Source Code

These source-code files are part of a reconstructed copy of Comanche 51, the initial release (though not the final mission release) of the Apollo 11 Command Module (CM) Apollo Guidance Computer (AGC) software. The flown, final release was Comanche 55. The reconstruction is believed to be exactly accurate, but in the absence of an actual Apollo-era listing of Comanche 51, some explanation of the reconstruction process is needed to insure confidence in that accuracy.

The starting point was the source code of Comanche 55, whose original source code is available. Comanche 55 source code was then modified by undoing changes known to have been made between revisions 51 and 55. The most-significant steps involved reverting changes related to the R-2 lunar potential model, the details of which were known from the previous, separate, independent reconstruction of the Apollo 10 Lunar Module software Luminary 69/2. The now-reconstructed Comanche 51 source code was verified by assembling it and checking that the assembled code had the expected known-correct memory-bank checksums. Note that page numbers in the reconstructed code match those on the Comanche 55 or Luminary 69 printouts, although the source code would likely have different page numbers in a contemporary Comanche 51 listing.

Annotations that were not present in the contemporary source code have been added to the reconstructed code to justify each change relative to Comanche 55. Here's a guide to some of the Apollo documentation relevant to those annotations:
Among documentation not actually referenced in the annotations, there is a short writeup about the reconstruction process in our software repository that may be helpful in understanding it from a different perspective. There's also a handy table that lists what the number of memory-words should be for each routine in Comanche 51, which could make a nice double-check; however, we've not performed that double-check ourselves.

Comments expected to have been present in 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.

053677,000002:                                                                                                  ## Copyright:   Public domain.
053678,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
053679,000004:                                                                                                  ## Purpose:     A section of Comanche revision 051.
053680,000005:                                                                                                  ##              It is part of the reconstructed source code for the
053681,000006:                                                                                                  ##              original release of the flight software for the Command
053682,000007:                                                                                                  ##              Module's (CM) Apollo Guidance Computer (AGC) for Apollo 11.
053683,000008:                                                                                                  ##              The code has been recreated from a copy of Comanche 055. It
053684,000009:                                                                                                  ##              has been adapted such that the resulting bugger words
053685,000010:                                                                                                  ##              exactly match those specified for Comanche 51 in NASA drawing
053686,000011:                                                                                                  ##              2021153D, which gives relatively high confidence that the
053687,000012:                                                                                                  ##              reconstruction is correct.
053688,000013:                                                                                                  ## Reference:   pp. 1262-1308
053689,000014:                                                                                                  ## Assembler:   yaYUL
053690,000015:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
053691,000016:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
053692,000017:                                                                                                  ## Mod history: 2019-07-30 MAS  Created from Comanche 55.
053693,000018: 

Page 1262

053695,000020:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
053696,000021:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
053697,000022:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
053698,000023: 
053699,000024:                                                                                                  #  FUNCTIONAL DESCRIPTION -
053700,000025:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
053701,000026:                                                                                                  #        INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
053702,000027:                                                                                                  #        5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
053703,000028:                                                                                                  #        RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
053704,000029:                                                                                                  #        INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
053705,000030:                                                                                                  #        EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
053706,000031:                                                                                                  #        THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
053707,000032:                                                                                                  #        DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
053708,000033:                                                                                                  #        TINES APPROPRIATELY.
053709,000034: 
053710,000035:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
053711,000036:                                                                                                  #        BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
053712,000037:                                                                                                  #        DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
053713,000038: 
053714,000039:                                                                                                  #  RESTRICTIONS -
053715,000040:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
053716,000041:                                                                                                  #        LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
053717,000042:                                                                                                  #        TORIES COULD BE HANDLED.
053718,000043: 
053719,000044:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
053720,000045:                                                                                                  #        THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
053721,000046:                                                                                                  #        TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
053722,000047: 

Page 1263

053724,000049:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
053725,000050:                                                                                                  #  MOD NO. - 1                                                   LOG SECTION - CONIC SUBROUTINES
053726,000051:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
053727,000052:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
053728,000053:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON: SUPPRESSION OF X-MODULO-ING
053729,000054:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON: CLEAR OVFIND AT KEPLER ENTRY
053730,000055: 
053731,000056:                                                                                                  #  FUNCTIONAL DESCRIPTION -
053732,000057:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
053733,000058:                                                                                                  #        BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
053734,000059:                                                                                                  #        SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON. THE
053735,000060:                                                                                                  #        USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
053736,000061:                                                                                                  #        INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
053737,000062:                                                                                                  #        TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
053738,000063: 
053739,000064:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
053740,000065:                                                                                                  #        EXTRAPOLATING THE POSITION BACKWARD IN TIME.
053741,000066: 
053742,000067:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A 
053743,000068:                                                                                                  #        MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
053744,000069: 
053745,000070:                                                                                                  #  THE RESTRICTIONS ARE -
053746,000071:                                                                                                  #        1.      (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
053747,000072:                                                                                                  #        2.      THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
053748,000073:                                                                                                  #                ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
053749,000074: 
053750,000075:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
053751,000076:                                                                                                  #        GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
053752,000077:                                                                                                  #        FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
053753,000078: 
053754,000079:                                                                                                  #  REFERENCES -
053755,000080:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
053756,000081:                                                                                                  #        MEMO 67-4.
053757,000082: 
053758,000083:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
053759,000084:                                                                                                  #                * SCALE FACTOR *
053760,000085:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
053761,000086:                                                                                                  #        --------*--------------*                         -----------------------
053762,000087:                                                                                                  #        RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
053763,000088:                                                                                                  #                * +27 FOR MOON *

Page 1264

053765,000090:                                                                                                  #        VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
053766,000091:                                                                                                  #                * +5 FOR MOON  *
053767,000092:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
053768,000093:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
053769,000094:                                                                                                  #        TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
053770,000095:                                                                                                  #                *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
053771,000096:                                                                                                  #        XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS).SIGN SHOULD AGREE WITH THAT OF TAU.
053772,000097:                                                                                                  #                * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
053773,000098:                                                                                                  #                *              *    MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
053774,000099:                                                                                                  #                *              *    BY KEPLER TO A POOR BUT VALID GUESS.
053775,000100:                                                                                                  #        TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS. MUST BE LESS THAN ONE ORBITAL PERIOD.
053776,000101:                                                                                                  #        XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
053777,000102:                                                                                                  #                * +16 FOR MOON *    ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
053778,000103: 
053779,000104:                                                                                                  #  SUBROUTINES CALLED -
053780,000105:                                                                                                  #        DELTIME
053781,000106: 
053782,000107:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
053783,000108:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
053784,000109:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC.  PL IS AT 0.
053785,000110:                                                                                                  #        KEPRTN          ...                     CONTINUE
053786,000111: 
053787,000112:                                                                                                  #        KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
053788,000113:                                                                                                  #        THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
053789,000114:                                                                                                  #        ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
053790,000115: 
053791,000116:                                                                                                  #  ABORT EXIT MODES -
053792,000117:                                                                                                  #        NONE
053793,000118: 
053794,000119:                                                                                                  #  OUTPUT -
053795,000120:                                                                                                  #                * SCALE FACTOR *
053796,000121:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
053797,000122:                                                                                                  #        --------*--------------*                         -----------------------
053798,000123:                                                                                                  #        RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
053799,000124:                                                                                                  #                * +27 FOR MOON *
053800,000125:                                                                                                  #        VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
053801,000126:                                                                                                  #                * +5 FOR MOON  *
053802,000127:                                                                                                  #        TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED.  ALWAYS LESS THAN ONE PERIOD.
053803,000128:                                                                                                  #        XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
053804,000129:                                                                                                  #                * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1265

053806,000131:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
053807,000132: 
053808,000133:                                                                                                  #  DEBRIS -
053809,000134:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
053810,000135:                                                                                                  #                * SCALE FACTOR *
053811,000136:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
053812,000137:                                                                                                  #        --------*--------------*                         -----------------------
053813,000138:                                                                                                  #        URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
053814,000139:                                                                                                  #        R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
053815,000140:                                                                                                  #                * +27 FOR MOON *
053816,000141:                                                                                                  #        ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
053817,000142:                                                                                                  #                * -20 FOR MOON *
053818,000143:                                                                                                  #        TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
053819,000144:                                                                                                  #                *              *TAU. OF LESS THAN ONE PERIOD.
053820,000145: 
053821,000146:                                                                                                  #  PARAMETERS OF NO USE -
053822,000147:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
053823,000148: 

Page 1266

053825,000150:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
053826,000151:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
053827,000152:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
053828,000153: 
053829,000154:                                                                                                  #  FUNCTIONAL DESCRIPTION -
053830,000155:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
053831,000156:                                                                                                  #        FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
053832,000157:                                                                                                  #        A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
053833,000158:                                                                                                  #        SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
053834,000159:                                                                                                  #        CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
053835,000160:                                                                                                  #        UTILIZED IN THE COMPUTATION.
053836,000161: 
053837,000162:                                                                                                  #  THE RESTRICTIONS ARE -
053838,000163:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
053839,000164:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
053840,000165:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
053841,000166:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
053842,000167:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
053843,000168:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
053844,000169:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
053845,000170: 
053846,000171:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
053847,000172:                                                                                                  #        GUESS OF THE INDEPENDENT VARIABLE, COGA.                           THE AGC COMPUTATION TIME IS APPROXIMATE-
053848,000173:                                                                                                  #        LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
053849,000174: 
053850,000175:                                                                                                  #  REFERENCES -
053851,000176:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
053852,000177:                                                                                                  #        SGA MEMO 67-4.
053853,000178: 
053854,000179:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
053855,000180:                                                                                                  #                * SCALE FACTOR *
053856,000181:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
053857,000182:                                                                                                  #        --------*--------------*                         -----------------------
053858,000183:                                                                                                  #        R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
053859,000184:                                                                                                  #                * +27 FOR MOON *
053860,000185:                                                                                                  #        R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
053861,000186:                                                                                                  #                * +27 FOR MOON *
053862,000187:                                                                                                  #        TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
053863,000188:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
053864,000189:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
053865,000190:                                                                                                  #        GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
053866,000191:                                                                                                  #        GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1267

053868,000193:                                                                                                  #                *              *COGA IS TO BE USED BY LAMBERT
053869,000194:                                                                                                  #        COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
053870,000195:                                                                                                  #                               *IGNORED IF GUESSW IS SET.
053871,000196:                                                                                                  #        NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
053872,000197:                                                                                                  #                *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
053873,000198:                                                                                                  #        UN      * +1           *DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
053874,000199:                                                                                                  #                *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
053875,000200:                                                                                                  #        VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
053876,000201:                                                                                                  #                *              *AT R1VEC.
053877,000202: 
053878,000203:                                                                                                  #  SUBROUTINES CALLED -
053879,000204:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
053880,000205: 
053881,000206:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
053882,000207:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
053883,000208:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
053884,000209:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
053885,000210:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
053886,000211:                                                                                                  #        L+3             SOLNSW
053887,000212:                                                                                                  #        L+4             LAMABORT
053888,000213: 
053889,000214:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
053890,000215:                                                                                                  #        GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
053891,000216: 
053892,000217:                                                                                                  #  ABORT EXIT MODES -
053893,000218:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
053894,000219:                                                                                                  #        WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
053895,000220:                                                                                                  #        ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
053896,000221:                                                                                                  #        LAMABORT        DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
053897,000222:                                                                                                  #                                1-CSTH          360 DEGREES.
053898,000223:                                                                                                  #                        DSU     BMN
053899,000224:                                                                                                  #                                ONEBIT
053900,000225:                                                                                                  #                                CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
053901,000226:                                                                                                  #                        DLOAD   DAD
053902,000227:                                                                                                  #                                TDESIRED
053903,000228:                                                                                                  #                                SOMETIME
053904,000229:                                                                                                  #                        STCALL  TDESIRED        INCREASE TDESIRED
053905,000230:                                                                                                  #                                LAMBERT
053906,000231: 
053907,000232:                                                                                                  #  OUTPUT -
053908,000233:                                                                                                  #                * SCALE FACTOR *
053909,000234:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS

Page 1268

053911,000236:                                                                                                  #        --------*--------------*                         -----------------------
053912,000237:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
053913,000238:                                                                                                  #                * +5 FOR MOON  *PROBLEM.
053914,000239:                                                                                                  #        VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
053915,000240:                                                                                                  #                * +5 FOR MOON  *
053916,000241:                                                                                                  #        SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
053917,000242:                                                                                                  #                *              *SOLUTION EXISTS.
053918,000243: 
053919,000244:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
053920,000245: 
053921,000246:                                                                                                  #  DEBRIS -
053922,000247:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
053923,000248:                                                                                                  #                * SCALE FACTOR *
053924,000249:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
053925,000250:                                                                                                  #        --------*--------------*                         -----------------------
053926,000251:                                                                                                  #        SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
053927,000252:                                                                                                  #        CSTH    * +1           *DP COSINE OF ANGLE
053928,000253:                                                                                                  #        1-CSTH  * +2           *DP 1-CSTH
053929,000254:                                                                                                  #        COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
053930,000255:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
053931,000256:                                                                                                  #        R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
053932,000257:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
053933,000258:                                                                                                  #                * +27 FOR MOON *
053934,000259:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF R1VEC
053935,000260:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF R2VEC
053936,000261: 
053937,000262:                                                                                                  #        PARAMETERS OF NO USE
053938,000263:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
053939,000264:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
053940,000265: 

