626,000884: 12,2300           11023                                    DP9/10                                
049627,000885: 12,2301           24260                                    NEWDELX                               
049628,000886: 
049629,000887: 
049630,000888: 12,2302           70545        BADX               DLOAD    SR1                                   
049631,000889: 12,2303           00013                                    XMAX                                  
049632,000890: 12,2304           77765                           SIGN                                           
049633,000891: 12,2305           02074                                    TAU.                                  
049634,000892: 12,2306           00025                           STORE    X                                     
049635,000893: 12,2307           77650                           GOTO                                           

Page 1169

049637,000895: 12,2310           24140                                    STORBNDS                              
049638,000896: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
049639,000897: 12,2312           00025                                    X                                     
049640,000898: 12,2313           24330                                    NEGTOVFL                              
049641,000899: 12,2314           00013                           STORE    XMAX                                  
049642,000900: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
049643,000901: 12,2316           02643                                    DELX                                  
049644,000902: 12,2317           02643                           STORE    DELX                                  
049645,000903: 12,2320           44254                           BZE      BDSU                                  
049646,000904: 12,2321           02112                                    KEPRTN                                
049647,000905: 12,2322           00025                                    X                                     
049648,000906: 12,2323           14025                           STODL    X                                     
049649,000907: 12,2324           01551                                    TC                                    
049650,000908: 12,2325           00037                           STORE    T                                     
049651,000909: 12,2326           77650                           GOTO                                           
049652,000910: 12,2327           24267                                    BRNCHCTR                              
049653,000911: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
049654,000912: 12,2331           77650                           GOTO                                           
049655,000913: 12,2332           24315                                    CMNTOVFL                              
049656,000914: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
049657,000915: 12,2334           00041                                    R1                                    
049658,000916: 12,2335           74225                           DSU      VXSC                                  
049659,000917: 12,2336           00035                                    XSQC(XI)                              
049660,000918: 12,2337           02647                                    URRECT                                
049661,000919: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
049662,000920: 12,2341           00025                                    X                                     
049663,000921: 12,2342           60316                           DSQ      NORM                                  
049664,000922: 12,2343           00047                                    X1                                    
049665,000923: 12,2344           57275                           DMPR     DMPR                                  
049666,000924: 12,2345           00023                                    1/ROOTMU                              
049667,000925: 12,2346           00025                                    X                                     
049668,000926: 12,2347           53605                           DMP      SRR*                                  
049669,000927: 12,2350           00033                                    S(XI)                                 
049670,000928: 12,2351           21572                                    0          -7,1                       
049671,000929: 12,2352           77621                           BDSU                                           
049672,000930: 12,2353           00037                                    T                                     
049673,000931: 12,2354           74352                           SL1      VXSC                                  
049674,000932: 12,2355           01511                                    VRECT                                 
049675,000933: 12,2356           53372                           VSL1     VAD                                   #                               PL AT 0
049676,000934: 12,2357           77712                           VSL4                                           
049677,000935: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
049678,000936: 
049679,000937: 
049680,000938: 12,2361           60246                           ABVAL    NORM                                  
049681,000939: 12,2362           00050                                    X2                                    
049682,000940: 12,2363           14043                           STODL    RCNORM                                
049683,000941: 12,2364           00031                                    XI                                    
049684,000942: 12,2365           45275                           DMPR     DSU                                   
049685,000943: 12,2366           00033                                    S(XI)                                 
049686,000944: 12,2367           11005                                    D1/128                                

Page 1170

049688,000946: 12,2370           76405                           DMP      SL1R                                  
049689,000947: 12,2371           00021                                    ROOTMU                                
049690,000948: 12,2372           53605                           DMP      SLR*                                  
049691,000949: 12,2373           00025                                    X                                     
049692,000950: 12,2374           56601                                    0          -3,2                       
049693,000951: 12,2375           74271                           DDV      VXSC                                  
049694,000952: 12,2376           00043                                    RCNORM                                
049695,000953: 12,2377           02647                                    URRECT                                
049696,000954: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
049697,000955: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                        PL AT 6
049698,000956: 12,2402           56257                           SLR*     DDV                                   
049699,000957: 12,2403           56602                                    0          -4,2                       
049700,000958: 12,2404           00043                                    RCNORM                                
049701,000959: 12,2405           74221                           BDSU     VXSC                                  
049702,000960: 12,2406           11021                                    D1/256                                
049703,000961: 12,2407           01511                                    VRECT                                 
049704,000962: 12,2410           42455                           VAD      VSL8                                  #                               PL AT 0
049705,000963: 12,2411           77626                           STADR                                          
049706,000964: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
049707,000965: 12,2413           00037                                    T                                     
049708,000966: 12,2414           15551                           STODL    TC                                    
049709,000967: 12,2415           00025                                    X                                     
049710,000968: 12,2416           01553                           STORE    XPREV                                 
049711,000969: 12,2417           77650                           GOTO                                           
049712,000970: 12,2420           02112                                    KEPRTN                                
049713,000971: 

Page 1171

049715,000973: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
049716,000974: 12,2422           07225                           TC       POLY                                  
049717,000975: 12,2423           00010                           DEC      8          B-14                       
049718,000976: 12,2424           02525 12526                     2DEC     .083333334                            
049719,000977: 
049720,000978: 12,2426           67356 75666                     2DEC     -.266666684                            
049721,000979: 
049722,000980: 12,2430           15001 23771                     2DEC     .406349155                            
049723,000981: 
049724,000982: 12,2432           64342 43674                     2DEC     -.361198675                            
049725,000983: 
049726,000984: 12,2434           06563 04645                     2DEC     .210153242                            
049727,000985: 
049728,000986: 12,2436           75173 52672                     2DEC     -.086221951                            
049729,000987: 
049730,000988: 12,2440           00656 14331                     2DEC     .026268812                            
049731,000989: 
049732,000990: 12,2442           77633 40512                     2DEC     -.006163316                            
049733,000991: 
049734,000992: 12,2444           00023 11210                     2DEC     .001177342                            
049735,000993: 
049736,000994: 12,2446           77774 67506                     2DEC     -.000199055                            
049737,000995: 
049738,000996: 12,2450           06042                           TC       INTPRET                               
049739,000997: 12,2451           14033                           STODL    S(XI)                                 
049740,000998: 12,2452           00031                                    XI                                    
049741,000999: 12,2453           77776                           EXIT                                           
049742,001000: 12,2454           07225                           TC       POLY                                  
049743,001001: 12,2455           00010                           DEC      8          B-14                       
049744,001002: 12,2456           01000 00000                     2DEC     .031250001                            
049745,001003: 
049746,001004: 12,2460           72525 52506                     2DEC     -.166666719                            
049747,001005: 
049748,001006: 12,2462           13301 15337                     2DEC     .355555413                            
049749,001007: 
049750,001008: 12,2464           62776 54733                     2DEC     -.406347410                            
049751,001009: 
049752,001010: 12,2466           11176 13267                     2DEC     .288962094                            
049753,001011: 
049754,001012: 12,2470           73410 51674                     2DEC     -.140117894                            
049755,001013: 
049756,001014: 12,2472           01446 33641                     2DEC     .049247387                            
049757,001015: 
049758,001016: 12,2474           77451 65233                     2DEC     -.013081923                            
049759,001017: 
049760,001018: 12,2476           00055 37266                     2DEC     .002806389                            
049761,001019: 
049762,001020: 12,2500           77767 52336                     2DEC     -.000529414                            
049763,001021: 
049764,001022: 12,2502           06042                           TC       INTPRET                               

Page 1172

049766,001024: 12,2503           53605                           DMP      SRR*                                  #                               PL AT 0
049767,001025: 12,2504           00001                                    0D                                    
049768,001026: 12,2505           21574                                    0          -5,1                       
049769,001027: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
049770,001028: 12,2507           72405                           DMP      SL1                                   
049771,001029: 12,2510           00043                                    KEPC1                                 
049772,001030: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
049773,001031: 12,2512           21634                                    TPMODE                                #                               PL AT 0,3
049774,001032: 12,2513           53605                           DMP      SRR*                                  
049775,001033: 12,2514           00033                                    S(XI)                                 
049776,001034: 12,2515           21574                                    0          -5,1                       
049777,001035: 12,2516           72405                           DMP      SL1                                   
049778,001036: 12,2517           00045                                    KEPC2                                 
049779,001037: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
049780,001038: 12,2521           21634                                    TPMODE                                
049781,001039: 12,2522           00041                                    R1                                    
049782,001040: 12,2523           76261                           SR       TAD                                   #                               PL AT 3
049783,001041: 12,2524           20607                                    6                                     
049784,001042: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
049785,001043: 12,2526           00047                                    X1                                    
049786,001044: 12,2527           00025                                    X                                     
049787,001045: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46) PL AT 0
049788,001046: 12,2531           20576                                    0          -3,1                       
049789,001047: 12,2532           57232                           SL4R     DMPR                                  
049790,001048: 12,2533           00023                                    1/ROOTMU                              
049791,001049: 12,2534           00037                           STORE    T                                     
049792,001050: 12,2535           77616                           RVQ                                            
049793,001051: 

