Proof CONIC_SUBROUTINES
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@ -41,7 +41,7 @@
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# RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE. THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
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# INVOLVING ANY REALISTIC SET OF CONSTRAINTS. IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
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# EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
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# THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINES IN MISSION PROGRAMMING
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# THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
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# DEFINITION MEMO NO. 10. THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROUTINES
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# APPROPRIATELY.
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#
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@ -77,8 +77,8 @@
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# IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
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# EXTRAPOLATING THE POSITION BACKWARD IN TIME.
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#
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# IF THE ABSOLUTE VALUE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
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# MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME AS USUAL.
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# IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
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# MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
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#
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# THE RESTRICTIONS ARE --
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# 1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
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@ -86,7 +86,7 @@
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# ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
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#
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# THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
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# GUESS, XKFPNEW. THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
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# GUESS, XKEPNEW. THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
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# FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
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#
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# REFERENCES --
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@ -126,7 +126,7 @@
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# THE INTERRUPTED JOB. THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
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# ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
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#
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# ABORT EXIT MODE --
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# ABORT EXIT MODES --
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# NONE
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#
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# OUTPUT --
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@ -151,13 +151,13 @@
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# URRECT +1 DP UNIT VECTOR OF INITIAL POSITION
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# R1 +29 FOR EARTH DP MAGNITUDE OF INITIAL POSITION IN METERS
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# +27 FOR MOON
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# ALPHA -22 FOR EARTH DP INVERSE OF SEMI-MAJOR AXIS IN 1/METERS
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# ALPHA -22 FOR EARTH DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
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# -20 FOR MOON
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# TMODULO +28 DP INTEGRAL NUMBER OF PERIODS IN CENTISECS, WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
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# TAU. OF LESS THAN ONE PERIOD.
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#
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# PARAMETERS OF NO USE --
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# DP PARAMETERS -- FPSILENT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
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# DP PARAMETERS -- EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
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# Page 1266
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# PROGRAM DESCRIPTION -- LAMBERT SUBROUTINE DATE -- 1 SEPTEMBER 1967
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@ -181,7 +181,7 @@
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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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# THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION'S SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
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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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#
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@ -204,13 +204,13 @@
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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 1267
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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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# COGA +5 DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL). THIS WILL BE
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# IGNORED IF GUESSW IS SET.
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# NORMSW NONE AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
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# LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
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# UN +1 DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
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# MOMENTUM VECTOR. THIS WILL BE IGNORED IF NORMSW IS CLEAR.
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# VTARGTAG NONE A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY OF R2VEC AS WELL AS
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# VTARGTAG NONE A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
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# AT R1VEC.
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#
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# SUBROUTINES CALLED --
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@ -224,16 +224,16 @@
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# L+3 SOLNSW
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# L+4 LAMABORT
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#
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# IF A LAMBER RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
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# IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
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# GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
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#
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# ABORT EXIT MODES --
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# IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
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# WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2FEC. IN EITHER CASE THE FIX MUST BE MADE
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# WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC. IN EITHER CASE THE FIX MUST BE MADE
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# ACCORDING TO THE NEEDS OF THE PARTICULAR USER. THE ABORT EXIT MODE MAY BE CODED AS ...
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# LAMBERT DLOAD ABS # A MEASURE OF THE PROXIMITY TO 0 OR
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# 1-CHTH # 360 DEGREES.
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# DSU BWM
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# 1-CSTH # 360 DEGREES.
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# DSU BMN
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# ONEBIT
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# CHANGER2 # CHANGE R2VEC DIRECTION SLIGHTLY.