Page 1269

053942,000267:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
053943,000268:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
053944,000269:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
053945,000270: 
053946,000271:                                                                                                  #  FUNCTIONAL DESCRIPTION -
053947,000272:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
053948,000273:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
053949,000274:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
053950,000275:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
053951,000276:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
053952,000277:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
053953,000278: 
053954,000279:                                                                                                  #  THE RESTRICTIONS ARE -
053955,000280:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
053956,000281:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
053957,000282:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
053958,000283:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
053959,000284: 
053960,000285:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
053961,000286: 
053962,000287:                                                                                                  #  REFERENCES -
053963,000288:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
053964,000289: 
053965,000290:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
053966,000291:                                                                                                  #                * SCALE FACTOR *
053967,000292:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
053968,000293:                                                                                                  #        --------*--------------*                         -----------------------
053969,000294:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
053970,000295:                                                                                                  #                * +27 FOR MOON *
053971,000296:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
053972,000297:                                                                                                  #                * +5 FOR MOON  *
053973,000298:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
053974,000299:                                                                                                  #        CSTH    * +1           *DP COSINE OF THE ANGLE
053975,000300:                                                                                                  #        RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
053976,000301:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
053977,000302:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
053978,000303:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
053979,000304: 
053980,000305:                                                                                                  #  SUBROUTINES CALLED -

Page 1270

053982,000307:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
053983,000308: 
053984,000309:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
053985,000310:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
053986,000311:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
053987,000312:                                                                                                  #        L+1             RVSW
053988,000313:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
053989,000314:                                                                                                  #        L+3     ...                     CONTINUE
053990,000315: 
053991,000316:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
053992,000317:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
053993,000318:                                                                                                  #        L+1             RVSW
053994,000319:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
053995,000320:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
053996,000321:                                                                                                  #        L+3     STOVL   NEWVVEC
053997,000322:                                                                                                  #        L+4     STADR
053998,000323:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
053999,000324:                                                                                                  #        L+6     ...                     CONTINUE
054000,000325: 
054001,000326:                                                                                                  #  ABORT EXIT MODES -
054002,000327:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
054003,000328:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
054004,000329: 
054005,000330:                                                                                                  #  OUTPUT -
054006,000331:                                                                                                  #                * SCALE FACTOR *
054007,000332:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054008,000333:                                                                                                  #        --------*--------------*                         -----------------------
054009,000334:                                                                                                  #        T(30D)  * +28          *DP TRANSFER TIME IN CENTISECONDS
054010,000335:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
054011,000336:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
054012,000337:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
054013,000338:                                                                                                  #                *              *CLEAR IF NOT.
054014,000339: 
054015,000340:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
054016,000341:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
054017,000342:                                                                                                  #         MPAC +5* +5 FOR MOON  *
054018,000343:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
054019,000344:                                                                                                  #                * +27 FOR MOON *
054020,000345: 
054021,000346:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.

Page 1271

054023,000348: 
054024,000349:                                                                                                  #  DEBRIS -
054025,000350:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
054026,000351:                                                                                                  #                * SCALE FACTOR *
054027,000352:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054028,000353:                                                                                                  #        --------*--------------*                         -----------------------
054029,000354:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
054030,000355:                                                                                                  #                * +27 FOR MOON *
054031,000356:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
054032,000357:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
054033,000358:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
054034,000359:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
054035,000360:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
054036,000361:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
054037,000362: 
054038,000363:                                                                                                  #  PARAMETERS OF NO USE -
054039,000364:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
054040,000365:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
054041,000366: 

Page 1272

054043,000368:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
054044,000369:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
054045,000370:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
054046,000371: 
054047,000372:                                                                                                  #  FUNCTIONAL DESCRIPTION -
054048,000373:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
054049,000374:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
054050,000375:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
054051,000376:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
054052,000377:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
054053,000378:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
054054,000379: 
054055,000380:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
054056,000381:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
054057,000382: 
054058,000383:                                                                                                  #  THE RESTRICTIONS ARE -
054059,000384:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
054060,000385:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
054061,000386:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
054062,000387:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
054063,000388:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
054064,000389:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
054065,000390:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
054066,000391: 
054067,000392:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
054068,000393: 
054069,000394:                                                                                                  #  REFERENCES -
054070,000395:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
054071,000396: 
054072,000397:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
054073,000398:                                                                                                  #                * SCALE FACTOR *
054074,000399:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054075,000400:                                                                                                  #        --------*--------------*                         -----------------------
054076,000401:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
054077,000402:                                                                                                  #                * +27 FOR MOON *
054078,000403:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
054079,000404:                                                                                                  #                * +5 FOR MOON  *
054080,000405:                                                                                                  #        RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
054081,000406:                                                                                                  #                * +27 FOR MOON *COMPUTED.
054082,000407:                                                                                                  #        SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
054083,000408:                                                                                                  #                *              *POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1273

054085,000410:                                                                                                  #                *              *SINGLE-VALUED PROBLEM.
054086,000411:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
054087,000412:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
054088,000413:                                                                                                  #        RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
054089,000414:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
054090,000415: 
054091,000416:                                                                                                  #  SUBROUTINES CALLED -
054092,000417:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
054093,000418: 
054094,000419:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
054095,000420:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
054096,000421:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
054097,000422:                                                                                                  #        L+1             RVSW
054098,000423:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
054099,000424:                                                                                                  #        L+3     ...                     CONTINUE
054100,000425: 
054101,000426:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
054102,000427:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
054103,000428:                                                                                                  #        L+1             RVSW
054104,000429:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
054105,000430:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
054106,000431:                                                                                                  #        L+3     STOVL   NEWVVEC
054107,000432:                                                                                                  #        L+4     STADR
054108,000433:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
054109,000434:                                                                                                  #        L+6     ...                     CONTINUE
054110,000435: 
054111,000436:                                                                                                  #  ABORT EXIT MODES -
054112,000437:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
054113,000438:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 & 721)
054114,000439: 
054115,000440:                                                                                                  #  OUTPUT -
054116,000441:                                                                                                  #                * SCALE FACTOR *
054117,000442:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054118,000443:                                                                                                  #        --------*--------------*                         -----------------------
054119,000444:                                                                                                  #        T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
054120,000445:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
054121,000446:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
054122,000447:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
054123,000448:                                                                                                  #                *              *CLEAR IF NOT.
054124,000449:                                                                                                  #        APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1274

054126,000451:                                                                                                  #                *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
054127,000452:                                                                                                  #                *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
054128,000453:                                                                                                  #                *              *APOCENTER.
054129,000454:                                                                                                  #        SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
054130,000455:                                                                                                  #                               *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
054131,000456:                                                                                                  #                               *MINUS-18, THE SWITCH IS CLEAR.
054132,000457: 
054133,000458:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
054134,000459:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
054135,000460:                                                                                                  #         MPAC +5* +5 FOR MOON  *
054136,000461:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
054137,000462:                                                                                                  #                * +27 FOR MOON *
054138,000463: 
054139,000464:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
054140,000465: 
054141,000466:                                                                                                  #  DEBRIS -
054142,000467:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
054143,000468:                                                                                                  #                * SCALE FACTOR *
054144,000469:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054145,000470:                                                                                                  #        --------*--------------*                         -----------------------
054146,000471:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
054147,000472:                                                                                                  #                * +27 FOR MOON *
054148,000473:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
054149,000474:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
054150,000475:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
054151,000476:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
054152,000477:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
054153,000478:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
054154,000479:                                                                                                  #        CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
054155,000480:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
054156,000481: 
054157,000482:                                                                                                  #        PARAMETERS OF NO USE -
054158,000483:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
054159,000484:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
054160,000485: 
054161,000486: 

Page 1275

054163,000488:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
054164,000489:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
054165,000490:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
054166,000491: 
054167,000492:                                                                                                  #  FUNCTIONAL DESCRIPTION -
054168,000493:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
054169,000494:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
054170,000495:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
054171,000496:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
054172,000497:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
054173,000498: 
054174,000499:                                                                                                  #  THE RESTRICTIONS ARE -
054175,000500:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
054176,000501:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
054177,000502:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
054178,000503:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
054179,000504: 
054180,000505:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
054181,000506: 
054182,000507:                                                                                                  #  REFERENCES -
054183,000508:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
054184,000509: 
054185,000510:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
054186,000511:                                                                                                  #                * SCALE FACTOR *
054187,000512:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054188,000513:                                                                                                  #        --------*--------------*                         -----------------------
054189,000514:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
054190,000515:                                                                                                  #                * +27 FOR MOON *
054191,000516:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
054192,000517:                                                                                                  #                * +5 FOR MOON  *
054193,000518:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
054194,000519:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
054195,000520: 
054196,000521:                                                                                                  #  SUBROUTINES CALLED -
054197,000522:                                                                                                  #        PARAM, GEOM
054198,000523: 
054199,000524:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1276

054201,000526:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
054202,000527:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
054203,000528:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
054204,000529:                                                                                                  #        L+2     STODL   APOAPSE
054205,000530:                                                                                                  #        L+3             0D
054206,000531:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
054207,000532:                                                                                                  #        L+5     ...                     CONTINUE
054208,000533: 
054209,000534:                                                                                                  #  OUTPUT -
054210,000535:                                                                                                  #                * SCALE FACTOR *
054211,000536:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054212,000537:                                                                                                  #        --------*--------------*                         -----------------------
054213,000538:                                                                                                  #        MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
054214,000539:                                                                                                  #                * +27 FOR MOON *
054215,000540:                                                                                                  #        0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
054216,000541:                                                                                                  #                * +27 FOR MOON *
054217,000542:                                                                                                  #        ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
054218,000543: 
054219,000544:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
054220,000545: 
054221,000546:                                                                                                  #  DEBRIS -
054222,000547:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
054223,000548:                                                                                                  #                * SCALE FACTOR *
054224,000549:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054225,000550:                                                                                                  #        --------*--------------*                         -----------------------
054226,000551:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
054227,000552:                                                                                                  #                * +27 FOR MOON *
054228,000553:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
054229,000554:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
054230,000555:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
054231,000556:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
054232,000557:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
054233,000558:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
054234,000559:                                                                                                  #        MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
054235,000560:                                                                                                  #                * +5 FOR MOON  *
054236,000561: 
054237,000562:                                                                                                  #        PARAMETERS OF NO USE -
054238,000563:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
054239,000564:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
054240,000565: 
054241,000566: 12,2000                                           SETLOC   CONICS                                

Page 1277

054243,000568: 12,2000                                           BANK                                           
054244,000569: 
054245,000570: 12,2042                                           COUNT    12/CONIC                              
054246,000571: 
054247,000572: 12,2042  E5,1723                                  EBANK=   UR1                                   
054248,000573: 12,2042           40001        KEPLERN            SETPD    BOV                                   
054249,000574: 12,2043           00001                                    0                                     
054250,000575: 12,2044           24045                                    +1                                    
054251,000576: 12,2045           77773                           VLOAD*                                         
054252,000577: 12,2046           11740                                    MUTABLE,1                             
054253,000578: 12,2047           24017                           STOVL    14D                                   
054254,000579: 12,2050           01503                                    RRECT                                 
054255,000580: 12,2051           66256                           UNIT     SSP                                   
054256,000581: 12,2052           00027                                    ITERCTR                               
054257,000582: 12,2053           00024                                    20D                                   
054258,000583: 12,2054           16647                           STODL    URRECT                                
054259,000584: 12,2055           00045                                    36D                                   
054260,000585: 12,2056           24041                           STOVL    R1                                    
054261,000586: 12,2057           01503                                    RRECT                                 
054262,000587: 12,2060           76441                           DOT      SL1R                                  
054263,000588: 12,2061           01511                                    VRECT                                 
054264,000589: 12,2062           76405                           DMP      SL1R                                  
054265,000590: 12,2063           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
054266,000591: 12,2064           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
054267,000592: 
054268,000593: 12,2065           01511                                    VRECT                                 
054269,000594: 12,2066           57236                           VSQ      DMPR                                  
054270,000595: 12,2067           00017                                    1/MU                                  #  1/MU (-34 OR -28)
054271,000596: 12,2070           52405                           DMP      SL3                                   
054272,000597: 12,2071           00041                                    R1                                    
054273,000598: 12,2072           61425                           DSU      ROUND                                 
054274,000599: 12,2073           11610                                    D1/64                                 
054275,000600: 12,2074           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
054276,000601: 
054277,000602: 12,2075           74421                           BDSU     SR1R                                  
054278,000603: 12,2076           11610                                    D1/64                                 
054279,000604: 12,2077           77671                           DDV                                            
054280,000605: 12,2100           00041                                    R1                                    
054281,000606: 12,2101           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
054282,000607: 
054283,000608: 12,2102           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
054284,000609: 12,2103           24112                                    1REV                                  
054285,000610: 12,2104           11626                                    -50SC                                 #  -50SC (+12)
054286,000611: 12,2105           40071                           DDV      BOV                                   
054287,000612: 12,2106           00011                                    ALPHA                                 
054288,000613: 12,2107           24116                                    STOREMAX                              
054289,000614: 12,2110           52166                           SQRT     GOTO                                  
054290,000615: 12,2111           24116                                    STOREMAX                              