Page 1173

049795,001053: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
049796,001054: 12,2537           00614                                    SLOPESW                               
049797,001055: 12,2540           24606                                    FIRSTIME                              
049798,001056: 12,2541           00037                                    DEP                                   
049799,001057: 12,2542           60225                           DSU      NORM                                  
049800,001058: 12,2543           02762                                    DEPREV                                
049801,001059: 12,2544           00047                                    X1                                    
049802,001060: 12,2545           60325                           PDDL     NORM                                  
049803,001061: 12,2546           00015                                    DELINDEP                              
049804,001062: 12,2547           00050                                    X2                                    
049805,001063: 12,2550           41260                           XSU,1    DMP                                   
049806,001064: 12,2551           00047                                    X2                                    
049807,001065: 12,2552           02760                                    DELDEP                                
049808,001066: 12,2553           56257                           SLR*     DDV                                   #                               PL UP 2
049809,001067: 12,2554           21202                                    1,1                                   
049810,001068: 12,2555           43142                           SR1      BOFF                                  
049811,001069: 12,2556           04351                                    ORDERSW                               
049812,001070: 12,2557           24562                                    SGNCHECK                              
049813,001071: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
049814,001072: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
049815,001073: 
049816,001074: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP               PL DOWN 2
049817,001075: 12,2563           24620                                    POSDEL                                
049818,001076: 12,2564           43145                           DLOAD    BON                                   
049819,001077: 12,2565           02766                                    INDEP                                 
049820,001078: 12,2566           04311                                    ORDERSW                               
049821,001079: 12,2567           24571                                    MINCHECK                              
049822,001080: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
049823,001081: 
049824,001082: 12,2571           45221        MINCHECK           BDSU     DSU                                   
049825,001083: 12,2572           00011                                    MIN                                   
049826,001084: 12,2573           51000                           BOV      BPL                                   
049827,001085: 12,2574           24600                                    MODNGDEL                              
049828,001086: 12,2575           24600                                    MODNGDEL                              
049829,001087: 12,2576           77650                           GOTO                                           
049830,001088: 12,2577           24632                                    DELOK                                 
049831,001089: 
049832,001090: 
049833,001091: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
049834,001092: 12,2601           00011                                    MIN                                   
049835,001093: 12,2602           02766                                    INDEP                                 
049836,001094: 12,2603           52005                           DMP      GOTO                                  
049837,001095: 12,2604           11023                                    DP9/10                                
049838,001096: 12,2605           24634                                    NEWDEL                                
049839,001097: 
049840,001098: 
049841,001099: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
049842,001100: 12,2607           00011                                    MIN                                   
049843,001101: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
049844,001102: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1174

049846,001104: 12,2612           00017                                    MAX                                   
049847,001105: 12,2613           00051                                    TWEEKIT                               
049848,001106: 12,2614           77625                           DSU                                            
049849,001107: 12,2615           52165                           SIGN     GOTO                                  
049850,001108: 12,2616           02760                                    DELDEP                                
049851,001109: 12,2617           24562                                    SGNCHECK                              
049852,001110: 
049853,001111: 
049854,001112: 12,2620           43145        POSDEL             DLOAD    BON                                   
049855,001113: 12,2621           02766                                    INDEP                                 
049856,001114: 12,2622           04311                                    ORDERSW                               
049857,001115: 12,2623           24625                                    MAXCHECK                              
049858,001116: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
049859,001117: 
049860,001118: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
049861,001119: 12,2626           00017                                    MAX                                   
049862,001120: 12,2627           50000                           BOV      BMN                                   
049863,001121: 12,2630           24636                                    MODPSDEL                              
049864,001122: 12,2631           24636                                    MODPSDEL                              
049865,001123: 12,2632           77745        DELOK              DLOAD                                          
049866,001124: 12,2633           00001                                    0D                                    
049867,001125: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
049868,001126: 12,2635           77616                           RVQ                                            
049869,001127: 
049870,001128: 
049871,001129: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
049872,001130: 12,2637           00017                                    MAX                                   
049873,001131: 12,2640           02766                                    INDEP                                 
049874,001132: 12,2641           52005                           DMP      GOTO                                  
049875,001133: 12,2642           11023                                    DP9/10                                
049876,001134: 12,2643           24634                                    NEWDEL                                
049877,001135: 
049878,001136: 
049879,001137: 12,2644           44753        CHECKCTR           CS       ONE                                   
049880,001138: 12,2645           50120                           INDEX    FIXLOC                                
049881,001139: 12,2646           60026                           AD       ITERCTR                               
049882,001140: 12,2647           50120                           INDEX    FIXLOC                                
049883,001141: 12,2650           54026                           TS       ITERCTR                               
049884,001142: 12,2651           54154                           TS       MPAC                                  
049885,001143: 12,2652           06064                           TC       DANZIG                                
049886,001144: 

Page 1175

049888,001146: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
049889,001147: 12,2654           00041                                    R1                                    
049890,001148: 12,2655           74225                           DSU      VXSC                                  
049891,001149: 12,2656           00035                                    XSQC(XI)                              
049892,001150: 12,2657           02722                                    UR1                                   
049893,001151: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
049894,001152: 12,2661           00025                                    X                                     
049895,001153: 12,2662           60316                           DSQ      NORM                                  
049896,001154: 12,2663           00047                                    X1                                    
049897,001155: 12,2664           57275                           DMPR     DMPR                                  
049898,001156: 12,2665           00023                                    1/ROOTMU                              
049899,001157: 12,2666           00025                                    X                                     
049900,001158: 12,2667           53605                           DMP      SRR*                                  
049901,001159: 12,2670           00033                                    S(XI)                                 
049902,001160: 12,2671           21572                                    0          -7,1                       
049903,001161: 12,2672           77621                           BDSU                                           
049904,001162: 12,2673           00037                                    T                                     
049905,001163: 12,2674           74352                           SL1      VXSC                                  
049906,001164: 12,2675           02744                                    VVEC                                  
049907,001165: 12,2676           53372                           VSL1     VAD                                   #                               PL AT 0
049908,001166: 12,2677           41512                           VSL4     PUSH                                  
049909,001167: 12,2700           77646                           ABVAL                                          
049910,001168: 12,2701           77701        LAMENTER           NORM                                           
049911,001169: 12,2702           00047                                    X1                                    
049912,001170: 12,2703           16720                           STODL    R2                                    
049913,001171: 12,2704           00031                                    XI                                    
049914,001172: 12,2705           45205                           DMP      DSU                                   
049915,001173: 12,2706           00033                                    S(XI)                                 
049916,001174: 12,2707           11005                                    D1/128                                
049917,001175: 12,2710           76405                           DMP      SL1R                                  
049918,001176: 12,2711           00021                                    ROOTMU                                
049919,001177: 12,2712           53605                           DMP      SLR*                                  
049920,001178: 12,2713           00025                                    X                                     
049921,001179: 12,2714           21176                                    0          -3,1                       
049922,001180: 12,2715           74271                           DDV      VXSC                                  
049923,001181: 12,2716           02720                                    R2                                    
049924,001182: 12,2717           02722                                    UR1                                   
049925,001183: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)       PL AT 12
049926,001184: 12,2721           00035                                    XSQC(XI)                              
049927,001185: 12,2722           56257                           SLR*     DDV                                   
049928,001186: 12,2723           21175                                    0          -4,1                       
049929,001187: 12,2724           02720                                    R2                                    
049930,001188: 12,2725           77621                           BDSU                                           
049931,001189: 12,2726           11021                                    D1/256                                
049932,001190: 12,2727           53361                           VXSC     VAD                                   
049933,001191: 12,2730           02744                                    VVEC                                  #                               PL AT 6
049934,001192: 12,2731           43412                           VSL8     RVQ                                   
049935,001193: 

