* Proof FIXED_FIXED_CONSTANT_POOL (#207) * wip(pp. 1373-1377): Proof TIME_OF_FREE_FALL #264 * wip(pp. 1373-1383): Proof TIME_OF_FREE_FALL #264 * done(pp. 1373-1388): Proof TIME_OF_FREE_FALL #264
This commit is contained in:
Glenn Dwiyatcita
James Harris
parent
68c072a49e
commit
5de7ff6517
@ -30,33 +30,32 @@
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# Page 1373
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# Page 1373
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# THE TFF SUBROUTINES MAY BE USED IN EITHER EARTH OR MOON CENTERED COORDINATES. THE TFF ROUTINES NEVER
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# THE TFF SUBROUTINES MAY BE USED IN EITHER EARTH OR MOON CENTERED COORDINATES. THE TFF ROUTINES NEVER
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# KNOW WHICH ORIGIN APPLIES. IT IS THE USER WHO KNOWS, AND WHO SUPPLIES RONE, VONE, AND 1/SQRT(MU) AT THE
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# KNOW WHICH ORIGIN APPLIES. IT IS THE USER WHO KNOWS, AND WHO SUPPLIES RONE, VONE AND 1/SQRT(MU) AT THE
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# APPROPRIATE SCALE LEVEL FOR THE PROPER PRIMARY BODY.
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# APPROPRIATE SCALE LEVEL FOR THE PROPER PRIMARY BODY.
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#
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# EARTH ORIGIN POSITION -29 METERS
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# EARTH ORIGIN POSITION -29 METERS
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# VELOCITY -7 METERS/CENTISECOND
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# VELOCITY -7 METERS/CENTISECOND
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# 1/SQRT(MU) +17 SQRT(CS SQ/METERS CUBED)
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# 1/SQRT(MU) +17 SQRT(CS SQ/METERS CUBED)
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#
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# MOON ORIGIN POSITION -27 METERS
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# MOON ORIGIN POSITION -27 METERS
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# VELOCITY -5 METERS/CENTISECONDS
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# VELOCITY -5 METERS/CENTISECONDS
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# 1/SQRT(MU) +14 SQRT(CS SQ/METERS CUBED)
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# 1/SQRT(MU) +14 SQRT(CS SQ/METERS CUBED)
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#
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# ALL DATA PROVIDED TO AND RECEIVED FROM ANY TFF SUBROUTINE WILL BE AT ONE OF THE LEVELS ABOVE. IN ALL CASES,
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# ALL DATA PROVIDED TO AND RECEIVED FROM ANY TFF SUBROUTINE WILL BE AT ONE OF THE LEVELS ABOVE. IN ALL CASES,
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# THE FREE FALL TIME IS RETURNED IN CENTISECONDS AT (-28). PROGRAM TFF/CONIC WILL GENERATE VONE/RTMU AND
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# THE FREE FALL TIME IS RETURNED IN CENTISECONDS AT (-28). PROGRAM TFF/CONIC WILL GENERATE VONE/RTMU AND
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# LEAVE IT IN VONE' AT (+10) IF EARTH ORIGIN AND (+9) IF MOON ORIGIN.
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# LEAVE IT IN VONE' AT (+10) IF EARTH ORIGIN AND (+9) IF MOON ORIGIN.
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#
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# THE USER MUST STORE THE STATE VECTOR IN RONE, VONE AND MU IN THE FORM 1/SQRT(MU) IN TFF/RTMU
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# THE USER MUST STORE THE STATE VECTOR IN RONE, VONE, AND MU IN THE FORM 1/SQRT(MU) IN TFF/RTMU
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# AT THE PROPER SCALE BEFORE CALLING TFF/CONIC. SINCE RONE, VONE ARE IN THE EXTENDED VERB STORAGE AREA,
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# AT THE PROPER SCALE BEFORE CALLING TFF/CONIC. SINCE RONE, VONE ARE IN THE EXTENDED VERB STORAGE AREA,
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# THE USER MUST ALSO LOCK OUT THE EXTENDED VERBS, AND RELEASE THEM WHEN FINISHED.
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# THE USER MUST ALSO LOCK OUT THE EXTENDED VERBS, AND RELEASE THEM WHEN FINISHED.
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#
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# PROGRAMS CALC/TFF AND CALC/TPER ASSUME THAT THE TERMINAL RADIUS IS LESS THAN THE PRESENT
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# PROGRAMS CALC/TFF AND CALC/TPER ASSUME THAT THE TERMINAL RADIUS IS LESS THAN THE PRESENT
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# RADIUS. THIS RESTRICTION CAN BE REMOVED BY A 15 W CODING CHANGE, BUT AT PRESENT IT IS NOT DEEMED NECESSARY.
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# RADIUS. THIS RESTRICTION CAN BE REMOVED BY A 15 W CODING CHANGE, BUT AT PRESENT IT IS NOT DEEMED NECESSARY.
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#
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#
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# THE FOLLOWING ERASABLE QUANTITIES ARE USED BY THE TFF ROUTINES, AND ARE LOCATED IN THE PUSH LIST.
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# THE FOLLOWING ERASABLE QUANTITIES ARE USED BY THE TFF ROUTINES, AND ARE LOCATED IN THE PUSH LIST.
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#
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#
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# BELOW E: IS USED FOR EARTH ORIGIN SCALE
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# BELOW E: IS USED FOR EARTH ORIGIN SCALE
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# M: IS USED FOR MOON ORIGIN SCALE
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# M: IS USED FOR MOON ORIGIN SCALE
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#
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#TFFSW = 119D # BIT1 0 = CALCTFF 1 = CALCTPER
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#TFFSW = 119D # BIT1 0 = CALCTFF 1 = CALCTPER
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TFFDELQ = 10D # Q2-Q1 E: (-16) M: (-15)
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TFFDELQ = 10D # Q2-Q1 E: (-16) M: (-15)
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RMAG1 = 12D # ABVAL(RN) M E: (-29) M: (-27)
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RMAG1 = 12D # ABVAL(RN) M E: (-29) M: (-27)
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@ -86,7 +85,7 @@ TFFTEM = 36D # TEMPORARY
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# LISHED IN TFF/CONIC AND MUST BE PRESERVED BETWEEN CALLS TO SUBSEQUENT
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# LISHED IN TFF/CONIC AND MUST BE PRESERVED BETWEEN CALLS TO SUBSEQUENT
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# SUBROUTINES.
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# SUBROUTINES.
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# -NR C(X1) = NORM COUNT OF RMAG
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# -NR C(X1) = NORM COUNT OF RMAG
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# -NA C(X2) = NORM COUNT OF SQRT(ABS(ALFA))
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# -NA C(X2)= NORM COUNT OF SQRT(ABS(ALFA))
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# Page 1375
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# Page 1375
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# SUBROUTINE NAME: TFFCONIC DATE: 01.29.67
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# SUBROUTINE NAME: TFFCONIC DATE: 01.29.67
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@ -95,48 +94,41 @@ TFFTEM = 36D # TEMPORARY
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# MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
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# MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
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# MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD MOON MU.
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# MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD MOON MU.
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# MOD NO: 3 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
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# MOD NO: 3 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
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#
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# FUNCTIONAL DESCRIPTION: THIS SUBROUTINE IS CALLED TO COMPUTE THOSE CONIC PARAMETERS REQUIRED BY THE TFF
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# FUNCTIONAL DESCRIPTION: THIS SUBROUTINE IS CALLED TO COMPUTE THOSE CONIC PARAMETERS REQUIRED BY THE TFF
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# SUBROUTINES AND TO ESTABLISH THEM IN THE PUSH LIST AREA. THE PARAMETERS ARE LISTED UNDER OUTPUT.
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# SUBROUTINES AND TO ESTABLISH THEM IN THE PUSH LIST AREA. THE PARAMETERS ARE LISTED UNDER OUTPUT.
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# THE EQUATIONS ARE:
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# THE EQUATIONS ARE:
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# _ __ __
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# - - -
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# H = RN*VN ANGULAR MOMENTUM
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# H = RN*VN ANGULAR MOMENTUM
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# _ _
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# - -
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# LCP = H.H / MU SEMI LATUS RECTUM
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# LCP = H.H / MU SEMI LATUS RECTUM
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# __ __
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# - -
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# ALFA = 2/RN - VN.VN / MU RECIPROCAL SEMI MAJ AXIS, SIGNED
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# ALFA = 2/RN - VN.VN / MU RECIPROCAL SEMI MAJ AXIS, SIGNED
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#
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# AND ALFA IS POS FOR ELLIPTIC ORBITS
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# AND ALFA IS POS FOR ELLIPTIC ORBITS
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# 0 FOR PARABOLIC ORBITS
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# 0 FOR PARABOLIC ORBITS
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# NEG FOR HYPERBOLIC ORBITS.