Page 1278

054292,000617: 12,2112           55366        1REV               SQRT     BDDV                                  
054293,000618: 12,2113           11630                                    2PISC                                 #  2PISC (+6)
054294,000619: 12,2114           77600                           BOV                                            
054295,000620: 12,2115           24116                                    STOREMAX                              
054296,000621: 12,2116           00013        STOREMAX           STORE    XMAX                                  
054297,000622: 12,2117           65205                           DMP      PDDL                                  
054298,000623: 12,2120           00023                                    1/ROOTMU                              
054299,000624: 12,2121           00011                                    ALPHA                                 
054300,000625: 12,2122           65301                           NORM     PDDL                                  
054301,000626: 12,2123           00047                                    X1                                    
054302,000627: 12,2124           56257                           SL*      DDV                                   
054303,000628: 12,2125           20173                                    0          -6,1                       
054304,000629: 12,2126           50000                           BOV      BMN                                   
054305,000630: 12,2127           24143                                    MODDONE                               
054306,000631: 12,2130           24143                                    MODDONE                               #  MPAC=PERIOD
054307,000632: 12,2131           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
054308,000633: 12,2132           02312                                    TAU.                                  
054309,000634: 12,2133           50025                           DSU      BMN                                   
054310,000635: 12,2134           00001                                    0D                                    
054311,000636: 12,2135           24143                                    MODDONE                               
054312,000637: 12,2136           77765                           SIGN                                           
054313,000638: 12,2137           02312                                    TAU.                                  
054314,000639: 12,2140           16312                           STODL    TAU.                                  
054315,000640: 12,2141           77650                           GOTO                                           
054316,000641: 12,2142           24131                                    PERIODCH                              
054317,000642: 12,2143           71201        MODDONE            SETPD    DLOAD                                 
054318,000643: 12,2144           00001                                    0                                     
054319,000644: 12,2145           02306                                    XKEPNEW                               
054320,000645: 12,2146           00025                           STORE    X                                     
054321,000646: 12,2147           53165                           SIGN     BZE                                   
054322,000647: 12,2150           02312                                    TAU.                                  
054323,000648: 12,2151           24320                                    BADX                                  
054324,000649: 12,2152           51440                           BMN      ABS                                   
054325,000650: 12,2153           24320                                    BADX                                  
054326,000651: 12,2154           51025                           DSU      BPL                                   
054327,000652: 12,2155           00013                                    XMAX                                  
054328,000653: 12,2156           24320                                    BADX                                  
054329,000654: 12,2157           51145        STORBNDS           DLOAD    BPL                                   
054330,000655: 12,2160           02312                                    TAU.                                  
054331,000656: 12,2161           24170                                    STOREMIN                              
054332,000657: 12,2162           57545                           DLOAD    DCOMP                                 
054333,000658: 12,2163           00013                                    XMAX                                  
054334,000659: 12,2164           14015                           STODL    XMIN                                  
054335,000660: 12,2165           11566                                    KEPZERO                               
054336,000661: 12,2166           34013                           STCALL   XMAX                                  
054337,000662: 12,2167           24173                                    DXCOMP                                
054338,000663: 12,2170           77745        STOREMIN           DLOAD                                          
054339,000664: 12,2171           11566                                    KEPZERO                               
054340,000665: 12,2172           00015                           STORE    XMIN                                  
054341,000666: 12,2173           57345        DXCOMP             DLOAD    DMPR                                  

Page 1279

054343,000668: 12,2174           02312                                    TAU.                                  
054344,000669: 12,2175           11621                                    BEE22                                 
054345,000670: 12,2176           77646                           ABS                                            
054346,000671: 12,2177           15350                           STODL    EPSILONT                              
054347,000672: 12,2200           01553                                    XPREV                                 
054348,000673: 12,2201           77621        XDIFF              BDSU                                           
054349,000674: 12,2202           00025                                    X                                     
054350,000675: 12,2203           02643                           STORE    DELX                                  
054351,000676: 
054352,000677: 12,2204           63545        KEPLOOP            DLOAD    DSQ                                   
054353,000678: 12,2205           00025                                    X                                     #  X=XKEP
054354,000679: 12,2206           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
054355,000680: 12,2207           00047                                    X1                                    
054356,000681: 12,2210           53605                           DMP      SRR*                                  
054357,000682: 12,2211           00011                                    ALPHA                                 
054358,000683: 12,2212           21573                                    0          -6,1                       
054359,000684: 12,2213           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
054360,000685: 12,2214           24433                                    DELTIME                               
054361,000686: 12,2215           44200                           BOV      BDSU                                  
054362,000687: 12,2216           24326                                    TIMEOVFL                              #  UNLIKELY
054363,000688: 12,2217           02312                                    TAU.                                  
054364,000689: 12,2220           02645                           STORE    DELT                                  #  DELT=DELINDEP
054365,000690: 12,2221           44246                           ABS      BDSU                                  
054366,000691: 12,2222           01350                                    EPSILONT                              
054367,000692: 12,2223           71244                           BPL      DLOAD                                 
054368,000693: 12,2224           24346                                    KEPCONVG                              
054369,000694: 12,2225           00037                                    T                                     
054370,000695: 12,2226           60225                           DSU      NORM                                  
054371,000696: 12,2227           01551                                    TC                                    
054372,000697: 12,2230           00047                                    X1                                    
054373,000698: 12,2231           60325                           PDDL     NORM                                  
054374,000699: 12,2232           02643                                    DELX                                  
054375,000700: 12,2233           00050                                    X2                                    
054376,000701: 12,2234           41260                           XSU,1    DMP                                   
054377,000702: 12,2235           00047                                    X2                                    
054378,000703: 12,2236           02645                                    DELT                                  
054379,000704: 12,2237           56257                           SLR*     DDV                                   
054380,000705: 12,2240           21202                                    1,1                                   
054381,000706: 12,2241           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
054382,000707: 12,2242           71244                           BPL      DLOAD                                 
054383,000708: 12,2243           24264                                    POSDELX                               
054384,000709: 12,2244           00025                                    X                                     
054385,000710: 12,2245           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
054386,000711: 12,2246           45221                           BDSU     DSU                                   #                        PL AT 0
054387,000712: 12,2247           00015                                    XMIN                                  
054388,000713: 12,2250           51000                           BOV      BPL                                   
054389,000714: 12,2251           24256                                    NDXCHNGE                              
054390,000715: 12,2252           24256                                    NDXCHNGE                              
054391,000716: 12,2253           52145                           DLOAD    GOTO                                  

Page 1280

054393,000718: 12,2254           00001                                    0D                                    
054394,000719: 12,2255           24276                                    NEWDELX                               
054395,000720: 
054396,000721: 12,2256           45345        NDXCHNGE           DLOAD    DSU                                   
054397,000722: 12,2257           00015                                    XMIN                                  
054398,000723: 12,2260           00025                                    X                                     
054399,000724: 12,2261           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
054400,000725: 12,2262           11624                                    DP9/10                                
054401,000726: 12,2263           24276                                    NEWDELX                               
054402,000727: 
054403,000728: 12,2264           77745        POSDELX            DLOAD                                          
054404,000729: 12,2265           00025                                    X                                     
054405,000730: 12,2266           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
054406,000731: 12,2267           45221                           BDSU     DSU                                   #                        PL AT 0
054407,000732: 12,2270           00013                                    XMAX                                  
054408,000733: 12,2271           50000                           BOV      BMN                                   
054409,000734: 12,2272           24312                                    PDXCHNGE                              
054410,000735: 12,2273           24312                                    PDXCHNGE                              
054411,000736: 12,2274           77745                           DLOAD                                          
054412,000737: 12,2275           00001                                    0D                                    
054413,000738: 12,2276           02643        NEWDELX            STORE    DELX                                  
054414,000739: 12,2277           43254                           BZE      DAD                                   
054415,000740: 12,2300           24346                                    KEPCONVG                              
054416,000741: 12,2301           00025                                    X                                     
054417,000742: 12,2302           14025                           STODL    X                                     
054418,000743: 12,2303           00037                                    T                                     
054419,000744: 12,2304           01551                           STORE    TC                                    
054420,000745: 12,2305           46034        BRNCHCTR           RTB      BHIZ                                  
054421,000746: 12,2306           24656                                    CHECKCTR                              
054422,000747: 12,2307           24346                                    KEPCONVG                              
054423,000748: 12,2310           77650                           GOTO                                           
054424,000749: 12,2311           24204                                    KEPLOOP                               #  ITERATE
054425,000750: 
054426,000751: 12,2312           45345        PDXCHNGE           DLOAD    DSU                                   
054427,000752: 12,2313           00013                                    XMAX                                  
054428,000753: 12,2314           00025                                    X                                     
054429,000754: 12,2315           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
054430,000755: 12,2316           11624                                    DP9/10                                
054431,000756: 12,2317           24276                                    NEWDELX                               
054432,000757: 
054433,000758: 12,2320           70545        BADX               DLOAD    SR1                                   
054434,000759: 12,2321           00013                                    XMAX                                  
054435,000760: 12,2322           77765                           SIGN                                           
054436,000761: 12,2323           02312                                    TAU.                                  
054437,000762: 12,2324           34025                           STCALL   X                                     
054438,000763: 12,2325           24157                                    STORBNDS                              

Page 1281

054440,000765: 12,2326           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
054441,000766: 12,2327           00025                                    X                                     
054442,000767: 12,2330           24344                                    NEGTOVFL                              
054443,000768: 12,2331           00013                           STORE    XMAX                                  
054444,000769: 12,2332           70545        CMNTOVFL           DLOAD    SR1                                   
054445,000770: 12,2333           02643                                    DELX                                  
054446,000771: 12,2334           02643                           STORE    DELX                                  
054447,000772: 12,2335           44254                           BZE      BDSU                                  
054448,000773: 12,2336           02270                                    KEPRTN                                
054449,000774: 12,2337           00025                                    X                                     
054450,000775: 12,2340           14025                           STODL    X                                     
054451,000776: 12,2341           01551                                    TC                                    
054452,000777: 12,2342           34037                           STCALL   T                                     
054453,000778: 12,2343           24305                                    BRNCHCTR                              
054454,000779: 12,2344           34015        NEGTOVFL           STCALL   XMIN                                  
054455,000780: 12,2345           24332                                    CMNTOVFL                              
054456,000781: 12,2346           44545        KEPCONVG           DLOAD    SR4R                                  
054457,000782: 12,2347           00041                                    R1                                    
054458,000783: 12,2350           74225                           DSU      VXSC                                  
054459,000784: 12,2351           00035                                    XSQC(XI)                              
054460,000785: 12,2352           02647                                    URRECT                                
054461,000786: 12,2353           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
054462,000787: 12,2354           00025                                    X                                     
054463,000788: 12,2355           60316                           DSQ      NORM                                  
054464,000789: 12,2356           00047                                    X1                                    
054465,000790: 12,2357           57275                           DMPR     DMPR                                  
054466,000791: 12,2360           00023                                    1/ROOTMU                              
054467,000792: 12,2361           00025                                    X                                     
054468,000793: 12,2362           53605                           DMP      SRR*                                  
054469,000794: 12,2363           00033                                    S(XI)                                 
054470,000795: 12,2364           21572                                    0          -7,1                       
054471,000796: 12,2365           77621                           BDSU                                           
054472,000797: 12,2366           00037                                    T                                     
054473,000798: 12,2367           74352                           SL1      VXSC                                  
054474,000799: 12,2370           01511                                    VRECT                                 
054475,000800: 12,2371           53372                           VSL1     VAD                                   #                                PL AT 0
054476,000801: 12,2372           77712                           VSL4                                           
054477,000802: 12,2373           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
054478,000803: 
054479,000804: 12,2374           60246                           ABVAL    NORM                                  
054480,000805: 12,2375           00050                                    X2                                    
054481,000806: 12,2376           16655                           STODL    RCNORM                                
054482,000807: 12,2377           00031                                    XI                                    
054483,000808: 12,2400           45275                           DMPR     DSU                                   
054484,000809: 12,2401           00033                                    S(XI)                                 
054485,000810: 12,2402           11606                                    D1/128                                
054486,000811: 12,2403           76405                           DMP      SL1R                                  
054487,000812: 12,2404           00021                                    ROOTMU                                
054488,000813: 12,2405           53605                           DMP      SLR*                                  