Page 1176

049937,001195: 04,2000                                           SETLOC   CONICS1                               
049938,001196: 04,2000                                           BANK                                           
049939,001197: 
049940,001198: 04,3001                                           COUNT*   $$/CONIC                              
049941,001199:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
049942,001200: 04,3001           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
049943,001201: 04,3002           04000 00000  D1/8               2DEC     1.0        B-3                        
049944,001202: 
049945,001203: 04,3004           00200 00000  D1/128             2DEC     1.0        B-7                        
049946,001204: 
049947,001205: 04,3006           00400 00000  D1/64              2DEC     1.0        B-6                        
049948,001206: 
049949,001207: 04,3010           10000 00000  D1/4               2DEC     1.0        B-2                        
049950,001208: 
049951,001209: 04,3012           02000 00000  D1/16              2DEC     1.0        B-4                        
049952,001210: 
049953,001211: 04,3014           01000 00000  D1/32              2DEC     1.0        B-5                        
049954,001212: 
049955,001213: 04,3016           00020 00000  D1/1024            2DEC     1.0        B-10                       
049956,001214: 
049957,001215: 04,3020           00100 00000  D1/256             2DEC     1.0        B-8                        
049958,001216: 
049959,001217: 04,3022           34631 23146  DP9/10             2DEC     .9                                    
049960,001218: 
049961,001219: 04,3024  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
049962,001220: 04,3024           77467 77777  -50SC              2DEC     -50.0      B-12                       
049963,001221: 
049964,001222: 04,3026           03110 17665  2PISC              2DEC     6.28318530 B-6                        
049965,001223: 
049966,001224: 04,3030  04,3013               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
049967,001225: 04,3030  04,3017               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
049968,001226: 04,3030           00000 00001  ONEBIT             2DEC     1.0        B-28                       
049969,001227: 
049970,001228: 04,3032           37767 37737  COGUPLIM           2DEC     .999511597                            
049971,001229: 
049972,001230: 04,3034           40010 40040  COGLOLIM           2DEC     -.999511597                            
049973,001231: 
049974,001232: 

Page 1177

049976,001234: 12,2000                                           SETLOC   CONICS                                
049977,001235: 12,2000                                           BANK                                           
049978,001236: 
049979,001237: 12,2732                                           COUNT*   $$/CONIC                              
049980,001238: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                               PL AT 0
049981,001239: 12,2733           02710                                    RTNTT                                 
049982,001240: 12,2734           00001                                    0                                     
049983,001241: 12,2735           77600                           BOV                                            
049984,001242: 12,2736           24737                                    +1                                    
049985,001243: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL         PL AT 6
049986,001244: 12,2740           02655                                    RVEC                                  
049987,001245: 12,2741           02744                                    VVEC                                  
049988,001246: 12,2742           77624                           CALL                                           
049989,001247: 12,2743           11036                                    PARAM                                 
049990,001248: 12,2744           45000                           BOV      CALL                                  #                               PL AT 0
049991,001249: 12,2745           24764                                    COGAOVFL                              
049992,001250: 12,2746           24767                                    GETX                                  
049993,001251: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
049994,001252: 12,2750           00031                                    XI                                    
049995,001253: 12,2751           04310                                    INFINFLG                              
049996,001254: 12,2752           25752                                    ABTCONIC                              
049997,001255: 12,2753           45014                           CLEAR    CALL                                  
049998,001256: 12,2754           04273                                    COGAFLAG                              
049999,001257: 12,2755           24421                                    DELTIME                               
050000,001258: 12,2756           45014                           BON      CALL                                  
050001,001259: 12,2757           03706                                    RVSW                                  
050002,001260: 12,2760           02710                                    RTNTT                                 
050003,001261: 12,2761           24653                                    NEWSTATE                              
050004,001262: 12,2762           77650                           GOTO                                           
050005,001263: 12,2763           02710                                    RTNTT                                 
050006,001264: 
050007,001265: 
050008,001266: 12,2764           77614        COGAOVFL           SETGO                                          
050009,001267: 12,2765           04033                                    COGAFLAG                              
050010,001268: 12,2766           25752                                    ABTCONIC                              
050011,001269: 04,3036                                           BANK     4                                     
050012,001270: 04,2000                                           SETLOC   CONICS1                               
050013,001271: 04,2000                                           BANK                                           
050014,001272: 04,3036                                           COUNT*   $$/CONIC                              
050015,001273: 04,3036           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC         PL AT 6
050016,001274: 04,3037           02753                                    RTNPRM                                
050017,001275: 04,3040           03665                                    NORMSW                                
050018,001276: 04,3041           77614                           CLEAR                                          
050019,001277: 04,3042           04273                                    COGAFLAG                              
050020,001278: 04,3043           45131                           SSP      CALL                                  
050021,001279: 04,3044           02673                                    GEOMSGN                               
050022,001280: 04,3045           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
050023,001281: 04,3046           11102                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1) PL AT 2
050024,001282: 04,3047           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)           PL AT 0
050025,001283: 04,3050           56261                           SR       DDV                                   

Page 1178

050027,001285: 04,3051           20606                                    5                                     
050028,001286: 
050029,001287: 04,3052           00045                                    36D                                   
050030,001288: 04,3053           32766                           STOVL*   COGA                                  
050031,001289: 04,3054           10005                                    MUTABLE,1                             
050032,001290: 04,3055           14017                           STODL    1/MU                                  
050033,001291: 04,3056           02720                                    MAGVEC2                               
050034,001292: 04,3057           60316                           DSQ      NORM                                  
050035,001293: 04,3060           00047                                    X1                                    
050036,001294: 04,3061           41275                           DMPR     DMP                                   
050037,001295: 04,3062           00017                                    1/MU                                  
050038,001296: 04,3063           00041                                    R1                                    
050039,001297: 04,3064           77657                           SRR*                                           
050040,001298: 04,3065           21576                                    0          -3,1                       
050041,001299: 04,3066           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)           PL AT 2
050042,001300: 04,3067           11015                                    D1/32                                 
050043,001301: 04,3070           16742                           STODL    R1A                                   #  R1A (+6)                     PL AT 0
050044,001302: 
050045,001303: 04,3071           60205                           DMP      NORM                                  
050046,001304: 04,3072           00045                                    36D                                   
050047,001305: 04,3073           00047                                    X1                                    
050048,001306: 04,3074           53605                           DMP      SR*                                   
050049,001307: 04,3075           00045                                    36D                                   
050050,001308: 04,3076           20575                                    0          -4,1                       
050051,001309: 04,3077           02740                           STORE    P                                     #  P (+4)
050052,001310: 04,3100           77650                           GOTO                                           
050053,001311: 04,3101           02753                                    RTNPRM                                
050054,001312: 

Page 1179

050056,001314: 04,3102           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC         PL AT 6
050057,001315: 04,3103           16712                           STODL    U2                                    #  U2 (+1)
050058,001316: 04,3104           00045                                    36D                                   
050059,001317: 04,3105           26720                           STOVL    MAGVEC2                               #                               PL AT 0
050060,001318: 04,3106           77656                           UNIT                                           
050061,001319: 04,3107           02722                           STORE    UR1                                   #  UR1 (+1)
050062,001320: 04,3110           72441                           DOT      SL1                                   
050063,001321: 04,3111           02712                                    U2                                    
050064,001322: 04,3112           77725                           PDDL                                           #  OD=CSTH (+1)                 PL AT 2
050065,001323: 04,3113           00045                                    36D                                   
050066,001324: 04,3114           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
050067,001325: 04,3115           02722                                    UR1                                   
050068,001326: 04,3116           76435                           VXV      VSL1                                  
050069,001327: 04,3117           02712                                    U2                                    
050070,001328: 04,3120           75214                           BON      SIGN                                  
050071,001329: 04,3121           03705                                    NORMSW                                
050072,001330: 04,3122           11134                                    HAVENORM                              
050073,001331: 04,3123           02673                                    GEOMSGN                               
050074,001332: 04,3124           40056                           UNIT     BOV                                   
050075,001333: 04,3125           11132                                    COLINEAR                              
050076,001334: 04,3126           16674        UNITNORM           STODL    UN                                    #  UN (+1)
050077,001335: 04,3127           00045                                    36D                                   
050078,001336: 04,3130           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
050079,001337: 04,3131           02673                                    GEOMSGN                               
050080,001338: 
050081,001339: 
050082,001340: 04,3132           52162        COLINEAR           VSR1     GOTO                                  
050083,001341: 04,3133           11126                                    UNITNORM                              
050084,001342: 
050085,001343: 
050086,001344: 04,3134           75246        HAVENORM           ABVAL    SIGN                                  
050087,001345: 04,3135           02673                                    GEOMSGN                               
050088,001346: 04,3136           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
050089,001347: 