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# NEG FOR HYPERBOLIC ORBITS.
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# SUBROUTINE ALSO COMPUTES AND SAVES RMAG.
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# SUBROUTINE ALSO COMPUTES AND SAVES RMAG.
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#
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# CALLING SEQUENCE:
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# CALLING SEQUENCE:
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# TFFCONIC EXPECTS CALLER TO ENTER WITH CORRECT GRAVITATIONAL CONSTANT IN MPAC, IN THE FORM
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# TFFCONIC EXPECTS CALLER TO ENTER WITH CORRECT GRAVITATIONAL CONSTANT IN MPAC, IN THE FORM
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# 1/SQRT(MU). THE PROGRAM WILL SAVE IN TFF/RTMU. THE SCALE IS DETERMINED BY WHETHER EARTH OR MOON
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# 1/SQRT(MU). THE PROGRAM WILL SAVE IN TFF/RTMU . THE SCALE IS DETERMINED BY WHETHER EARTH OR MOON
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# ORIGIN IS USED. THE CALLER MUST LOCK OUT THE EXTENDED VERBS BEFORE PROVIDING STATE VECTOR IN RONE,
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# ORIGIN IS USED. THE CALLER MUST LOCK OUT THE EXTENDED VERBS BEFORE PROVIDING STATE VECTOR IN RONE,
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# VONE AT PROPER SCALE. THE EXTENDED VERBS MUST BE RESTORED WHEN THE CALLER IS FINISHED USING THE
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# VONE AT PROPER SCALE. THE EXTENDED VERBS MUST BE RESTORED WHEN THE CALLER IS FINISHED USING THE
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# TFF ROUTINES.
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# TFF ROUTINES.
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#
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# ENTRY POINT TFFCONMU EXPECTS THAT TFF/RTMU IS ALREADY LOADED.
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# ENTRY POINT TFFCONMU EXPECTS THAT TFF/RTMU IS ALREADY LOADED.
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#
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# TO SPECIFY MU: DLOAD CALL # IF MU ALREADY STORED: CALL
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# TO SPECIFY MU: DLOAD CALL # IF MU ALREADY STORED: CALL
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# YOURMU # 1/RTMU E:(17) M:(14) TFFCONMU
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# YOURMU # 1/RTMU E:(17) M:(14) TFFCONMU
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# TFFCONIC
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# TFFCONIC
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# PUSHLOC = PDL+0, ARBITRARY IF LEQ 18D
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# PUSHLOC = PDL+0, ARBITRARY IF LEQ 18D
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#
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# SUBROUTINES CALLED: NONE
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# SUBROUTINES CALLED: NONE
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#
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# NORMAL EXIT MODES: RVQ
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# NORMAL EXIT MODES: RVQ
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#
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# ALARMS: NONE
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# ALARMS: NONE
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#
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# OUTPUT: THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
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# OUTPUT: THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
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# RMAG1 E:(-29) M:(-27) M RN, PRESENT RADIUS LENGTH.
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# RMAG1 E:(-29) M:(-27) M RN, PRESENT RADIUS LENGTH.
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# NRMAG E:(-29+NR) M RMAG, NORMALIZED
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# NRMAG E:(-29+NR) M RMAG, NORMALIZED
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# M:(-27+NR)
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# M:(-27+NR)
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# X1 -NR, NORM COUNT
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# X1 -NR, NORM COUNT
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# TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHTED BY NR. FOR VGAMCALC.
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# TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHTED BY NR. FOR VGAMCALC
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# M:(-36+2NR)
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# M:(-36+2NR)
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# TFF/RTMU E:(17) M:(14) 1/SQRT(MU)
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# TFF/RTMU E:(17) M:(14) 1/SQRT(MU)
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# TFFVSQ E:(20) M:(18) 1/M -(V SQ/MU): PRESENT VELOCITY,NORMLIZED. FOR VGAMCALC
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# TFFVSQ E:(20) M:(18) 1/M -(V SQ/MU): PRESENT VELOCITY,NORMLIZED. FOR VGAMCALC
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@ -146,19 +138,17 @@ TFFTEM = 36D # TEMPORARY
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# M:(9+NA)
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# M:(9+NA)
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# Page 1376
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# Page 1376
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# X2 -NA, NORM COUNT
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# X2 -NA, NORM COUNT
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# TFF1/ALF E:(-22-2NA) SIGNED SEMI MAJ AXIS, WEIGHTED BY NA
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# TFF1/ALF E: (-22-2NA) SIGNED SEMI MAJ AXIS, WEIGHTED BY NA
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# M:(-20-2NA)
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# M: (-20-2NA)
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# PUSHLOC AT PDL+0
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# PUSHLOC AT PDL+0
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#
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# THE FOLLOWING IS STORED IN GENERAL ERASABLE
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# THE FOLLOWING IS STORED IN GENERAL ERASABLE
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# VONE' E:(10) M:(9) V/RT(MU), NORMALIZED VELOCITY
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# VONE' E:(10) M:(9) V/RT(MU), NORMALIZED VELOCITY
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#
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# ERASABLE INITIALIZATION REQUIRED:
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# ERASABLE INITIALIZATION REQUIRED:
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# RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY CALLER
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# RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY CALLER
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# VONE E:(-7) M:(-5) M/CS STATE VECTOR LEFT BY CALLER
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# VONE E:(-7) M:(-5) M/CS STATE VECTOR LEFT BY CALLER
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# TFF/RTMU E:(17) M:(14) 1/RT(CS SQ/M CUBE) IF ENTER VIA TFFCONMU.
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# TFF/RTMU E:(17) M:(14) 1/RT(CS SQ/M CUBE) IF ENTER VIA TFFCONMU.
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# DEBRIS: QPRET. PDL+0 ... PDL+3
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#
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#
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# DEBRIS: QPRET PDL+0 ... PDL+3
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BANK 33
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BANK 33
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SETLOC TOF-FF
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SETLOC TOF-FF
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@ -166,24 +156,24 @@ TFFTEM = 36D # TEMPORARY
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COUNT* $$/TFF
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COUNT* $$/TFF
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TFFCONIC STORE TFF/RTMU # 1/SQRT(MU) E:(17) M:(14)
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TFFCONIC STORE TFF/RTMU # 1/SQRT(MU) E: (17) M: (14)
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TFFCONMU VLOAD UNIT # COME HERE WITH TFFRTMU LOADED.
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TFFCONMU VLOAD UNIT # COME HERE WITH TFFRTMU LOADED.
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RONE # SAVED RN. M E:(-29) M:(-27)
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RONE # SAVED RN. M E: (-29) M: (-27)
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PDDL # UR/2 TO PDL+0, +5
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PDDL # UR/2 TO PDL+0, +5
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36D # MAGNITUDE
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36D # MAGNITUDE
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STORE RMAG1 # M E:(-29) M:(-27)
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STORE RMAG1 # M E:(-29) M:(-27)
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NORM
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NORM
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X1 # -NR
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X1 # -NR
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STOVL NRMAG # RMAG M E:(-29+NR) M:(-27+NR)
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STOVL NRMAG # RMAG M E: (-29+NR) M: (-27+NR)
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VONE # SAVED VN. M/CS E:(-7) M:(-5)
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VONE # SAVED VN. M/CS E: (-7) M: (-5)
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VXSC
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VXSC
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TFF/RTMU # E:(17) M:(14)
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TFF/RTMU # E:(17) M:(14)
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STORE VONE' # VN/SQRT(MU) E:(10) M:(9)
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STORE VONE' # VN/SQRT(MU) E: (10) M: (9)
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VXSC VXV
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VXSC VXV
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NRMAG # E:(-29+NR) M:(-27+NR)
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NRMAG # E: (-29+NR) M: (-27+NR)
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# UR/2 FROM PDL
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# UR/2 FROM PDL
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VSL1 VSQ # BEFORE: E:(-19+NR) M:(-18+NR)
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VSL1 VSQ # BEFORE: E:(-19+NR) M:(-18+NR)
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STODL TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
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STODL TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
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@ -212,7 +202,7 @@ TFFCONMU VLOAD UNIT # COME HERE WITH TFFRTMU LOADED.
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BZE BDDV # SET 1/ALFA =0, TO SHOW SMALL ALFA
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BZE BDDV # SET 1/ALFA =0, TO SHOW SMALL ALFA
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+2
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+2
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TFF1/4
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TFF1/4
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+2 STORE TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
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+2 STORE TFF1/ALF # 1/ALFA E:(-22-2 NA) M:(-20-2 NA)
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DUMPCNIC RVQ
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DUMPCNIC RVQ
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# 39 W
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# 39 W
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# Page 1378
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# Page 1378
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@ -221,46 +211,38 @@ DUMPCNIC RVQ
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# MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
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# MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
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# MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
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# MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
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# ALSO IMPROVE ACCURACY OF RAPO.