Page 1282

054490,000815: 12,2406           00025                                    X                                     
054491,000816: 12,2407           56601                                    0          -3,2                       
054492,000817: 12,2410           74271                           DDV      VXSC                                  
054493,000818: 12,2411           02655                                    RCNORM                                
054494,000819: 12,2412           02647                                    URRECT                                
054495,000820: 12,2413           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
054496,000821: 12,2414           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
054497,000822: 12,2415           56257                           SLR*     DDV                                   
054498,000823: 12,2416           56602                                    0          -4,2                       
054499,000824: 12,2417           02655                                    RCNORM                                
054500,000825: 12,2420           74221                           BDSU     VXSC                                  
054501,000826: 12,2421           11622                                    D1/256                                
054502,000827: 12,2422           01511                                    VRECT                                 
054503,000828: 12,2423           42455                           VAD      VSL8                                  
054504,000829: 12,2424           77626                           STADR                                          #                                PL AT 0
054505,000830: 12,2425           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
054506,000831: 12,2426           00037                                    T                                     
054507,000832: 12,2427           15551                           STODL    TC                                    
054508,000833: 12,2430           00025                                    X                                     
054509,000834: 12,2431           35553                           STCALL   XPREV                                 
054510,000835: 12,2432           02270                                    KEPRTN                                
054511,000836: 

Page 1283

054513,000838: 12,2433           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
054514,000839: 12,2434           07171                           TC       POLY                                  
054515,000840: 12,2435           00010                           DEC      8          B-14                       
054516,000841: 12,2436           02525 12526                     2DEC     .083333334                            
054517,000842: 
054518,000843: 12,2440           67356 75666                     2DEC     -.266666684                            
054519,000844: 
054520,000845: 12,2442           15001 23771                     2DEC     .406349155                            
054521,000846: 
054522,000847: 12,2444           64342 43674                     2DEC     -.361198675                            
054523,000848: 
054524,000849: 12,2446           06563 04645                     2DEC     .210153242                            
054525,000850: 
054526,000851: 12,2450           75173 52672                     2DEC     -.086221951                            
054527,000852: 
054528,000853: 12,2452           00656 14331                     2DEC     .026268812                            
054529,000854: 
054530,000855: 12,2454           77633 40512                     2DEC     -.006163316                            
054531,000856: 
054532,000857: 12,2456           00023 11210                     2DEC     .001177342                            
054533,000858: 
054534,000859: 12,2460           77774 67506                     2DEC     -.000199055                            
054535,000860: 
054536,000861: 12,2462           06006                           TC       INTPRET                               
054537,000862: 12,2463           14033                           STODL    S(XI)                                 
054538,000863: 12,2464           00031                                    XI                                    
054539,000864: 12,2465           77776                           EXIT                                           
054540,000865: 12,2466           07171                           TC       POLY                                  
054541,000866: 12,2467           00010                           DEC      8          B-14                       
054542,000867: 12,2470           01000 00000                     2DEC     .031250001                            
054543,000868: 
054544,000869: 12,2472           72525 52506                     2DEC     -.166666719                            
054545,000870: 
054546,000871: 12,2474           13301 15337                     2DEC     .355555413                            
054547,000872: 
054548,000873: 12,2476           62776 54733                     2DEC     -.406347410                            
054549,000874: 
054550,000875: 12,2500           11176 13267                     2DEC     .288962094                            
054551,000876: 
054552,000877: 12,2502           73410 51674                     2DEC     -.140117894                            
054553,000878: 
054554,000879: 12,2504           01446 33641                     2DEC     .049247387                            
054555,000880: 
054556,000881: 12,2506           77451 65233                     2DEC     -.013081923                            
054557,000882: 
054558,000883: 12,2510           00055 37266                     2DEC     .002806389                            
054559,000884: 
054560,000885: 12,2512           77767 52336                     2DEC     -.000529414                            
054561,000886: 
054562,000887: 12,2514           06006                           TC       INTPRET                               

Page 1284

054564,000889: 12,2515           53605                           DMP      SRR*                                  #                                PL AT 0
054565,000890: 12,2516           00001                                    0D                                    
054566,000891: 12,2517           21574                                    0          -5,1                       
054567,000892: 12,2520           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
054568,000893: 12,2521           72405                           DMP      SL1                                   
054569,000894: 12,2522           00043                                    KEPC1                                 
054570,000895: 12,2523           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
054571,000896: 12,2524           45565                                    TPMODE                                #                                PL AT 0,3
054572,000897: 12,2525           53605                           DMP      SRR*                                  
054573,000898: 12,2526           00033                                    S(XI)                                 
054574,000899: 12,2527           21574                                    0          -5,1                       
054575,000900: 12,2530           72405                           DMP      SL1                                   
054576,000901: 12,2531           00045                                    KEPC2                                 
054577,000902: 12,2532           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
054578,000903: 12,2533           45565                                    TPMODE                                
054579,000904: 12,2534           00041                                    R1                                    
054580,000905: 12,2535           76261                           SR       TAD                                   #                                PL AT 3
054581,000906: 12,2536           20607                                    6                                     
054582,000907: 12,2537           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
054583,000908: 12,2540           00047                                    X1                                    
054584,000909: 12,2541           00025                                    X                                     
054585,000910: 12,2542           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
054586,000911: 12,2543           20576                                    0          -3,1                       
054587,000912: 12,2544           57232                           SL4R     DMPR                                  
054588,000913: 12,2545           00023                                    1/ROOTMU                              
054589,000914: 12,2546           00037                           STORE    T                                     
054590,000915: 12,2547           77616                           RVQ                                            
054591,000916: 

Page 1285

054593,000918: 12,2550           71214        ITERATOR           BONCLR   DLOAD                                 
054594,000919: 12,2551           00614                                    SLOPESW                               
054595,000920: 12,2552           24620                                    FIRSTIME                              
054596,000921: 12,2553           00037                                    DEP                                   
054597,000922: 12,2554           60225                           DSU      NORM                                  
054598,000923: 12,2555           02764                                    DEPREV                                
054599,000924: 12,2556           00047                                    X1                                    
054600,000925: 12,2557           60325                           PDDL     NORM                                  
054601,000926: 12,2560           00015                                    DELINDEP                              
054602,000927: 12,2561           00050                                    X2                                    
054603,000928: 12,2562           41260                           XSU,1    DMP                                   
054604,000929: 12,2563           00047                                    X2                                    
054605,000930: 12,2564           02762                                    DELDEP                                
054606,000931: 12,2565           56257                           SLR*     DDV                                   #                                PL UP 2
054607,000932: 12,2566           21202                                    1,1                                   
054608,000933: 12,2567           43142                           SR1      BOFF                                  
054609,000934: 12,2570           04351                                    ORDERSW                               
054610,000935: 12,2571           24574                                    SGNCHECK                              
054611,000936: 12,2572           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
054612,000937: 12,2573           02762                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
054613,000938: 
054614,000939: 12,2574           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
054615,000940: 12,2575           24632                                    POSDEL                                
054616,000941: 12,2576           43145                           DLOAD    BON                                   
054617,000942: 12,2577           03775                                    INDEP                                 
054618,000943: 12,2600           04311                                    ORDERSW                               
054619,000944: 12,2601           24603                                    MINCHECK                              
054620,000945: 12,2602           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
054621,000946: 
054622,000947: 12,2603           45221        MINCHECK           BDSU     DSU                                   
054623,000948: 12,2604           00011                                    MIN                                   
054624,000949: 12,2605           51000                           BOV      BPL                                   
054625,000950: 12,2606           24612                                    MODNGDEL                              
054626,000951: 12,2607           24612                                    MODNGDEL                              
054627,000952: 12,2610           77650                           GOTO                                           
054628,000953: 12,2611           24644                                    DELOK                                 
054629,000954: 
054630,000955: 12,2612           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
054631,000956: 12,2613           00011                                    MIN                                   
054632,000957: 12,2614           03775                                    INDEP                                 
054633,000958: 12,2615           52005                           DMP      GOTO                                  
054634,000959: 12,2616           11624                                    DP9/10                                
054635,000960: 12,2617           24646                                    NEWDEL                                
054636,000961: 
054637,000962: 12,2620           41345        FIRSTIME           DLOAD    DMP                                   
054638,000963: 12,2621           00011                                    MIN                                   
054639,000964: 12,2622           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
054640,000965: 12,2623           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1286

054642,000967: 12,2624           00017                                    MAX                                   
054643,000968: 12,2625           00051                                    TWEEKIT                               
054644,000969: 12,2626           77625                           DSU                                            
054645,000970: 12,2627           52165                           SIGN     GOTO                                  
054646,000971: 12,2630           02762                                    DELDEP                                
054647,000972: 12,2631           24574                                    SGNCHECK                              
054648,000973: 
054649,000974: 12,2632           43145        POSDEL             DLOAD    BON                                   
054650,000975: 12,2633           03775                                    INDEP                                 
054651,000976: 12,2634           04311                                    ORDERSW                               
054652,000977: 12,2635           24637                                    MAXCHECK                              
054653,000978: 12,2636           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
054654,000979: 
054655,000980: 12,2637           45221        MAXCHECK           BDSU     DSU                                   
054656,000981: 12,2640           00017                                    MAX                                   
054657,000982: 12,2641           50000                           BOV      BMN                                   
054658,000983: 12,2642           24650                                    MODPSDEL                              
054659,000984: 12,2643           24650                                    MODPSDEL                              
054660,000985: 12,2644           77745        DELOK              DLOAD                                          
054661,000986: 12,2645           00001                                    0D                                    
054662,000987: 12,2646           00015        NEWDEL             STORE    DELINDEP                              
054663,000988: 12,2647           77616                           RVQ                                            
054664,000989: 
054665,000990: 12,2650           45345        MODPSDEL           DLOAD    DSU                                   
054666,000991: 12,2651           00017                                    MAX                                   
054667,000992: 12,2652           03775                                    INDEP                                 
054668,000993: 12,2653           52005                           DMP      GOTO                                  
054669,000994: 12,2654           11624                                    DP9/10                                
054670,000995: 12,2655           24646                                    NEWDEL                                
054671,000996: 
054672,000997: 12,2656           45017        CHECKCTR           CS       ONE                                   
054673,000998: 12,2657           50120                           INDEX    FIXLOC                                
054674,000999: 12,2660           60026                           AD       ITERCTR                               
054675,001000: 12,2661           50120                           INDEX    FIXLOC                                
054676,001001: 12,2662           54026                           TS       ITERCTR                               
054677,001002: 12,2663           54154                           TS       MPAC                                  
054678,001003: 12,2664           06030                           TC       DANZIG                                
054679,001004: 

Page 1287

054681,001006: 12,2665           44545        NEWSTATE           DLOAD    SR4R                                  
054682,001007: 12,2666           00041                                    R1                                    
054683,001008: 12,2667           74225                           DSU      VXSC                                  
054684,001009: 12,2670           00035                                    XSQC(XI)                              
054685,001010: 12,2671           02724                                    UR1                                   
054686,001011: 12,2672           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
054687,001012: 12,2673           00025                                    X                                     
054688,001013: 12,2674           60316                           DSQ      NORM                                  
054689,001014: 12,2675           00047                                    X1                                    
054690,001015: 12,2676           57275                           DMPR     DMPR                                  
054691,001016: 12,2677           00023                                    1/ROOTMU                              
054692,001017: 12,2700           00025                                    X                                     
054693,001018: 12,2701           53605                           DMP      SRR*                                  
054694,001019: 12,2702           00033                                    S(XI)                                 
054695,001020: 12,2703           21572                                    0          -7,1                       
054696,001021: 12,2704           77621                           BDSU                                           
054697,001022: 12,2705           00037                                    T                                     
054698,001023: 12,2706           74352                           SL1      VXSC                                  
054699,001024: 12,2707           02746                                    VVEC                                  
054700,001025: 12,2710           53372                           VSL1     VAD                                   #                                PL AT 0
054701,001026: 12,2711           41512                           VSL4     PUSH                                  
054702,001027: 12,2712           77646                           ABVAL                                          
054703,001028: 12,2713           77701        LAMENTER           NORM                                           
054704,001029: 12,2714           00047                                    X1                                    
054705,001030: 12,2715           16722                           STODL    R2                                    
054706,001031: 12,2716           00031                                    XI                                    
054707,001032: 12,2717           45205                           DMP      DSU                                   
054708,001033: 12,2720           00033                                    S(XI)                                 
054709,001034: 12,2721           11606                                    D1/128                                
054710,001035: 12,2722           76405                           DMP      SL1R                                  
054711,001036: 12,2723           00021                                    ROOTMU                                
054712,001037: 12,2724           53605                           DMP      SLR*                                  
054713,001038: 12,2725           00025                                    X                                     
054714,001039: 12,2726           21176                                    0          -3,1                       
054715,001040: 12,2727           74271                           DDV      VXSC                                  
054716,001041: 12,2730           02722                                    R2                                    
054717,001042: 12,2731           02724                                    UR1                                   
054718,001043: 12,2732           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
054719,001044: 12,2733           00035                                    XSQC(XI)                              
054720,001045: 12,2734           56257                           SLR*     DDV                                   
054721,001046: 12,2735           21175                                    0          -4,1                       
054722,001047: 12,2736           02722                                    R2                                    
054723,001048: 12,2737           77621                           BDSU                                           
054724,001049: 12,2740           11622                                    D1/256                                
054725,001050: 12,2741           53361                           VXSC     VAD                                   
054726,001051: 12,2742           02746                                    VVEC                                  #                                PL AT 6
054727,001052: 12,2743           43412                           VSL8     RVQ                                   
054728,001053: 