Page 1180

050091,001349: 12,2767                                           BANK     12                                    
050092,001350: 12,2000                                           SETLOC   CONICS                                
050093,001351: 12,2000                                           BANK                                           
050094,001352: 
050095,001353: 12,2767                                           COUNT*   $$/CONIC                              
050096,001354: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
050097,001355: 12,2770           00003                                    3                                     
050098,001356: 12,2771           00052                                    S2                                    
050099,001357: 12,2772           00001                                    1                                     
050100,001358: 12,2773           77614                           CLEAR                                          
050101,001359: 12,2774           04276                                    360SW                                 
050102,001360: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                       PL AT 2
050103,001361: 12,2776           02732                                    CSTH                                  
050104,001362: 12,2777           44342                           SR1      BDSU                                  
050105,001363: 12,3000           11011                                    D1/4                                  
050106,001364: 12,3001           54325                           PDDL     SRR                                   #                               PL AT 4D
050107,001365: 12,3002           02730                                    SNTH                                  
050108,001366: 12,3003           21607                                    6                                     
050109,001367: 12,3004           77671                           DDV                                            #                               PL AT 2
050110,001368: 12,3005           77600                           BOV                                            
050111,001369: 12,3006           25122                                    360CHECK                              
050112,001370: 12,3007           41225                           DSU      DMP                                   
050113,001371: 12,3010           02766                                    COGA                                  #                                   PL AT 0
050114,001372: 12,3011           40132                           SL2R     BOV                                   
050115,001373: 12,3012           25122                                    360CHECK                              
050116,001374: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                        PL AT 2
050117,001375: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                     PL AT 5
050118,001376: 12,3015           00155                                    MPAC                                  
050119,001377: 12,3016           02742                                    R1A                                   
050120,001378: 12,3017           76202                           SR4      TAD                                   #                               PL AT 2
050121,001379: 12,3020           75440                           BMN      SQRT                                  
050122,001380: 12,3021           25205                                    INFINITY                              
050123,001381: 12,3022           43306                           ROUND    DAD                                   #                               PL AT 0D
050124,001382: 12,3023           61000                           BOV      TIX,2                                 
050125,001383: 12,3024           25120                                    RESETX2                               
050126,001384: 12,3025           25013                                    WLOOP                                 
050127,001385: 
050128,001386: 
050129,001387: 12,3026           40065                           BDDV     BOV                                   
050130,001388: 12,3027           11005                                    D1/128                                
050131,001389: 12,3030           25205                                    INFINITY                              
050132,001390: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)     PL AT 2
050133,001391: 12,3032           25205                                    INFINITY                              
050134,001392: 12,3033           77716                           DSQ                                            
050135,001393: 12,3034           41301                           NORM     DMP                                   
050136,001394: 12,3035           00047                                    X1                                    
050137,001395: 12,3036           02742                                    R1A                                   
050138,001396: 12,3037           77457                           SRR*     EXIT                                  
050139,001397: 12,3040           21567                                    0          -10D,1                     
050140,001398: 12,3041           07225                           TC       POLY                                  

Page 1181

050142,001400: 12,3042           00005                           DEC      5          B-14                       
050143,001401: 12,3043           20000 00000                     2DEC     .5                                    
050144,001402: 
050145,001403: 12,3045           72525 52471                     2DEC     -.166666770                            
050146,001404: 
050147,001405: 12,3047           03146 15003                     2DEC     .100000392                            
050148,001406: 
050149,001407: 12,3051           75556 45210                     2DEC     -.071401086                            
050150,001408: 
050151,001409: 12,3053           01615 13553                     2DEC     .055503292                            
050152,001410: 
050153,001411: 12,3055           76371 63777                     2DEC     -.047264098                            
050154,001412: 
050155,001413: 12,3057           01232 27367                     2DEC     .040694204                            
050156,001414: 
050157,001415: 12,3061           06042                           TC       INTPRET                               
050158,001416: 12,3062           76405                           DMP      SL1R                                  #                               PL AT 0D
050159,001417: 12,3063           43006                           PUSH     BON                                   
050160,001418: 12,3064           04316                                    360SW                                 
050161,001419: 12,3065           25172                                    TRUE360X                              
050162,001420: 12,3066           60316        XCOMMON            DSQ      NORM                                  
050163,001421: 12,3067           00047                                    X1                                    
050164,001422: 12,3070           53605                           DMP      SRR*                                  
050165,001423: 12,3071           02742                                    R1A                                   
050166,001424: 12,3072           21565                                    0          -12D,1                     
050167,001425: 12,3073           14031                           STODL    XI                                    #  XI (+6)
050168,001426: 
050169,001427: 
050170,001428: 12,3074           00041                                    R1                                    
050171,001429: 12,3075           75542                           SR1      SQRT                                  
050172,001430: 12,3076           41306                           ROUND    DMP                                   
050173,001431: 12,3077           77632                           SL4R                                           #                               PL AT 0
050174,001432: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
050175,001433: 
050176,001434: 
050177,001435: 
050178,001436: 12,3101           60316                           DSQ      NORM                                  
050179,001437: 12,3102           00047                                    X1                                    
050180,001438: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)      PL AT 2
050181,001439: 12,3104           02740                                    P                                     
050182,001440: 12,3105           00041                                    R1                                    
050183,001441: 12,3106           75452                           SL3      SQRT                                  
050184,001442: 12,3107           56405                           DMP      SL3R                                  
050185,001443: 12,3110           02766                                    COGA                                  
050186,001444: 12,3111           14043                           STODL    KEPC1                                 
050187,001445: 12,3112           02742                                    R1A                                   
050188,001446: 12,3113           43021                           BDSU     CLEAR                                 
050189,001447: 12,3114           11007                                    D1/64                                 
050190,001448: 12,3115           04270                                    INFINFLG                              
050191,001449: 12,3116           00045                           STORE    KEPC2                                 
050192,001450: 12,3117           77616                           RVQ                                            
050193,001451: 

Page 1182

050195,001453: 12,3120           77774        RESETX2            AXT,2                                          
050196,001454: 12,3121           00003                                    3                                     
050197,001455: 
050198,001456: 12,3122           51001        360CHECK           SETPD    BPL                                   
050199,001457: 12,3123           00001                                    0D                                    
050200,001458: 12,3124           25127                                    INVRSEQN                              
050201,001459: 12,3125           77614                           SET                                            
050202,001460: 12,3126           04076                                    360SW                                 
050203,001461: 
050204,001462: 
050205,001463: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
050206,001464: 12,3130           02740                                    P                                     
050207,001465: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)                  PL AT 2
050208,001466: 12,3132           02730                                    SNTH                                  
050209,001467: 12,3133           02766                                    COGA                                  
050210,001468: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)                PL AT 4
050211,001469: 12,3135           02732                                    CSTH                                  
050212,001470: 12,3136           43202                           SR4      DAD                                   
050213,001471: 12,3137           11015                                    D1/32                                 
050214,001472: 12,3140           41225                           DSU      DMP                                   #                               PL AT 2,0
050215,001473: 12,3141           55301                           NORM     BDDV                                  
050216,001474: 12,3142           00047                                    X1                                    
050217,001475: 12,3143           02730                                    SNTH                                  
050218,001476: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
050219,001477: 12,3145           21174                                    0          -5,1                       
050220,001478: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                  PL AT 2
050221,001479: 12,3147           14043                           STODL    34D                                   
050222,001480: 12,3150           11013                                    D1/16                                 
050223,001481: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                        PL AT 4
050224,001482: 12,3152           65234                           RTB      PDDL                                  #                               PL AT 7
050225,001483: 12,3153           21634                                    TPMODE                                
050226,001484: 12,3154           02742                                    R1A                                   
050227,001485: 12,3155           40405                           DMP      SR4                                   
050228,001486: 12,3156           00043                                    34D                                   
050229,001487: 12,3157           77771                           TAD                                            #                                   PL AT 4
050230,001488: 12,3160           75440                           BMN      SQRT                                  
050231,001489: 12,3161           25205                                    INFINITY                              
050232,001490: 12,3162           77615                           DAD                                            #                               PL AT 2
050233,001491: 12,3163           60304                           TIX,2    NORM                                  
050234,001492: 12,3164           25151                                    1/WLOOP                               
050235,001493: 12,3165           00047                                    X1                                    
050236,001494: 12,3166           77665                           BDDV                                           #                                   PL AT 0
050237,001495: 12,3167           52057                           SLR*     GOTO                                  
050238,001496: 12,3170           21172                                    0          -7,1                       
050239,001497: 12,3171           25031                                    POLYCOEF                              
050240,001498: 
050241,001499: 
050242,001500: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
050243,001501: 12,3173           02742                                    R1A                                   