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# ALSO IMPROVE ACCURACY OF RAPO.
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#
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# FUNCTIONAL DESCRIPTION: USED BY CALCTPER AND TFF DISPLAYS TO CALCULATE PERIGEE RADIUS AND ALSO
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# FUNCTIONAL DESCRIPTION: USED BY CALCTPER AND TFF DISPLAYS TO CALCULATE PERIGEE RADIUS AND ALSO
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# APOGEE RADIUS FOR A GENERAL CONIC.
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# APOGEE RADIUS FOR A GENERAL CONIC.
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# PROGRAM GIVES PERIGEE RADIUS AS APOGEE RADIUS IS GIVEN BY
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# PROGRAM GIVES PERIGEE RADIUS AS APOGEE RADIUS IS GIVEN BY
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# RP = P/(1+E) RA = (1+E) / ALFA
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# RP = P /(1+E) RA = (1+E) / ALFA
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# WHERE 2
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# WHERE 2
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# E = 1 - P ALFA
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# E = 1 - P ALFA
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# IF RA IS NEGATIVE OR SHOWS DIVIDE OVERFLOW, THEN RA = POSMAX BECAUSE
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# IF RA IS NEGATIVE OR SHOWS DIVIDE OVERFLOW, THEN RA = POSMAX BECAUSE
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# 1. APOGEE RADIUS IS NOT MEANINGFUL FOR HYPERBOLA
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# 1. APOGEE RADIUS IS NOT MEANINGFUL FOR HYPERBOLA
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# 2. APOGEE RADIUS IS NOT DEFINED FOR PARABOLA
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# 2. APOGEE RADIUS IS NOT DEFINED FOR PARABOLA
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# 3. APOGEE RADIUS EXCEEDS THE SCALING FOR ELLIPSE.
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# 3. APOGEE RADIUS EXCEEDS THE SCALING FOR ELLIPSE.
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#
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# THIS SUBROUTINE REQUIRED THE SIGNED RECIPROCAL SEMI MAJ AXIS, ALFA, AND SEMI LATUS RECTUM AS DATA.
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# THIS SUBROUTINE REQUIRED THE SIGNED RECIPROCAL SEMI MAJ AXIS, ALFA, AND SEMI LATUS RECTUM AS DATA.
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#
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# CALLING SEQUENCE: CALL
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# CALLING SEQUENCE: CALL
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# TFFRP/RA
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# TFFRP/RA
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# PUSHLOC = PDL+0, ARBITRARY IF LEQ 10D
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# PUSHLOC = PDL+0, ARBITRARY IF LEQ 10D
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# C(MPAC) UNSPECIFIED
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# C(MPAC) UNSPECIFIED
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#
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# SUBROUTINES CALLED: NONE
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# SUBROUTINES CALLED: NONE
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#
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# NORMAL EXIT MODE: RVQ
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# NORMAL EXIT MODE: RVQ
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# IF ELLIPSE, WITHIN NORMAL SCALING, RAPO IS CORRECT.
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# IF ELLIPSE, WITHIN NORMAL SCALING, RAPO IS CORRECT.
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# OTHERWISE, RAPO = POSMAX.
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# OTHERWISE, RAPO = POSMAX.
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#
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# ALARMS: NONE
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# ALARMS: NONE
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#
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# OUTPUT: STORED IN PUSH LIST AREA. SCALE OF OUTPUT AGREES WITH DATA SUPPLIED TO TFF/CONIC.
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# OUTPUT: STORED IN PUSH LIST AREA. SCALE OF OUTPUT AGREES WITH DATA SUPPLIED TO TFF/CONIC.
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# RPER E:(-29) M:(-27) M PERIGEE RADIUS DESTROYED BY CALCTFF/CALCTPER, TFFTRIG.
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# RPER E:(-29) M:(-27) M PERIGEE RADIUS DESTROYED BY CALCTFF/CALCTPER, TFFTRIG.
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# RAPO E:(-29) M:(-27) M APOGEE RADIUS WILL BE DESTROYED BY CALCTFF/CALCTPER
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# RAPO E:(-29) M:(-27) M APOGEE RADIUS WILL BE DESTROYED BY CALCTFF/CALCTPER
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# PUSHLOC AT PDL+0
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# PUSHLOC AT PDL+0
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#
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# ERASABLE INITIALIZATION REQUIRED:
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# ERASABLE INITIALIZATION REQUIRED:
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# TFFALFA E:(26-NR) M 1/SEMI MAJ AXIS LEFT BY TFFCONIC
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# TFFALFA E:(26-NR) M 1/SEMI MAJ AXIS LEFT BY TFFCONIC
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# M:(24-NR)
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# M:(24-NR)
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# TFFNP E:(-38+2NR) M LC P, SEMI LATUS RECTUM LEFT BY TFFCONIC
|
# TFFNP E: (-38+2NR) M LC P, SEMI LATUS RECTUM LEFT BY TFFCONIC
|
||||||
# M:(-36+2NR)
|
# M: (-36+2NR)
|
||||||
# X1 -NR, NORM COUNT OF RMAG LEFT BY TFFCONIC
|
# X1 -NR, NORM COUNT OF RMAG LEFT BY TFFCONIC
|
||||||
# X2 -NA, NORM COUNT OF ALFA LEFT BY TFFCONIC
|
# X2 -NA, NORM COUNT OF ALFA LEFT BY TFFCONIC
|
||||||
#
|
|
||||||
# DEBRIS: QPRET, PDL+0 ... PDL+1
|
# DEBRIS: QPRET, PDL+0 ... PDL+1
|
||||||
|
|
||||||
# Page 1379
|
# Page 1379
|
||||||
@ -288,7 +270,7 @@ TFFRP/RA DLOAD DMP
|
|||||||
TFF1/ALF # E:(-22-2NA) M:(-20-2NA)
|
TFF1/ALF # E:(-22-2NA) M:(-20-2NA)
|
||||||
TCDANZIG # CLEAR OVFIND, IF ON.
|
TCDANZIG # CLEAR OVFIND, IF ON.
|
||||||
BZE SL*
|
BZE SL*
|
||||||
MAXRA # SET POSMAX IF ALFA=0
|
MAXRA # SET POSMAX, IF ALFA=0
|
||||||
0 -5,2 # -5+NA
|
0 -5,2 # -5+NA
|
||||||
SL* BOV
|
SL* BOV
|
||||||
0,2
|
0,2
|
||||||
@ -299,6 +281,7 @@ MAXRA DLOAD # RAPO CALC IS NOT VALID. SET RAPO =
|
|||||||
NEARONE # POSMAX AS A TAG.
|
NEARONE # POSMAX AS A TAG.
|
||||||
+3 STORE RAPO # APOGEE RADIUS M E:(-29) M:(-27)
|
+3 STORE RAPO # APOGEE RADIUS M E:(-29) M:(-27)
