Source Code

These source-code files are part of a reconstructed copy of Luminary 97, the second release of the Apollo 11 Lunar Module (LM) Apollo Guidance Computer (AGC) software. It was created to fix two incorrect ephemeris constants in Luminary 96, as described by anomaly report LNY-59.

The reconstruction began with source code of Luminary 99 revision 1 previously transcribed from a digitized copy of that program. The code was then updated by undoing changes described in original Luminary memos 83 and 85, using asterisks indicating changed lines in the listing as a guide. The reconstruction was verified by matching memory-bank checksums to those listed in drawing 2021152D. Note that page numbers in the reconstructed code match those on the Luminary 099 revision 001 printout, although the added code would likely have changed page numbers for a real Luminary 97 listing.

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

048717,000002:                                                                                                  ## Copyright:   Public domain.
048718,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
048719,000004:                                                                                                  ## Purpose:     A section of Luminary revision 97.
048720,000005:                                                                                                  ##              It is part of the reconstructed source code for the
048721,000006:                                                                                                  ##              second release of the flight software for the Lunar 
048722,000007:                                                                                                  ##              Module's (LM) Apollo Guidance Computer (AGC) for Apollo 11.
048723,000008:                                                                                                  ##              It was created to fix two incorrect ephemeris constants in
048724,000009:                                                                                                  ##              Luminary 96, as described by anomaly report LNY-59.
048725,000010:                                                                                                  ##              The code has been recreated from a copy of Luminary 99
048726,000011:                                                                                                  ##              revision 001, using asterisks indicating changed lines in
048727,000012:                                                                                                  ##              the listing and Luminary Memos #83 and #85, which list 
048728,000013:                                                                                                  ##              changes between Luminary 97 and 98, and 98 and 99. The
048729,000014:                                                                                                  ##              code has been adapted such that the resulting bugger words
048730,000015:                                                                                                  ##              exactly match those specified for Luminary 97 in NASA drawing
048731,000016:                                                                                                  ##              2021152D, which gives relatively high confidence that the
048732,000017:                                                                                                  ##              reconstruction is correct.
048733,000018:                                                                                                  ## Reference:   pp. 1159-1204
048734,000019:                                                                                                  ## Assembler:   yaYUL
048735,000020:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
048736,000021:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
048737,000022:                                                                                                  ## Mod history: 2019-07-28 MAS  Created from Luminary 99.
048738,000023: 

Page 1159

048740,000025:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
048741,000026:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048742,000027:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048743,000028: 
048744,000029:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048745,000030:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
048746,000031:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
048747,000032:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
048748,000033:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
048749,000034:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
048750,000035:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
048751,000036:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
048752,000037:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
048753,000038:                                                                                                  #  TINES APPROPRIATELY.
048754,000039: 
048755,000040:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
048756,000041:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
048757,000042:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
048758,000043: 
048759,000044:                                                                                                  #  RESTRICTIONS -
048760,000045:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
048761,000046:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
048762,000047:                                                                                                  #  TORIES COULD BE HANDLED.
048763,000048: 
048764,000049:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
048765,000050:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
048766,000051:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
048767,000052: 

Page 1160

048769,000054:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
048770,000055:                                                                                                  #  MOD NO. -1                                                    LOG SECTION - CONIC SUBROUTINES
048771,000056:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
048772,000057:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
048773,000058:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON:  SUPPRESSION OF X-MODULO-ING
048774,000059:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON:  CLEAR OVFIND AT KEPLER ENTRY
048775,000060: 
048776,000061:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048777,000062:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
048778,000063:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
048779,000064:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
048780,000065:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
048781,000066:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
048782,000067:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
048783,000068: 
048784,000069:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
048785,000070:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
048786,000071: 
048787,000072:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
048788,000073:                                                                                                  #   MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
048789,000074: 
048790,000075:                                                                                                  #  THE RESTRICTIONS ARE -
048791,000076:                                                                                                  #        1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
048792,000077:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
048793,000078:                                                                                                  #           ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048794,000079: 
048795,000080:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
048796,000081:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
048797,000082:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
048798,000083: 
048799,000084:                                                                                                  #  REFERENCES -
048800,000085:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
048801,000086:                                                                                                  #        MEMO 67-4.
048802,000087: 
048803,000088:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048804,000089:                                                                                                  #                        * SCALE FACTOR  *
048805,000090:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *               DESCRIPTION AND REMARKS
048806,000091:                                                                                                  #        --------        *-------------- *               -----------------------
048807,000092:                                                                                                  #        RRECT           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
048808,000093:                                                                                                  #                        * +27 FOR MOON  *

Page 1161

048810,000095:                                                                                                  #        VRECT           * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048811,000096:                                                                                                  #                        * +5 FOR MOON   * 
048812,000097:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048813,000098:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
048814,000099:                                                                                                  #        TAU.            * +28           *       DESIRED TRANSFER TIME IN CENTISECONDS (DP)
048815,000100:                                                                                                  #                        *               *               MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
048816,000101:                                                                                                  #        XKEPNEW         * +17 FOR EARTH *       DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
048817,000102:                                                                                                  #                        * +16 FOR MOON  *               AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
048818,000103:                                                                                                  #                        *               *               MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
048819,000104:                                                                                                  #                        *               *               BY KEPLER TO A POOR BUT VALID GUESS.
048820,000105:                                                                                                  #        TC              * +28           *       DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
048821,000106:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
048822,000107:                                                                                                  #                        * +16 FOR MOON  *               ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
048823,000108: 
048824,000109:                                                                                                  #  SUBROUTINES CALLED -
048825,000110:                                                                                                  #        DELTIME
048826,000111: 
048827,000112:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048828,000113:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048829,000114:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
048830,000115:                                                                                                  #        KEPRTN          ...                     CONTINUE
048831,000116: 
048832,000117:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
048833,000118:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
048834,000119:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
048835,000120: 
048836,000121:                                                                                                  #  ABORT EXIT MODES -
048837,000122:                                                                                                  #        NONE
048838,000123: 
048839,000124:                                                                                                  #  OUTPUT -
048840,000125:                                                                                                  #                        * SCALE FACTOR  *
048841,000126:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048842,000127:                                                                                                  #        --------        *-------------- *       -----------------------
048843,000128:                                                                                                  #        RCV             * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS
048844,000129:                                                                                                  #                        * +27 FOR MOON  *
048845,000130:                                                                                                  #        VCV             * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
048846,000131:                                                                                                  #                        * +5 FOR MOON   *
048847,000132:                                                                                                  #        TC              * +28           *       DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
048848,000133:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
048849,000134:                                                                                                  #                        * +16 FOR MOON  *               CORRESPONDING TO ONE PERIOD.

Page 1162

048851,000136:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048852,000137: 
048853,000138:                                                                                                  #  DEBRIS -
048854,000139:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048855,000140:                                                                                                  #                        * SCALE FACTOR  *
048856,000141:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048857,000142:                                                                                                  #        --------        *-------------- *       -----------------------
048858,000143:                                                                                                  #        URRECT          * +1            *       DP UNIT VECTOR OF INITIAL POSITION
048859,000144:                                                                                                  #        R1              * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION IN METERS
048860,000145:                                                                                                  #                        * +27 FOR MOON  *
048861,000146:                                                                                                  #        ALPHA           * -22 FOR EARTH *       DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
048862,000147:                                                                                                  #                        * -20 FOR MOON  *
048863,000148:                                                                                                  #        TMODULO         * +28           *       DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
048864,000149:                                                                                                  #                        *               *       TAU. OF LESS THAN ONE PERIOD.
048865,000150: 
048866,000151:                                                                                                  #  PARAMETERS OF NO USE -
048867,000152:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
048868,000153: 

Page 1163

048870,000155: 
048871,000156:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
048872,000157:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048873,000158:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048874,000159: 
048875,000160:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048876,000161:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
048877,000162:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
048878,000163:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
048879,000164:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
048880,000165:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
048881,000166:                                                                                                  #  UTILIZED IN THE COMPUTATION.
048882,000167: 
048883,000168:                                                                                                  #  THE RESTRICTIONS ARE -
048884,000169:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
048885,000170:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
048886,000171:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048887,000172:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048888,000173:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
048889,000174:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
048890,000175:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048891,000176: 
048892,000177:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
048893,000178:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                 THE AGC COMPUTATION TIME IS APPROXIMATE-
048894,000179:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
048895,000180: 
048896,000181:                                                                                                  #  REFERENCES -
048897,000182:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
048898,000183:                                                                                                  #        SGA MEMO 67-4.
048899,000184: 
048900,000185:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048901,000186:                                                                                                  #  
048902,000187:                                                                                                  #                        * SCALE FACTOR  *
048903,000188:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048904,000189:                                                                                                  #        --------        *-------------- *       -----------------------
048905,000190:                                                                                                  #        R1VEC           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
048906,000191:                                                                                                  #                        * +27 FOR MOON  *
048907,000192:                                                                                                  #        R2VEC           * +29 FOR EARTH *       DP TARGET OR TERMINAL POSITION VECTOR IN METERS
048908,000193:                                                                                                  #                        * +27 FOR MOON  *
048909,000194:                                                                                                  #        TDESIRED        * +28           *       DP DESIRED TRANSFER TIME IN CENTISECONDS
048910,000195:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048911,000196:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
048912,000197:                                                                                                  #        GEOMSGN         * NONE          *       SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
048913,000198:                                                                                                  #        GUESSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1164

048915,000200:                                                                                                  #                        *               *               COGA IS TO BE USED BY LAMBERT
048916,000201:                                                                                                  #        COGA            * +5            *       DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
048917,000202:                                                                                                  #                                        *       IGNORED IF GUESSW IS SET.
048918,000203:                                                                                                  #        NORMSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
048919,000204:                                                                                                  #                        *               *               LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
048920,000205:                                                                                                  #        UN              * +1            *       DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
048921,000206:                                                                                                  #                        *               *               MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
048922,000207:                                                                                                  #        VTARGTAG        * NONE          *       A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
048923,000208:                                                                                                  #                        *               *               AT R1VEC.
048924,000209:                                                                                                  #        ITERCTR         * NONE          *       A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
048925,000210:                                                                                                  #                        *               *               (AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
048926,000211:                                                                                                  #                        *               *               ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
048927,000212:                                                                                                  #                        *               *               TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
048928,000213: 
048929,000214:                                                                                                  #  SUBROUTINES CALLED -
048930,000215:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
048931,000216: 
048932,000217:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048933,000218:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048934,000219:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
048935,000220:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
048936,000221:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
048937,000222:                                                                                                  #        L+3             SOLNSW
048938,000223:                                                                                                  #        L+4             LAMABORT
048939,000224: 
048940,000225:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
048941,000226:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
048942,000227: 
048943,000228:                                                                                                  #  ABORT EXIT MODES -
048944,000229:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
048945,000230:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
048946,000231:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
048947,000232:                                                                                                  #  LAMABORT      DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
048948,000233:                                                                                                  #                        1-CSTH          360 DEGREES.
048949,000234:                                                                                                  #                DSU     BMN
048950,000235:                                                                                                  #                        ONEBIT
048951,000236:                                                                                                  #                        CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
048952,000237:                                                                                                  #                DLOAD   DAD
048953,000238:                                                                                                  #                        TDESIRED
048954,000239:                                                                                                  #                        SOMETIME
048955,000240:                                                                                                  #                STCALL  TDESIRED        INCREASE TDESIRED
048956,000241:                                                                                                  #                        LAMBERT
048957,000242: 