Page 1183

050245,001503: 12,3174           25205                                    INFINITY                              
050246,001504: 12,3175           60366                           SQRT     NORM                                  
050247,001505: 12,3176           00047                                    X1                                    
050248,001506: 12,3177           53665                           BDDV     SL*                                   
050249,001507: 12,3200           11027                                    2PISC                                 
050250,001508: 12,3201           20176                                    0          -3,1                       
050251,001509: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X          PL AT 0,2
050252,001510: 12,3203           77650                           GOTO                                           
050253,001511: 12,3204           25066                                    XCOMMON                               
050254,001512: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
050255,001513: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
050256,001514: 12,3207           25210                                    OVFLCLR                               
050257,001515: 12,3210           43414        OVFLCLR            SET      RVQ                                   
050258,001516: 12,3211           04070                                    INFINFLG                              
050259,001517: 

Page 1184

050261,001519: 12,3212           40220        LAMBERT            STQ      SETPD                                 
050262,001520: 12,3213           02710                                    RTNLAMB                               
050263,001521: 12,3214           00001                                    0D                                    
050264,001522: 12,3215           77600                           BOV                                            
050265,001523: 12,3216           25217                                    +1                                    
050266,001524: 12,3217           76614                           CLEAR    VLOAD*                                
050267,001525: 12,3220           02674                                    SOLNSW                                
050268,001526: 12,3221           10005                                    MUTABLE,1                             
050269,001527: 12,3222           14017                           STODL    1/MU                                  
050270,001528: 12,3223           02671                                    TDESIRED                              
050271,001529: 12,3224           77675                           DMPR                                           
050272,001530: 12,3225           11014                                    BEE19                                 
050273,001531: 12,3226           02764                           STORE    EPSILONL                              
050274,001532: 12,3227           77214                           SET      VLOAD                                 
050275,001533: 12,3230           00474                                    SLOPESW                               
050276,001534: 12,3231           02655                                    R1VEC                                 
050277,001535: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)        PL AT 6
050278,001536: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
050279,001537: 12,3234           11102                                    GEOM                                  
050280,001538: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                 PL AT 2
050281,001539: 12,3236           02720                                    MAGVEC2                               
050282,001540: 12,3237           65301                           NORM     PDDL                                  #                               PL AT 4
050283,001541: 12,3240           00047                                    X1                                    
050284,001542: 12,3241           00041                                    R1                                    
050285,001543: 12,3242           56342                           SR1      DDV                                   #                               PL AT 2
050286,001544: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)  PL AT 0,2
050287,001545: 12,3244           20173                                    0          -6,1                       
050288,001546: 12,3245           77626                           STADR                                          
050289,001547: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
050290,001548: 12,3247           44342                           SR1      BDSU                                  
050291,001549: 12,3250           11011                                    D1/4                                  
050292,001550: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
050293,001551: 
050294,001552: 12,3252           53106                           ROUND    BZE                                   
050295,001553: 12,3253           25473                                    360LAMB                               
050296,001554: 12,3254           65301                           NORM     PDDL                                  #                               PL AT 4
050297,001555: 12,3255           00047                                    X1                                    
050298,001556: 12,3256           00001                                    0D                                    
050299,001557: 12,3257           56342                           SR1      DDV                                   #                               PL AT 2
050300,001558: 12,3260           75457                           SL*      SQRT                                  
050301,001559: 12,3261           20176                                    0          -3,1                       
050302,001560: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5) PL AT 4
050303,001561: 12,3263           02730                                    SNTH                                  
050304,001562: 12,3264           20607                                    6                                     
050305,001563: 12,3265           43271                           DDV      DAD                                   #                               PL AT 2
050306,001564: 12,3266           02734                                    1-CSTH                                
050307,001565: 12,3267           77626                           STADR                                          
050308,001566: 12,3270           77760                           STORE    COGAMAX                               
050309,001567: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
050310,001568: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1185

050312,001570: 12,3273           25302                                    MAXCOGA                               #    THIS WOULD BE RESET IN LAMBLOOP
050313,001571: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
050314,001572: 12,3275           11033                                    COGUPLIM                              
050315,001573: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
050316,001574: 12,3277           77745        UPLIM              DLOAD                                          
050317,001575: 12,3300           11033                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
050318,001576: 12,3301           00017                           STORE    COGAMAX                               #    NOT CAUSING OVFL IN R1A CALCULATION
050319,001577: 12,3302           77745        MAXCOGA            DLOAD                                          
050320,001578: 12,3303           02732                                    CSTH                                  
050321,001579: 12,3304           45261                           SR       DSU                                   #                               PL AT 0
050322,001580: 12,3305           20607                                    6                                     
050323,001581: 12,3306           77626                           STADR                                          
050324,001582: 12,3307           61041                           STODL    CSTH-RHO                              
050325,001583: 12,3310           02673                                    GEOMSGN                               
050326,001584: 12,3311           71240                           BMN      DLOAD                                 
050327,001585: 12,3312           25513                                    LOLIM                                 
050328,001586: 12,3313           02736                                    CSTH-RHO                              
050329,001587: 12,3314           56352                           SL1      DDV                                   
050330,001588: 12,3315           02730                                    SNTH                                  
050331,001589: 12,3316           77600                           BOV                                            
050332,001590: 12,3317           25513                                    LOLIM                                 
050333,001591: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
050334,001592: 12,3321           66214                           BON      SSP                                   
050335,001593: 12,3322           00715                                    GUESSW                                
050336,001594: 12,3323           25477                                    NOGUESS                               
050337,001595: 12,3324           00051                                    TWEEKIT                               
050338,001596: 12,3325           00001                                    00001                                 
050339,001597: 12,3326           77745                           DLOAD                                          
050340,001598: 12,3327           02766                                    COGA                                  
050341,001599: 
050342,001600: 
050343,001601: 12,3330           77605        LAMBLOOP           DMP                                            
050344,001602: 12,3331           02730                                    SNTH                                  
050345,001603: 12,3332           45342                           SR1      DSU                                   
050346,001604: 12,3333           02736                                    CSTH-RHO                              
050347,001605: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
050348,001606: 12,3335           00047                                    X1                                    
050349,001607: 12,3336           02734                                    1-CSTH                                
050350,001608: 12,3337           56257                           SL*      DDV                                   #  1-CSTH  (+2)                 PL AT 0
050351,001609: 12,3340           20170                                    0          -9D,1                      
050352,001610: 12,3341           53040                           BMN      BZE                                   
050353,001611: 12,3342           25427                                    NEGP                                  
050354,001612: 12,3343           25427                                    NEGP                                  
050355,001613: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
050356,001614: 12,3345           02766                                    COGA                                  
050357,001615: 12,3346           43316                           DSQ      DAD                                   
050358,001616: 12,3347           11017                                    D1/1024                               
050359,001617: 12,3350           41301                           NORM     DMP                                   
050360,001618: 12,3351           00047                                    X1                                    
050361,001619: 12,3352           02740                                    P                                     