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# DLOAD DAD
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@ -266,7 +266,7 @@
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# 1-CSTH +2 DP 1-CSTH
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# COGA +5 DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
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# P +4 DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
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# R1A +6 DP RATIO OF INITIAL RADIUS TO SEMI-MAJOR AXIS
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# R1A +6 DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
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# R1 (32D) +29 FOR EARTH DP INITIAL RADIUS IN METERS
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# +27 FOR MOON
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# UR1 +1 DP UNIT VECTOR OF R1VEC
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@ -292,7 +292,7 @@
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# THE RESTRICTIONS ARE --
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# 1. 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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# 2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSCP. IF THE LIMITS
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# 2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP. IF THE LIMITS
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# ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
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#
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# THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
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@ -308,7 +308,7 @@
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# +27 FOR MOON
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# VVEC +7 FOR EARTH DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
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# +5 FOR MOON
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# SNTH +1 ` DP SINE OF THE TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
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# SNTH +1 DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
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# CSTH +1 DP COSINE OF THE ANGLE
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# RVSW NONE AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
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# IS TO BE COMPUTED ALSO.
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@ -333,7 +333,7 @@
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# # THE INITIAL VELOCITY VECTOR IN MPAC.
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# L+3 STOVL NEWVVEC
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# L+4 STADR
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# L+5 STORE NEWRVEC # NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USER'S LOCATIONS.
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# L+5 STORE NEWRVEC # NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
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# L+6 ... # CONTINUE.
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#
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# ABORT EXIT MODES --
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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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# T(30D) +28 DP TRANSFER TIME IN CENTISECONDS
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# T (30D) +28 DP TRANSFER TIME IN CENTISECONDS
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# INFINFLG NONE AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
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# INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
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# COGAFLAG NONE AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
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# -------- -------------- -----------------------
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# R1 (32D) +29 FOR EARTH DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
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# +27 FOR MOON
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# R1A +6 DP RATIO OF R1 TO SEMI-MAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
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# R1A +6 DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
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# P +4 DP RATIO OF SEMILATUS RECTUM TO R1
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# COGA +5 DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
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# UR1 +1 DP UNIT VECTOR OF RVEC
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# # THE INITIAL VELOCITY VECTOR IN MPAC.
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# L+3 STOVL NEWVVEC
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# L+4 STADR
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# L+5 STORE NEWRVEC # NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USER'S LOCATIONS.
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# L+5 STORE NEWRVEC # NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
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# L+6 ... # CONTINUE
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#
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# ABORT EXIT MODES --
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# -------- -------------- -----------------------
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# R1 (32D) +29 FOR EARTH DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
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# +27 FOR MOON
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# R1A +6 DP RATIO OF R1 TO SEMI-MAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
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# R1A +6 DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
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# P +4 DP RATIO OF SEMILATUS RECTUM TO R1
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# COGA +5 DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
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# UR1 +1 DP UNIT VECTOR OF RVEC
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@ -493,7 +493,7 @@
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# SNTH +1 DP SINE OF TRUE ANOMALY DIFFERENCE.
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#
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# PARAMETERS OF NO USE --
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# SP PARAMETERS -- RTNTT, GEOMSGN, RTNPRM, MAGVEC2*R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
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# SP PARAMETERS -- RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
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# ADDITIONAL INTERPRETIVE SWITCHES USED -- NORMSW, 360SW
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#
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# L+1 APSIDES # RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
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# L+2 STODL APOAPSE
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# L+3 0D
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# L+4 STORE PERIAPSE # APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USER'S LOCATIONS
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# L+4 STORE PERIAPSE # APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
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# L+5 ... # CONTINUE
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#
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# OUTPUT --
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# -------- -------------- -----------------------
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# R1 (32D) +29 FOR EARTH DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
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# +27 FOR MOON
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# R1A +6 DP RATIO OF R1 TO SEMI-MAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
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# R1A +6 DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
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# P +4 DP RATIO OF SEMILATUS RECTUM TO R1