Page 1165

048959,000244:                                                                                                  #  OUTPUT -
048960,000245:                                                                                                  #                        * SCALE FACTOR  *
048961,000246:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048962,000247:                                                                                                  #        --------        *-------------- *       -----------------------
048963,000248:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
048964,000249:                                                                                                  #                        * +5 FOR MOON   *               PROBLEM.
048965,000250:                                                                                                  #        VTARGET         * +7 FOR EARTH  *       DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
048966,000251:                                                                                                  #                        * +5 FOR MOON   *
048967,000252:                                                                                                  #        SOLNSW          * NONE          *       INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
048968,000253:                                                                                                  #                        *               *               SOLUTION EXISTS.
048969,000254: 
048970,000255:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048971,000256: 
048972,000257:                                                                                                  #  DEBRIS -
048973,000258:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048974,000259: 
048975,000260:                                                                                                  #                        * SCALE FACTOR  *
048976,000261:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048977,000262:                                                                                                  #        --------        *-------------- *       -----------------------
048978,000263:                                                                                                  #        SNTH            * +1            *       DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
048979,000264:                                                                                                  #        CSTH            * +1            *       DP COSINE OF ANGLE
048980,000265:                                                                                                  #        1-CSTH          * +2            *       DP 1-CSTH
048981,000266:                                                                                                  #        COGA            * +5            *       DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
048982,000267:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
048983,000268:                                                                                                  #        R1A             * +6            *       DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
048984,000269:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP INITIAL RADIUS IN METERS
048985,000270:                                                                                                  #                        * +27 FOR MOON  *
048986,000271:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF R1VEC
048987,000272:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF R2VEC
048988,000273: 
048989,000274:                                                                                                  #        PARAMETERS OF NO USE
048990,000275:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
048991,000276:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
048992,000277: 

Page 1166

048994,000279:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
048995,000280:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048996,000281:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048997,000282: 
048998,000283:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048999,000284:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
049000,000285:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049001,000286:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049002,000287:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049003,000288:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049004,000289:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049005,000290: 
049006,000291:                                                                                                  #  THE RESTRICTIONS ARE -
049007,000292:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049008,000293:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049009,000294:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049010,000295:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049011,000296: 
049012,000297:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
049013,000298: 
049014,000299:                                                                                                  #  REFERENCES -
049015,000300:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049016,000301: 
049017,000302:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049018,000303:                                                                                                  #                        * SCALE FACTOR  *
049019,000304:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049020,000305:                                                                                                  #        --------        *-------------- *       -----------------------
049021,000306:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049022,000307:                                                                                                  #                        * +27 FOR MOON  *
049023,000308:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049024,000309:                                                                                                  #                        * +5 FOR MOON   *
049025,000310:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
049026,000311:                                                                                                  #        CSTH            * +1            *       DP COSINE OF THE ANGLE
049027,000312:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049028,000313:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
049029,000314:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049030,000315:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
049031,000316: 
049032,000317:                                                                                                  #  SUBROUTINES CALLED -

Page 1167

049034,000319:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
049035,000320: 
049036,000321:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049037,000322:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049038,000323:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049039,000324:                                                                                                  #        L+1             RVSW
049040,000325:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
049041,000326:                                                                                                  #        L+3     ...                     CONTINUE
049042,000327: 
049043,000328:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049044,000329:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049045,000330:                                                                                                  #        L+1             RVSW
049046,000331:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049047,000332:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
049048,000333:                                                                                                  #        L+3     STOVL   NEWVVEC
049049,000334:                                                                                                  #        L+4     STADR
049050,000335:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049051,000336:                                                                                                  #        L+6     ...                     CONTINUE
049052,000337: 
049053,000338:                                                                                                  #  ABORT EXIT MODES -
049054,000339:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
049055,000340:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
049056,000341: 
049057,000342:                                                                                                  #  OUTPUT -
049058,000343:                                                                                                  #                        * SCALE FACTOR  *
049059,000344:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049060,000345:                                                                                                  #        --------        *-------------- *       -----------------------
049061,000346:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
049062,000347:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
049063,000348:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049064,000349:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049065,000350:                                                                                                  #                        *               *               CLEAR IF NOT.
049066,000351: 
049067,000352:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
049068,000353:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049069,000354:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
049070,000355:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049071,000356:                                                                                                  #                        * +27 FOR MOON  *
049072,000357: 
049073,000358:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049074,000359: 

Page 1168

049076,000361:                                                                                                  #  DEBRIS -
049077,000362:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049078,000363:                                                                                                  #  
049079,000364:                                                                                                  #                        * SCALE FACTOR  *
049080,000365:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049081,000366:                                                                                                  #        --------        *-------------- *       -----------------------
049082,000367:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049083,000368:                                                                                                  #                        * +27 FOR MOON  *
049084,000369:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049085,000370:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
049086,000371:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049087,000372:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
049088,000373:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
049089,000374:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
049090,000375: 
049091,000376:                                                                                                  #        PARAMETERS OF NO USE -
049092,000377:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049093,000378:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049094,000379: 

Page 1169

049096,000381:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
049097,000382:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
049098,000383:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
049099,000384: 
049100,000385:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049101,000386: 
049102,000387:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
049103,000388:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049104,000389:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049105,000390:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049106,000391:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049107,000392:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049108,000393: 
049109,000394:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
049110,000395:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
049111,000396: 
049112,000397:                                                                                                  #  THE RESTRICTIONS ARE -
049113,000398:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049114,000399:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049115,000400:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049116,000401:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049117,000402:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
049118,000403:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
049119,000404:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
049120,000405: 
049121,000406:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
049122,000407: 
049123,000408:                                                                                                  #  REFERENCES -
049124,000409:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049125,000410: 
049126,000411:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049127,000412:                                                                                                  #                        * SCALE FACTOR  *
049128,000413:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049129,000414:                                                                                                  #        --------        *-------------- *       -----------------------
049130,000415:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049131,000416:                                                                                                  #                        * +27 FOR MOON  *
049132,000417:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049133,000418:                                                                                                  #                        * +5 FOR MOON   *
049134,000419:                                                                                                  #        RDESIRED        * +29 FOR EARTH *       DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
049135,000420:                                                                                                  #                        * +27 FOR MOON  *               COMPUTED.
049136,000421:                                                                                                  #        SGNRDOT         * NONE          *       SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
049137,000422:                                                                                                  #                        *               *               POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1170

049139,000424:                                                                                                  #                        *               *               SINGLE-VALUED PROBLEM.
049140,000425:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049141,000426:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
049142,000427:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049143,000428:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
049144,000429: 
049145,000430:                                                                                                  #  SUBROUTINES CALLED -
049146,000431:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
049147,000432: 
049148,000433:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049149,000434: 
049150,000435:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049151,000436:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049152,000437:                                                                                                  #        L+1             RVSW
049153,000438:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
049154,000439:                                                                                                  #        L+3     ...                     CONTINUE
049155,000440: 
049156,000441:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049157,000442:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049158,000443:                                                                                                  #        L+1             RVSW
049159,000444:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049160,000445:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
049161,000446:                                                                                                  #        L+3     STOVL   NEWVVEC
049162,000447:                                                                                                  #        L+4     STADR
049163,000448:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049164,000449:                                                                                                  #        L+6     ...                     CONTINUE
049165,000450: 
049166,000451:                                                                                                  #  ABORT EXIT MODES -
049167,000452:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
049168,000453:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
049169,000454: 
049170,000455:                                                                                                  #  OUTPUT -
049171,000456:                                                                                                  #                        * SCALE FACTOR  *
049172,000457:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049173,000458:                                                                                                  #        --------        *-------------- *       -----------------------
049174,000459:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
049175,000460:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
049176,000461:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049177,000462:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049178,000463:                                                                                                  #                        *               *               CLEAR IF NOT.
049179,000464:                                                                                                  #        APSESW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1171

049181,000466:                                                                                                  #                        *               *               LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
049182,000467:                                                                                                  #                        *               *               WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
049183,000468:                                                                                                  #                        *               *               APOCENTER.
049184,000469:                                                                                                  #        SOLNSW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
049185,000470:                                                                                                  #                                        *               POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
049186,000471:                                                                                                  #                                        *               MINUS-18, THE SWITCH IS CLEAR.
049187,000472: 
049188,000473:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
049189,000474: 
049190,000475:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049191,000476:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
049192,000477:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049193,000478:                                                                                                  #                        * +27 FOR MOON  *
049194,000479: 
049195,000480:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049196,000481: 
049197,000482:                                                                                                  #  DEBRIS -
049198,000483:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049199,000484: 
049200,000485:                                                                                                  #                        * SCALE FACTOR  *
049201,000486:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049202,000487:                                                                                                  #        --------        *-------------- *       -----------------------
049203,000488:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049204,000489:                                                                                                  #                        * +27 FOR MOON  *
049205,000490:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049206,000491:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
049207,000492:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049208,000493:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
049209,000494:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
049210,000495:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
049211,000496:                                                                                                  #        CSTH            * +1            *       DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
049212,000497:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE ANOMALY DIFFERENCE.
049213,000498: 
049214,000499:                                                                                                  #        PARAMETERS OF NO USE -
049215,000500:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049216,000501:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049217,000502: 
049218,000503: 

Page 1172

049220,000505:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
049221,000506:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
049222,000507:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
049223,000508: 
049224,000509:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049225,000510: 
049226,000511:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
049227,000512:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
049228,000513:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049229,000514:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049230,000515:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049231,000516: 
049232,000517:                                                                                                  #  THE RESTRICTIONS ARE -
049233,000518:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
049234,000519:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
049235,000520:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049236,000521:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049237,000522: 
049238,000523:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
049239,000524: 
049240,000525:                                                                                                  #  REFERENCES -
049241,000526:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
049242,000527: 
049243,000528:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049244,000529:                                                                                                  #                        * SCALE FACTOR  *
049245,000530:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049246,000531:                                                                                                  #        --------        *-------------- *       -----------------------
049247,000532:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049248,000533:                                                                                                  #                        * +27 FOR MOON  *
049249,000534:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049250,000535:                                                                                                  #                        * +5 FOR MOON   *
049251,000536:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049252,000537:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
049253,000538: 
049254,000539:                                                                                                  #  SUBROUTINES CALLED -
049255,000540:                                                                                                  #        PARAM, GEOM
049256,000541: 
049257,000542:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1173

049259,000544:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049260,000545:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049261,000546:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
049262,000547:                                                                                                  #        L+2     STODL   APOAPSE
049263,000548:                                                                                                  #        L+3             0D
049264,000549:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
049265,000550:                                                                                                  #        L+5     ...                     CONTINUE
049266,000551: 
049267,000552:                                                                                                  #  OUTPUT -
049268,000553:                                                                                                  #                        * SCALE FACTOR  *
049269,000554:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049270,000555:                                                                                                  #        --------        *-------------- *       -----------------------
049271,000556:                                                                                                  #        MPAC            * +29 FOR EARTH *       DP RADIUS OF APOCENTER IN METERS
049272,000557:                                                                                                  #                        * +27 FOR MOON  *
049273,000558:                                                                                                  #        0D-1D           * +29 FOR EARTH *       DP RADIUS OF PERICENTER IN METERS
049274,000559:                                                                                                  #                        * +27 FOR MOON  *
049275,000560:                                                                                                  #        ECC             * +3            *       DP ECCENTRICITY OF CONIC TRAJECTORY.
049276,000561: 
049277,000562:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049278,000563: 
049279,000564:                                                                                                  #  DEBRIS -
049280,000565: 
049281,000566:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049282,000567: 
049283,000568:                                                                                                  #                        * SCALE FACTOR  *
049284,000569:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049285,000570:                                                                                                  #        --------        *-------------- *       -----------------------
049286,000571:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049287,000572:                                                                                                  #                        * +27 FOR MOON  *
049288,000573:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049289,000574:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
049290,000575:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049291,000576:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
049292,000577:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
049293,000578:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
049294,000579:                                                                                                  #        MAGVEC2         * +7 FOR EARTH  *       DP MAGNITUDE OF VVEC
049295,000580:                                                                                                  #                        * +5 FOR MOON   *
049296,000581: 
049297,000582:                                                                                                  #        PARAMETERS OF NO USE -
049298,000583:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
049299,000584:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
049300,000585: 
049301,000586: 12,2000                                           SETLOC   CONICS                                

