apollo_flight_orientation.agc

# Copyright:	Public domain.
# Filename:	INFLIGHT_ALIGNMENT_ROUTINES.agc
# Purpose: 	Part of the source code for Luminary 1A build 099.
#		It is part of the source code for the Lunar Module's (LM)
#		Apollo Guidance Computer (AGC), for Apollo 11.
# Assembler:	yaYUL
# Contact:	Ron Burkey <info@sandroid.org>.
# Website:	www.ibiblio.org/apollo.
# Pages:	1249-1258
# Mod history:	2009-05-26 RSB	Adapted from the corresponding
#				Luminary131 file, using page
#				images from Luminary 1A.
#
# This source code has been transcribed or otherwise adapted from
# digitized images of a hardcopy from the MIT Museum.  The digitization
# was performed by Paul Fjeld, and arranged for by Deborah Douglas of
# the Museum.  Many thanks to both.  The images (with suitable reduction
# in storage size and consequent reduction in image quality as well) are
# available online at www.ibiblio.org/apollo.  If for some reason you
# find that the images are illegible, contact me at info@sandroid.org
# about getting access to the (much) higher-quality images which Paul
# actually created.
#
# Notations on the hardcopy document read, in part:
#
#	Assemble revision 001 of AGC program LMY99 by NASA 2021112-61
#	16:27 JULY 14, 1969

# Page 1249
		BANK	22
		SETLOC	INFLIGHT
		BANK

		EBANK=	XSM

# CALCGTA COMPUTES THE GYRO TORQUE ANGLES REQUIRED TO BRING THE STABLE MEMBER INTO THE DESIRED ORIENTATION.
#
# THE INPUT IS THE DESIRED STABLE MEMBER COORDINATES REFERRED TO PRESENT STABLE MEMBER COORDINATES.  THE THREE
# HALF-UNIT VECTORS ARE STORED AT XDC, YDC, AND ZDC.
#
# THE OUTPUTS ARE THE THREE GYRO TORQUE ANGLES TO BE APPLIED TO THE Y, Z, AND X GYROS AND ARE STORED DP AT IGC,
# MGC, AND OGC RESPECTIVELY.

		COUNT*	$$/INFLT
CALCGTA		ITA	DLOAD		# PUSHDOWN 00-03, 16D-27D, 34D-37D
			S2		# XDC = (XD1 XD2 XD3)
			XDC		# YDC = (YD1 YD2 YD3)
		PDDL	PDDL		# ZDC = (ZD1 ZD2 ZD3)
			HI6ZEROS
			XDC 	+4
		DCOMP	VDEF
		UNIT
		STODL	ZPRIME		# ZP = UNIT(-XD3 0 XD1) = (ZP1 ZP2 ZP3)
			ZPRIME

		SR1
		STODL	SINTH		# SIN(IGC) = ZP1
			ZPRIME 	+4
		SR1
		STCALL	COSTH		# COS(IGC) = ZP3
			ARCTRIG

		STODL	IGC		# Y GYRO TORQUING ANGLE   FRACTION OF REV.
			XDC 	+2
		SR1
		STODL	SINTH		# SIN(MGC) = XD2
			ZPRIME

		DMP	PDDL
			XDC 	+4	# PD00 = (ZP1)(XD3)
			ZPRIME 	+4

		DMP	DSU
			XDC		# MPAC = (ZP3)(XD1)
		STADR
		STCALL	COSTH		# COS(MGC) = MPAC - PD00
			ARCTRIG
# Page 1250
		STOVL	MGC		# Z GYRO TORQUING ANGLE   FRACTION OF REV.
			ZPRIME
		DOT
			ZDC
		STOVL	COSTH		# COS(OGC) = ZP . ZDC
			ZPRIME
		DOT
			YDC
		STCALL	SINTH		# SIN(OGC) = ZP . YDC
			ARCTRIG

		STCALL	OGC		# X GYRO TORQUING ANGLE   FRACTION OF REV.
			S2

# Page 1251
# ARCTRIG COMPUTES AN ANGLE GIVEN THE SINE AND COSINE OF THIS ANGLE.
#
# THE INPUTS ARE SIN/4 AND COS/4 STORED UP AT SINTH AND COSTH.
#
# THE OUTPUT IS THE CALCULATED ANGLE BETWEEN +.5 AND -.5 REVOLUTIONS AND STORED AT THETA.  THE OUTPUT IS ALSO
# AVAILABLE AT MPAC.

ARCTRIG		DLOAD	ABS		# PUSHDOWN  16D-21D
			SINTH
		DSU	BMN
			QTSN45		# ABS(SIN/4) - SIN(45)/4
			TRIG1		# IF (-45,45) OR (135,-135)

		DLOAD	SL1		# (45,135) OR (-135,-45)
			COSTH
		ACOS	SIGN
			SINTH
		STORE	THETA		# X = ARCCOS(COS) WITH SIGN(SIN)
		RVQ

TRIG1		DLOAD	SL1		# (-45,45) OR (135,-135)
			SINTH
		ASIN
		STODL	THETA		# X = ARCSIN(SIN) WITH SIGN(SIN)
			COSTH
		BMN
			TRIG2		# IF (135,-135)

		DLOAD	RVQ
			THETA		# X = ARCSIN(SIN)   (-45,45)

TRIG2		DLOAD	SIGN		# (135,-135)
			HIDPHALF
			SINTH
		DSU
			THETA
		STORE	THETA		# X = .5 WITH SIGN(SIN) - ARCSIN(SIN)
		RVQ			#	(+) - (+) OR (-) - (-)

# Page 1252
# SMNB, NBSM, AND AXISROT, WHICH USED TO APPEAR HERE, HAVE BEEN
# COMBINED IN A ROUTINE CALLED AX*SR*T, WHICH APPEARS AMONG THE POWERED
# FLIGHT SUBROUTINES.