|
||||||
DUMPRPRA RVQ
|
DUMPRPRA RVQ
|
||||||
|
|
||||||
# 30 W
|
# 30 W
|
||||||
# Page 1380
|
# Page 1380
|
||||||
# SUBROUTINE NAME: CALCTPER / CALCTFF DATE: 01.29.67
|
# SUBROUTINE NAME: CALCTPER / CALCTFF DATE: 01.29.67
|
||||||
@ -309,67 +292,68 @@ DUMPRPRA RVQ
|
|||||||
# MOD BY: 3 MOD BY: RR BAIRNSFATHER DATE: 8 JUL 67 NEAR EARTH MUE AND NEG TFF (GONEPAST)
|
# MOD BY: 3 MOD BY: RR BAIRNSFATHER DATE: 8 JUL 67 NEAR EARTH MUE AND NEG TFF (GONEPAST)
|
||||||
# MOD BY: 4 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD VARIABLE MU.
|
# MOD BY: 4 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD VARIABLE MU.
|
||||||
# MOD BY: 5 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
|
# MOD BY: 5 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
|
||||||
#
|
|
||||||
# FUNCTIONAL DESCRIPTION: PROGRAM CALCULATES THE FREE-FALL TIME OF FLIGHT FROM PRESENT POSITION RN AND
|
# FUNCTIONAL DESCRIPTION: PROGRAM CALCULATES THE FREE-FALL TIME OF FLIGHT FROM PRESENT POSITION RN AND
|
||||||
# VELOCITY VN TO A RADIUS LENGTH SPECIFIED BY RTERM, SUPPLIED BY THE USER. THE POSITION VECTOR
|
# VELOCITY VN TO A RADIUS LENGTH SPECIFIED BY RTERM , SUPPLIED BY THE USER. THE POSITION VECTOR
|
||||||
# RN MAY BE ON EITHER SIDE OF THE CONIC, BUT RTERM IS CONSIDERED ON THE INBOUND SIDE.
|
# RN MAY BE ON EITHER SIDE OF THE CONIC, BUT RTERM IS CONSIDERED ON THE INBOUND SIDE.
|
||||||
# THE EQUATIONS ARE:
|
# THE EQUATIONS ARE
|
||||||
#
|
|
||||||
# Q2 = -SQRT(RTERM (2-RTERM ALFA) - LCP) (INBOUND SIDE) LEQ +- LCE/SQRT(ALFA)
|
# Q2 = -SQRT(RTERM (2-RTERM ALFA) - LCP) (INBOUND SIDE)) LEQ +- LCE/SQRT(ALFA)
|
||||||
# __ __
|
# - -
|
||||||
# Q1 = RN.VN / SQRT(MU) LEQ +- LCE/SQRT(ALFA)
|
# Q1 = RN.VN / SQRT(MU) LEQ +- LCE/SQRT(ALFA)
|
||||||
#
|
|
||||||
# Z = NUM / DEN LEQ +- 1/SQRT(ALFA)
|
# Z = NUM / DEN LEQ +- 1/SQRT(ALFA)
|
||||||
#
|
|
||||||
# WHERE, IF INBOUND
|
# WHERE, IF INBOUND
|
||||||
# NUM = RTERM -RN LEQ +- 2 LCE/ALFA
|
# NUM = RTERM -RN LEQ +- 2 LCE/ALFA
|
||||||
# DEN = Q2+Q1 LEQ +- 2 LCE/SQRT(ALFA)
|
# DEN = Q2+Q1 LEQ +- 2 LCE/SQRT(ALFA)
|
||||||
#
|
|
||||||
# AND, IF OUTBOUND
|
# AND, IF OUTBOUND
|
||||||
# NUM = Q2-Q1 LEQ +- 2 LCE/SQRT(ALFA)
|
# NUM = Q2-Q1 LEQ +- 2 LCE/SQRT(ALFA)
|
||||||
# DEN = 2 - ALFA (RTERM + RN). LEQ +- 2 LCE
|
# DEN = 2 - ALFA (RTERM + RN) . LEQ +- 2 LCE
|
||||||
#
|
|
||||||
# IF ALFA ZZ < 1.0 (FOR ALL CONICS EXCEPT ELLIPSES HAVING ABS(DEL ECC ANOM) G 90 DEG)
|
# IF ALFA ZZ < 1.0 (FOR ALL CONICS EXCEPT ELLIPSES HAVING ABS(DEL ECC ANOM) G 90 DEG)
|
||||||
|
|
||||||
# THEN X = ALFA Z Z
|
# THEN X = ALFA Z Z
|
||||||
# AND TFF = (RTERM +RN -2 ZZ T(X) ) Z/SQRT(MU)
|
# AND TFF = (RTERM +RN -2 ZZ T(X) ) Z/SQRT(MU)
|
||||||
|
|
||||||
# EXCEPT IF ALFA PNZ, AND IF TFF NEG,
|
# EXCEPT IF ALFA PNZ, AND IF TFF NEG,
|
||||||
# THEN TFF = 2 PI /(ALFA SQRT(ALFA)) + TFF
|
# THEN TFF = 2 PI /(ALFA SQRT(ALFA)) + TFF
|
||||||
|
|
||||||
# OR IF ALFA ZZ GEQ 1.0 (FOR ELLIPSES HAVING ABS(DEL ECC ANOM) GEQ 90 DEG)
|
# OR IF ALFA ZZ GEQ 1.0 (FOR ELLIPSES HAVING ABS(DEL ECC ANOM) GEQ 90 DEG)
|
||||||
|
|
||||||
# THEN X = 1/ALFA Z Z
|
# THEN X = 1/ALFA Z Z
|
||||||
# AND TFF = (PI/SQRT(ALFA) -Q2 +Q1 +2(X T(X) -1) /ALFA Z) /ALFA SQRT(MU)
|
# AND TFF = (PI/SQRT(ALFA) -Q2 +Q1 +2(X T(X) -1) /ALFA Z) /ALFA SQRT(MU)
|
||||||
|
|
||||||
# WHERE T(X) IS A POLYNOMIAL APPROXIMATION TO THE SERIES
|
# WHERE T(X) IS A POLYNOMIAL APPROXIMATION TO THE SERIES
|
||||||
# 2 3 2
|
# 2 3 2
|
||||||
# 1/3 - X/5 + X /7 - X /8 ... (X < 1.0)
|
# 1/3 -X/5 +X /7 -X /9... (X < 1.0)
|
||||||
#
|
|
||||||
# CALLING SEQUENCE: TIME TO RTERM TIME TO PERIGEE
|
# CALLING SEQUENCE: TIME TO RTERM TIME TO PERIGEE
|
||||||
# CALL CALL
|
# CALL CALL
|
||||||
# CALCTFF CALCTPER
|
# CALCTFF CALCTPER
|
||||||
# C(MPAC) = TERMNL RAD M C(MPAC) = PERIGEE RAD M
|
# C(MPAC) = TERMNL RAD M C(MPAC) = PERIGEE RAD M
|
||||||
# FOR EITHER, E:(-29) M:(-27)
|
# FOR EITHER, E: (-29) M: (-27)
|
||||||
# FOR EITHER, PUSHLOC = PDL+0, ARBITRARY IF LEQ 8D.
|
# FOR EITHER, PUSHLOC = PDL+0 , ARBITRARY IF LEQ 8D.
|
||||||
# Page 1381
|
# Page 1381
|
||||||
#
|
#
|
||||||
# SUBROUTINES CALLED: T(X), VIA RTB
|
# SUBROUTINES CALLED: T(X), VIA RTB
|
||||||
#
|
|
||||||
# NORMAL EXIT MODE: RVQ
|
# NORMAL EXIT MODE: RVQ
|
||||||
# HOWEVER, PROGRAM EXITS WITH ONE OF THE FOLLOWING VALUES FOR TFF (-28) CS IN MPAC. USER MUST STORE.
|
# HOWEVER, PROGRAM EXITS WITH ONE OF THE FOLLOWING VALUES FOR TFF (-28) CS IN MPAC. USER MUST STORE.
|
||||||
# A. TFF = FLIGHT TIME. NORMAL CASE FOR POSITIVE FLIGHT TIME LESS THAN ONE ORBITAL PERIOD.
|
# A. TFF = FLIGHT TIME. NORMAL CASE FOR POSITIVE FLIGHT TIME LESS THAN ONE ORBITAL PERIOD.
|
||||||
# B. (THIS OPTION IS NO LONGER USED.)
|
# B. (THIS OPTION IS NO LONGER USED.)
|
||||||
# C. TFF = POSMAX. THIS INDICATES THAT THE CONIC FROM THE PRESENT POSITION WILL NOT RETURN TO
|
# C. TFF = POSMAX. THIS INDICATES THAT THE CONIC FROM THE PRESENT POSITION WILL NOT RETURN TO
|
||||||
# THE SPECIFIED ALTITUDE. ALSO INDICATES OUTBOUND PARABOLA OR HYPERBOLA.
|
# THE SPECIFIED ALTITUDE. ALSO INDICATES OUTBOUND PARABOLA OR HYPERBOLA.
|
||||||
#
|
|
||||||
# OUTPUT: C(MPAC) (-28) CS TIME OF FLIGHT, OR TIME TO PERIGEE
|
# OUTPUT: C(MPAC) (-28) CS TIME OF FLIGHT, OR TIME TO PERIGEE
|
||||||
# TFFX (0) X, LEFT FOR ENTRY DISPLAY TFF ROUTINES
|
# TFFX (0) X, LEFT FOR ENTRY DISPLAY TFF ROUTINES
|
||||||
# NRTERM E:(-29+NR) M RTERM, WEIGHTED BY NR LEFT FOR ENTRY DISPLAY TFF ROUTINES
|
# NRTERM E: (-29+NR) M RTERM, WEIGHTED BY NR LEFT FOR ENTRY DISPLAY TFF ROUTINES
|
||||||
# M:(-27+NR)
|
