proof(luminary099): page 1163
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# MOD NO. - 0 LOG SECTION - CONIC SUBROUTINES
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# MOD BY KRAUSE ASSEMBLY - COLOSSUS REVISION 88
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#
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#
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# FUNCTIONAL DESCRIPTION -
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#
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# THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
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# FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL. THE RESULTING TRAJECTORY MAY BE
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# A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO TEH EARTH OR THE MOON. THE USE OF THE
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# SUBROUTINE CAN BE EXTEDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
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# A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON. THE USE OF THE
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# SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
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# CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY. AN ITERATION TECHNIQUE IS
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# UTILIZED IN THE COMPUTATION.
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#
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@ -187,33 +189,34 @@
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# 1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
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# 2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
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# 3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
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# AND LESS THAN 178 DEGREES 12.5 MINUTES.
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# AND LESS THAN 178 DEGREES 12.5 MINUTES.
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# 4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
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# 5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP. IF THE
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# LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
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#
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# LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
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# THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
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# GUESS OF THE INDEPENDENT VARIABLE, COGA. THE AGC COMPUTATION TIME IS APPROXIMATELY
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# .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
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# GUESS OF THE INDEPENDENT VARIABLE, COGA. THE AGC COMPUTATION TIME IS APPROXIMATE-
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# LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
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#
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#
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# REFERENCES -
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# R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
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# SGA MEMO 67-4.
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# R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8,
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# SGA MEMO 67-4.
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#
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#
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# INPUT - ERASABLE INITIALIZATION REQUIRED
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#
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# * SCALE FACTOR *
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# VARIABLE *IN POWERS OF 2 * DESCRIPTION AND REMARKS
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# -------- *-------------- * -----------------------
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# R1VEC * +29 FOR EARTH * DP INITIAL POSITION VECTOR IN METERS
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# * +27 FOR MOON *
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# R2VEC * +29 FOR EARTH * DP TARGET OR TERMINAL POSITION VECTOR IN METERS
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# * +27 FOR MOON *
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# TDESIRED * +28 * DP DESIRED TRANSFER TIME IN CENTISECONDS
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# X1 (38D) * NONE * INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
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# * * RESPECTIVELY, IS THE CENTRAL BODY
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# GEOMSGN * NONE * SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
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# GUESSW * NONE * AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF
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# * SCALE FACTOR *
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# VARIABLE *IN POWERS OF 2* DESCRIPTION AND REMARKS
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# -------- *--------------* -----------------------
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# R1VEC * +29 FOR EARTH* DP INITIAL POSITION VECTOR IN METERS
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# * +27 FOR MOON *
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# R2VEC * +29 FOR EARTH* DP TARGET OR TERMINAL POSITION VECTOR IN METERS
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# * +27 FOR MOON *
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# TDESIRED * +28 * DP DESIRED TRANSFER TIME IN CENTISECONDS
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# X1 (38D) * NONE * INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
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# * * RESPECTIVELY, IS THE CENTRAL BODY
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# GEOMSGN * NONE * SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
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# GUESSW * NONE * AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF
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# Page 1164
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# * * COGA IS TO BE USED BY LAMBERT
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# COGA * +5 * DP GUESS OF COTANGENT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL). THIS WILL BE
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