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# COGA +5 DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
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# UR1 +1 DP UNIT VECTOR OF RVEC
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@ -810,7 +810,7 @@ KEPCONVG DLOAD SR4R
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T
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SL1 VXSC
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VRECT
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VSL1 VAD
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VSL1 VAD # PL AT 0
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VSL4
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STORE RCV # RCV (+29 OR +27)
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@ -975,7 +975,7 @@ MODNGDEL DLOAD DSU # TRIAL DELINDEP WOULD EXCEED MIN BOUND
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FIRSTIME DLOAD DMP
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MIN
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TWEEKIT # DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
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PDDL DMP # S2(41D) SHOULDN'T CONTAIN HI ORDER ONES
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PDDL DMP # S2(41D) SHOULDNT CONTAIN HI ORDER ONES
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# Page 1286
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MAX
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TWEEKIT
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@ -1060,8 +1060,8 @@ LAMENTER NORM
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R2
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BDSU
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D1/256
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VXSC VAD
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VVEC # PL AT 6
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VXSC VAD # PL AT 6
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VVEC
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VSL8 RVQ
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# Page 1288
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@ -1118,8 +1118,8 @@ TIMETHET STQ SETPD # PL AT 0
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VVEC
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CALL
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PARAM
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BOV CALL
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COGAOVFL # PL AT 0
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BOV CALL # PL AT 0
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COGAOVFL
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GETX
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COMMNOUT DLOAD BON
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XI
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@ -1349,15 +1349,15 @@ INVRSEQN DLOAD SQRT
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R1A
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DMP SR4
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34D
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TAD
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BMN SQRT # PL AT 4
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TAD # PL AT 4
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BMN SQRT
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INFINITY
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DAD # PL AT 2
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TIX,2 NORM
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1/WLOOP
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X1
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BDDV
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SLR* GOTO # PL AT 0
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BDDV # PL AT 0
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SLR* GOTO
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0 -7,1
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POLYCOEF
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SUFFCHEK DLOAD ABS
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TERRLAMB
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PDDL DMP
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TDESIRED # PL AT 2D
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PDDL DMP # PL AT 2D
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TDESIRED
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D1/4
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DAD DSU # PL AT 0D
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ONEBIT
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@ -1598,8 +1598,8 @@ INITV DLOAD NORM
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PDDL # XCH WITH 0D PL AT 0,6
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VXSC VSL1
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UN
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VXV VAD
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UR1 # PL AT 0
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VXV VAD # PL AT 0
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UR1
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VSL1 CLEAR
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SOLNSW
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STORE VVEC
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@ -1626,8 +1626,8 @@ TIMERAD STQ SETPD # PL AT 0
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VVEC
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CALL
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PARAM
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BOV DLOAD
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COGAOVFL # PL AT 0
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BOV DLOAD # PL AT 0
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COGAOVFL
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D1/32
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DSU DMP
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R1A
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@ -1645,7 +1645,7 @@ TIMERAD STQ SETPD # PL AT 0
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BOV
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CIRCULAR
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PDDL NORM # 0D=UNIT(ECC) (+3) PL AT 6
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RDESIRED # 35D=ECC (+3)
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RDESIRED # 36D=ECC (+3)
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X1
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PDDL DMP # PL AT 8
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R1
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@ -1826,7 +1826,7 @@ KEPC2 EQUALS 36D
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# TDESIRED ERASE +1
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# GEOMSGN ERASE +0
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# GUESSW # 0 IF COGA GUESS AVAILABLE, 1 IF NOT
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# COGA ERASE +1 # INPUT ONLY IF GUESS IS ZERO.
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# COGA ERASE +1 # INPUT ONLY IF GUESSW IS ZERO.
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# NORMSW # 0 IF UN TO BE COMPUTED, 1 IF UN INPUT
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# UN ERASE +5 # ONLY USED IF NORMSW IS 1
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# VTARGTAG ERASE +0
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@ -1865,7 +1865,7 @@ DCOGA EQUALS 12D
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# T EQUALS 30D
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# KEPC1 EQUALS 34D
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# KEPC2 EQUALS 36D
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# SLOPSW
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# SLOPESW
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# SOLNSW
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# OTHERS --
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@ -1885,7 +1885,7 @@ DCOGA EQUALS 12D
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COSF EQUALS 24D
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# RTNPRM ERASE +0
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# SCNRDOT ERASE +0
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# SGNRDOT ERASE +0
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# RDESIRED ERASE +1
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