# M: (-27+NR)
|
||||||
# TFFTEM E:(-59+2NR) LCP Z Z SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
|
# TFFTEM E: (-59+2NR) LCP Z Z SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
|
||||||
# M:(-55+2NR) LCP /ALFA SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
|
# M: (-55+2NR) LCP /ALFA SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
|
||||||
# NOTE: TFFTEM = PDL 36D AND WILL BE DESTROYED BY .:UNIT:.
|
# NOTE: TFFTEM = PDL 36D AND WILL BE DESTROYED BY .:UNIT:.
|
||||||
# RMAG1 E:(-29) M:(-27) PDL 12 NOT TOUCHED.
|
# RMAG1 E:(-29) M:(-27) PDL 12 NOT TOUCHED.
|
||||||
# TFFQ1 E:(-16) M:(-15) PDL 14D
|
# TFFQ1 E:(-16) M:(-15) PDL 14D
|
||||||
# TFFDELQ E:(-16) M:(-15) PDL 10D
|
# TFFDELQ E:(-16) M:(-15) PDL 10D
|
||||||
# PUSHLOC AT PDL+0
|
# PUSHLOC AT PDL+0
|
||||||
#
|
|
||||||
# ERASABLE INITIALIZATION REQUIRED:
|
# ERASABLE INITIALIZATION REQUIRED:
|
||||||
# RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY USER
|
# RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY USER
|
||||||
# VONE' E:(+10) M:(+9) VN/SQRT(NU) LEFT BY TFF/CONIC
|
# VONE' E:(+10) M:(+9) VN/SQRT(NU) LEFT BY TFF/CONIC
|
||||||
@ -378,23 +362,22 @@ DUMPRPRA RVQ
|
|||||||
#
|
#
|
||||||
# THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
|
# THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
|
||||||
# TFF/RTMU E:(17) M:(14) 1/SQRT(MU) LEFT BY TFFCONIC.
|
# TFF/RTMU E:(17) M:(14) 1/SQRT(MU) LEFT BY TFFCONIC.
|
||||||
# NRMAG E:(-29+NR) M RMAG, NORMALIZED LEFT BY TFFCONIC
|
# NRMAG E: (-29+NR) M RMAG, NORMALIZED LEFT BY TFFCONIC
|
||||||
# M:(-27+NR)
|
# M: (-27+NR)
|
||||||
# X1 -NR, NORM COUNT LEFT BY TFFCONIC
|
# X1 -NR, NORM COUNT LEFT BY TFFCONIC
|
||||||
# TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHT NR LEFT BY TFFCONIC
|
# TFFNP E: (-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHT NR LEFT BY TFFCONIC
|
||||||
# M:(-36+2N4)
|
# M: (-36+2NR)
|
||||||
# TFFALFA E:(26-NR) 1/M ALFA, WEIGHT NR LEFT BY TFFCONIC
|
# TFFALFA E: (26-NR) 1/M ALFA, WEIGHT NR LEFT BY TFFCONIC
|
||||||
# M:(24-NR)
|
# M: (24-NR)
|
||||||
# TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED LEFT BY TFFCONIC
|
# TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED LEFT BY TFFCONIC
|
||||||
# M:(9+NA)
|
# M:(9+NA)
|
||||||
# X2 -NA, NORM COUNT LEFT BY TFFCONIC
|
# X2 -NA, NORM COUNT LEFT BY TFFCONIC
|
||||||
# TFF1/ALF E:(-22-2NA) SIGNED SEMIMAJ AXIS, WEIGHTED BY NA LEFT BY TFFCONIC
|
# TFF1/ALF E:(-22-2NA) SIGNED SEMIMAJ AXIS, WEIGHTED BY NA LEFT BY TFFCONIC
|
||||||
# M:(-20-2NA)
|
# M:(-20-2NA)
|
||||||
#
|
|
||||||
# DEBRIS: QPRET, PDL+0 ... PDL+3
|
# DEBRIS: QPRET, PDL+0 ... PDL+3
|
||||||
# RTERM E:(-29) M(-27) RTERM, TERMINAL RADIUS LENGTH
|
# RTERM E:(-29) M:(-27) RTERM, TERMINAL RADIUS LENGTH
|
||||||
# RAPO E:(-29) M(-27) PDL 16D (=NRTERM)
|
# RAPO E:(-29) M:(-27) PDL 16D (=NRTERM)
|
||||||
# RPER E:(-29) M(-27) PDL 14D (=TFFQ1)
|
# RPER E:(-29) M:(-27) PDL 14D (=TFFQ1)
|
||||||
|
|
||||||
# Page 1382
|
# Page 1382
|
||||||
CALCTPER SETGO # ENTER WITH RPER IN MPAC
|
CALCTPER SETGO # ENTER WITH RPER IN MPAC
|
||||||
@ -402,54 +385,55 @@ CALCTPER SETGO # ENTER WITH RPER IN MPAC
|
|||||||
+3
|
+3
|
||||||
CALCTFF CLEAR # ENTER WITH RTERM IN MPAC
|
CALCTFF CLEAR # ENTER WITH RTERM IN MPAC
|
||||||
TFFSW
|
TFFSW
|
||||||
+3 STORE RTERM # E:(-29) M:(-27)
|
+3 STORE RTERM # E: (-29) M: (-27)
|
||||||
SL*
|
SL*
|
||||||
0,1 # X1=-NR
|
0,1 # X1=-NR
|
||||||
STORE NRTERM # RTERM E:(-29+NR) M:(-27+NR)
|
STORE NRTERM # RTERM E: (-29+NR) M: (-27+NR)
|
||||||
DMP BDSU
|
DMP BDSU
|
||||||
TFFALFA # ALFA E:(26-NR) M:(24-NR)
|
TFFALFA # ALFA E:(26-NR) M:(24-NR)
|
||||||
TFF1/4
|
TFF1/4
|
||||||
PUSH DMP # (2-ALFA RTERM) (-3) TO PDL+0
|
PUSH DMP # (2-ALFA RTERM) (-3) TO PDL+0
|
||||||
NRTERM # E:(-29+NR) M:(-27+NR)
|
NRTERM # E: (-29+NR) M: (-27+NR)
|
||||||
PDDL SR* # RTERM(2-ALFA RTERM) TO PDL+2
|
PDDL SR* # RTERM(2-ALFA RTERM) TO PDL+2
|
||||||
# E:(-32+NR) M:(-30+NR)
|
# E: (-32+NR) M: (-30+NR)
|
||||||
TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
|
TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
|
||||||
0 -6,1 # X1 = -NR
|
0 -6,1 # X1 = -NR
|
||||||
DCOMP DAD # DUE TO SHIFTS, KEEP PRECISION FOR SQRT
|
DCOMP DAD # DUE TO SHIFTS, KEEP PRECISION FOR SQRT
|
||||||
# RTERM(2-ALFA RTERM) FROM PDL +2
|
# RTERM(2-ALFA RTERM) FROM PDL+2
|
||||||
# E:(-32+NR) M:(-30+NR)
|
# E: (-32+NR) M: (-30+NR)
|
||||||
SR* # LEAVE E:(-32) M:(-30)
|
SR* # LEAVE E: (-32) M: (-30)
|
||||||
0,1 # X1 = -NR
|
0,1 # X1 = -NR
|
||||||
BOFF DLOAD # CHECK TFF /TPER SWITCH
|
BOFF DLOAD # CHECK TFF / TPER SWITCH
|
||||||
TFFSW
|
TFFSW
|
||||||
+2 # IF TFF, CONTINUE
|
+2 # IF TFF, CONTINUE
|
||||||
TFFZEROS # IF TPER, SET Q2 = 0
|
TFFZEROS # IF TPER, SET Q2 = 0
|
||||||
+2 BMN SQRT # E:(-16) M:(-15)
|
+2 BMN SQRT # E: (-16) M: (-15)
|
||||||
|
|
||||||
MAXTFF1 # NO FREE FALL CONIC TO RTERM FROM HERE
|
MAXTFF1 # NO FREE FALL CONIC TO RTERM FROM HERE
|
||||||
# RESET PDL, SET TFF=POSMAX, AND EXIT.
|
# RESET PDL, SET TFF=POSMAX, AND EXIT.
|
||||||
|
|
||||||
DCOMP BOVB # RT IS ON INBOUND SIDE. ASSURE OVFIND=0
|
DCOMP BOVB # RT IS ON INBOUND SIDE. ASSURE OVFIND=0
|
||||||
TCDANZIG # ANY PORT IN A STORM.
|
TCDANZIG # ANY PORT IN A STORM.
|
||||||
STOVL TFFTEM # Q2 E:(-16) M:(-15)
|
STOVL TFFTEM # Q2 E: (-16) M: (-15)
|
||||||
VONE' # VN/SQRT(MU) E:(10) M:(9)
|
VONE' # VN/SQRT(MU) E: (10) M: (9)
|
||||||
DOT SL3
|
DOT SL3
|
||||||
RONE # SAVED RN. E:(-29) M:(-27)
|
RONE # SAVED RN. E: (-29) M: (-27)
|
||||||
STORE TFFQ1 # Q1, SAVE FOR GONEPAST TEST.