Page 1186

050363,001621: 12,3353           44257                           SR*      BDSU                                  
050364,001622: 12,3354           20571                                    0          -8D,1                      
050365,001623: 12,3355           11015                                    D1/32                                 
050366,001624: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
050367,001625: 
050368,001626: 12,3357           02740                                    P                                     
050369,001627: 12,3360           45000                           BOV      CALL                                  
050370,001628: 12,3361           25432                                    HIENERGY                              
050371,001629: 12,3362           24767                                    GETX                                  
050372,001630: 12,3363           77745                           DLOAD                                          
050373,001631: 12,3364           00037                                    T                                     
050374,001632: 12,3365           16762                           STODL    TPREV                                 
050375,001633: 12,3366           00031                                    XI                                    
050376,001634: 12,3367           45014                           BON      CALL                                  
050377,001635: 12,3370           04310                                    INFINFLG                              
050378,001636: 12,3371           25427                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
050379,001637: 12,3372           24421                                    DELTIME                               
050380,001638: 12,3373           44200                           BOV      BDSU                                  
050381,001639: 12,3374           25447                                    BIGTIME                               
050382,001640: 12,3375           02671                                    TDESIRED                              
050383,001641: 12,3376           02760                           STORE    TERRLAMB                              
050384,001642: 12,3377           44246                           ABS      BDSU                                  
050385,001643: 12,3400           02764                                    EPSILONL                              
050386,001644: 12,3401           47044                           BPL      RTB                                   
050387,001645: 12,3402           25516                                    INITV                                 
050388,001646: 12,3403           24644                                    CHECKCTR                              
050389,001647: 12,3404           43030                           BHIZ     BON                                   
050390,001648: 12,3405           25460                                    SUFFCHEK                              
050391,001649: 12,3406           00714                                    SLOPESW                               
050392,001650: 12,3407           25415                                    GOITER                                
050393,001651: 12,3410           45345                           DLOAD    DSU                                   
050394,001652: 12,3411           00037                                    T                                     
050395,001653: 12,3412           02762                                    TPREV                                 
050396,001654: 12,3413           77654                           BZE                                            
050397,001655: 12,3414           25460                                    SUFFCHEK                              
050398,001656: 12,3415           77624        GOITER             CALL                                           
050399,001657: 12,3416           24536                                    ITERATOR                              
050400,001658: 12,3417           53145                           DLOAD    BZE                                   
050401,001659: 12,3420           00155                                    MPAC                                  
050402,001660: 12,3421           25460                                    SUFFCHEK                              
050403,001661: 12,3422           77615                           DAD                                            
050404,001662: 12,3423           02766                                    COGA                                  
050405,001663: 12,3424           02766                           STORE    COGA                                  
050406,001664: 12,3425           77650                           GOTO                                           
050407,001665: 12,3426           25330                                    LAMBLOOP                              
050408,001666: 
050409,001667: 
050410,001668: 12,3427           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
050411,001669: 12,3430           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
050412,001670: 12,3431           25452                                    LOENERGY                              
050413,001671: 

Page 1187

050415,001673: 12,3432           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
050416,001674: 12,3433           00001                                    0                                     
050417,001675: 12,3434           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
050418,001676: 12,3435           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
050419,001677: 12,3436           70545        COMMONLM           DLOAD    SR1                                   
050420,001678: 12,3437           00015                                    DCOGA                                 
050421,001679: 12,3440           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
050422,001680: 12,3441           44254                           BZE      BDSU                                  
050423,001681: 12,3442           25460                                    SUFFCHEK                              
050424,001682: 12,3443           02766                                    COGA                                  
050425,001683: 12,3444           02766                           STORE    COGA                                  
050426,001684: 12,3445           77650                           GOTO                                           #  RESTART THIS LOOP
050427,001685: 12,3446           25330                                    LAMBLOOP                              
050428,001686: 
050429,001687: 
050430,001688: 12,3447           77745        BIGTIME            DLOAD                                          
050431,001689: 12,3450           02762                                    TPREV                                 
050432,001690: 12,3451           00037                           STORE    T                                     
050433,001691: 
050434,001692: 
050435,001693: 12,3452           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
050436,001694: 12,3453           00001                                    0                                     
050437,001695: 12,3454           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
050438,001696: 12,3455           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
050439,001697: 12,3456           77650                           GOTO                                           
050440,001698: 12,3457           25436                                    COMMONLM                              
050441,001699: 
050442,001700: 
050443,001701: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
050444,001702: 12,3461           02760                                    TERRLAMB                              
050445,001703: 12,3462           41325                           PDDL     DMP                                   #                               PL AT 2D
050446,001704: 12,3463           02671                                    TDESIRED                              
050447,001705: 12,3464           11002                                    BEE17                                 
050448,001706: 12,3465           45215                           DAD      DSU                                   #                               PL AT 0D
050449,001707: 12,3466           11031                                    ONEBIT                                
050450,001708: 12,3467           43044                           BPL      SETGO                                 
050451,001709: 12,3470           25516                                    INITV                                 
050452,001710: 12,3471           02434                                    SOLNSW                                
050453,001711: 12,3472           25516                                    INITV                                 
050454,001712: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
050455,001713: 12,3474           00001                                    0                                     
050456,001714: 12,3475           02434                                    SOLNSW                                
050457,001715: 12,3476           02710                                    RTNLAMB                               
050458,001716: 
050459,001717: 
050460,001718: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
050461,001719: 12,3500           00051                                    TWEEKIT                               
050462,001720: 12,3501           10000                                    20000                                 
050463,001721: 12,3502           00011                                    COGAMIN                               #                               PL AT 2
050464,001722: 12,3503           65342                           SR1      PDDL                                  

Page 1188

050466,001724: 12,3504           00017                                    COGAMAX                               
050467,001725: 12,3505           43342                           SR1      DAD                                   
050468,001726: 12,3506           77626                           STADR                                          #                               PL AT 0
050469,001727: 12,3507           75011                           STORE    COGA                                  
050470,001728: 12,3510           00015                           STORE    DCOGA                                 
050471,001729: 12,3511           77650                           GOTO                                           
050472,001730: 12,3512           25330                                    LAMBLOOP                              
050473,001731: 
050474,001732: 
050475,001733: 12,3513           52145        LOLIM              DLOAD    GOTO                                  
050476,001734: 12,3514           11035                                    COGLOLIM                              #  COGLOLIM=-.999511597
050477,001735: 12,3515           25320                                    MINCOGA                               
050478,001736: 
050479,001737: 
050480,001738: 12,3516           60345        INITV              DLOAD    NORM                                  
050481,001739: 12,3517           00041                                    R1                                    
050482,001740: 12,3520           00047                                    X1                                    
050483,001741: 12,3521           70525                           PDDL     SR1                                   #                               PL AT 2
050484,001742: 12,3522           02740                                    P                                     
050485,001743: 12,3523           77671                           DDV                                            #                               PL AT 0
050486,001744: 12,3524           75457                           SL*      SQRT                                  
050487,001745: 12,3525           20175                                    0          -4,1                       
050488,001746: 12,3526           72405                           DMP      SL1                                   
050489,001747: 12,3527           00021                                    ROOTMU                                
050490,001748: 12,3530           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                 PL AT 2
050491,001749: 12,3531           02766                                    COGA                                  
050492,001750: 12,3532           74261                           SL       VXSC                                  
050493,001751: 12,3533           20206                                    5                                     
050494,001752: 12,3534           02722                                    UR1                                   
050495,001753: 12,3535           77725                           PDDL                                           #  XCH WITH 0D                  PL AT 0,6
050496,001754: 12,3536           76561                           VXSC     VSL1                                  
050497,001755: 12,3537           02674                                    UN                                    
050498,001756: 12,3540           53235                           VXV      VAD                                   #                               PL AT 0
050499,001757: 12,3541           02722                                    UR1                                   
050500,001758: 12,3542           77772                           VSL1                                           
050501,001759: 12,3543           02744                           STORE    VVEC                                  
050502,001760: 12,3544           53135                           SLOAD    BZE                                   
050503,001761: 12,3545           02702                                    VTARGTAG                              
050504,001762: 12,3546           25551                                    TARGETV                               
050505,001763: 12,3547           77650                           GOTO                                           
050506,001764: 12,3550           02710                                    RTNLAMB                               
050507,001765: 
050508,001766: 
050509,001767: 12,3551           45145        TARGETV            DLOAD    CALL                                  
050510,001768: 12,3552           02720                                    MAGVEC2                               
050511,001769: 12,3553           24701                                    LAMENTER                              
050512,001770: 12,3554           02703                           STORE    VTARGET                               
050513,001771: 12,3555           77650                           GOTO                                           
050514,001772: 12,3556           02710                                    RTNLAMB                               
050515,001773: 