Page 1174

049303,000588: 12,2000                                           BANK                                           
049304,000589: 
049305,000590: 12,2023                                           COUNT*   $$/CONIC                              
049306,000591: 12,2023  E5,1721                                  EBANK=   UR1                                   
049307,000592: 12,2023           40001        KEPLERN            SETPD    BOV                                   
049308,000593: 12,2024           00001                                    0                                     
049309,000594: 12,2025           24026                                    +1                                    
049310,000595: 12,2026           77773                           VLOAD*                                         
049311,000596: 12,2027           10005                                    MUTABLE,1                             
049312,000597: 12,2030           24017                           STOVL    14D                                   
049313,000598: 12,2031           01503                                    RRECT                                 
049314,000599: 12,2032           66256                           UNIT     SSP                                   
049315,000600: 12,2033           00027                                    ITERCTR                               
049316,000601: 12,2034           00024                                    20D                                   
049317,000602: 12,2035           16647                           STODL    URRECT                                
049318,000603: 12,2036           00045                                    36D                                   
049319,000604: 12,2037           24041                           STOVL    R1                                    
049320,000605: 12,2040           01503                                    RRECT                                 
049321,000606: 12,2041           76441                           DOT      SL1R                                  
049322,000607: 12,2042           01511                                    VRECT                                 
049323,000608: 12,2043           76405                           DMP      SL1R                                  
049324,000609: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
049325,000610: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
049326,000611: 12,2046           01511                                    VRECT                                 
049327,000612: 12,2047           57236                           VSQ      DMPR                                  
049328,000613: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
049329,000614: 12,2051           52405                           DMP      SL3                                   
049330,000615: 12,2052           00041                                    R1                                    
049331,000616: 12,2053           61425                           DSU      ROUND                                 
049332,000617: 12,2054           11035                                    D1/64                                 
049333,000618: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
049334,000619: 
049335,000620: 12,2056           74421                           BDSU     SR1R                                  
049336,000621: 12,2057           11035                                    D1/64                                 
049337,000622: 12,2060           77671                           DDV                                            
049338,000623: 12,2061           00041                                    R1                                    
049339,000624: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
049340,000625: 
049341,000626: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
049342,000627: 12,2064           24073                                    1REV                                  
049343,000628: 12,2065           11053                                    -50SC                                 #  -50SC (+12)
049344,000629: 12,2066           40071                           DDV      BOV                                   
049345,000630: 12,2067           00011                                    ALPHA                                 
049346,000631: 12,2070           24077                                    STOREMAX                              
049347,000632: 12,2071           52166                           SQRT     GOTO                                  
049348,000633: 12,2072           24077                                    STOREMAX                              
049349,000634: 
049350,000635: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1175

049352,000637: 12,2074           11055                                    2PISC                                 #  2PISC (+6)
049353,000638: 12,2075           77600                           BOV                                            
049354,000639: 12,2076           24077                                    STOREMAX                              
049355,000640: 12,2077           00013        STOREMAX           STORE    XMAX                                  
049356,000641: 12,2100           65205                           DMP      PDDL                                  
049357,000642: 12,2101           00023                                    1/ROOTMU                              
049358,000643: 12,2102           00011                                    ALPHA                                 
049359,000644: 12,2103           65301                           NORM     PDDL                                  
049360,000645: 12,2104           00047                                    X1                                    
049361,000646: 12,2105           56257                           SL*      DDV                                   
049362,000647: 12,2106           20173                                    0          -6,1                       
049363,000648: 12,2107           50000                           BOV      BMN                                   
049364,000649: 12,2110           24124                                    MODDONE                               
049365,000650: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
049366,000651: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
049367,000652: 12,2113           02074                                    TAU.                                  
049368,000653: 12,2114           50025                           DSU      BMN                                   
049369,000654: 12,2115           00001                                    0D                                    
049370,000655: 12,2116           24124                                    MODDONE                               
049371,000656: 12,2117           77765                           SIGN                                           
049372,000657: 12,2120           02074                                    TAU.                                  
049373,000658: 12,2121           16074                           STODL    TAU.                                  
049374,000659: 12,2122           77650                           GOTO                                           
049375,000660: 12,2123           24112                                    PERIODCH                              
049376,000661: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
049377,000662: 12,2125           00001                                    0                                     
049378,000663: 12,2126           02130                                    XKEPNEW                               
049379,000664: 12,2127           00025                           STORE    X                                     
049380,000665: 12,2130           53165                           SIGN     BZE                                   
049381,000666: 12,2131           02074                                    TAU.                                  
049382,000667: 12,2132           24302                                    BADX                                  
049383,000668: 12,2133           51440                           BMN      ABS                                   
049384,000669: 12,2134           24302                                    BADX                                  
049385,000670: 12,2135           51025                           DSU      BPL                                   
049386,000671: 12,2136           00013                                    XMAX                                  
049387,000672: 12,2137           24302                                    BADX                                  
049388,000673: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
049389,000674: 12,2141           02074                                    TAU.                                  
049390,000675: 12,2142           24152                                    STOREMIN                              
049391,000676: 12,2143           57545                           DLOAD    DCOMP                                 
049392,000677: 12,2144           00013                                    XMAX                                  
049393,000678: 12,2145           14015                           STODL    XMIN                                  
049394,000679: 12,2146           24007                                    KEPZERO                               
049395,000680: 12,2147           00013                           STORE    XMAX                                  
049396,000681: 12,2150           77650                           GOTO                                           
049397,000682: 12,2151           24155                                    DXCOMP                                
049398,000683: 12,2152           77745        STOREMIN           DLOAD                                          
049399,000684: 12,2153           24007                                    KEPZERO                               
049400,000685: 12,2154           00015                           STORE    XMIN                                  
049401,000686: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1176

049403,000688: 12,2156           02074                                    TAU.                                  
049404,000689: 12,2157           11046                                    BEE22                                 
049405,000690: 12,2160           77646                           ABS                                            
049406,000691: 12,2161           16177                           STODL    EPSILONT                              
049407,000692: 12,2162           01553                                    XPREV                                 
049408,000693: 12,2163           77621        XDIFF              BDSU                                           
049409,000694: 12,2164           00025                                    X                                     
049410,000695: 12,2165           02643                           STORE    DELX                                  
049411,000696: 
049412,000697: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
049413,000698: 12,2167           00025                                    X                                     #  X=XKEP
049414,000699: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049415,000700: 12,2171           00047                                    X1                                    
049416,000701: 12,2172           53605                           DMP      SRR*                                  
049417,000702: 12,2173           00011                                    ALPHA                                 
049418,000703: 12,2174           21573                                    0          -6,1                       
049419,000704: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
049420,000705: 12,2176           24421                                    DELTIME                               
049421,000706: 12,2177           44200                           BOV      BDSU                                  
049422,000707: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
049423,000708: 12,2201           02074                                    TAU.                                  
049424,000709: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
049425,000710: 12,2203           44246                           ABS      BDSU                                  
049426,000711: 12,2204           02177                                    EPSILONT                              
049427,000712: 12,2205           71244                           BPL      DLOAD                                 
049428,000713: 12,2206           24333                                    KEPCONVG                              
049429,000714: 12,2207           00037                                    T                                     
049430,000715: 12,2210           60225                           DSU      NORM                                  
049431,000716: 12,2211           01551                                    TC                                    
049432,000717: 12,2212           00047                                    X1                                    
049433,000718: 12,2213           60325                           PDDL     NORM                                  
049434,000719: 12,2214           02643                                    DELX                                  
049435,000720: 12,2215           00050                                    X2                                    
049436,000721: 12,2216           41260                           XSU,1    DMP                                   
049437,000722: 12,2217           00047                                    X2                                    
049438,000723: 12,2220           02645                                    DELT                                  
049439,000724: 12,2221           56257                           SLR*     DDV                                   
049440,000725: 12,2222           21202                                    1,1                                   
049441,000726: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
049442,000727: 12,2224           71244                           BPL      DLOAD                                 
049443,000728: 12,2225           24246                                    POSDELX                               
049444,000729: 12,2226           00025                                    X                                     
049445,000730: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
049446,000731: 12,2230           45221                           BDSU     DSU                                   #                        PL AT 0
049447,000732: 12,2231           00015                                    XMIN                                  
049448,000733: 12,2232           51000                           BOV      BPL                                   
049449,000734: 12,2233           24240                                    NDXCHNGE                              
049450,000735: 12,2234           24240                                    NDXCHNGE                              
049451,000736: 12,2235           52145                           DLOAD    GOTO                                  

Page 1177

049453,000738: 12,2236           00001                                    0D                                    
049454,000739: 12,2237           24260                                    NEWDELX                               
049455,000740: 
049456,000741: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
049457,000742: 12,2241           00015                                    XMIN                                  
049458,000743: 12,2242           00025                                    X                                     
049459,000744: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049460,000745: 12,2244           11051                                    DP9/10                                
049461,000746: 12,2245           24260                                    NEWDELX                               
049462,000747: 
049463,000748: 12,2246           77745        POSDELX            DLOAD                                          
049464,000749: 12,2247           00025                                    X                                     
049465,000750: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
049466,000751: 12,2251           45221                           BDSU     DSU                                   #                        PL AT 0
049467,000752: 12,2252           00013                                    XMAX                                  
049468,000753: 12,2253           50000                           BOV      BMN                                   
049469,000754: 12,2254           24274                                    PDXCHNGE                              
049470,000755: 12,2255           24274                                    PDXCHNGE                              
049471,000756: 12,2256           77745                           DLOAD                                          
049472,000757: 12,2257           00001                                    0D                                    
049473,000758: 12,2260           02643        NEWDELX            STORE    DELX                                  
049474,000759: 12,2261           43254                           BZE      DAD                                   
049475,000760: 12,2262           24333                                    KEPCONVG                              
049476,000761: 12,2263           00025                                    X                                     
049477,000762: 12,2264           14025                           STODL    X                                     
049478,000763: 12,2265           00037                                    T                                     
049479,000764: 12,2266           01551                           STORE    TC                                    
049480,000765: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
049481,000766: 12,2270           24644                                    CHECKCTR                              
049482,000767: 12,2271           24333                                    KEPCONVG                              
049483,000768: 12,2272           77650                           GOTO                                           
049484,000769: 12,2273           24166                                    KEPLOOP                               #  ITERATE
049485,000770: 
049486,000771: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
049487,000772: 12,2275           00013                                    XMAX                                  
049488,000773: 12,2276           00025                                    X                                     
049489,000774: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049490,000775: 12,2300           11051                                    DP9/10                                
049491,000776: 12,2301           24260                                    NEWDELX                               
049492,000777: 
049493,000778: 12,2302           70545        BADX               DLOAD    SR1                                   
049494,000779: 12,2303           00013                                    XMAX                                  
049495,000780: 12,2304           77765                           SIGN                                           
049496,000781: 12,2305           02074                                    TAU.                                  
049497,000782: 12,2306           00025                           STORE    X                                     
049498,000783: 12,2307           77650                           GOTO                                           

Page 1178

049500,000785: 12,2310           24140                                    STORBNDS                              
049501,000786: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
049502,000787: 12,2312           00025                                    X                                     
049503,000788: 12,2313           24330                                    NEGTOVFL                              
049504,000789: 12,2314           00013                           STORE    XMAX                                  
049505,000790: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
049506,000791: 12,2316           02643                                    DELX                                  
049507,000792: 12,2317           02643                           STORE    DELX                                  
049508,000793: 12,2320           44254                           BZE      BDSU                                  
049509,000794: 12,2321           02112                                    KEPRTN                                
049510,000795: 12,2322           00025                                    X                                     
049511,000796: 12,2323           14025                           STODL    X                                     
049512,000797: 12,2324           01551                                    TC                                    
049513,000798: 12,2325           00037                           STORE    T                                     
049514,000799: 12,2326           77650                           GOTO                                           
049515,000800: 12,2327           24267                                    BRNCHCTR                              
049516,000801: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
049517,000802: 12,2331           77650                           GOTO                                           
049518,000803: 12,2332           24315                                    CMNTOVFL                              
049519,000804: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
049520,000805: 12,2334           00041                                    R1                                    
049521,000806: 12,2335           74225                           DSU      VXSC                                  
049522,000807: 12,2336           00035                                    XSQC(XI)                              
049523,000808: 12,2337           02647                                    URRECT                                
049524,000809: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
049525,000810: 12,2341           00025                                    X                                     
049526,000811: 12,2342           60316                           DSQ      NORM                                  
049527,000812: 12,2343           00047                                    X1                                    
049528,000813: 12,2344           57275                           DMPR     DMPR                                  
049529,000814: 12,2345           00023                                    1/ROOTMU                              
049530,000815: 12,2346           00025                                    X                                     
049531,000816: 12,2347           53605                           DMP      SRR*                                  
049532,000817: 12,2350           00033                                    S(XI)                                 
049533,000818: 12,2351           21572                                    0          -7,1                       
049534,000819: 12,2352           77621                           BDSU                                           
049535,000820: 12,2353           00037                                    T                                     
049536,000821: 12,2354           74352                           SL1      VXSC                                  
049537,000822: 12,2355           01511                                    VRECT                                 
049538,000823: 12,2356           53372                           VSL1     VAD                                   #                                PL AT 0
049539,000824: 12,2357           77712                           VSL4                                           
049540,000825: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
049541,000826: 
049542,000827: 12,2361           60246                           ABVAL    NORM                                  
049543,000828: 12,2362           00050                                    X2                                    
049544,000829: 12,2363           14043                           STODL    RCNORM                                
049545,000830: 12,2364           00031                                    XI                                    
049546,000831: 12,2365           45275                           DMPR     DSU                                   
049547,000832: 12,2366           00033                                    S(XI)                                 
049548,000833: 12,2367           11033                                    D1/128                                