Page 1288

054730,001055: 04,2000                                           SETLOC   CONICS1                               
054731,001056: 04,2000                                           BANK                                           
054732,001057: 
054733,001058: 04,3602                                           COUNT    04/CONIC                              
054734,001059:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
054735,001060: 04,3602           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
054736,001061: 04,3603           04000 00000  D1/8               2DEC     1.0        B-3                        
054737,001062: 
054738,001063: 04,3605           00200 00000  D1/128             2DEC     1.0        B-7                        
054739,001064: 
054740,001065: 04,3607           00400 00000  D1/64              2DEC     1.0        B-6                        
054741,001066: 
054742,001067: 04,3611           10000 00000  D1/4               2DEC     1.0        B-2                        
054743,001068: 
054744,001069: 04,3613           02000 00000  D1/16              2DEC     1.0        B-4                        
054745,001070: 
054746,001071: 04,3615           01000 00000  D1/32              2DEC     1.0        B-5                        
054747,001072: 
054748,001073: 04,3617           00020 00000  D1/1024            2DEC     1.0        B-10                       
054749,001074: 
054750,001075: 04,3621           00100 00000  D1/256             2DEC     1.0        B-8                        
054751,001076: 
054752,001077: 04,3623           34631 23146  DP9/10             2DEC     .9                                    
054753,001078: 
054754,001079: 04,3625  04,3565               KEPZERO            EQUALS   LO6ZEROS                              
054755,001080: 04,3625           77467 77777  -50SC              2DEC     -50.0      B-12                       
054756,001081: 
054757,001082: 04,3627           03110 17665  2PISC              2DEC     6.28318530 B-6                        
054758,001083: 
054759,001084: 04,3631  04,3614               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
054760,001085: 04,3631  04,3620               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
054761,001086: 04,3631           00000 00001  ONEBIT             2DEC     1.0        B-28                       
054762,001087: 
054763,001088: 04,3633           37767 37737  COGUPLIM           2DEC     .999511597                            
054764,001089: 
054765,001090: 04,3635           40010 40040  COGLOLIM           2DEC     -.999511597                            
054766,001091: 

Page 1289

054768,001093: 12,2000                                           SETLOC   CONICS                                
054769,001094: 12,2000                                           BANK                                           
054770,001095: 
054771,001096: 12,2744                                           COUNT    12/CONIC                              
054772,001097: 
054773,001098: 12,2744           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
054774,001099: 12,2745           02712                                    RTNTT                                 
054775,001100: 12,2746           00001                                    0                                     
054776,001101: 12,2747           77600                           BOV                                            
054777,001102: 12,2750           24751                                    +1                                    
054778,001103: 12,2751           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
054779,001104: 12,2752           02657                                    RVEC                                  
054780,001105: 12,2753           02746                                    VVEC                                  
054781,001106: 12,2754           77624                           CALL                                           
054782,001107: 12,2755           11637                                    PARAM                                 
054783,001108: 12,2756           45000                           BOV      CALL                                  
054784,001109: 12,2757           24776                                    COGAOVFL                              #                                PL AT 0
054785,001110: 12,2760           25001                                    GETX                                  
054786,001111: 12,2761           43145        COMMNOUT           DLOAD    BON                                   
054787,001112: 12,2762           00031                                    XI                                    
054788,001113: 12,2763           04310                                    INFINFLG                              
054789,001114: 12,2764           25751                                    ABTCONIC                              
054790,001115: 12,2765           45014                           CLEAR    CALL                                  
054791,001116: 12,2766           04273                                    COGAFLAG                              
054792,001117: 12,2767           24433                                    DELTIME                               
054793,001118: 12,2770           45014                           BON      CALL                                  
054794,001119: 12,2771           03706                                    RVSW                                  
054795,001120: 12,2772           02712                                    RTNTT                                 
054796,001121: 12,2773           24665                                    NEWSTATE                              
054797,001122: 12,2774           77650                           GOTO                                           
054798,001123: 12,2775           02712                                    RTNTT                                 
054799,001124: 
054800,001125: 12,2776           77614        COGAOVFL           SETGO                                          
054801,001126: 12,2777           04033                                    COGAFLAG                              
054802,001127: 12,3000           25751                                    ABTCONIC                              
054803,001128: 04,3637                                           BANK     4                                     
054804,001129: 04,2000                                           SETLOC   CONICS1                               
054805,001130: 04,2000                                           BANK                                           
054806,001131: 04,3637                                           COUNT*   $$/CONIC                              
054807,001132: 04,3637           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
054808,001133: 04,3640           02755                                    RTNPRM                                
054809,001134: 04,3641           03665                                    NORMSW                                
054810,001135: 04,3642           77614                           CLEAR                                          
054811,001136: 04,3643           04273                                    COGAFLAG                              
054812,001137: 04,3644           45131                           SSP      CALL                                  
054813,001138: 04,3645           02675                                    GEOMSGN                               
054814,001139: 04,3646           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
054815,001140: 04,3647           11702                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
054816,001141: 04,3650           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0

Page 1290

054818,001143: 04,3651           56261                           SR       DDV                                   
054819,001144: 04,3652           20606                                    5                                     
054820,001145: 
054821,001146: 04,3653           00045                                    36D                                   
054822,001147: 04,3654           33775                           STOVL*   COGA                                  
054823,001148: 04,3655           11740                                    MUTABLE,1                             
054824,001149: 04,3656           14017                           STODL    1/MU                                  
054825,001150: 04,3657           02722                                    MAGVEC2                               
054826,001151: 04,3660           60316                           DSQ      NORM                                  
054827,001152: 04,3661           00047                                    X1                                    
054828,001153: 04,3662           41275                           DMPR     DMP                                   
054829,001154: 04,3663           00017                                    1/MU                                  
054830,001155: 04,3664           00041                                    R1                                    
054831,001156: 04,3665           77657                           SRR*                                           
054832,001157: 04,3666           21576                                    0          -3,1                       
054833,001158: 04,3667           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
054834,001159: 04,3670           11616                                    D1/32                                 
054835,001160: 04,3671           16744                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
054836,001161: 
054837,001162: 04,3672           60205                           DMP      NORM                                  
054838,001163: 04,3673           00045                                    36D                                   
054839,001164: 04,3674           00047                                    X1                                    
054840,001165: 04,3675           53605                           DMP      SR*                                   
054841,001166: 04,3676           00045                                    36D                                   
054842,001167: 04,3677           20575                                    0          -4,1                       
054843,001168: 04,3700           36742                           STCALL   P                                     #  P (+4)
054844,001169: 04,3701           02755                                    RTNPRM                                
054845,001170: 

Page 1291

054847,001172: 04,3702           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
054848,001173: 04,3703           16714                           STODL    U2                                    #  U2 (+1)
054849,001174: 04,3704           00045                                    36D                                   
054850,001175: 04,3705           26722                           STOVL    MAGVEC2                               #                                PL AT 0
054851,001176: 04,3706           77656                           UNIT                                           
054852,001177: 04,3707           02724                           STORE    UR1                                   #  UR1 (+1)
054853,001178: 04,3710           72441                           DOT      SL1                                   
054854,001179: 04,3711           02714                                    U2                                    
054855,001180: 04,3712           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
054856,001181: 04,3713           00045                                    36D                                   
054857,001182: 04,3714           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
054858,001183: 04,3715           02724                                    UR1                                   
054859,001184: 04,3716           76435                           VXV      VSL1                                  
054860,001185: 04,3717           02714                                    U2                                    
054861,001186: 04,3720           75214                           BON      SIGN                                  
054862,001187: 04,3721           03705                                    NORMSW                                
054863,001188: 04,3722           11734                                    HAVENORM                              
054864,001189: 04,3723           02675                                    GEOMSGN                               
054865,001190: 04,3724           40056                           UNIT     BOV                                   
054866,001191: 04,3725           11732                                    COLINEAR                              
054867,001192: 04,3726           16676        UNITNORM           STODL    UN                                    #  UN (+1)
054868,001193: 04,3727           00045                                    36D                                   
054869,001194: 04,3730           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
054870,001195: 04,3731           02675                                    GEOMSGN                               
054871,001196: 
054872,001197: 04,3732           52162        COLINEAR           VSR1     GOTO                                  
054873,001198: 04,3733           11726                                    UNITNORM                              
054874,001199: 
054875,001200: 04,3734           75246        HAVENORM           ABVAL    SIGN                                  
054876,001201: 04,3735           02675                                    GEOMSGN                               
054877,001202: 04,3736           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
054878,001203: 

Page 1292

054880,001205: 12,3001                                           BANK     12                                    
054881,001206: 12,2000                                           SETLOC   CONICS                                
054882,001207: 12,2000                                           BANK                                           
054883,001208: 
054884,001209: 12,3001                                           COUNT    12/CONIC                              
054885,001210: 
054886,001211: 12,3001           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
054887,001212: 12,3002           00003                                    3                                     
054888,001213: 12,3003           00052                                    S2                                    
054889,001214: 12,3004           00001                                    1                                     
054890,001215: 12,3005           77614                           CLEAR                                          
054891,001216: 12,3006           04276                                    360SW                                 
054892,001217: 12,3007           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
054893,001218: 12,3010           02734                                    CSTH                                  
054894,001219: 12,3011           44342                           SR1      BDSU                                  
054895,001220: 12,3012           11612                                    D1/4                                  
054896,001221: 12,3013           54325                           PDDL     SRR                                   #                                PL AT 4D
054897,001222: 12,3014           02732                                    SNTH                                  
054898,001223: 12,3015           21607                                    6                                     
054899,001224: 12,3016           77671                           DDV                                            #                                PL AT 2
054900,001225: 12,3017           77600                           BOV                                            
054901,001226: 12,3020           25134                                    360CHECK                              
054902,001227: 12,3021           41225                           DSU      DMP                                   
054903,001228: 12,3022           03775                                    COGA                                  #                                PL AT 0
054904,001229: 12,3023           40132                           SL2R     BOV                                   
054905,001230: 12,3024           25134                                    360CHECK                              
054906,001231: 12,3025           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
054907,001232: 12,3026           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
054908,001233: 12,3027           00155                                    MPAC                                  
054909,001234: 12,3030           02744                                    R1A                                   
054910,001235: 12,3031           76202                           SR4      TAD                                   #                                PL AT 2
054911,001236: 12,3032           75440                           BMN      SQRT                                  
054912,001237: 12,3033           25217                                    INFINITY                              
054913,001238: 12,3034           43306                           ROUND    DAD                                   #                                PL AT 0D
054914,001239: 12,3035           61000                           BOV      TIX,2                                 
054915,001240: 12,3036           25132                                    RESETX2                               
054916,001241: 12,3037           25025                                    WLOOP                                 
054917,001242: 
054918,001243: 12,3040           40065                           BDDV     BOV                                   
054919,001244: 12,3041           11606                                    D1/128                                
054920,001245: 12,3042           25217                                    INFINITY                              
054921,001246: 12,3043           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
054922,001247: 12,3044           25217                                    INFINITY                              
054923,001248: 12,3045           77716                           DSQ                                            
054924,001249: 12,3046           41301                           NORM     DMP                                   
054925,001250: 12,3047           00047                                    X1                                    
054926,001251: 12,3050           02744                                    R1A                                   
054927,001252: 12,3051           77457                           SRR*     EXIT                                  
054928,001253: 12,3052           21567                                    0          -10D,1                     