|
STORE TFFQ1 # Q1, SAVE FOR GONEPAST TEST.
|
||||||
# E:(-16) M:(-15)
|
# E: (-16) M: (-15)
|
||||||
BMN BDSU
|
BMN BDSU
|
||||||
INBOUND # USE ALTERNATE Z
|
INBOUND # USE ALTERNATE Z
|
||||||
TFFTEM # Q2 E:(-16) M:(-15)
|
TFFTEM # Q2 E: (-16) M: (-15)
|
||||||
|
|
||||||
# OUTBOUND Z CALC CONTINUES HERE
|
# OUTBOUND Z CALC CONTINUES HERE
|
||||||
|
|
||||||
STODL TFFX # NUM=Q2-Q1 E:(-16) M:(-15)
|
STODL TFFX # NUM=Q2-Q1 E: (-16) M: (-15)
|
||||||
TFFALFA # ALFA E:(26-NR) M:(24-NR)
|
TFFALFA # ALFA E: (26-NR) M: (24-NR)
|
||||||
DMP BDSU
|
DMP BDSU
|
||||||
# Page 1383
|
# Page 1383
|
||||||
NRMAG # RMAG E:(-29+NR) M:(-27+NR)
|
NRMAG # RMAG E: (-29+NR) M: (-27+NR)
|
||||||
# (2-RTERM ALFA) (-3) FROM PDL+0
|
# (2-RTERM ALFA) (-3) FROM PDL+0
|
||||||
SAVEDEN PUSH ABS # DEN TO PDL+0 E:(-3) OR (-16)
|
SAVEDEN PUSH ABS # DEN TO PDL+0 E: (-3) OR (-16)
|
||||||
# M:(-3) OR (-15)
|
# M: (-3) OR (-15)
|
||||||
DAD BOV # INDETERMINANCY TEST
|
DAD BOV # INDETERMINANCY TEST
|
||||||
LIM(-22) # =1.0-B(-22)
|
LIM(-22) # =1.0-B(-22)
|
||||||
TFFXTEST # GO IF DEN >/= B(-22)
|
TFFXTEST # GO IF DEN >/= B(-22)
|
||||||
@ -457,7 +441,7 @@ SAVEDEN PUSH ABS # DEN TO PDL+0 E:(-3) OR (-16)
|
|||||||
TFFZEROS
|
TFFZEROS
|
||||||
# XCH ZERO WITH PDL+0
|
# XCH ZERO WITH PDL+0
|
||||||
DLOAD DCOMP
|
DLOAD DCOMP
|
||||||
TFFALFA # ALFA E:(26-NR) M:(24-NR)
|
TFFALFA # ALFA E: (26-NR) M:( 24-NR)
|
||||||
BMN DLOAD # FOR TPER: Z INDET AT DELE/2=0 AND 90.
|
BMN DLOAD # FOR TPER: Z INDET AT DELE/2=0 AND 90.
|
||||||
TFFEL1 # ASSUME 90, AND LEAVE 0 IN PDL: 1/Z=D/N
|
TFFEL1 # ASSUME 90, AND LEAVE 0 IN PDL: 1/Z=D/N
|
||||||
|
|
||||||
@ -465,19 +449,18 @@ SAVEDEN PUSH ABS # DEN TO PDL+0 E:(-3) OR (-16)
|
|||||||
DUMPTFF1 RVQ # RETURN TFF =0
|
DUMPTFF1 RVQ # RETURN TFF =0
|
||||||
|
|
||||||
# INBOUND Z CALC CONTINUES HERE
|
# INBOUND Z CALC CONTINUES HERE
|
||||||
|
|
||||||
INBOUND DLOAD # RESET PDL+0
|
INBOUND DLOAD # RESET PDL+0
|
||||||
DLOAD DSU # ALTERNATE Z CALC
|
DLOAD DSU # ALTERNATE Z CALC
|
||||||
RTERM # E:(-29) M:(-27)
|
RTERM # E: (-29) M: (-27)
|
||||||
RMAG1 # E:(-29) M:(-27)
|
RMAG1 # E: (-29) M: (-27)
|
||||||
STODL TFFX # NUM=RTERM-RN E:(-29) M:(-27)
|
STODL TFFX # NUM=RTERM-RN E: (-29) M: (-27)
|
||||||
TFFTEM # Q2 E:(-16) M:(-15)
|
TFFTEM # Q2 E: (-16) M: (-15)
|
||||||
DAD GOTO
|
DAD GOTO
|
||||||
TFFQ1 # Q1 E:(-16) M:(-15)
|
TFFQ1 # Q1 E: (-16) M: (-15)
|
||||||
SAVEDEN # DEN = Q2+Q1 E:(-16) M:(-15)
|
SAVEDEN # DEN = Q2+Q1 E: (-16) M: (-15)
|
||||||
|
|
||||||
TFFXTEST DAD PDDL # (ABS(DEN) TO PDL+2) E:(-3) OR (-16)
|
TFFXTEST DAD PDDL # (ABS(DEN) TO PDL+2)) E: (-3) OR (-16)
|
||||||
# M:(-3) OR (-15)
|
# M: (-3) OR (-15)
|
||||||
DP(-22) # RESTORE ABS(DEN) TO MPAC
|
DP(-22) # RESTORE ABS(DEN) TO MPAC
|
||||||
TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
|
TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
|
||||||
DMP SR*
|
DMP SR*
|
||||||
@ -488,46 +471,46 @@ TFFXTEST DAD PDDL # (ABS(DEN) TO PDL+2) E:(-3) OR (-16)
|
|||||||
# ABS(DEN) FROM PDL+2 E:(-3) OR (-16)
|
# ABS(DEN) FROM PDL+2 E:(-3) OR (-16)
|
||||||
# M:(-3) OR (-15)
|
# M:(-3) OR (-15)
|
||||||
DLOAD BOV # (THE DLOAD IS SHARED WITH TFFELL)
|
DLOAD BOV # (THE DLOAD IS SHARED WITH TFFELL)
|
||||||
TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
|
TFFX # NUM E: (-16) OR (-29) M:(-15) OR (-27)
|
||||||
TFFELL # USE EQN FOR DELE GEQ 90, LEQ -90
|
TFFELL # USE EQN FOR DELE GEQ 90, LEQ -90
|
||||||
|
|
||||||
# OTHERWISE, CONTINUE FOR GENERAL CONIC FOR TFF EQN
|
# OTHERWISE, CONTINUE FOR GENERAL CONIC FOR TFF EQN
|
||||||
|
|
||||||
DDV STADR
|
DDV STADR
|
||||||
# DEN FROM PDL+0 E:(-3) OR (-16)
|
# DEN FROM PDL+0 E: (-3) OR (-16)
|
||||||
# M:(-3) OR (-15)
|
# M: (-3) OR (-15)
|
||||||
STORE TFFTEM # Z SAVE FOR SIGN OF SDELF.
|
STORE TFFTEM # Z SAVE FOR SIGN OF SDELF.