Page 1179

049550,000835: 12,2370           76405                           DMP      SL1R                                  
049551,000836: 12,2371           00021                                    ROOTMU                                
049552,000837: 12,2372           53605                           DMP      SLR*                                  
049553,000838: 12,2373           00025                                    X                                     
049554,000839: 12,2374           56601                                    0          -3,2                       
049555,000840: 12,2375           74271                           DDV      VXSC                                  
049556,000841: 12,2376           00043                                    RCNORM                                
049557,000842: 12,2377           02647                                    URRECT                                
049558,000843: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
049559,000844: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
049560,000845: 12,2402           56257                           SLR*     DDV                                   
049561,000846: 12,2403           56602                                    0          -4,2                       
049562,000847: 12,2404           00043                                    RCNORM                                
049563,000848: 12,2405           74221                           BDSU     VXSC                                  
049564,000849: 12,2406           11047                                    D1/256                                
049565,000850: 12,2407           01511                                    VRECT                                 
049566,000851: 12,2410           42455                           VAD      VSL8                                  
049567,000852: 12,2411           77626                           STADR                                          #                                PL AT 0
049568,000853: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
049569,000854: 12,2413           00037                                    T                                     
049570,000855: 12,2414           15551                           STODL    TC                                    
049571,000856: 12,2415           00025                                    X                                     
049572,000857: 12,2416           01553                           STORE    XPREV                                 
049573,000858: 12,2417           77650                           GOTO                                           
049574,000859: 12,2420           02112                                    KEPRTN                                
049575,000860: 

Page 1180

049577,000862: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
049578,000863: 12,2422           07222                           TC       POLY                                  
049579,000864: 12,2423           00010                           DEC      8          B-14                       
049580,000865: 12,2424           02525 12526                     2DEC     .083333334                            
049581,000866: 12,2426           67356 75666                     2DEC     -.266666684                            
049582,000867: 12,2430           15001 23771                     2DEC     .406349155                            
049583,000868: 12,2432           64342 43674                     2DEC     -.361198675                            
049584,000869: 12,2434           06563 04645                     2DEC     .210153242                            
049585,000870: 12,2436           75173 52672                     2DEC     -.086221951                            
049586,000871: 12,2440           00656 14331                     2DEC     .026268812                            
049587,000872: 12,2442           77633 40512                     2DEC     -.006163316                            
049588,000873: 12,2444           00023 11210                     2DEC     .001177342                            
049589,000874: 12,2446           77774 67506                     2DEC     -.000199055                            
049590,000875: 
049591,000876: 12,2450           06037                           TC       INTPRET                               
049592,000877: 12,2451           14033                           STODL    S(XI)                                 
049593,000878: 12,2452           00031                                    XI                                    
049594,000879: 12,2453           77776                           EXIT                                           
049595,000880: 12,2454           07222                           TC       POLY                                  
049596,000881: 12,2455           00010                           DEC      8          B-14                       
049597,000882: 12,2456           01000 00000                     2DEC     .031250001                            
049598,000883: 12,2460           72525 52506                     2DEC     -.166666719                            
049599,000884: 12,2462           13301 15337                     2DEC     .355555413                            
049600,000885: 12,2464           62776 54733                     2DEC     -.406347410                            
049601,000886: 12,2466           11176 13267                     2DEC     .288962094                            
049602,000887: 12,2470           73410 51674                     2DEC     -.140117894                            
049603,000888: 12,2472           01446 33641                     2DEC     .049247387                            
049604,000889: 12,2474           77451 65233                     2DEC     -.013081923                            
049605,000890: 12,2476           00055 37266                     2DEC     .002806389                            
049606,000891: 12,2500           77767 52336                     2DEC     -.000529414                            
049607,000892: 12,2502           06037                           TC       INTPRET                               

Page 1181

049609,000894: 12,2503           53605                           DMP      SRR*                                  #                                PL AT 0
049610,000895: 12,2504           00001                                    0D                                    
049611,000896: 12,2505           21574                                    0          -5,1                       
049612,000897: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
049613,000898: 12,2507           72405                           DMP      SL1                                   
049614,000899: 12,2510           00043                                    KEPC1                                 
049615,000900: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
049616,000901: 12,2512           21633                                    TPMODE                                #                                PL AT 0,3
049617,000902: 12,2513           53605                           DMP      SRR*                                  
049618,000903: 12,2514           00033                                    S(XI)                                 
049619,000904: 12,2515           21574                                    0          -5,1                       
049620,000905: 12,2516           72405                           DMP      SL1                                   
049621,000906: 12,2517           00045                                    KEPC2                                 
049622,000907: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
049623,000908: 12,2521           21633                                    TPMODE                                
049624,000909: 12,2522           00041                                    R1                                    
049625,000910: 12,2523           76261                           SR       TAD                                   #                                PL AT 3
049626,000911: 12,2524           20607                                    6                                     
049627,000912: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
049628,000913: 12,2526           00047                                    X1                                    
049629,000914: 12,2527           00025                                    X                                     
049630,000915: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
049631,000916: 12,2531           20576                                    0          -3,1                       
049632,000917: 12,2532           57232                           SL4R     DMPR                                  
049633,000918: 12,2533           00023                                    1/ROOTMU                              
049634,000919: 12,2534           00037                           STORE    T                                     
049635,000920: 12,2535           77616                           RVQ                                            
049636,000921: 

Page 1182

049638,000923: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
049639,000924: 12,2537           00614                                    SLOPESW                               
049640,000925: 12,2540           24606                                    FIRSTIME                              
049641,000926: 12,2541           00037                                    DEP                                   
049642,000927: 12,2542           60225                           DSU      NORM                                  
049643,000928: 12,2543           02762                                    DEPREV                                
049644,000929: 12,2544           00047                                    X1                                    
049645,000930: 12,2545           60325                           PDDL     NORM                                  
049646,000931: 12,2546           00015                                    DELINDEP                              
049647,000932: 12,2547           00050                                    X2                                    
049648,000933: 12,2550           41260                           XSU,1    DMP                                   
049649,000934: 12,2551           00047                                    X2                                    
049650,000935: 12,2552           02760                                    DELDEP                                
049651,000936: 12,2553           56257                           SLR*     DDV                                   #                                PL UP 2
049652,000937: 12,2554           21202                                    1,1                                   
049653,000938: 12,2555           43142                           SR1      BOFF                                  
049654,000939: 12,2556           04351                                    ORDERSW                               
049655,000940: 12,2557           24562                                    SGNCHECK                              
049656,000941: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
049657,000942: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
049658,000943: 
049659,000944: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
049660,000945: 12,2563           24620                                    POSDEL                                
049661,000946: 12,2564           43145                           DLOAD    BON                                   
049662,000947: 12,2565           02766                                    INDEP                                 
049663,000948: 12,2566           04311                                    ORDERSW                               
049664,000949: 12,2567           24571                                    MINCHECK                              
049665,000950: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
049666,000951: 
049667,000952: 12,2571           45221        MINCHECK           BDSU     DSU                                   
049668,000953: 12,2572           00011                                    MIN                                   
049669,000954: 12,2573           51000                           BOV      BPL                                   
049670,000955: 12,2574           24600                                    MODNGDEL                              
049671,000956: 12,2575           24600                                    MODNGDEL                              
049672,000957: 12,2576           77650                           GOTO                                           
049673,000958: 12,2577           24632                                    DELOK                                 
049674,000959: 
049675,000960: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
049676,000961: 12,2601           00011                                    MIN                                   
049677,000962: 12,2602           02766                                    INDEP                                 
049678,000963: 12,2603           52005                           DMP      GOTO                                  
049679,000964: 12,2604           11051                                    DP9/10                                
049680,000965: 12,2605           24634                                    NEWDEL                                
049681,000966: 
049682,000967: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
049683,000968: 12,2607           00011                                    MIN                                   
049684,000969: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
049685,000970: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1183

049687,000972: 12,2612           00017                                    MAX                                   
049688,000973: 12,2613           00051                                    TWEEKIT                               
049689,000974: 12,2614           77625                           DSU                                            
049690,000975: 12,2615           52165                           SIGN     GOTO                                  
049691,000976: 12,2616           02760                                    DELDEP                                
049692,000977: 12,2617           24562                                    SGNCHECK                              
049693,000978: 
049694,000979: 12,2620           43145        POSDEL             DLOAD    BON                                   
049695,000980: 12,2621           02766                                    INDEP                                 
049696,000981: 12,2622           04311                                    ORDERSW                               
049697,000982: 12,2623           24625                                    MAXCHECK                              
049698,000983: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
049699,000984: 
049700,000985: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
049701,000986: 12,2626           00017                                    MAX                                   
049702,000987: 12,2627           50000                           BOV      BMN                                   
049703,000988: 12,2630           24636                                    MODPSDEL                              
049704,000989: 12,2631           24636                                    MODPSDEL                              
049705,000990: 12,2632           77745        DELOK              DLOAD                                          
049706,000991: 12,2633           00001                                    0D                                    
049707,000992: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
049708,000993: 12,2635           77616                           RVQ                                            
049709,000994: 
049710,000995: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
049711,000996: 12,2637           00017                                    MAX                                   
049712,000997: 12,2640           02766                                    INDEP                                 
049713,000998: 12,2641           52005                           DMP      GOTO                                  
049714,000999: 12,2642           11051                                    DP9/10                                
049715,001000: 12,2643           24634                                    NEWDEL                                
049716,001001: 
049717,001002: 12,2644           44753        CHECKCTR           CS       ONE                                   
049718,001003: 12,2645           50120                           INDEX    FIXLOC                                
049719,001004: 12,2646           60026                           AD       ITERCTR                               
049720,001005: 12,2647           50120                           INDEX    FIXLOC                                
049721,001006: 12,2650           54026                           TS       ITERCTR                               
049722,001007: 12,2651           54154                           TS       MPAC                                  
049723,001008: 12,2652           06061                           TC       DANZIG                                
049724,001009: 