Page 1293

054930,001255: 12,3053           07171                           TC       POLY                                  
054931,001256: 12,3054           00005                           DEC      5          B-14                       
054932,001257: 12,3055           20000 00000                     2DEC     .5                                    
054933,001258: 
054934,001259: 12,3057           72525 52471                     2DEC     -.166666770                            
054935,001260: 
054936,001261: 12,3061           03146 15003                     2DEC     .100000392                            
054937,001262: 
054938,001263: 12,3063           75556 45210                     2DEC     -.071401086                            
054939,001264: 
054940,001265: 12,3065           01615 13553                     2DEC     .055503292                            
054941,001266: 
054942,001267: 12,3067           76371 63777                     2DEC     -.047264098                            
054943,001268: 
054944,001269: 12,3071           01232 27367                     2DEC     .040694204                            
054945,001270: 
054946,001271: 12,3073           06006                           TC       INTPRET                               
054947,001272: 12,3074           76405                           DMP      SL1R                                  #                                PL AT 0D
054948,001273: 12,3075           43006                           PUSH     BON                                   
054949,001274: 12,3076           04316                                    360SW                                 
054950,001275: 12,3077           25204                                    TRUE360X                              
054951,001276: 12,3100           60316        XCOMMON            DSQ      NORM                                  
054952,001277: 12,3101           00047                                    X1                                    
054953,001278: 12,3102           53605                           DMP      SRR*                                  
054954,001279: 12,3103           02744                                    R1A                                   
054955,001280: 12,3104           21565                                    0          -12D,1                     
054956,001281: 12,3105           14031                           STODL    XI                                    #  XI (+6)
054957,001282: 
054958,001283: 12,3106           00041                                    R1                                    
054959,001284: 12,3107           75542                           SR1      SQRT                                  
054960,001285: 12,3110           41306                           ROUND    DMP                                   
054961,001286: 12,3111           77632                           SL4R                                           #                                PL AT 0
054962,001287: 12,3112           00025                           STORE    X                                     #  X (+17 OR +16)
054963,001288: 
054964,001289: 12,3113           60316                           DSQ      NORM                                  
054965,001290: 12,3114           00047                                    X1                                    
054966,001291: 12,3115           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
054967,001292: 12,3116           02742                                    P                                     
054968,001293: 12,3117           00041                                    R1                                    
054969,001294: 12,3120           75452                           SL3      SQRT                                  
054970,001295: 12,3121           56405                           DMP      SL3R                                  
054971,001296: 12,3122           03775                                    COGA                                  
054972,001297: 12,3123           14043                           STODL    KEPC1                                 
054973,001298: 12,3124           02744                                    R1A                                   
054974,001299: 12,3125           43021                           BDSU     CLEAR                                 
054975,001300: 12,3126           11610                                    D1/64                                 
054976,001301: 12,3127           04270                                    INFINFLG                              
054977,001302: 12,3130           00045                           STORE    KEPC2                                 

Page 1294

054979,001304: 12,3131           77616                           RVQ                                            
054980,001305: 
054981,001306: 12,3132           77774        RESETX2            AXT,2                                          
054982,001307: 12,3133           00003                                    3                                     
054983,001308: 
054984,001309: 12,3134           51001        360CHECK           SETPD    BPL                                   
054985,001310: 12,3135           00001                                    0D                                    
054986,001311: 12,3136           25141                                    INVRSEQN                              
054987,001312: 12,3137           77614                           SET                                            
054988,001313: 12,3140           04076                                    360SW                                 
054989,001314: 
054990,001315: 12,3141           75545        INVRSEQN           DLOAD    SQRT                                  
054991,001316: 12,3142           02742                                    P                                     
054992,001317: 12,3143           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
054993,001318: 12,3144           02732                                    SNTH                                  
054994,001319: 12,3145           03775                                    COGA                                  
054995,001320: 12,3146           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
054996,001321: 12,3147           02734                                    CSTH                                  
054997,001322: 12,3150           43202                           SR4      DAD                                   
054998,001323: 12,3151           11616                                    D1/32                                 
054999,001324: 12,3152           41225                           DSU      DMP                                   #                                PL AT 2,0
055000,001325: 12,3153           55301                           NORM     BDDV                                  
055001,001326: 12,3154           00047                                    X1                                    
055002,001327: 12,3155           02732                                    SNTH                                  
055003,001328: 12,3156           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
055004,001329: 12,3157           21174                                    0          -5,1                       
055005,001330: 12,3160           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
055006,001331: 12,3161           14043                           STODL    34D                                   
055007,001332: 12,3162           11614                                    D1/16                                 
055008,001333: 12,3163           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
055009,001334: 12,3164           65234                           RTB      PDDL                                  #                                PL AT 7
055010,001335: 12,3165           45565                                    TPMODE                                
055011,001336: 12,3166           02744                                    R1A                                   
055012,001337: 12,3167           40405                           DMP      SR4                                   
055013,001338: 12,3170           00043                                    34D                                   
055014,001339: 12,3171           77771                           TAD                                            
055015,001340: 12,3172           75440                           BMN      SQRT                                  #                                PL AT 4
055016,001341: 12,3173           25217                                    INFINITY                              
055017,001342: 12,3174           77615                           DAD                                            #                                PL AT 2
055018,001343: 12,3175           60304                           TIX,2    NORM                                  
055019,001344: 12,3176           25163                                    1/WLOOP                               
055020,001345: 12,3177           00047                                    X1                                    
055021,001346: 12,3200           77665                           BDDV                                           
055022,001347: 12,3201           52057                           SLR*     GOTO                                  #                                PL AT 0
055023,001348: 12,3202           21172                                    0          -7,1                       
055024,001349: 12,3203           25043                                    POLYCOEF                              
055025,001350: 

Page 1295

055027,001352: 12,3204           50145        TRUE360X           DLOAD    BMN                                   
055028,001353: 12,3205           02744                                    R1A                                   
055029,001354: 12,3206           25217                                    INFINITY                              
055030,001355: 12,3207           60366                           SQRT     NORM                                  
055031,001356: 12,3210           00047                                    X1                                    
055032,001357: 12,3211           53665                           BDDV     SL*                                   
055033,001358: 12,3212           11630                                    2PISC                                 
055034,001359: 12,3213           20176                                    0          -3,1                       
055035,001360: 12,3214           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
055036,001361: 12,3215           77650                           GOTO                                           
055037,001362: 12,3216           25100                                    XCOMMON                               
055038,001363: 12,3217           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
055039,001364: 12,3220           00001                                    0                                     #  INFINITY IS REQUIRED
055040,001365: 12,3221           25222                                    OVFLCLR                               
055041,001366: 12,3222           43414        OVFLCLR            SET      RVQ                                   
055042,001367: 12,3223           04070                                    INFINFLG                              
055043,001368: 

Page 1296

055045,001370: 12,3224           40220        LAMBERT            STQ      SETPD                                 
055046,001371: 12,3225           02712                                    RTNLAMB                               
055047,001372: 12,3226           00001                                    0D                                    
055048,001373: 12,3227           77600                           BOV                                            
055049,001374: 12,3230           25231                                    +1                                    
055050,001375: 12,3231           76731                           SSP      VLOAD*                                
055051,001376: 12,3232           00027                                    ITERCTR                               
055052,001377: 12,3233           00024                                    20D                                   
055053,001378: 12,3234           11740                                    MUTABLE,1                             
055054,001379: 12,3235           14017                           STODL    1/MU                                  
055055,001380: 12,3236           02673                                    TDESIRED                              
055056,001381: 12,3237           77675                           DMPR                                           
055057,001382: 12,3240           11615                                    BEE19                                 
055058,001383: 12,3241           03777                           STORE    EPSILONL                              
055059,001384: 12,3242           77214                           SET      VLOAD                                 
055060,001385: 12,3243           00474                                    SLOPESW                               
055061,001386: 12,3244           02657                                    R1VEC                                 
055062,001387: 12,3245           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
055063,001388: 12,3246           02665                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
055064,001389: 12,3247           11702                                    GEOM                                  
055065,001390: 12,3250           16732                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
055066,001391: 12,3251           02722                                    MAGVEC2                               
055067,001392: 12,3252           65301                           NORM     PDDL                                  #                                PL AT 4
055068,001393: 12,3253           00047                                    X1                                    
055069,001394: 12,3254           00041                                    R1                                    
055070,001395: 12,3255           56342                           SR1      DDV                                   #                                PL AT 2
055071,001396: 12,3256           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
055072,001397: 12,3257           20173                                    0          -6,1                       
055073,001398: 12,3260           77626                           STADR                                          
055074,001399: 12,3261           75043                           STORE    CSTH                                  #  CSTH (+1)
055075,001400: 12,3262           44342                           SR1      BDSU                                  
055076,001401: 12,3263           11612                                    D1/4                                  
055077,001402: 12,3264           02736                           STORE    1-CSTH                                #  1-CSTH (+2)
055078,001403: 
055079,001404: 12,3265           53106                           ROUND    BZE                                   
055080,001405: 12,3266           25473                                    360LAMB                               
055081,001406: 12,3267           65301                           NORM     PDDL                                  #                                PL AT 4
055082,001407: 12,3270           00047                                    X1                                    
055083,001408: 12,3271           00001                                    0D                                    
055084,001409: 12,3272           56342                           SR1      DDV                                   #                                PL AT 2
055085,001410: 12,3273           75457                           SL*      SQRT                                  
055086,001411: 12,3274           20176                                    0          -3,1                       
055087,001412: 12,3275           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
055088,001413: 12,3276           02732                                    SNTH                                  
055089,001414: 12,3277           20607                                    6                                     
055090,001415: 12,3300           43271                           DDV      DAD                                   #                                PL AT 2
055091,001416: 12,3301           02736                                    1-CSTH                                
055092,001417: 12,3302           77626                           STADR                                          
055093,001418: 12,3303           77760                           STORE    COGAMAX                               
055094,001419: 12,3304           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM

Page 1297

055096,001421: 12,3305           25312                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE
055097,001422: 12,3306           25315                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
055098,001423: 12,3307           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
055099,001424: 12,3310           11634                                    COGUPLIM                              
055100,001425: 12,3311           25315                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
055101,001426: 12,3312           77745        UPLIM              DLOAD                                          
055102,001427: 12,3313           11634                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
055103,001428: 12,3314           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
055104,001429: 12,3315           77745        MAXCOGA            DLOAD                                          
055105,001430: 12,3316           02734                                    CSTH                                  
055106,001431: 12,3317           45261                           SR       DSU                                   #                                PL AT 0
055107,001432: 12,3320           20607                                    6                                     
055108,001433: 12,3321           77626                           STADR                                          
055109,001434: 12,3322           61037                           STODL    CSTH-RHO                              
055110,001435: 12,3323           02675                                    GEOMSGN                               
055111,001436: 12,3324           71240                           BMN      DLOAD                                 
055112,001437: 12,3325           25512                                    LOLIM                                 
055113,001438: 12,3326           02740                                    CSTH-RHO                              
055114,001439: 12,3327           56352                           SL1      DDV                                   
055115,001440: 12,3330           02732                                    SNTH                                  
055116,001441: 12,3331           77600                           BOV                                            
055117,001442: 12,3332           25512                                    LOLIM                                 
055118,001443: 12,3333           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
055119,001444: 12,3334           66214                           BON      SSP                                   
055120,001445: 12,3335           00715                                    GUESSW                                
055121,001446: 12,3336           25477                                    NOGUESS                               
055122,001447: 12,3337           00051                                    TWEEKIT                               
055123,001448: 12,3340           00001                                    00001                                 
055124,001449: 12,3341           77745                           DLOAD                                          
055125,001450: 12,3342           03775                                    COGA                                  
055126,001451: 
055127,001452: 12,3343           77605        LAMBLOOP           DMP                                            
055128,001453: 12,3344           02732                                    SNTH                                  
055129,001454: 12,3345           45342                           SR1      DSU                                   
055130,001455: 12,3346           02740                                    CSTH-RHO                              
055131,001456: 12,3347           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
055132,001457: 12,3350           00047                                    X1                                    
055133,001458: 12,3351           02736                                    1-CSTH                                
055134,001459: 12,3352           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
055135,001460: 12,3353           20170                                    0          -9D,1                      
055136,001461: 12,3354           53040                           BMN      BZE                                   
055137,001462: 12,3355           25431                                    NEGP                                  
055138,001463: 12,3356           25431                                    NEGP                                  
055139,001464: 12,3357           16742                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
055140,001465: 12,3360           03775                                    COGA                                  
055141,001466: 12,3361           43316                           DSQ      DAD                                   
055142,001467: 12,3362           11620                                    D1/1024                               
055143,001468: 12,3363           41301                           NORM     DMP                                   
055144,001469: 12,3364           00047                                    X1                                    