|
||||||
# Page 1384
|
# Page 1384
|
||||||
# E:(-13) M:(-12)
|
# E: (-13) M: (-12)
|
||||||
PUSH DSQ # Z TO PDL+0
|
PUSH DSQ # Z TO PDL+0
|
||||||
PUSH DMP # Z SQ TO PDL+2 E:(-26) M:(-24)
|
PUSH DMP # Z SQ TO PDL+2 E: (-26) M: (-24)
|
||||||
TFFNP # LC P E:(-38+2NR) M:(-36+NR)
|
TFFNP # LC P E: (-38+2NR) M: (-36+2NR)
|
||||||
SL SIGN
|
SL SIGN
|
||||||
5
|
5
|
||||||
TFFTEM # AFFIX SIGN FOR SDELF (ENTRY DISPLAY)
|
TFFTEM # AFFIX SIGN FOR SDELF (ENTRY DISPLAY)
|
||||||
STODL TFFTEM # P ZSQ E:(-59+2NR) M:(-55+2NR)
|
STODL TFFTEM # P ZSQ E: (-59+2NR) M: (-55+2NR)
|
||||||
# (ARG IS USED IN TFF/TRIG)
|
# (ARG IS USED IN TFF/TRIG)
|
||||||
# ZSQ FROM PDL+2 E:(-26) M:(-24)
|
# ZSQ FROM PDL+2 E: (-26) M: (-24)
|
||||||
PUSH DMP # RESTORE PUSH LOC
|
PUSH DMP # RESTORE PUSH LOC
|
||||||
TFFALFA # ALFA E:(26-NR) M:(24-NR)
|
TFFALFA # ALFA E: (26-NR) M: (24-NR)
|
||||||
SL*
|
SL*
|
||||||
0,1 # X1=-NR
|
0,1 # X1=-NR
|
||||||
STORE TFFX # X
|
STORE TFFX # X
|
||||||
RTB DMP
|
RTB DMP
|
||||||
T(X) # POLY
|
T(X) # POLY
|
||||||
# ZSQ FROM PDL+2 E:(-26) M:(-24)
|
# ZSQ FROM PDL+2 E: (-26) M: (-24)
|
||||||
SR2 BDSU # 2 ZSQ T(X) E:(-29) M:(-27)
|
SR2 BDSU # 2 ZSQ T(X) E: (-29) M: (-27)
|
||||||
RTERM # RTERM E:(-29) M:(-27)
|
RTERM # RTERM E: (-29) M: (-27)
|
||||||
DAD DMP
|
DAD DMP
|
||||||
RMAG1 # E:(-29) M:(-27)
|
RMAG1 # E: (-29) M: (-27)
|
||||||
# Z FROM PDL+0 E:(-13) M:(-12)
|
# Z FROM PDL+0 E: (-13) M: (-12)
|
||||||
SR3 BPL # TFF SQRT(MU) E:(-45) M:(-42)
|
SR3 BPL # TFF SQRT(MU) E: (-45) M: (-42)
|
||||||
ENDTFF # (NO PUSH UP)
|
ENDTFF # (NO PUSH UP)
|
||||||
PUSH SIGN # TFF SQRT(MU) TO PDL+0
|
PUSH SIGN # TFF SQRT(MU) TO PDL+0
|
||||||
TFFQ1 # Q1 FOR GONEPAST TEST
|
TFFQ1 # Q1 FOR GONEPAST TEST
|
||||||
BPL DLOAD # GONE PAST ?
|
BPL DLOAD # GONE PAST ?
|
||||||
NEGTFF # YES. TFF < 0.
|
NEGTFF # YES. TFF < 0 .
|
||||||
TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
|
TFF1/ALF # 1/ALFA E: (-22-2NA) M: (-20-2NA)
|
||||||
DCOMP BPL # ALFA > 0 ?
|
DCOMP BPL # ALFA > 0 ?
|
||||||
NEGTFF # NO. TFF IS NEGATIVE.
|
NEGTFF # NO. TFF IS NEGATIVE.
|
||||||
|
|
||||||
@ -536,7 +519,7 @@ TFFXTEST DAD PDDL # (ABS(DEN) TO PDL+2) E:(-3) OR (-16)
|
|||||||
DCOMP # YES. CORRECT FOR ORB PERIOD.
|
DCOMP # YES. CORRECT FOR ORB PERIOD.
|
||||||
DMP DDV
|
DMP DDV
|
||||||
PI/16 # 2 PI (-5)
|
PI/16 # 2 PI (-5)
|
||||||
TFFRTALF # SQRT(ALFA) E:(10+NA) M:(9+NA)
|
TFFRTALF # SQRT(ALFA) E: (10+NA) M: (9+NA)
|
||||||
SL* SL*
|
SL* SL*
|
||||||
0 -4,2 # X2=-NA
|
0 -4,2 # X2=-NA
|
||||||
0 -4,2
|
0 -4,2
|
||||||
@ -544,7 +527,7 @@ TFFXTEST DAD PDDL # (ABS(DEN) TO PDL+2) E:(-3) OR (-16)
|
|||||||
0,2
|
0,2
|
||||||
# TFF SQRT(MU) FROM PDL+0 E:(-45) M:(-42)
|
# TFF SQRT(MU) FROM PDL+0 E:(-45) M:(-42)
|
||||||
ENDTFF DMP BOV # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
|
ENDTFF DMP BOV # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
|
||||||
TFF/RTMU # E:(17) M:(14)
|
TFF/RTMU # E: (17) M: (14)
|
||||||
MAXTFF # SET POSMAX IN OVFL.
|
MAXTFF # SET POSMAX IN OVFL.
|
||||||
|
|
||||||
DUMPTFF2 RVQ # RETURN TFF (-28) CS IN MPAC.
|
DUMPTFF2 RVQ # RETURN TFF (-28) CS IN MPAC.
|
||||||
@ -561,24 +544,24 @@ MAXTFF DLOAD RVQ
|
|||||||
|
|
||||||
# TIME OF FLIGHT ELLIPSE WHEN DEL (ECCENTRIC ANOM) GEQ 90 AND LEQ -90.
|
# TIME OF FLIGHT ELLIPSE WHEN DEL (ECCENTRIC ANOM) GEQ 90 AND LEQ -90.
|
||||||
|
|
||||||
# NUM FROM TFFX. E:(-16) OR (-29)
|
# NUM FROM TFFX. E: (-16) OR (-29)
|
||||||
# M:(-15) OR (-27)
|
# M: (-15) OR (-27)
|
||||||
TFFELL SL2 # NUM E:(-14) OR (-27) M:(-13) OR (-25)
|
TFFELL SL2 # NUM E:(-14) OR (-27) M:(-13) OR (-25)
|
||||||
BDDV PUSH # TEMP SAVE D/N IN PDL+0
|
BDDV PUSH # TEMP SAVE D/N IN PDL+0
|
||||||
# DEN FROM PDL+0 E:(-3)/(-16) M:(-3)/(-15)
|
# DEN FROM PDL+0 E:(-3)/( 16) M:(-3)/(-15)
|
||||||
# N/D TO PDL+0 E:(11) M:(10)
|
# N/D TO PDL+0 E: (11) M: (10)
|
||||||
TFFEL1 DLOAD DSU # (ENTER WITH D/N=0 IN PDL+0)
|
TFFEL1 DLOAD DSU # (ENTER WITH D/N=0 IN PDL+0)
|
||||||
TFFTEM # Q2 E:(-16) M:(-15)
|
TFFTEM # Q2 E: (-16) M: (-15)
|
||||||
TFFQ1 # Q1 E:(-16) M:(-15)
|
TFFQ1 # Q1 E: (-16) M: (-15)
|
||||||
STODL TFFDELQ # Q2-Q1 E:(-16) M:(-15)
|
STODL TFFDELQ # Q2-Q1 E: (-16) M: (-15)
|
||||||
# D/N FROM PDL+0
|
# D/N FROM PDL+0
|
||||||
STADR
|
STADR
|
||||||
STORE TFFTEM # D/N E:(11) M:(10)
|
STORE TFFTEM # D/N E: (11) M: (10)
|
||||||
DMP SL*
|
DMP SL*
|
||||||
TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
|
TFF1/ALF # 1/ALFA E: (-22-2NA) M: (-20-2NA)
|
||||||
0,2 # 1/ALFA Z E:(-11-NA) M:(-10-NA)
|
0,2 # 1/ALFA Z E: (-11-NA) M: (-10-NA)
|
||||||
PUSH DMP # TO PDL+0
|
PUSH DMP # TO PDL+0
|
||||||
TFFTEM # 1/Z E:(11) M:(10)
|
TFFTEM # 1/Z E: (11) M: (10)
|
||||||
SL* BOVB
|
SL* BOVB
|
||||||
0,2 # X2= -NA
|
0,2 # X2= -NA
|
||||||
SIGNMPAC # IN CASE X= 1.0, CONTINUE
|
SIGNMPAC # IN CASE X= 1.0, CONTINUE
|
||||||
@ -593,12 +576,12 @@ TFFEL1 DLOAD DSU # (ENTER WITH D/N=0 IN PDL+0)
|
|||||||
# 1/ALFA Z FROM PDL+0 E:(-11-NA)
|
# 1/ALFA Z FROM PDL+0 E:(-11-NA)
|
||||||
# M:(-10-NA)
|
# M:(-10-NA)
|
||||||
DLOAD DMP # GET SIGN FOR SDELF
|
DLOAD DMP # GET SIGN FOR SDELF
|
||||||
TFFTEM # 1/Z E:(11) M:(10)
|
TFFTEM # 1/Z E: (11) M: (10)
|
||||||
RMAG1 # E:(-29) M:(-27)
|
RMAG1 # E: (-29) M: (-27)
|
||||||
SL2 DAD
|
SL2 DAD
|
||||||
TFFQ1 # Q1 E:(-16) M:(-15)
|
TFFQ1 # Q1 E: (-16) M: (-15)
|
||||||
STODL TFFTEM # (Q1+R 1/Z) =SGN OF SDELF E:(-16) M:(-15)
|
STODL TFFTEM # (Q1+R 1/Z) =SGN OF SDELF E:(-16) M:(-15
|
||||||
TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
|
TFFNP # LC P E: (-38+2NR) M: (-36+2NR)
|
||||||
DMP SL* # CALC FOR ARG FOR TFF/TRIG.