Page 1184

049726,001011: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
049727,001012: 12,2654           00041                                    R1                                    
049728,001013: 12,2655           74225                           DSU      VXSC                                  
049729,001014: 12,2656           00035                                    XSQC(XI)                              
049730,001015: 12,2657           02722                                    UR1                                   
049731,001016: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
049732,001017: 12,2661           00025                                    X                                     
049733,001018: 12,2662           60316                           DSQ      NORM                                  
049734,001019: 12,2663           00047                                    X1                                    
049735,001020: 12,2664           57275                           DMPR     DMPR                                  
049736,001021: 12,2665           00023                                    1/ROOTMU                              
049737,001022: 12,2666           00025                                    X                                     
049738,001023: 12,2667           53605                           DMP      SRR*                                  
049739,001024: 12,2670           00033                                    S(XI)                                 
049740,001025: 12,2671           21572                                    0          -7,1                       
049741,001026: 12,2672           77621                           BDSU                                           
049742,001027: 12,2673           00037                                    T                                     
049743,001028: 12,2674           74352                           SL1      VXSC                                  
049744,001029: 12,2675           02744                                    VVEC                                  
049745,001030: 12,2676           53372                           VSL1     VAD                                   #                                PL AT 0
049746,001031: 12,2677           41512                           VSL4     PUSH                                  
049747,001032: 12,2700           77646                           ABVAL                                          
049748,001033: 12,2701           77701        LAMENTER           NORM                                           
049749,001034: 12,2702           00047                                    X1                                    
049750,001035: 12,2703           16720                           STODL    R2                                    
049751,001036: 12,2704           00031                                    XI                                    
049752,001037: 12,2705           45205                           DMP      DSU                                   
049753,001038: 12,2706           00033                                    S(XI)                                 
049754,001039: 12,2707           11033                                    D1/128                                
049755,001040: 12,2710           76405                           DMP      SL1R                                  
049756,001041: 12,2711           00021                                    ROOTMU                                
049757,001042: 12,2712           53605                           DMP      SLR*                                  
049758,001043: 12,2713           00025                                    X                                     
049759,001044: 12,2714           21176                                    0          -3,1                       
049760,001045: 12,2715           74271                           DDV      VXSC                                  
049761,001046: 12,2716           02720                                    R2                                    
049762,001047: 12,2717           02722                                    UR1                                   
049763,001048: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
049764,001049: 12,2721           00035                                    XSQC(XI)                              
049765,001050: 12,2722           56257                           SLR*     DDV                                   
049766,001051: 12,2723           21175                                    0          -4,1                       
049767,001052: 12,2724           02720                                    R2                                    
049768,001053: 12,2725           77621                           BDSU                                           
049769,001054: 12,2726           11047                                    D1/256                                
049770,001055: 12,2727           53361                           VXSC     VAD                                   #                                PL AT 6
049771,001056: 12,2730           02744                                    VVEC                                  
049772,001057: 12,2731           43412                           VSL8     RVQ                                   
049773,001058: 

Page 1185

049775,001060: 04,2000                                           SETLOC   CONICS1                               
049776,001061: 04,2000                                           BANK                                           
049777,001062: 
049778,001063: 04,3027                                           COUNT*   $$/CONIC                              
049779,001064:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
049780,001065: 04,3027           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
049781,001066: 04,3030           04000 00000  D1/8               2DEC     1.0        B-3                        
049782,001067: 04,3032           00200 00000  D1/128             2DEC     1.0        B-7                        
049783,001068: 04,3034           00400 00000  D1/64              2DEC     1.0        B-6                        
049784,001069: 04,3036           10000 00000  D1/4               2DEC     1.0        B-2                        
049785,001070: 04,3040           02000 00000  D1/16              2DEC     1.0        B-4                        
049786,001071: 04,3042           01000 00000  D1/32              2DEC     1.0        B-5                        
049787,001072: 04,3044           00020 00000  D1/1024            2DEC     1.0        B-10                       
049788,001073: 04,3046           00100 00000  D1/256             2DEC     1.0        B-8                        
049789,001074: 04,3050           34631 23146  DP9/10             2DEC     .9                                    
049790,001075: 04,3052  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
049791,001076: 04,3052           77467 77777  -50SC              2DEC     -50.0      B-12                       
049792,001077: 04,3054           03110 17665  2PISC              2DEC     6.28318530 B-6                        
049793,001078: 04,3056  04,3041               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
049794,001079: 04,3056  04,3045               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
049795,001080: 04,3056           00000 00001  ONEBIT             2DEC     1.0        B-28                       
049796,001081: 04,3060           37767 37737  COGUPLIM           2DEC     .999511597                            
049797,001082: 04,3062           40010 40040  COGLOLIM           2DEC     -.999511597                            
049798,001083: 

Page 1186

049800,001085: 12,2000                                           SETLOC   CONICS                                
049801,001086: 12,2000                                           BANK                                           
049802,001087: 
049803,001088: 12,2732                                           COUNT*   $$/CONIC                              
049804,001089: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
049805,001090: 12,2733           02710                                    RTNTT                                 
049806,001091: 12,2734           00001                                    0                                     
049807,001092: 12,2735           77600                           BOV                                            
049808,001093: 12,2736           24737                                    +1                                    
049809,001094: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
049810,001095: 12,2740           02655                                    RVEC                                  
049811,001096: 12,2741           02744                                    VVEC                                  
049812,001097: 12,2742           77624                           CALL                                           
049813,001098: 12,2743           11064                                    PARAM                                 
049814,001099: 12,2744           45000                           BOV      CALL                                  #                                PL AT 0
049815,001100: 12,2745           24764                                    COGAOVFL                              
049816,001101: 12,2746           24767                                    GETX                                  
049817,001102: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
049818,001103: 12,2750           00031                                    XI                                    
049819,001104: 12,2751           04310                                    INFINFLG                              
049820,001105: 12,2752           25742                                    ABTCONIC                              
049821,001106: 12,2753           45014                           CLEAR    CALL                                  
049822,001107: 12,2754           04273                                    COGAFLAG                              
049823,001108: 12,2755           24421                                    DELTIME                               
049824,001109: 12,2756           45014                           BON      CALL                                  
049825,001110: 12,2757           03706                                    RVSW                                  
049826,001111: 12,2760           02710                                    RTNTT                                 
049827,001112: 12,2761           24653                                    NEWSTATE                              
049828,001113: 12,2762           77650                           GOTO                                           
049829,001114: 12,2763           02710                                    RTNTT                                 
049830,001115: 
049831,001116: 12,2764           77614        COGAOVFL           SETGO                                          
049832,001117: 12,2765           04033                                    COGAFLAG                              
049833,001118: 12,2766           25742                                    ABTCONIC                              
049834,001119: 
049835,001120: 04,3064                                           BANK     4                                     
049836,001121: 04,2000                                           SETLOC   CONICS1                               
049837,001122: 04,2000                                           BANK                                           
049838,001123: 04,3064                                           COUNT*   $$/CONIC                              
049839,001124: 04,3064           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
049840,001125: 04,3065           02753                                    RTNPRM                                
049841,001126: 04,3066           03665                                    NORMSW                                
049842,001127: 04,3067           77614                           CLEAR                                          
049843,001128: 04,3070           04273                                    COGAFLAG                              
049844,001129: 04,3071           45131                           SSP      CALL                                  
049845,001130: 04,3072           02673                                    GEOMSGN                               
049846,001131: 04,3073           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
049847,001132: 04,3074           11130                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
049848,001133: 04,3075           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0
049849,001134: 04,3076           56261                           SR       DDV                                   

Page 1187

049851,001136: 04,3077           20606                                    5                                     
049852,001137: 04,3100           00045                                    36D                                   
049853,001138: 04,3101           32766                           STOVL*   COGA                                  
049854,001139: 04,3102           10005                                    MUTABLE,1                             
049855,001140: 04,3103           14017                           STODL    1/MU                                  
049856,001141: 04,3104           02720                                    MAGVEC2                               
049857,001142: 04,3105           60316                           DSQ      NORM                                  
049858,001143: 04,3106           00047                                    X1                                    
049859,001144: 04,3107           41275                           DMPR     DMP                                   
049860,001145: 04,3110           00017                                    1/MU                                  
049861,001146: 04,3111           00041                                    R1                                    
049862,001147: 04,3112           77657                           SRR*                                           
049863,001148: 04,3113           21576                                    0          -3,1                       
049864,001149: 04,3114           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
049865,001150: 04,3115           11043                                    D1/32                                 
049866,001151: 04,3116           16742                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
049867,001152: 
049868,001153: 04,3117           60205                           DMP      NORM                                  
049869,001154: 04,3120           00045                                    36D                                   
049870,001155: 04,3121           00047                                    X1                                    
049871,001156: 04,3122           53605                           DMP      SR*                                   
049872,001157: 04,3123           00045                                    36D                                   
049873,001158: 04,3124           20575                                    0          -4,1                       
049874,001159: 04,3125           02740                           STORE    P                                     #  P (+4)
049875,001160: 04,3126           77650                           GOTO                                           
049876,001161: 04,3127           02753                                    RTNPRM                                
049877,001162: 

Page 1188

049879,001164: 04,3130           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
049880,001165: 04,3131           16712                           STODL    U2                                    #  U2 (+1)
049881,001166: 04,3132           00045                                    36D                                   
049882,001167: 04,3133           26720                           STOVL    MAGVEC2                               #                                PL AT 0
049883,001168: 04,3134           77656                           UNIT                                           
049884,001169: 04,3135           02722                           STORE    UR1                                   #  UR1 (+1)
049885,001170: 04,3136           72441                           DOT      SL1                                   
049886,001171: 04,3137           02712                                    U2                                    
049887,001172: 04,3140           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
049888,001173: 04,3141           00045                                    36D                                   
049889,001174: 04,3142           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
049890,001175: 04,3143           02722                                    UR1                                   
049891,001176: 04,3144           76435                           VXV      VSL1                                  
049892,001177: 04,3145           02712                                    U2                                    
049893,001178: 04,3146           75214                           BON      SIGN                                  
049894,001179: 04,3147           03705                                    NORMSW                                
049895,001180: 04,3150           11162                                    HAVENORM                              
049896,001181: 04,3151           02673                                    GEOMSGN                               
049897,001182: 04,3152           40056                           UNIT     BOV                                   
049898,001183: 04,3153           11160                                    COLINEAR                              
049899,001184: 04,3154           16674        UNITNORM           STODL    UN                                    #  UN (+1)
049900,001185: 04,3155           00045                                    36D                                   
049901,001186: 04,3156           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049902,001187: 04,3157           02673                                    GEOMSGN                               
049903,001188: 
049904,001189: 04,3160           52162        COLINEAR           VSR1     GOTO                                  
049905,001190: 04,3161           11154                                    UNITNORM                              
049906,001191: 
049907,001192: 04,3162           75246        HAVENORM           ABVAL    SIGN                                  
049908,001193: 04,3163           02673                                    GEOMSGN                               
049909,001194: 04,3164           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049910,001195: 

Page 1189

049912,001197: 12,2767                                           BANK     12                                    
049913,001198: 12,2000                                           SETLOC   CONICS                                
049914,001199: 12,2000                                           BANK                                           
049915,001200: 
049916,001201: 12,2767                                           COUNT*   $$/CONIC                              
049917,001202: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
049918,001203: 12,2770           00003                                    3                                     
049919,001204: 12,2771           00052                                    S2                                    
049920,001205: 12,2772           00001                                    1                                     
049921,001206: 12,2773           77614                           CLEAR                                          
049922,001207: 12,2774           04276                                    360SW                                 
049923,001208: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
049924,001209: 12,2776           02732                                    CSTH                                  
049925,001210: 12,2777           44342                           SR1      BDSU                                  
049926,001211: 12,3000           11037                                    D1/4                                  
049927,001212: 12,3001           54325                           PDDL     SRR                                   #                                PL AT 4D
049928,001213: 12,3002           02730                                    SNTH                                  
049929,001214: 12,3003           21607                                    6                                     
049930,001215: 12,3004           77671                           DDV                                            #                                PL AT 2
049931,001216: 12,3005           77600                           BOV                                            
049932,001217: 12,3006           25122                                    360CHECK                              
049933,001218: 12,3007           41225                           DSU      DMP                                   
049934,001219: 12,3010           02766                                    COGA                                  #                                PL AT 0
049935,001220: 12,3011           40132                           SL2R     BOV                                   
049936,001221: 12,3012           25122                                    360CHECK                              
049937,001222: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
049938,001223: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
049939,001224: 12,3015           00155                                    MPAC                                  
049940,001225: 12,3016           02742                                    R1A                                   
049941,001226: 12,3017           76202                           SR4      TAD                                   #                                PL AT 2
049942,001227: 12,3020           75440                           BMN      SQRT                                  
049943,001228: 12,3021           25205                                    INFINITY                              
049944,001229: 12,3022           43306                           ROUND    DAD                                   #                                PL AT 0D
049945,001230: 12,3023           61000                           BOV      TIX,2                                 
049946,001231: 12,3024           25120                                    RESETX2                               
049947,001232: 12,3025           25013                                    WLOOP                                 
049948,001233: 
049949,001234: 12,3026           40065                           BDDV     BOV                                   
049950,001235: 12,3027           11033                                    D1/128                                
049951,001236: 12,3030           25205                                    INFINITY                              
049952,001237: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
049953,001238: 12,3032           25205                                    INFINITY                              
049954,001239: 12,3033           77716                           DSQ                                            
049955,001240: 12,3034           41301                           NORM     DMP                                   
049956,001241: 12,3035           00047                                    X1                                    
049957,001242: 12,3036           02742                                    R1A                                   
049958,001243: 12,3037           77457                           SRR*     EXIT                                  
049959,001244: 12,3040           21567                                    0          -10D,1                     
049960,001245: 12,3041           07222                           TC       POLY                                  