Page 1298

055146,001471: 12,3365           02742                                    P                                     
055147,001472: 12,3366           44257                           SR*      BDSU                                  
055148,001473: 12,3367           20571                                    0          -8D,1                      
055149,001474: 12,3370           11616                                    D1/32                                 
055150,001475: 12,3371           16744                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
055151,001476: 
055152,001477: 12,3372           02742                                    P                                     
055153,001478: 12,3373           45000                           BOV      CALL                                  
055154,001479: 12,3374           25434                                    HIENERGY                              
055155,001480: 12,3375           25001                                    GETX                                  
055156,001481: 12,3376           77745                           DLOAD                                          
055157,001482: 12,3377           00037                                    T                                     
055158,001483: 12,3400           16764                           STODL    TPREV                                 
055159,001484: 12,3401           00031                                    XI                                    
055160,001485: 12,3402           45014                           BON      CALL                                  
055161,001486: 12,3403           04310                                    INFINFLG                              
055162,001487: 12,3404           25431                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
055163,001488: 12,3405           24433                                    DELTIME                               
055164,001489: 12,3406           44200                           BOV      BDSU                                  
055165,001490: 12,3407           25450                                    BIGTIME                               
055166,001491: 12,3410           02673                                    TDESIRED                              
055167,001492: 12,3411           02762                           STORE    TERRLAMB                              
055168,001493: 12,3412           44246                           ABS      BDSU                                  
055169,001494: 12,3413           03777                                    EPSILONL                              
055170,001495: 12,3414           47044                           BPL      RTB                                   
055171,001496: 12,3415           25515                                    INITV                                 
055172,001497: 12,3416           24656                                    CHECKCTR                              
055173,001498: 12,3417           45030                           BHIZ     CALL                                  
055174,001499: 12,3420           25460                                    SUFFCHEK                              
055175,001500: 12,3421           24550                                    ITERATOR                              
055176,001501: 12,3422           53145                           DLOAD    BZE                                   
055177,001502: 12,3423           00155                                    MPAC                                  
055178,001503: 12,3424           25460                                    SUFFCHEK                              
055179,001504: 12,3425           77615                           DAD                                            
055180,001505: 12,3426           03775                                    COGA                                  
055181,001506: 12,3427           37775                           STCALL   COGA                                  
055182,001507: 12,3430           25343                                    LAMBLOOP                              
055183,001508: 
055184,001509: 12,3431           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
055185,001510: 12,3432           00015                                    DCOGA                                 #  BOUND CALCULATION.  TRY NEW COGA.
055186,001511: 12,3433           25453                                    LOENERGY                              
055187,001512: 
055188,001513: 12,3434           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
055189,001514: 12,3435           00001                                    0                                     
055190,001515: 12,3436           03775                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
055191,001516: 12,3437           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
055192,001517: 12,3440           70545        COMMONLM           DLOAD    SR1                                   
055193,001518: 12,3441           00015                                    DCOGA                                 

Page 1299

055195,001520: 12,3442           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
055196,001521: 12,3443           44254                           BZE      BDSU                                  
055197,001522: 12,3444           25460                                    SUFFCHEK                              
055198,001523: 12,3445           03775                                    COGA                                  
055199,001524: 12,3446           37775                           STCALL   COGA                                  
055200,001525: 12,3447           25343                                    LAMBLOOP                              
055201,001526: 
055202,001527: 12,3450           77745        BIGTIME            DLOAD                                          
055203,001528: 12,3451           02764                                    TPREV                                 
055204,001529: 12,3452           00037                           STORE    T                                     
055205,001530: 
055206,001531: 12,3453           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
055207,001532: 12,3454           00001                                    0                                     
055208,001533: 12,3455           03775                                    COGA                                  #  IN OVERFLOW OF TIME.
055209,001534: 12,3456           34017                           STCALL   COGAMAX                               #  THIS IS THE NEW BOUND.
055210,001535: 12,3457           25440                                    COMMONLM                              
055211,001536: 
055212,001537: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
055213,001538: 12,3461           02762                                    TERRLAMB                              
055214,001539: 12,3462           41325                           PDDL     DMP                                   
055215,001540: 12,3463           02673                                    TDESIRED                              #                                PL AT 2D
055216,001541: 12,3464           11612                                    D1/4                                  
055217,001542: 12,3465           45215                           DAD      DSU                                   #                                PL AT 0D
055218,001543: 12,3466           11632                                    ONEBIT                                
055219,001544: 12,3467           43044                           BPL      SETGO                                 
055220,001545: 12,3470           25515                                    INITV                                 
055221,001546: 12,3471           02434                                    SOLNSW                                
055222,001547: 12,3472           02712                                    RTNLAMB                               
055223,001548: 
055224,001549: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
055225,001550: 12,3474           00001                                    0                                     
055226,001551: 12,3475           02434                                    SOLNSW                                
055227,001552: 12,3476           02712                                    RTNLAMB                               
055228,001553: 
055229,001554: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
055230,001555: 12,3500           00051                                    TWEEKIT                               
055231,001556: 12,3501           10000                                    20000                                 
055232,001557: 12,3502           00011                                    COGAMIN                               
055233,001558: 12,3503           65342                           SR1      PDDL                                  #                                PL AT 2
055234,001559: 12,3504           00017                                    COGAMAX                               
055235,001560: 12,3505           43342                           SR1      DAD                                   
055236,001561: 12,3506           77626                           STADR                                          #                                PL AT 0
055237,001562: 12,3507           74002                           STORE    COGA                                  
055238,001563: 12,3510           34015                           STCALL   DCOGA                                 
055239,001564: 12,3511           25343                                    LAMBLOOP                              

Page 1300

055241,001566: 12,3512           52145        LOLIM              DLOAD    GOTO                                  
055242,001567: 12,3513           11636                                    COGLOLIM                              #  COGLOLIM=-.999511597
055243,001568: 12,3514           25333                                    MINCOGA                               
055244,001569: 
055245,001570: 12,3515           60345        INITV              DLOAD    NORM                                  
055246,001571: 12,3516           00041                                    R1                                    
055247,001572: 12,3517           00047                                    X1                                    
055248,001573: 12,3520           70525                           PDDL     SR1                                   #                                PL AT 2
055249,001574: 12,3521           02742                                    P                                     
055250,001575: 12,3522           77671                           DDV                                            #                                PL AT 0
055251,001576: 12,3523           75457                           SL*      SQRT                                  
055252,001577: 12,3524           20175                                    0          -4,1                       
055253,001578: 12,3525           72405                           DMP      SL1                                   
055254,001579: 12,3526           00021                                    ROOTMU                                
055255,001580: 12,3527           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
055256,001581: 12,3530           03775                                    COGA                                  
055257,001582: 12,3531           74261                           SL       VXSC                                  
055258,001583: 12,3532           20206                                    5                                     
055259,001584: 12,3533           02724                                    UR1                                   
055260,001585: 12,3534           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
055261,001586: 12,3535           76561                           VXSC     VSL1                                  
055262,001587: 12,3536           02676                                    UN                                    
055263,001588: 12,3537           53235                           VXV      VAD                                   
055264,001589: 12,3540           02724                                    UR1                                   #                                PL AT 0
055265,001590: 12,3541           43172                           VSL1     CLEAR                                 
055266,001591: 12,3542           02674                                    SOLNSW                                
055267,001592: 12,3543           02746                           STORE    VVEC                                  
055268,001593: 12,3544           53135                           SLOAD    BZE                                   
055269,001594: 12,3545           02704                                    VTARGTAG                              
055270,001595: 12,3546           25551                                    TARGETV                               
055271,001596: 12,3547           77650                           GOTO                                           
055272,001597: 12,3550           02712                                    RTNLAMB                               
055273,001598: 
055274,001599: 12,3551           45145        TARGETV            DLOAD    CALL                                  
055275,001600: 12,3552           02722                                    MAGVEC2                               
055276,001601: 12,3553           24713                                    LAMENTER                              
055277,001602: 12,3554           36705                           STCALL   VTARGET                               
055278,001603: 12,3555           02712                                    RTNLAMB                               
055279,001604: 

Page 1301

055281,001606: 12,3556           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
055282,001607: 12,3557           02712                                    RTNTR                                 
055283,001608: 12,3560           00001                                    0                                     
055284,001609: 12,3561           77600                           BOV                                            
055285,001610: 12,3562           25563                                    +1                                    
055286,001611: 12,3563           63375                           VLOAD    PDVL                                  #                                PL AT 6
055287,001612: 12,3564           02657                                    RVEC                                  
055288,001613: 12,3565           02746                                    VVEC                                  
055289,001614: 12,3566           77624                           CALL                                           
055290,001615: 12,3567           11637                                    PARAM                                 
055291,001616: 12,3570           71200                           BOV      DLOAD                                 
055292,001617: 12,3571           24776                                    COGAOVFL                              #                                PL AT 0
055293,001618: 12,3572           11616                                    D1/32                                 
055294,001619: 12,3573           41225                           DSU      DMP                                   
055295,001620: 12,3574           02744                                    R1A                                   
055296,001621: 12,3575           02742                                    P                                     
055297,001622: 12,3576           41366                           SQRT     DMP                                   
055298,001623: 12,3577           03775                                    COGA                                  
055299,001624: 12,3600           74212                           SL4      VXSC                                  
055300,001625: 12,3601           02714                                    U2                                    
055301,001626: 12,3602           45325                           PDDL     DSU                                   #                                PL AT 6
055302,001627: 12,3603           11610                                    D1/64                                 
055303,001628: 12,3604           02744                                    R1A                                   
055304,001629: 12,3605           52361                           VXSC     VSU                                   #                                PL AT 0
055305,001630: 12,3606           02724                                    UR1                                   
055306,001631: 12,3607           53512                           VSL4     UNIT                                  
055307,001632: 12,3610           77600                           BOV                                            
055308,001633: 12,3611           25667                                    CIRCULAR                              
055309,001634: 12,3612           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
055310,001635: 12,3613           02760                                    RDESIRED                              #  36D=ECC (+3)
055311,001636: 12,3614           00047                                    X1                                    
055312,001637: 12,3615           41325                           PDDL     DMP                                   #                                PL AT 8
055313,001638: 12,3616           00041                                    R1                                    
055314,001639: 12,3617           02742                                    P                                     
055315,001640: 12,3620           56257                           SL*      DDV                                   #                                PL AT 6
055316,001641: 12,3621           20201                                    0,1                                   
055317,001642: 12,3622           56225                           DSU      DDV                                   
055318,001643: 12,3623           11614                                    D1/16                                 
055319,001644: 12,3624           00045                                    36D                                   #  36D=ECC (+3)
055320,001645: 12,3625           00031                           STORE    COSF                                  
055321,001646: 12,3626           63400                           BOV      DSQ                                   
055322,001647: 12,3627           25673                                    BADR2                                 
055323,001648: 12,3630           50021                           BDSU     BMN                                   
055324,001649: 12,3631           11612                                    D1/4                                  
055325,001650: 12,3632           25673                                    BADR2                                 
055326,001651: 12,3633           75366                           SQRT     SIGN                                  
055327,001652: 12,3634           02757                                    SGNRDOT                               
055328,001653: 12,3635           77614                           CLEAR                                          
055329,001654: 12,3636           04272                                    APSESW                                
055330,001655: 

Page 1302

055332,001657: 12,3637           76561        TERMNVEC           VXSC     VSL1                                  
055333,001658: 12,3640           02676                                    UN                                    
055334,001659: 12,3641           63235                           VXV      PDVL                                  #  VXCH WITH 0D          PL AT 0,6
055335,001660: 12,3642           00001                                    0D                                    
055336,001661: 12,3643           53361                           VXSC     VAD                                   #                        PL AT 0
055337,001662: 12,3644           00031                                    COSF                                  
055338,001663: 12,3645           41572                           VSL1     PUSH                                  #  0D=U2                 PL AT 6
055339,001664: 
055340,001665: 12,3646           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
055341,001666: 12,3647           02724                                    UR1                                   
055342,001667: 12,3650           23756                                    DP1/4                                 
055343,001668: 12,3651           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
055344,001669: 12,3652           25653                                    +1                                    #  CLEAR OVFIND IF SET
055345,001670: 12,3653           26734                           STOVL    CSTH                                  #  CSTH (+1)
055346,001671: 12,3654           02724                                    UR1                                   
055347,001672: 12,3655           76435                           VXV      VSL1                                  
055348,001673: 12,3656           72441                           DOT      SL1                                   
055349,001674: 12,3657           02676                                    UN                                    
055350,001675: 12,3660           16732                           STODL    SNTH                                  #  SNTH (+1)
055351,001676: 12,3661           02742                                    P                                     
055352,001677: 12,3662           77624                           CALL                                           
055353,001678: 12,3663           25001                                    GETX                                  
055354,001679: 12,3664           77614                           CLRGO                                          
055355,001680: 12,3665           02634                                    SOLNSW                                
055356,001681: 12,3666           24761                                    COMMNOUT                              
055357,001682: 
055358,001683: 12,3667           43001        CIRCULAR           SETPD    SETGO                                 
055359,001684: 12,3670           00001                                    0                                     
055360,001685: 12,3671           02434                                    SOLNSW                                
055361,001686: 12,3672           25751                                    ABTCONIC                              
055362,001687: 
055363,001688: 12,3673           75345        BADR2              DLOAD    SIGN                                  
055364,001689: 12,3674           11564                                    LODPHALF                              
055365,001690: 12,3675           00031                                    COSF                                  
055366,001691: 12,3676           14031                           STODL    COSF                                  
055367,001692: 12,3677           11566                                    KEPZERO                               
055368,001693: 12,3700           77614                           SETGO                                          
055369,001694: 12,3701           04032                                    APSESW                                
055370,001695: 12,3702           25637                                    TERMNVEC                              
055371,001696: 