Page 1189

050517,001775: 12,3557           40220        TIMERAD            STQ      SETPD                                 #                                  PL AT 0
050518,001776: 12,3560           02710                                    RTNTR                                 
050519,001777: 12,3561           00001                                    0                                     
050520,001778: 12,3562           77600                           BOV                                            
050521,001779: 12,3563           25564                                    +1                                    
050522,001780: 12,3564           63375                           VLOAD    PDVL                                  #                                  PL AT 6
050523,001781: 12,3565           02655                                    RVEC                                  
050524,001782: 12,3566           02744                                    VVEC                                  
050525,001783: 12,3567           77624                           CALL                                           
050526,001784: 12,3570           11036                                    PARAM                                 
050527,001785: 12,3571           71200                           BOV      DLOAD                                 #                                  PL AT 0
050528,001786: 12,3572           24764                                    COGAOVFL                              
050529,001787: 12,3573           11015                                    D1/32                                 
050530,001788: 12,3574           41225                           DSU      DMP                                   
050531,001789: 12,3575           02742                                    R1A                                   
050532,001790: 12,3576           02740                                    P                                     
050533,001791: 12,3577           41366                           SQRT     DMP                                   
050534,001792: 12,3600           02766                                    COGA                                  
050535,001793: 12,3601           74212                           SL4      VXSC                                  
050536,001794: 12,3602           02712                                    U2                                    
050537,001795: 12,3603           45325                           PDDL     DSU                                   #                                  PL AT 6
050538,001796: 12,3604           11007                                    D1/64                                 
050539,001797: 12,3605           02742                                    R1A                                   
050540,001798: 12,3606           52361                           VXSC     VSU                                   #                                  PL AT 0
050541,001799: 12,3607           02722                                    UR1                                   
050542,001800: 12,3610           53512                           VSL4     UNIT                                  
050543,001801: 12,3611           77600                           BOV                                            
050544,001802: 12,3612           25670                                    CIRCULAR                              
050545,001803: 12,3613           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)               PL AT 6
050546,001804: 12,3614           02756                                    RDESIRED                              #  36D=ECC (+3)
050547,001805: 12,3615           00047                                    X1                                    
050548,001806: 12,3616           41325                           PDDL     DMP                                   #                               PL AT 8
050549,001807: 12,3617           00041                                    R1                                    
050550,001808: 12,3620           02740                                    P                                     
050551,001809: 12,3621           56257                           SL*      DDV                                   #                               PL AT 6
050552,001810: 12,3622           20201                                    0,1                                   
050553,001811: 12,3623           56225                           DSU      DDV                                   
050554,001812: 12,3624           11013                                    D1/16                                 
050555,001813: 12,3625           00045                                    36D                                   #  36D=ECC (+3)
050556,001814: 12,3626           00031                           STORE    COSF                                  
050557,001815: 12,3627           63400                           BOV      DSQ                                   
050558,001816: 12,3630           25674                                    BADR2                                 
050559,001817: 12,3631           50021                           BDSU     BMN                                   
050560,001818: 12,3632           11011                                    D1/4                                  
050561,001819: 12,3633           25674                                    BADR2                                 
050562,001820: 12,3634           75366                           SQRT     SIGN                                  
050563,001821: 12,3635           02755                                    SGNRDOT                               
050564,001822: 12,3636           77614                           CLEAR                                          
050565,001823: 12,3637           04272                                    APSESW                                

Page 1190

050567,001825: 12,3640           76561        TERMNVEC           VXSC     VSL1                                  
050568,001826: 12,3641           02674                                    UN                                    
050569,001827: 12,3642           63235                           VXV      PDVL                                  #  VXCH WITH 0D                 PL AT 0,6
050570,001828: 12,3643           00001                                    0D                                    
050571,001829: 12,3644           53361                           VXSC     VAD                                   #                               PL AT 0
050572,001830: 12,3645           00031                                    COSF                                  
050573,001831: 12,3646           41572                           VSL1     PUSH                                  #  0D=U2                        PL AT 6
050574,001832: 
050575,001833: 12,3647           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
050576,001834: 12,3650           02722                                    UR1                                   
050577,001835: 12,3651           25766                                    DP1/4                                 
050578,001836: 12,3652           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
050579,001837: 12,3653           25654                                    +1                                    #  CLEAR OVFIND IF SET
050580,001838: 12,3654           26732                           STOVL    CSTH                                  #  CSTH (+1)
050581,001839: 12,3655           02722                                    UR1                                   
050582,001840: 12,3656           76435                           VXV      VSL1                                  
050583,001841: 12,3657           72441                           DOT      SL1                                   
050584,001842: 12,3660           02674                                    UN                                    
050585,001843: 12,3661           16730                           STODL    SNTH                                  #  SNTH (+1)
050586,001844: 12,3662           02740                                    P                                     
050587,001845: 12,3663           77624                           CALL                                           
050588,001846: 12,3664           24767                                    GETX                                  
050589,001847: 12,3665           77614                           CLRGO                                          
050590,001848: 12,3666           02634                                    SOLNSW                                
050591,001849: 12,3667           24747                                    COMMNOUT                              
050592,001850: 
050593,001851: 
050594,001852: 12,3670           43001        CIRCULAR           SETPD    SETGO                                 
050595,001853: 12,3671           00001                                    0                                     
050596,001854: 12,3672           02434                                    SOLNSW                                
050597,001855: 12,3673           25752                                    ABTCONIC                              
050598,001856: 
050599,001857: 
050600,001858: 12,3674           75345        BADR2              DLOAD    SIGN                                  
050601,001859: 12,3675           24005                                    LODPHALF                              
050602,001860: 12,3676           00031                                    COSF                                  
050603,001861: 12,3677           14031                           STODL    COSF                                  
050604,001862: 12,3700           24007                                    KEPZERO                               
050605,001863: 12,3701           77614                           SETGO                                          
050606,001864: 12,3702           04032                                    APSESW                                
050607,001865: 12,3703           25640                                    TERMNVEC                              
050608,001866: 

Page 1191

050610,001868: 12,3704           40220        APSIDES            STQ      SETPD                                 #                                  PL AT  0
050611,001869: 12,3705           02710                                    RTNAPSE                               
050612,001870: 12,3706           00001                                    0D                                    
050613,001871: 12,3707           77600                           BOV                                            
050614,001872: 12,3710           25711                                    +1                                    
050615,001873: 12,3711           63375                           VLOAD    PDVL                                  #                                  PL AT  6
050616,001874: 12,3712           02655                                    RVEC                                  
050617,001875: 12,3713           02744                                    VVEC                                  
050618,001876: 12,3714           77624                           CALL                                           
050619,001877: 12,3715           11036                                    PARAM                                 
050620,001878: 12,3716           77600                           BOV                                            #                                  PL AT  0
050621,001879: 12,3717           25720                                    GETECC                                
050622,001880: 12,3720           42405        GETECC             DMP      SL4                                   
050623,001881: 12,3721           02742                                    R1A                                   
050624,001882: 12,3722           75421                           BDSU     SQRT                                  
050625,001883: 12,3723           11007                                    D1/64                                 
050626,001884: 12,3724           02752                           STORE    ECC                                   
050627,001885: 12,3725           65215                           DAD      PDDL                                  #                                  PL AT  2
050628,001886: 12,3726           11003                                    D1/8                                  
050629,001887: 12,3727           00041                                    R1                                    
050630,001888: 12,3730           72405                           DMP      SL1                                   
050631,001889: 12,3731           02740                                    P                                     
050632,001890: 12,3732           77671                           DDV                                            #                                  PL AT  0
050633,001891: 12,3733           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)              PL AT  2
050634,001892: 12,3734           02742                                    R1A                                   
050635,001893: 12,3735           00047                                    X1                                    
050636,001894: 12,3736           53725                           PDDL     SL*                                   #                                  PL AT  4
050637,001895: 12,3737           00041                                    R1                                    
050638,001896: 12,3740           20174                                    0          -5,1                       
050639,001897: 12,3741           45271                           DDV      DSU                                   #                                  PL AT 2,0
050640,001898: 12,3742           50000                           BOV      BMN                                   
050641,001899: 12,3743           25747                                    INFINAPO                              
050642,001900: 12,3744           25747                                    INFINAPO                              
050643,001901: 12,3745           77650                           GOTO                                           
050644,001902: 12,3746           02710                                    RTNAPSE                               
050645,001903: 12,3747           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC,PERIAPSIS
050646,001904: 12,3750           24020                                    LDPOSMAX                              
050647,001905: 12,3751           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
050648,001906: 