Page 1190

049962,001247: 12,3042           00005                           DEC      5          B-14                       
049963,001248: 12,3043           20000 00000                     2DEC     .5                                    
049964,001249: 12,3045           72525 52471                     2DEC     -.166666770                            
049965,001250: 12,3047           03146 15003                     2DEC     .100000392                            
049966,001251: 12,3051           75556 45210                     2DEC     -.071401086                            
049967,001252: 12,3053           01615 13553                     2DEC     .055503292                            
049968,001253: 12,3055           76371 63777                     2DEC     -.047264098                            
049969,001254: 12,3057           01232 27367                     2DEC     .040694204                            
049970,001255: 
049971,001256: 12,3061           06037                           TC       INTPRET                               
049972,001257: 12,3062           76405                           DMP      SL1R                                  #                                PL AT 0D
049973,001258: 12,3063           43006                           PUSH     BON                                   
049974,001259: 12,3064           04316                                    360SW                                 
049975,001260: 12,3065           25172                                    TRUE360X                              
049976,001261: 12,3066           60316        XCOMMON            DSQ      NORM                                  
049977,001262: 12,3067           00047                                    X1                                    
049978,001263: 12,3070           53605                           DMP      SRR*                                  
049979,001264: 12,3071           02742                                    R1A                                   
049980,001265: 12,3072           21565                                    0          -12D,1                     
049981,001266: 12,3073           14031                           STODL    XI                                    #  XI (+6)
049982,001267: 12,3074           00041                                    R1                                    
049983,001268: 12,3075           75542                           SR1      SQRT                                  
049984,001269: 12,3076           41306                           ROUND    DMP                                   
049985,001270: 12,3077           77632                           SL4R                                           #                                PL AT 0
049986,001271: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
049987,001272: 
049988,001273: 12,3101           60316                           DSQ      NORM                                  
049989,001274: 12,3102           00047                                    X1                                    
049990,001275: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049991,001276: 12,3104           02740                                    P                                     
049992,001277: 12,3105           00041                                    R1                                    
049993,001278: 12,3106           75452                           SL3      SQRT                                  
049994,001279: 12,3107           56405                           DMP      SL3R                                  
049995,001280: 12,3110           02766                                    COGA                                  
049996,001281: 12,3111           14043                           STODL    KEPC1                                 
049997,001282: 12,3112           02742                                    R1A                                   
049998,001283: 12,3113           43021                           BDSU     CLEAR                                 
049999,001284: 12,3114           11035                                    D1/64                                 
050000,001285: 12,3115           04270                                    INFINFLG                              
050001,001286: 12,3116           00045                           STORE    KEPC2                                 
050002,001287: 12,3117           77616                           RVQ                                            
050003,001288: 

Page 1191

050005,001290: 12,3120           77774        RESETX2            AXT,2                                          
050006,001291: 12,3121           00003                                    3                                     
050007,001292: 
050008,001293: 12,3122           51001        360CHECK           SETPD    BPL                                   
050009,001294: 12,3123           00001                                    0D                                    
050010,001295: 12,3124           25127                                    INVRSEQN                              
050011,001296: 12,3125           77614                           SET                                            
050012,001297: 12,3126           04076                                    360SW                                 
050013,001298: 
050014,001299: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
050015,001300: 12,3130           02740                                    P                                     
050016,001301: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
050017,001302: 12,3132           02730                                    SNTH                                  
050018,001303: 12,3133           02766                                    COGA                                  
050019,001304: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
050020,001305: 12,3135           02732                                    CSTH                                  
050021,001306: 12,3136           43202                           SR4      DAD                                   
050022,001307: 12,3137           11043                                    D1/32                                 
050023,001308: 12,3140           41225                           DSU      DMP                                   #                                PL AT 2,0
050024,001309: 12,3141           55301                           NORM     BDDV                                  
050025,001310: 12,3142           00047                                    X1                                    
050026,001311: 12,3143           02730                                    SNTH                                  
050027,001312: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
050028,001313: 12,3145           21174                                    0          -5,1                       
050029,001314: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
050030,001315: 12,3147           14043                           STODL    34D                                   
050031,001316: 12,3150           11041                                    D1/16                                 
050032,001317: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
050033,001318: 12,3152           65234                           RTB      PDDL                                  #                                PL AT 7
050034,001319: 12,3153           21633                                    TPMODE                                
050035,001320: 12,3154           02742                                    R1A                                   
050036,001321: 12,3155           40405                           DMP      SR4                                   
050037,001322: 12,3156           00043                                    34D                                   
050038,001323: 12,3157           77771                           TAD                                            #                                PL AT 4
050039,001324: 12,3160           75440                           BMN      SQRT                                  
050040,001325: 12,3161           25205                                    INFINITY                              
050041,001326: 12,3162           77615                           DAD                                            #                                PL AT 2
050042,001327: 12,3163           60304                           TIX,2    NORM                                  
050043,001328: 12,3164           25151                                    1/WLOOP                               
050044,001329: 12,3165           00047                                    X1                                    
050045,001330: 12,3166           77665                           BDDV                                           
050046,001331: 12,3167           52057                           SLR*     GOTO                                  #                                PL AT 0
050047,001332: 12,3170           21172                                    0          -7,1                       
050048,001333: 12,3171           25031                                    POLYCOEF                              
050049,001334: 
050050,001335: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
050051,001336: 12,3173           02742                                    R1A                                   

Page 1192

050053,001338: 12,3174           25205                                    INFINITY                              
050054,001339: 12,3175           60366                           SQRT     NORM                                  
050055,001340: 12,3176           00047                                    X1                                    
050056,001341: 12,3177           53665                           BDDV     SL*                                   
050057,001342: 12,3200           11055                                    2PISC                                 
050058,001343: 12,3201           20176                                    0          -3,1                       
050059,001344: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
050060,001345: 12,3203           77650                           GOTO                                           
050061,001346: 12,3204           25066                                    XCOMMON                               
050062,001347: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
050063,001348: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
050064,001349: 12,3207           25210                                    OVFLCLR                               
050065,001350: 12,3210           43414        OVFLCLR            SET      RVQ                                   
050066,001351: 12,3211           04070                                    INFINFLG                              
050067,001352: 

Page 1193

050069,001354: 12,3212           40220        LAMBERT            STQ      SETPD                                 
050070,001355: 12,3213           02710                                    RTNLAMB                               
050071,001356: 12,3214           00001                                    0D                                    
050072,001357: 12,3215           77600                           BOV                                            
050073,001358: 12,3216           25217                                    +1                                    
050074,001359: 12,3217           76614                           CLEAR    VLOAD*                                
050075,001360: 12,3220           02674                                    SOLNSW                                
050076,001361: 12,3221           10005                                    MUTABLE,1                             
050077,001362: 12,3222           14017                           STODL    1/MU                                  
050078,001363: 12,3223           02671                                    TDESIRED                              
050079,001364: 12,3224           77675                           DMPR                                           
050080,001365: 12,3225           11042                                    BEE19                                 
050081,001366: 12,3226           02764                           STORE    EPSILONL                              
050082,001367: 12,3227           77214                           SET      VLOAD                                 
050083,001368: 12,3230           00474                                    SLOPESW                               
050084,001369: 12,3231           02655                                    R1VEC                                 
050085,001370: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
050086,001371: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
050087,001372: 12,3234           11130                                    GEOM                                  
050088,001373: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
050089,001374: 12,3236           02720                                    MAGVEC2                               
050090,001375: 12,3237           65301                           NORM     PDDL                                  #                                PL AT 4
050091,001376: 12,3240           00047                                    X1                                    
050092,001377: 12,3241           00041                                    R1                                    
050093,001378: 12,3242           56342                           SR1      DDV                                   #                                PL AT 2
050094,001379: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
050095,001380: 12,3244           20173                                    0          -6,1                       
050096,001381: 12,3245           77626                           STADR                                          
050097,001382: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
050098,001383: 12,3247           44342                           SR1      BDSU                                  
050099,001384: 12,3250           11037                                    D1/4                                  
050100,001385: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
050101,001386: 
050102,001387: 12,3252           53106                           ROUND    BZE                                   
050103,001388: 12,3253           25463                                    360LAMB                               
050104,001389: 12,3254           65301                           NORM     PDDL                                  #                                PL AT 4
050105,001390: 12,3255           00047                                    X1                                    
050106,001391: 12,3256           00001                                    0D                                    
050107,001392: 12,3257           56342                           SR1      DDV                                   #                                PL AT 2
050108,001393: 12,3260           75457                           SL*      SQRT                                  
050109,001394: 12,3261           20176                                    0          -3,1                       
050110,001395: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
050111,001396: 12,3263           02730                                    SNTH                                  
050112,001397: 12,3264           20607                                    6                                     
050113,001398: 12,3265           43271                           DDV      DAD                                   #                                PL AT 2
050114,001399: 12,3266           02734                                    1-CSTH                                
050115,001400: 12,3267           77626                           STADR                                          
050116,001401: 12,3270           77760                           STORE    COGAMAX                               
050117,001402: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
050118,001403: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1194

050120,001405: 12,3273           25302                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
050121,001406: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
050122,001407: 12,3275           11061                                    COGUPLIM                              
050123,001408: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
050124,001409: 12,3277           77745        UPLIM              DLOAD                                          
050125,001410: 12,3300           11061                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
050126,001411: 12,3301           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
050127,001412: 12,3302           77745        MAXCOGA            DLOAD                                          
050128,001413: 12,3303           02732                                    CSTH                                  
050129,001414: 12,3304           45261                           SR       DSU                                   #                                PL AT 0
050130,001415: 12,3305           20607                                    6                                     
050131,001416: 12,3306           77626                           STADR                                          
050132,001417: 12,3307           61041                           STODL    CSTH-RHO                              
050133,001418: 12,3310           02673                                    GEOMSGN                               
050134,001419: 12,3311           71240                           BMN      DLOAD                                 
050135,001420: 12,3312           25503                                    LOLIM                                 
050136,001421: 12,3313           02736                                    CSTH-RHO                              
050137,001422: 12,3314           56352                           SL1      DDV                                   
050138,001423: 12,3315           02730                                    SNTH                                  
050139,001424: 12,3316           77600                           BOV                                            
050140,001425: 12,3317           25503                                    LOLIM                                 
050141,001426: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
050142,001427: 12,3321           66214                           BON      SSP                                   
050143,001428: 12,3322           00715                                    GUESSW                                
050144,001429: 12,3323           25467                                    NOGUESS                               
050145,001430: 12,3324           00051                                    TWEEKIT                               
050146,001431: 12,3325           00001                                    00001                                 
050147,001432: 12,3326           77745                           DLOAD                                          
050148,001433: 12,3327           02766                                    COGA                                  
050149,001434: 
050150,001435: 12,3330           77605        LAMBLOOP           DMP                                            
050151,001436: 12,3331           02730                                    SNTH                                  
050152,001437: 12,3332           45342                           SR1      DSU                                   
050153,001438: 12,3333           02736                                    CSTH-RHO                              
050154,001439: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
050155,001440: 12,3335           00047                                    X1                                    
050156,001441: 12,3336           02734                                    1-CSTH                                
050157,001442: 12,3337           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
050158,001443: 12,3340           20170                                    0          -9D,1                      
050159,001444: 12,3341           53040                           BMN      BZE                                   
050160,001445: 12,3342           25417                                    NEGP                                  
050161,001446: 12,3343           25417                                    NEGP                                  
050162,001447: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
050163,001448: 12,3345           02766                                    COGA                                  
050164,001449: 12,3346           43316                           DSQ      DAD                                   
050165,001450: 12,3347           11045                                    D1/1024                               
050166,001451: 12,3350           41301                           NORM     DMP                                   
050167,001452: 12,3351           00047                                    X1                                    
050168,001453: 12,3352           02740                                    P                                     