Page 1303

055373,001698: 12,3703           40220        APSIDES            STQ      SETPD                                 #                        PL AT 0
055374,001699: 12,3704           02712                                    RTNAPSE                               
055375,001700: 12,3705           00001                                    0D                                    
055376,001701: 12,3706           77600                           BOV                                            
055377,001702: 12,3707           25710                                    +1                                    
055378,001703: 12,3710           63375                           VLOAD    PDVL                                  #                        PL AT 6
055379,001704: 12,3711           02657                                    RVEC                                  
055380,001705: 12,3712           02746                                    VVEC                                  
055381,001706: 12,3713           77624                           CALL                                           
055382,001707: 12,3714           11637                                    PARAM                                 
055383,001708: 12,3715           77600                           BOV                                            #                        PL AT 0
055384,001709: 12,3716           25717                                    GETECC                                
055385,001710: 12,3717           42405        GETECC             DMP      SL4                                   
055386,001711: 12,3720           02744                                    R1A                                   
055387,001712: 12,3721           75421                           BDSU     SQRT                                  
055388,001713: 12,3722           11610                                    D1/64                                 
055389,001714: 12,3723           02754                           STORE    ECC                                   
055390,001715: 12,3724           65215                           DAD      PDDL                                  #                        PL AT 2
055391,001716: 12,3725           11604                                    D1/8                                  
055392,001717: 12,3726           00041                                    R1                                    
055393,001718: 12,3727           72405                           DMP      SL1                                   
055394,001719: 12,3730           02742                                    P                                     
055395,001720: 12,3731           77671                           DDV                                            #                        PL AT 0
055396,001721: 12,3732           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)    PL AT 2
055397,001722: 12,3733           02744                                    R1A                                   
055398,001723: 12,3734           00047                                    X1                                    
055399,001724: 12,3735           53725                           PDDL     SL*                                   #                        PL AT 4
055400,001725: 12,3736           00041                                    R1                                    
055401,001726: 12,3737           20174                                    0          -5,1                       
055402,001727: 12,3740           45271                           DDV      DSU                                   #                        PL AT 2,0
055403,001728: 12,3741           50000                           BOV      BMN                                   
055404,001729: 12,3742           25746                                    INFINAPO                              
055405,001730: 12,3743           25746                                    INFINAPO                              
055406,001731: 12,3744           77650                           GOTO                                           
055407,001732: 12,3745           02712                                    RTNAPSE                               
055408,001733: 12,3746           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
055409,001734: 12,3747           11577                                    LDPOSMAX                              
055410,001735: 12,3750           02712                                    RTNAPSE                               #  THAT PL IS AT 0.
055411,001736: 

Page 1304

055413,001738: 12,3751           77776        ABTCONIC           EXIT                                           
055414,001739: 12,3752           05721                           TC       POODOO                                
055415,001740: 12,3753           00607                           OCT      00607                                 
055416,001741: 

Page 1305

055418,001743: 04,2000                                           SETLOC   CONICS1                               
055419,001744: 04,2000                                           BANK                                           
055420,001745: 
055421,001746: 04,3737                                           COUNT    04/CONIC                              
055422,001747: 
055423,001748: 04,3737           22437 16067  MUTABLE            2DEC*    3.986032   E10        B-36*           #  MUE
055424,001749: 
055425,001750: 04,3741           15625 21042                     2DEC*    .25087606  E-10       B+34*           #  1/MUE
055426,001751: 
055427,001752: 04,3743           30276 04773                     2DEC*    1.99650495 E5         B-18*           #  SQRT(MUE)
055428,001753: 
055429,001754: 04,3745           25004 06702                     2DEC*    .50087529  E-5        B+17*           #  1/SQRT(MUE)
055430,001755: 
055431,001756: 04,3747           16471 01352                     2DEC     4.902778   E8         B-30            #  MUM
055432,001757: 
055433,001758: 04,3751           21412 20500                     2DEC     .203966    E-8        B+28            #  1/MUM
055434,001759: 
055435,001760: 04,3753           25477 03367                     2DEC*    2.21422176 E4         B-15*           #  SQRT(MUM)
055436,001761: 
055437,001762: 04,3755           27533 07571                     2DEC*    .45162595  E-4        B+14*           #  1/SQRT(MUM)
055438,001763: 
055439,001764: 04,3757  04,3576               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
055440,001765: 
055441,001766:                                                                                                  #  ERASABLE ASSIGNMENTS
055442,001767: 
055443,001768:                                                                                                  #  KEPLER SUBROUTINE
055444,001769: 
055445,001770:                                                                                                  #  INPUT -
055446,001771:                                                                                                  #  RRECT         ERASE   +5
055447,001772:                                                                                                  #  VRECT         ERASE   +5
055448,001773:                                                                                                  #  TAU.          ERASE   +1
055449,001774:                                                                                                  #  XKEP          ERASE   +1
055450,001775:                                                                                                  #  TC            ERASE   +1
055451,001776:                                                                                                  #  XPREV         ERASE   +1
055452,001777: 04,3757                        1/MU               EQUALS   14D                                   
055453,001778: 04,3757                        ROOTMU             EQUALS   16D                                   
055454,001779: 04,3757                        1/ROOTMU           EQUALS   18D                                   
055455,001780: 
055456,001781:                                                                                                  #  OUTPUT -
055457,001782:                                                                                                  #  RCV           ERASE   +5
055458,001783:                                                                                                  #  VCV           ERASE   +5
055459,001784:                                                                                                  #  RC            ERASE   +1
055460,001785:                                                                                                  #  XPREV         ERASE   +1
055461,001786: 
055462,001787:                                                                                                  #  DEBRIS -
055463,001788: 04,3757                        ALPHA              EQUALS   8D                                    
055464,001789: 04,3757                        XMAX               EQUALS   10D                                   

Page 1306

055466,001791: 04,3757                        XMIN               EQUALS   12D                                   
055467,001792: 04,3757                        X                  EQUALS   20D                                   
055468,001793: 04,3757                        XI                 EQUALS   24D                                   
055469,001794: 04,3757                        S(XI)              EQUALS   26D                                   
055470,001795: 04,3757                        XSQC(XI)           EQUALS   28D                                   
055471,001796: 04,3757                        T                  EQUALS   30D                                   
055472,001797: 04,3757                        R1                 EQUALS   32D                                   
055473,001798: 04,3757                        KEPC1              EQUALS   34D                                   
055474,001799: 04,3757                        KEPC2              EQUALS   36D                                   
055475,001800: 
055476,001801:                                                                                                  #  DELX          ERASE   +1
055477,001802:                                                                                                  #  DELT          ERASE   +1
055478,001803:                                                                                                  #  URRECT        ERASE   +5
055479,001804:                                                                                                  #  RCNORM        ERASE   +1
055480,001805:                                                                                                  #  XPREV         EQUALS  XKEP
055481,001806: 
055482,001807: 
055483,001808:                                                                                                  #  LAMBERT SUBROUTINE
055484,001809: 
055485,001810:                                                                                                  #  INPUT -
055486,001811:                                                                                                  #  R1VEC         ERASE   +5
055487,001812:                                                                                                  #  R2VEC         ERASE   +5
055488,001813:                                                                                                  #  TDESIRED      ERASE   +1
055489,001814:                                                                                                  #  GEOMSGN       ERASE   +0
055490,001815:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT
055491,001816:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
055492,001817:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
055493,001818:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
055494,001819:                                                                                                  #  VTARGTAG      ERASE   +0
055495,001820:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
055496,001821: 
055497,001822:                                                                                                  #  OUTPUT -
055498,001823:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
055499,001824:                                                                                                  #  V1VEC         EQUALS  MPAC
055500,001825: 
055501,001826:                                                                                                  #  DEBRIS -
055502,001827:                                                                                                  #  RTNLAMB       ERASE   +0
055503,001828:                                                                                                  #  U2            ERASE   +5
055504,001829:                                                                                                  #  MAGVEC2       ERASE   +1
055505,001830:                                                                                                  #  UR1           ERASE   +5
055506,001831:                                                                                                  #  R1            EQUALS  31D
055507,001832:                                                                                                  #  UN            ERASE   +5
055508,001833:                                                                                                  #  SNTH          ERASE   +1
055509,001834:                                                                                                  #  CSTH          ERASE   +1
055510,001835:                                                                                                  #  1-CSTH        ERASE   +1
055511,001836:                                                                                                  #  CSTH-RHO      ERASE   +1
055512,001837: 
055513,001838: 04,3757                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
055514,001839: 04,3757                        COGAMIN            EQUALS   8D                                    
055515,001840: 04,3757                        DCOGA              EQUALS   12D                                   
055516,001841: 
055517,001842:                                                                                                  #  TWEEKIT       EQUALS  40D
055518,001843:                                                                                                  #  P             ERASE   +1

Page 1307

055520,001845:                                                                                                  #  COGA          ERASE   +1
055521,001846:                                                                                                  #  R1A           ERASE   +1
055522,001847:                                                                                                  #  X             EQUALS  20D
055523,001848:                                                                                                  #  XSQ           EQUALS  22D
055524,001849:                                                                                                  #  XI            EQUALS  24D
055525,001850:                                                                                                  #  S(XI)         EQUALS  26D
055526,001851:                                                                                                  #  XSQC(XI)      EQUALS  28D
055527,001852:                                                                                                  #  T             EQUALS  30D
055528,001853:                                                                                                  #  KEPC1         EQUALS  34D
055529,001854:                                                                                                  #  KEPC2         EQUALS  36D
055530,001855:                                                                                                  #  SLOPESW
055531,001856:                                                                                                  #  SOLNSW
055532,001857: 
055533,001858:                                                                                                  #  OTHERS -
055534,001859:                                                                                                  #  RVEC          EQUALS  R1VEC
055535,001860:                                                                                                  #  VVEC          ERASE   +5
055536,001861:                                                                                                  #  COGAFLAG
055537,001862:                                                                                                  #  RVSW
055538,001863:                                                                                                  #  INFINFLG
055539,001864:                                                                                                  #  APSESW
055540,001865:                                                                                                  #  360SW
055541,001866:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
055542,001867:                                                                                                  #  ECC           ERASE   +1
055543,001868:                                                                                                  #  RTNTR         EQUALS  RTNLAMB
055544,001869:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
055545,001870:                                                                                                  #  R2            EQUALS  MAGVEC2
055546,001871: 
055547,001872: 04,3757                        COSF               EQUALS   24D                                   
055548,001873: 
055549,001874:                                                                                                  #  RTNPRM        ERASE   +0
055550,001875:                                                                                                  #  SGNRDOT       ERASE   +0
055551,001876:                                                                                                  #  RDESIRED      ERASE   +1
055552,001877: 
055553,001878: 
055554,001879:                                                                                                  #  ITERATOR SUBROUTINE
055555,001880: 
055556,001881:                                                                                                  #  ORDERSW
055557,001882: 04,3757                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
055558,001883: 04,3757                        MIN                EQUALS   8D                                    
055559,001884: 
055560,001885:                                                                                                  #  INDEP         ERASE   +1
055561,001886: 
055562,001887: 04,3757                        DELINDEP           EQUALS   12D                                   
055563,001888: 04,3757                        ITERCTR            EQUALS   22D                                   
055564,001889: 04,3757                        DEP                EQUALS   30D                                   
055565,001890: 
055566,001891:                                                                                                  #  DELDEP        ERASE   +1
055567,001892:                                                                                                  #  DEPREV        ERASE   +1
055568,001893: 
055569,001894: 04,3757                        TWEEKIT            EQUALS   40D                                   
055570,001895: 
055571,001896: 
055572,001897:                                                                                                  #  MORE KEPLER
055573,001898: 
055574,001899:                                                                                                  #  EPSILONT      ERASE   +1
055575,001900: 

Page 1308

055577,001902:                                                                                                  #  MORE LAMBERT
055578,001903: 
055579,001904:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
055580,001905:                                                                                                  #  TPREV         EQUALS  DEPREV
055581,001906: 
055582,001907:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD
055583,001908: 
055584,001909: 

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