Page 1192

050650,001908: 12,3752           77776        ABTCONIC           EXIT                                           
050651,001909: 12,3753           05653                           TC       POODOO                                
050652,001910: 12,3754           20607                           OCT      20607                                 
050653,001911: 
050654,001912: 12,3755  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
050655,001913: 
050656,001914:                                                                                                  #  ERASABLE ASSIGNMENTS
050657,001915: 
050658,001916: 
050659,001917:                                                                                                  #  KEPLER SUBROUTINE
050660,001918: 
050661,001919:                                                                                                  #     INPUT -
050662,001920:                                                                                                  #  RRECT    ERASE  +5
050663,001921:                                                                                                  #  VRECT    ERASE  +5
050664,001922:                                                                                                  #  TAU.     ERASE  +1
050665,001923:                                                                                                  #  XKEP     ERASE  +1
050666,001924:                                                                                                  #  TC       ERASE  +1
050667,001925:                                                                                                  #  XPREV    ERASE  +1
050668,001926: 12,3755                        1/MU               EQUALS   14D                                   
050669,001927: 12,3755                        ROOTMU             EQUALS   16D                                   
050670,001928: 12,3755                        1/ROOTMU           EQUALS   18D                                   
050671,001929:                                                                                                  #     OUTPUT -
050672,001930:                                                                                                  #  RCV      ERASE  +5
050673,001931:                                                                                                  #  VCV      ERASE  +5
050674,001932:                                                                                                  #  RC       ERASE  +1
050675,001933:                                                                                                  #  XPREV    ERASE  +1
050676,001934: 
050677,001935:                                                                                                  #  DEBRIS -
050678,001936: 12,3755                        ALPHA              EQUALS   8D                                    
050679,001937: 12,3755                        XMAX               EQUALS   10D                                   
050680,001938: 12,3755                        XMIN               EQUALS   12D                                   
050681,001939: 12,3755                        X                  EQUALS   20D                                   
050682,001940: 12,3755                        XI                 EQUALS   24D                                   
050683,001941: 12,3755                        S(XI)              EQUALS   26D                                   
050684,001942: 12,3755                        XSQC(XI)           EQUALS   28D                                   
050685,001943: 12,3755                        T                  EQUALS   30D                                   
050686,001944: 12,3755                        R1                 EQUALS   32D                                   
050687,001945: 12,3755                        KEPC1              EQUALS   34D                                   
050688,001946: 12,3755                        KEPC2              EQUALS   36D                                   
050689,001947:                                                                                                  #  DELX     ERASE  +1
050690,001948:                                                                                                  #  DELT     ERASE  +1
050691,001949:                                                                                                  #  URRECT   ERASE  +5
050692,001950:                                                                                                  #  RCNORM   ERASE  +1
050693,001951:                                                                                                  #  XPREV    EQUALS XKEP
050694,001952: 
050695,001953: 
050696,001954:                                                                                                  #  LAMBERT SUBROUTINE
050697,001955: 
050698,001956:                                                                                                  #     INPUT-
050699,001957:                                                                                                  #  R1VEC    ERASE  +5

Page 1193

050701,001959:                                                                                                  #  R2VEC    ERASE  +5
050702,001960:                                                                                                  #  TDESIRED ERASE  +1
050703,001961:                                                                                                  #  GEOMSGN  ERASE  +0
050704,001962:                                                                                                  #  GUESSW                          0 IF COGA GUESS AVAILABLE, 1 IF NOT
050705,001963:                                                                                                  #  COGA     ERASE  +1              INPUT ONLY IF GUESSW IS ZERO.
050706,001964:                                                                                                  #  NORMSW                          0 IF UN TO BE COMPUTED, 1 IF UN INPUT
050707,001965:                                                                                                  #  UN       ERASE  +5              ONLY USED IF NORMSW IS 1
050708,001966:                                                                                                  #  VTARGTAG ERASE  +0
050709,001967:                                                                                                  #  TWEEKIT  EQUALS 40D             ONLY USED IF GUESSW IS 0
050710,001968: 
050711,001969:                                                                                                  #     OUTPUT -
050712,001970:                                                                                                  #  VTARGET  ERASE  +5              AVAILABLE ONLY IF VTARGTAG IS ZERO.
050713,001971:                                                                                                  #  V1VEC    EQUALS MPAC
050714,001972: 
050715,001973:                                                                                                  #     DEBRIS -
050716,001974:                                                                                                  #  RTNLAMB  ERASE  +0
050717,001975:                                                                                                  #  U2       ERASE  +5
050718,001976:                                                                                                  #  MAGVEC2  ERASE  +1
050719,001977:                                                                                                  #  UR1      ERASE  +5
050720,001978:                                                                                                  #  R1       EQUALS 31D
050721,001979:                                                                                                  #  UN       ERASE  +5
050722,001980:                                                                                                  #  SNTH     ERASE  +1
050723,001981:                                                                                                  #  CSTH     ERASE  +1
050724,001982:                                                                                                  #  1-CSTH   ERASE  +1
050725,001983:                                                                                                  #  CSTH-RHO ERASE  +1
050726,001984: 12,3755                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
050727,001985: 12,3755                        COGAMIN            EQUALS   8D                                    
050728,001986: 12,3755                        DCOGA              EQUALS   12D                                   
050729,001987:                                                                                                  #  TWEEKIT  EQUALS 40D
050730,001988:                                                                                                  #  P        ERASE  +1
050731,001989:                                                                                                  #  COGA     ERASE  +1
050732,001990:                                                                                                  #  R1A      ERASE  +1
050733,001991:                                                                                                  #  X        EQUALS 20D
050734,001992:                                                                                                  #  XSQ      EQUALS 22D
050735,001993:                                                                                                  #  XI       EQUALS 24D
050736,001994:                                                                                                  #  S(XI)    EQUALS 26D
050737,001995:                                                                                                  #  XSQC(XI) EQUALS 28D
050738,001996:                                                                                                  #  T        EQUALS 30D
050739,001997:                                                                                                  #  KEPC1    EQUALS 34D
050740,001998:                                                                                                  #  KEPC2    EQUALS 36D
050741,001999:                                                                                                  #  SLOPESW
050742,002000:                                                                                                  #  SOLNSW
050743,002001:                                                                                                  #  OTHERS -
050744,002002: 
050745,002003:                                                                                                  #  RVEC     EQUALS R1VEC
050746,002004:                                                                                                  #  VVEC     ERASE  +5
050747,002005:                                                                                                  #  COGAFLAG
050748,002006:                                                                                                  #  RVSW
050749,002007:                                                                                                  #  INFINFLG
050750,002008:                                                                                                  #  APSESW

Page 1194

050752,002010:                                                                                                  #  360SW
050753,002011:                                                                                                  #  RTNTT    EQUALS RTNLAMB
050754,002012:                                                                                                  #  ECC      ERASE  +1
050755,002013:                                                                                                  #  RTNTR    EQUALS RTNLAMB
050756,002014:                                                                                                  #  RTNAPSE  EQUALS RTNLAMB
050757,002015:                                                                                                  #  R2       EQUALS MAGVEC2
050758,002016: 12,3755                        COSF               EQUALS   24D                                   
050759,002017:                                                                                                  #  RTNPRM   ERASE  +0
050760,002018:                                                                                                  #  SGNRDOT  ERASE  +0
050761,002019:                                                                                                  #  RDESIRED ERASE  +1
050762,002020: 
050763,002021: 
050764,002022:                                                                                                  #  ITERATOR SUBROUTINE
050765,002023: 
050766,002024:                                                                                                  #  ORDERSW
050767,002025: 12,3755                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
050768,002026: 12,3755                        MIN                EQUALS   8D                                    
050769,002027:                                                                                                  #  INDEP    ERASE  +1
050770,002028: 12,3755                        DELINDEP           EQUALS   12D                                   
050771,002029: 12,3755                        ITERCTR            EQUALS   22D                                   
050772,002030: 12,3755                        DEP                EQUALS   30D                                   
050773,002031:                                                                                                  #  DELDEP   ERASE  +1
050774,002032:                                                                                                  #  DEPREV   ERASE  +1
050775,002033: 12,3755                        TWEEKIT            EQUALS   40D                                   
050776,002034: 
050777,002035: 
050778,002036:                                                                                                  #  MORE KEPLER
050779,002037: 
050780,002038:                                                                                                  #  EPSILONT ERASE  +1
050781,002039: 
050782,002040: 
050783,002041:                                                                                                  #  MORE LAMBERT
050784,002042: 
050785,002043:                                                                                                  #  TERRLAMB EQUALS DELDEP
050786,002044:                                                                                                  #  TPREV    EQUALS DEPREV
050787,002045: 
050788,002046: 
050789,002047:                                                                                                  #  EPSILONL EQUALS EPSILONT +2     DOUBLE PRECISION WORD

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