Page 1195

050170,001455: 12,3353           44257                           SR*      BDSU                                  
050171,001456: 12,3354           20571                                    0          -8D,1                      
050172,001457: 12,3355           11043                                    D1/32                                 
050173,001458: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
050174,001459: 12,3357           02740                                    P                                     
050175,001460: 12,3360           45000                           BOV      CALL                                  
050176,001461: 12,3361           25422                                    HIENERGY                              
050177,001462: 12,3362           24767                                    GETX                                  
050178,001463: 12,3363           77745                           DLOAD                                          
050179,001464: 12,3364           00037                                    T                                     
050180,001465: 12,3365           16762                           STODL    TPREV                                 
050181,001466: 12,3366           00031                                    XI                                    
050182,001467: 12,3367           45014                           BON      CALL                                  
050183,001468: 12,3370           04310                                    INFINFLG                              
050184,001469: 12,3371           25417                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
050185,001470: 12,3372           24421                                    DELTIME                               
050186,001471: 12,3373           44200                           BOV      BDSU                                  
050187,001472: 12,3374           25437                                    BIGTIME                               
050188,001473: 12,3375           02671                                    TDESIRED                              
050189,001474: 12,3376           02760                           STORE    TERRLAMB                              
050190,001475: 12,3377           44246                           ABS      BDSU                                  
050191,001476: 12,3400           02764                                    EPSILONL                              
050192,001477: 12,3401           47044                           BPL      RTB                                   
050193,001478: 12,3402           25506                                    INITV                                 
050194,001479: 12,3403           24644                                    CHECKCTR                              
050195,001480: 12,3404           45030                           BHIZ     CALL                                  
050196,001481: 12,3405           25450                                    SUFFCHEK                              
050197,001482: 12,3406           24536                                    ITERATOR                              
050198,001483: 12,3407           53145                           DLOAD    BZE                                   
050199,001484: 12,3410           00155                                    MPAC                                  
050200,001485: 12,3411           25450                                    SUFFCHEK                              
050201,001486: 12,3412           77615                           DAD                                            
050202,001487: 12,3413           02766                                    COGA                                  
050203,001488: 12,3414           02766                           STORE    COGA                                  
050204,001489: 12,3415           77650                           GOTO                                           
050205,001490: 12,3416           25330                                    LAMBLOOP                              
050206,001491: 
050207,001492: 12,3417           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
050208,001493: 12,3420           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
050209,001494: 12,3421           25442                                    LOENERGY                              
050210,001495: 
050211,001496: 12,3422           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
050212,001497: 12,3423           00001                                    0                                     
050213,001498: 12,3424           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
050214,001499: 12,3425           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
050215,001500: 12,3426           70545        COMMONLM           DLOAD    SR1                                   
050216,001501: 12,3427           00015                                    DCOGA                                 

Page 1196

050218,001503: 12,3430           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
050219,001504: 12,3431           44254                           BZE      BDSU                                  
050220,001505: 12,3432           25450                                    SUFFCHEK                              
050221,001506: 12,3433           02766                                    COGA                                  
050222,001507: 12,3434           02766                           STORE    COGA                                  
050223,001508: 12,3435           77650                           GOTO                                           #  RESTART THIS LOOP
050224,001509: 12,3436           25330                                    LAMBLOOP                              
050225,001510: 
050226,001511: 12,3437           77745        BIGTIME            DLOAD                                          
050227,001512: 12,3440           02762                                    TPREV                                 
050228,001513: 12,3441           00037                           STORE    T                                     
050229,001514: 
050230,001515: 12,3442           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
050231,001516: 12,3443           00001                                    0                                     
050232,001517: 12,3444           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
050233,001518: 12,3445           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
050234,001519: 12,3446           77650                           GOTO                                           
050235,001520: 12,3447           25426                                    COMMONLM                              
050236,001521: 
050237,001522: 12,3450           51545        SUFFCHEK           DLOAD    ABS                                   
050238,001523: 12,3451           02760                                    TERRLAMB                              
050239,001524: 12,3452           41325                           PDDL     DMP                                   #                                PL AT 2D
050240,001525: 12,3453           02671                                    TDESIRED                              
050241,001526: 12,3454           11030                                    BEE17                                 
050242,001527: 12,3455           45215                           DAD      DSU                                   #                                PL AT 0D
050243,001528: 12,3456           11057                                    ONEBIT                                
050244,001529: 12,3457           43044                           BPL      SETGO                                 
050245,001530: 12,3460           25506                                    INITV                                 
050246,001531: 12,3461           02434                                    SOLNSW                                
050247,001532: 12,3462           25506                                    INITV                                 
050248,001533: 12,3463           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
050249,001534: 12,3464           00001                                    0                                     
050250,001535: 12,3465           02434                                    SOLNSW                                
050251,001536: 12,3466           02710                                    RTNLAMB                               
050252,001537: 
050253,001538: 12,3467           71331        NOGUESS            SSP      DLOAD                                 
050254,001539: 12,3470           00051                                    TWEEKIT                               
050255,001540: 12,3471           10000                                    20000                                 
050256,001541: 12,3472           00011                                    COGAMIN                               
050257,001542: 12,3473           65342                           SR1      PDDL                                  #                                PL AT 2
050258,001543: 12,3474           00017                                    COGAMAX                               
050259,001544: 12,3475           43342                           SR1      DAD                                   
050260,001545: 12,3476           77626                           STADR                                          #                                PL AT 0
050261,001546: 12,3477           75011                           STORE    COGA                                  
050262,001547: 12,3500           00015                           STORE    DCOGA                                 
050263,001548: 12,3501           77650                           GOTO                                           

Page 1197

050265,001550: 12,3502           25330                                    LAMBLOOP                              
050266,001551: 
050267,001552: 12,3503           52145        LOLIM              DLOAD    GOTO                                  
050268,001553: 12,3504           11063                                    COGLOLIM                              #  COGLOLIM=-.999511597
050269,001554: 12,3505           25320                                    MINCOGA                               
050270,001555: 
050271,001556: 12,3506           60345        INITV              DLOAD    NORM                                  
050272,001557: 12,3507           00041                                    R1                                    
050273,001558: 12,3510           00047                                    X1                                    
050274,001559: 12,3511           70525                           PDDL     SR1                                   #                                PL AT 2
050275,001560: 12,3512           02740                                    P                                     
050276,001561: 12,3513           77671                           DDV                                            #                                PL AT 0
050277,001562: 12,3514           75457                           SL*      SQRT                                  
050278,001563: 12,3515           20175                                    0          -4,1                       
050279,001564: 12,3516           72405                           DMP      SL1                                   
050280,001565: 12,3517           00021                                    ROOTMU                                
050281,001566: 12,3520           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
050282,001567: 12,3521           02766                                    COGA                                  
050283,001568: 12,3522           74261                           SL       VXSC                                  
050284,001569: 12,3523           20206                                    5                                     
050285,001570: 12,3524           02722                                    UR1                                   
050286,001571: 12,3525           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
050287,001572: 12,3526           76561                           VXSC     VSL1                                  
050288,001573: 12,3527           02674                                    UN                                    
050289,001574: 12,3530           53235                           VXV      VAD                                   #                                PL AT 0
050290,001575: 12,3531           02722                                    UR1                                   
050291,001576: 12,3532           77772                           VSL1                                           
050292,001577: 12,3533           02744                           STORE    VVEC                                  
050293,001578: 12,3534           53135                           SLOAD    BZE                                   
050294,001579: 12,3535           02702                                    VTARGTAG                              
050295,001580: 12,3536           25541                                    TARGETV                               
050296,001581: 12,3537           77650                           GOTO                                           
050297,001582: 12,3540           02710                                    RTNLAMB                               
050298,001583: 
050299,001584: 12,3541           45145        TARGETV            DLOAD    CALL                                  
050300,001585: 12,3542           02720                                    MAGVEC2                               
050301,001586: 12,3543           24701                                    LAMENTER                              
050302,001587: 12,3544           02703                           STORE    VTARGET                               
050303,001588: 12,3545           77650                           GOTO                                           
050304,001589: 12,3546           02710                                    RTNLAMB                               
050305,001590: 

Page 1198

050307,001592: 12,3547           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
050308,001593: 12,3550           02710                                    RTNTR                                 
050309,001594: 12,3551           00001                                    0                                     
050310,001595: 12,3552           77600                           BOV                                            
050311,001596: 12,3553           25554                                    +1                                    
050312,001597: 12,3554           63375                           VLOAD    PDVL                                  #                                PL AT 6
050313,001598: 12,3555           02655                                    RVEC                                  
050314,001599: 12,3556           02744                                    VVEC                                  
050315,001600: 12,3557           77624                           CALL                                           
050316,001601: 12,3560           11064                                    PARAM                                 
050317,001602: 12,3561           71200                           BOV      DLOAD                                 #                                PL AT 0
050318,001603: 12,3562           24764                                    COGAOVFL                              
050319,001604: 12,3563           11043                                    D1/32                                 
050320,001605: 12,3564           41225                           DSU      DMP                                   
050321,001606: 12,3565           02742                                    R1A                                   
050322,001607: 12,3566           02740                                    P                                     
050323,001608: 12,3567           41366                           SQRT     DMP                                   
050324,001609: 12,3570           02766                                    COGA                                  
050325,001610: 12,3571           74212                           SL4      VXSC                                  
050326,001611: 12,3572           02712                                    U2                                    
050327,001612: 12,3573           45325                           PDDL     DSU                                   #                                PL AT 6
050328,001613: 12,3574           11035                                    D1/64                                 
050329,001614: 12,3575           02742                                    R1A                                   
050330,001615: 12,3576           52361                           VXSC     VSU                                   #                                PL AT 0
050331,001616: 12,3577           02722                                    UR1                                   
050332,001617: 12,3600           53512                           VSL4     UNIT                                  
050333,001618: 12,3601           77600                           BOV                                            
050334,001619: 12,3602           25660                                    CIRCULAR                              
050335,001620: 12,3603           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
050336,001621: 12,3604           02756                                    RDESIRED                              #  36D=ECC (+3)
050337,001622: 12,3605           00047                                    X1                                    
050338,001623: 12,3606           41325                           PDDL     DMP                                   #                                PL AT 8
050339,001624: 12,3607           00041                                    R1                                    
050340,001625: 12,3610           02740                                    P                                     
050341,001626: 12,3611           56257                           SL*      DDV                                   #                                PL AT 6
050342,001627: 12,3612           20201                                    0,1                                   
050343,001628: 12,3613           56225                           DSU      DDV                                   
050344,001629: 12,3614           11041                                    D1/16                                 
050345,001630: 12,3615           00045                                    36D                                   #  36D=ECC (+3)
050346,001631: 12,3616           00031                           STORE    COSF                                  
050347,001632: 12,3617           63400                           BOV      DSQ                                   
050348,001633: 12,3620           25664                                    BADR2                                 
050349,001634: 12,3621           50021                           BDSU     BMN                                   
050350,001635: 12,3622           11037                                    D1/4                                  
050351,001636: 12,3623           25664                                    BADR2                                 
050352,001637: 12,3624           75366                           SQRT     SIGN                                  
050353,001638: 12,3625           02755                                    SGNRDOT                               
050354,001639: 12,3626           77614                           CLEAR                                          
050355,001640: 12,3627           04272                                    APSESW                                