|
DMP SL* # CALC FOR ARG FOR TFF/TRIG.
|
||||||
# Page 1386
|
# Page 1386
|
||||||
TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
|
TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
|
||||||
@ -616,50 +599,42 @@ TFFEL1 DLOAD DSU # (ENTER WITH D/N=0 IN PDL+0)
|
|||||||
# M:(-14-NA)
|
# M:(-14-NA)
|
||||||
SL* DSU
|
SL* DSU
|
||||||
0 -1,2
|
0 -1,2
|
||||||
TFFDELQ # Q2-Q1 E:(-16) M:(-15)
|
TFFDELQ # Q2-Q1 E: (-16) M: (-15)
|
||||||
DMP SL*
|
DMP SL*
|
||||||
TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
|
TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
|
||||||
0 -3,2
|
0 -3,2
|
||||||
SL* GOTO
|
SL* GOTO
|
||||||
0 -4,2
|
0 -4,2
|
||||||
ENDTFF # TFF SQRT(MU) IN MPAC E:(-145) M:(-42)
|
ENDTFF # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
|
||||||
|
|
||||||
# Page 1387
|
# Page 1387
|
||||||
# PROGRAM NAME: T(X) DATE: 01.17.67
|
# PROGRAM NAME: T(X) DATE: 01.17.67
|
||||||
# MOD NO: 0 LOG SECTION: TIME OF FREE FALL
|
# MOD NO: 0 LOG SECTION: TIME OF FREE FALL
|
||||||
# MOD BY: RR BAIRNSFATHER
|
# MOD BY: RR BAIRNSFATHER
|
||||||
#
|
|
||||||
# FUNCTIONAL DESCRIPTION: THE POLYNOMIAL T(X) IS USED BY TIME OF FLIGHT SUBROUTINES CALCTFF AND
|
# FUNCTIONAL DESCRIPTION: THE POLYNOMIAL T(X) IS USED BY TIME OF FLIGHT SUBROUTINES CALCTFF AND
|
||||||
# CALCTPER TO APPROXIMATE THE SERIES
|
# CALCTPER TO APPROXIMATE THE SERIES
|
||||||
# 2 3
|
# 2 3
|
||||||
# 1/3 -X/5 +X /7 -X /9 ...
|
# 1/3 -X/5 +X /7 -X /9 ...
|
||||||
#
|
|
||||||
# WHERE X = ALFA Z Z IF ALFA Z Z LEQ 1
|
# WHERE X = ALFA Z Z IF ALFA Z Z LEQ 1
|
||||||
# X = 1/(ALFA Z Z) IF ALFA Z Z G 1
|
# X = 1/(ALFA Z Z ) IF ALFA Z Z G 1
|
||||||
#
|
|
||||||
# ALSO X IS NEG FOR HYPERBOLIC ORBITS
|
# ALSO X IS NEG FOR HYPERBOLIC ORBITS
|
||||||
# X = 0 FOR PARABOLIC ORBITS
|
# X = 0 FOR PARABOLIC ORBITS
|
||||||
# X IS POSITIVE FOR ELLIPTIC ORBITS
|
# X IS POSITIVE FOR ELLIPTIC ORBITS
|
||||||
#
|
|
||||||
# FOR FLIGHT 278, THE POLYNOMIAL T(X) IS FITTED OVER THE RANGE (0,+1) AND HAS A MAXIMUM
|
# FOR FLIGHT 278, THE POLYNOMIAL T(X) IS FITTED OVER THE RANGE (0,+1) AND HAS A MAXIMUM
|
||||||
# DEVIATION FROM THE SERIES OF 2 E-5. (T(X) IS A CHEBYCHEV TYPE FIT AND WAS OBTAINED USING
|
# DEVIATION FROM THE SERIES OF 2 E-5 (T(X) IS A CHEBYCHEV TYPE FIT AND WAS OBTAINED USING
|
||||||
# MAC PROGRAM AUTCURFIT294RRB AND IS VALID TO THE SAME TOLERANCE OVER THE RANGE (-.08,+1).)
|
# MAC PROGRAM AUTCURFIT294RRB AND IS VALID TO THE SAME TOLERANCE OVER THE RANGE (-.08,+1). )
|
||||||
#
|
|
||||||
# CALLING SEQUENCE: RTB
|
# CALLING SEQUENCE: RTB
|
||||||
# T(X)
|
# T(X)
|
||||||
# C(MPAC) = X
|
# C(MPAC) = X
|
||||||
#
|
|
||||||
# SUBROUTINE CALLED: NONE
|
# SUBROUTINE CALLED: NONE
|
||||||
#
|
|
||||||
# NORMAL EXIT MODE: TC DANZIG
|
# NORMAL EXIT MODE: TC DANZIG
|
||||||
#
|
|
||||||
# ALARMS: NONE
|
# ALARMS: NONE
|
||||||
#
|
|
||||||
# OUTPUT: C(MPAC) = T(X)
|
# OUTPUT: C(MPAC) = T(X)
|
||||||
#
|
|
||||||
# ERASABLE INITIALIZATION REQUIRED:
|
# ERASABLE INITIALIZATION REQUIRED:
|
||||||
# C(MPAC) = X
|
# C(MPAC) = X
|
||||||
#
|
|
||||||
# DEBRIS: NONE
|
# DEBRIS: NONE
|
||||||
|
|
||||||
T(X) TC POLY
|
T(X) TC POLY
|
||||||
@ -677,20 +652,22 @@ TCDANZIG = ENDT(X)
|
|||||||
|
|
||||||
# Page 1388
|
# Page 1388
|
||||||
# TFF CONSTANTS
|
# TFF CONSTANTS
|
||||||
|
|
||||||
BANK 32
|
BANK 32
|
||||||
|
|
||||||
SETLOC TOF-FF1
|
SETLOC TOF-FF1
|
||||||
BANK
|
BANK
|
||||||
|
|
||||||
# # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
|
# # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
|
||||||
#MUE = 3.990815471 E10 # M CUBE/CS SQ
|
|
||||||
|
#MUE = 3.990 815 471 E10 # M CUBE/CS SQ
|
||||||
#RTMUE = 1.997702549 E5 B-18* # MODIFIED EARTH MU
|
#RTMUE = 1.997702549 E5 B-18* # MODIFIED EARTH MU
|
||||||
|
|
||||||
1/RTMU 2DEC* .5005750271 E-5 B17* # MODIFIED EARTH MU
|
1/RTMU 2DEC* .5005750271 E-5 B17* # MODIFIED EARTH MU
|
||||||
|
|
||||||
# # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
|
# # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
|
||||||
#MUM = 4.902778 E8 # M CUBE/CS SQ
|
|
||||||
|
#MUM = 4.902 778 E8 # M CUBE /CS SQ
|
||||||
|
|
||||||
#RTMUM 2DEC* 2.21422176 E4 B-18*
|
#RTMUM 2DEC* 2.21422176 E4 B-18*
|
||||||
PI/16 2DEC 3.141592653 B-4
|
PI/16 2DEC 3.141592653 B-4
|
||||||
LIM(-22) 2OCT 3777737700 # 1.0 -B(-22)
|
LIM(-22) 2OCT 3777737700 # 1.0 -B(-22)
|
||||||
@ -698,13 +675,9 @@ DP(-22) 2OCT 0000000100 # B(-22)
|
|||||||
DP2(-3) 2DEC 1 B-3
|
DP2(-3) 2DEC 1 B-3
|
||||||
DP2(-4) 2DEC 1 B-4 # 1/16
|
DP2(-4) 2DEC 1 B-4 # 1/16
|
||||||
|
|
||||||
# RPAD1 2DEC 6373338 B-29 # M (-29) = 20909901.57 FT
|
# RPAD1 2DEC 6373338 B-29 # M (-29) =20 909 901.57 FT
|
||||||
RPAD1 = RPAD
|
RPAD1 = RPAD
|
||||||
|
|
||||||
R300K 2DEC 6464778 B-29 # (-29) M
|
R300K 2DEC 6464778 B-29 # (-29) M
|
||||||
NEARONE 2DEC .999999999
|
NEARONE 2DEC .999999999
|
||||||
TFFZEROS EQUALS HI6ZEROS
|
TFFZEROS EQUALS HI6ZEROS
|
||||||
TFF1/4 EQUALS HIDP1/4
|
TFF1/4 EQUALS HIDP1/4
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|||||||
Loading…
Reference in New Issue
Block a user