Page 1199

050357,001642: 12,3630           76561        TERMNVEC           VXSC     VSL1                                  
050358,001643: 12,3631           02674                                    UN                                    
050359,001644: 12,3632           63235                           VXV      PDVL                                  #  VXCH WITH 0D                  PL AT 0,6
050360,001645: 12,3633           00001                                    0D                                    
050361,001646: 12,3634           53361                           VXSC     VAD                                   #                                PL AT 0
050362,001647: 12,3635           00031                                    COSF                                  
050363,001648: 12,3636           41572                           VSL1     PUSH                                  #  0D=U2                         PL AT 6
050364,001649: 
050365,001650: 12,3637           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
050366,001651: 12,3640           02722                                    UR1                                   
050367,001652: 12,3641           25756                                    DP1/4                                 
050368,001653: 12,3642           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
050369,001654: 12,3643           25644                                    +1                                    #  CLEAR OVFIND IF SET
050370,001655: 12,3644           26732                           STOVL    CSTH                                  #  CSTH (+1)
050371,001656: 12,3645           02722                                    UR1                                   
050372,001657: 12,3646           76435                           VXV      VSL1                                  
050373,001658: 12,3647           72441                           DOT      SL1                                   
050374,001659: 12,3650           02674                                    UN                                    
050375,001660: 12,3651           16730                           STODL    SNTH                                  #  SNTH (+1)
050376,001661: 12,3652           02740                                    P                                     
050377,001662: 12,3653           77624                           CALL                                           
050378,001663: 12,3654           24767                                    GETX                                  
050379,001664: 12,3655           77614                           CLRGO                                          
050380,001665: 12,3656           02634                                    SOLNSW                                
050381,001666: 12,3657           24747                                    COMMNOUT                              
050382,001667: 
050383,001668: 12,3660           43001        CIRCULAR           SETPD    SETGO                                 
050384,001669: 12,3661           00001                                    0                                     
050385,001670: 12,3662           02434                                    SOLNSW                                
050386,001671: 12,3663           25742                                    ABTCONIC                              
050387,001672: 
050388,001673: 12,3664           75345        BADR2              DLOAD    SIGN                                  
050389,001674: 12,3665           24005                                    LODPHALF                              
050390,001675: 12,3666           00031                                    COSF                                  
050391,001676: 12,3667           14031                           STODL    COSF                                  
050392,001677: 12,3670           24007                                    KEPZERO                               
050393,001678: 12,3671           77614                           SETGO                                          
050394,001679: 12,3672           04032                                    APSESW                                
050395,001680: 12,3673           25630                                    TERMNVEC                              
050396,001681: 

Page 1200

050398,001683: 12,3674           40220        APSIDES            STQ      SETPD                                 #                                PL AT 0
050399,001684: 12,3675           02710                                    RTNAPSE                               
050400,001685: 12,3676           00001                                    0D                                    
050401,001686: 12,3677           77600                           BOV                                            
050402,001687: 12,3700           25701                                    +1                                    
050403,001688: 12,3701           63375                           VLOAD    PDVL                                  #                                PL AT 6
050404,001689: 12,3702           02655                                    RVEC                                  
050405,001690: 12,3703           02744                                    VVEC                                  
050406,001691: 12,3704           77624                           CALL                                           
050407,001692: 12,3705           11064                                    PARAM                                 
050408,001693: 12,3706           77600                           BOV                                            #                                PL AT 0
050409,001694: 12,3707           25710                                    GETECC                                
050410,001695: 12,3710           42405        GETECC             DMP      SL4                                   
050411,001696: 12,3711           02742                                    R1A                                   
050412,001697: 12,3712           75421                           BDSU     SQRT                                  
050413,001698: 12,3713           11035                                    D1/64                                 
050414,001699: 12,3714           02752                           STORE    ECC                                   
050415,001700: 12,3715           65215                           DAD      PDDL                                  #                                PL AT 2
050416,001701: 12,3716           11031                                    D1/8                                  
050417,001702: 12,3717           00041                                    R1                                    
050418,001703: 12,3720           72405                           DMP      SL1                                   
050419,001704: 12,3721           02740                                    P                                     
050420,001705: 12,3722           77671                           DDV                                            #                                PL AT 0
050421,001706: 12,3723           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)            PL AT 2
050422,001707: 12,3724           02742                                    R1A                                   
050423,001708: 12,3725           00047                                    X1                                    
050424,001709: 12,3726           53725                           PDDL     SL*                                   #                                PL AT 4
050425,001710: 12,3727           00041                                    R1                                    
050426,001711: 12,3730           20174                                    0          -5,1                       
050427,001712: 12,3731           45271                           DDV      DSU                                   #                                PL AT 2,0
050428,001713: 12,3732           50000                           BOV      BMN                                   
050429,001714: 12,3733           25737                                    INFINAPO                              
050430,001715: 12,3734           25737                                    INFINAPO                              
050431,001716: 12,3735           77650                           GOTO                                           
050432,001717: 12,3736           02710                                    RTNAPSE                               
050433,001718: 12,3737           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
050434,001719: 12,3740           24020                                    LDPOSMAX                              
050435,001720: 12,3741           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
050436,001721: 

Page 1201

050438,001723: 12,3742           77776        ABTCONIC           EXIT                                           
050439,001724: 12,3743           05652                           TC       POODOO                                
050440,001725: 12,3744           00607                           OCT      00607                                 
050441,001726: 

Page 1202

050443,001728: 12,3745  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
050444,001729: 
050445,001730:                                                                                                  #  ERASABLE ASSIGNMENTS
050446,001731: 
050447,001732:                                                                                                  #  KEPLER SUBROUTINE
050448,001733: 
050449,001734:                                                                                                  #        INPUT -
050450,001735:                                                                                                  #  RRECT         ERASE   +5
050451,001736:                                                                                                  #  VRECT         ERASE   +5
050452,001737:                                                                                                  #  TAU.          ERASE   +1

Handwritten "NEW" next to XKEP.

050454,001739:                                                                                                  #  XKEP          ERASE   +1
050455,001740:                                                                                                  #  TC            ERASE   +1
050456,001741:                                                                                                  #  XPREV         ERASE   +1
050457,001742: 12,3745                        1/MU               EQUALS   14D                                   
050458,001743: 12,3745                        ROOTMU             EQUALS   16D                                   
050459,001744: 12,3745                        1/ROOTMU           EQUALS   18D                                   
050460,001745: 
050461,001746:                                                                                                  #        OUTPUT -
050462,001747:                                                                                                  #  RCV           ERASE   +5
050463,001748:                                                                                                  #  VCV           ERASE   +5

The beginning of the next line is garbled, but I believe that it is RC with a hand-written correction to TC — RSB, 2016.

050465,001750:                                                                                                  #  RC            ERASE   +1
050466,001751:                                                                                                  #  XPREV         ERASE   +1
050467,001752: 
050468,001753:                                                                                                  #        DEBRIS -
050469,001754: 12,3745                        ALPHA              EQUALS   8D                                    
050470,001755: 12,3745                        XMAX               EQUALS   10D                                   
050471,001756: 12,3745                        XMIN               EQUALS   12D                                   
050472,001757: 12,3745                        X                  EQUALS   20D                                   
050473,001758: 12,3745                        XI                 EQUALS   24D                                   
050474,001759: 12,3745                        S(XI)              EQUALS   26D                                   
050475,001760: 12,3745                        XSQC(XI)           EQUALS   28D                                   
050476,001761: 12,3745                        T                  EQUALS   30D                                   
050477,001762: 12,3745                        R1                 EQUALS   32D                                   
050478,001763: 12,3745                        KEPC1              EQUALS   34D                                   
050479,001764: 12,3745                        KEPC2              EQUALS   36D                                   
050480,001765:                                                                                                  #  DELX          ERASE   +1
050481,001766:                                                                                                  #  DELT          ERASE   +1
050482,001767:                                                                                                  #  URRECT        ERASE   +5
050483,001768:                                                                                                  #  RCNORM        ERASE   +1
050484,001769:                                                                                                  #  XPREV         EQUALS  XKEP
050485,001770: 
050486,001771: 
050487,001772:                                                                                                  #  LAMBERT SUBROUTINE
050488,001773: 
050489,001774:                                                                                                  #        INPUT -
050490,001775:                                                                                                  #  R1VEC         ERASE   +5
050491,001776:                                                                                                  #  R2VEC         ERASE   +5
050492,001777:                                                                                                  #  TDESIRED      ERASE   +1
050493,001778:                                                                                                  #  GEOMSGN       ERASE   +0
050494,001779:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT

Page 1203

050496,001781:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
050497,001782:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
050498,001783:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
050499,001784:                                                                                                  #  VTARGTAG      ERASE   +0
050500,001785:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
050501,001786: 
050502,001787:                                                                                                  #        OUTPUT -
050503,001788:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
050504,001789:                                                                                                  #  V1VEC         EQUALS  MPAC
050505,001790: 
050506,001791:                                                                                                  #        DEBRIS -
050507,001792:                                                                                                  #  RTNLAMB       ERASE   +0
050508,001793:                                                                                                  #  U2            ERASE   +5
050509,001794:                                                                                                  #  MAGVEC2       ERASE   +1
050510,001795:                                                                                                  #  UR1           ERASE   +5

There is a hand-written 32D to the right of the next line.

050512,001797:                                                                                                  #  R1            EQUALS  31D
050513,001798:                                                                                                  #  UN            ERASE   +5
050514,001799:                                                                                                  #  SNTH          ERASE   +1
050515,001800:                                                                                                  #  CSTH          ERASE   +1
050516,001801:                                                                                                  #  1-CSTH        ERASE   +1
050517,001802:                                                                                                  #  CSTH-RHO      ERASE   +1
050518,001803: 12,3745                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
050519,001804: 12,3745                        COGAMIN            EQUALS   8D                                    
050520,001805: 12,3745                        DCOGA              EQUALS   12D                                   
050521,001806:                                                                                                  #  TWEEKIT       EQUALS  40D
050522,001807:                                                                                                  #  P             ERASE   +1
050523,001808:                                                                                                  #  COGA          ERASE   +1
050524,001809:                                                                                                  #  R1A           ERASE   +1
050525,001810:                                                                                                  #  X             EQUALS  20D
050526,001811:                                                                                                  #  XSQ           EQUALS  22D
050527,001812:                                                                                                  #  XI            EQUALS  24D
050528,001813:                                                                                                  #  S(XI)         EQUALS  26D
050529,001814:                                                                                                  #  XSQC(XI)      EQUALS  28D
050530,001815:                                                                                                  #  T             EQUALS  30D
050531,001816:                                                                                                  #  KEPC1         EQUALS  34D
050532,001817:                                                                                                  #  KEPC2         EQUALS  36D
050533,001818:                                                                                                  #  SLOPESW
050534,001819:                                                                                                  #  SOLNSW
050535,001820: 
050536,001821:                                                                                                  #        OTHERS -
050537,001822:                                                                                                  #  RVEC          EQUALS  R1VEC
050538,001823:                                                                                                  #  VVEC          ERASE   +5
050539,001824:                                                                                                  #  COGAFLAG
050540,001825:                                                                                                  #  RVSW
050541,001826:                                                                                                  #  INFINFLG
050542,001827:                                                                                                  #  APSESW
050543,001828:                                                                                                  #  360SW
050544,001829:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
050545,001830:                                                                                                  #  ECC           ERASE   +1
050546,001831:                                                                                                  #  RTNTR         EQUALS  RTNLAMB

Page 1204

050548,001833:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
050549,001834:                                                                                                  #  R2            EQUALS  MAGVEC2
050550,001835: 12,3745                        COSF               EQUALS   24D                                   
050551,001836:                                                                                                  #  RTNPRM        ERASE   +0
050552,001837:                                                                                                  #  SGNRDOT       ERASE   +0
050553,001838:                                                                                                  #  RDESIRED      ERASE   +1
050554,001839: 
050555,001840: 
050556,001841:                                                                                                  #  ITERATOR SUBROUTINE
050557,001842:                                                                                                  #  ORDERSW
050558,001843: 12,3745                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
050559,001844: 12,3745                        MIN                EQUALS   8D                                    

"E5,1765" is hand-written next to the following.

050561,001846:                                                                                                  #  INDEP         ERASE   +1
050562,001847: 12,3745                        DELINDEP           EQUALS   12D                                   
050563,001848: 12,3745                        ITERCTR            EQUALS   22D                                   
050564,001849: 12,3745                        DEP                EQUALS   30D                                   

"E5,1757" is hand-written next to the following.

050566,001851:                                                                                                  #  DELDEP        ERASE   +1

"E5,1761" is hand-written next to the following.

050568,001853:                                                                                                  #  DEPREV        ERASE   +1
050569,001854: 12,3745                        TWEEKIT            EQUALS   40D                                   
050570,001855: 
050571,001856: 
050572,001857:                                                                                                  #  MORE KEPLER
050573,001858:                                                                                                  #  EPSILONT      ERASE   +1
050574,001859: 
050575,001860: 
050576,001861:                                                                                                  #  MORE LAMBERT
050577,001862:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
050578,001863:                                                                                                  #  TPREV         EQUALS  DEPREV
050579,001864: 
050580,001865:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD

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