# Page 1253
# CALCGA COMPUTES THE CDU DRIVING ANGLES REQUIRED TO BRING THE STABLE MEMBER INTO THE DESIRED ORIENTATION.
#
# THE INPUTS ARE  1) THE NAVIGATION BASE COORDINATES REFERRED TO ANY COORDINATE SYSTEM.  THE THREE HALF-UNIT
# VECTORS ARE STORED AT XNB, YNB, AND ZNB.  2) THE DESIRED STABLE MEMBER COORDINATES REFERRED TO THE SAME
# COORDINATE SYSTEM ARE STORED AT XSM, YSM, AND ZSM.
#
# THE OUTPUTS ARE THE THREE CDU DRIVING ANGLES AND ARE STORED SP AT THETAD, THETAD +1, AND THETAD +2.

CALCGA		SETPD			# PUSHDOWN 00-05, 16D-21D, 34D-37D
			0
		VLOAD	VXV
			XNB		# XNB = OGA (OUTER GIMBAL AXIS)
			YSM		# YSM = IGA (INNER GIMBAL AXIS)
		UNIT	PUSH		# PD0 = UNIT(OGA X IGA) = MGA

		DOT	ITA
			ZNB
			S2
		STOVL	COSTH		# COS(OG) = MGA . ZNB
			0
		DOT
			YNB
		STCALL	SINTH		# SIN(OG) = MGA . YNB
			ARCTRIG
		STOVL	OGC
			0

		VXV	DOT		# PROVISION FOR MG ANGLE OF 90 DEGREES
			XNB
			YSM
		SL1
		STOVL	COSTH		# COS(MG) = IGA . (MGA X OGA)
			YSM
		DOT
			XNB
		STCALL	SINTH		# SIN(MG) = IGA . OGA
			ARCTRIG
		STORE	MGC

		ABS	DSU
			.166...
		BPL
			GIMLOCK1	# IF ANGLE GREATER THAN 60 DEGREES

CALCGA1		VLOAD	DOT
			ZSM
			0
		STOVL	COSTH		# COS(IG) = ZSM . MGA
			XSM
# Page 1254
		DOT	STADR
		STCALL	SINTH		# SIN(IG) = XSM . MGA
			ARCTRIG

		STOVL	IGC
			OGC
		RTB
			V1STO2S
		STCALL	THETAD
			S2

GIMLOCK1	EXIT
		TC	ALARM
		OCT	00401
		TC	UPFLAG		# GIMBAL LOCK HAS OCCURRED
		ADRES	GLOKFAIL

		TC	INTPRET
		GOTO
			CALCGA1

# Page 1255
# AXISGEN COMPUTES THE COORDINATES OF ONE COORDINATE SYSTEM REFERRED TO ANOTHER COORDINATE SYSTEM.
#
# THE INPUTS ARE  1) THE STAR1 VECTOR REFERRED TO COORDINATE SYSTEM A STORED AT STARAD.  2) THE STAR2 VECTOR
# REFERRED TO COORDINATE SYSTEM A STORED AT STARAD +6.  3) THE STAR1 VECTOR REFERRED TO COORDINATE SYSTEM B STORED
# AT LOCATION 6 OF THE VAC AREA.  4) THE STAR2 VECTOR REFERRED TO COORDINATE SYSTEM B STORED AT LOCATION 12D OF
# THE VAC AREA.
#
# THE OUTPUT DEFINES COORDINATE SYSTEM A REFERRED TO COORDINATE SYSTEM B.  THE THREE HALF-UNIT VECTORS ARE STORED
# AT LOCATIONS XDC, XDC +6, XDC +12D, AND STARAD, STARAD +6, STARAD +12D.

AXISGEN		AXT,1	SSP		# PUSHDOWN 00-30D, 34D-37D
			STARAD 	+6
			S1
			STARAD 	-6

		SETPD
			0
AXISGEN1	VLOAD*	VXV*		# 06D	UA = S1
			STARAD 	+12D,1	#	STARAD +00D	UB = S1
			STARAD 	+18D,1
		UNIT			# 12D	VA = UNIT(S1 X S2)
		STORE	STARAD 	+18D,1	#	STARAD +06D	VB = UNIT(S1 X S2)
		VLOAD*
			STARAD 	+12D,1

		VXV*	VSL1
			STARAD 	+18D,1	# 18D	WA = UA X VA
		STORE	STARAD 	+24D,1	#	STARAD +12D	WB = UB X VB

		TIX,1
			AXISGEN1

		AXC,1	SXA,1
			6
			30D

		AXT,1	SSP
			18D
			S1
			6

		AXT,2	SSP
			6
			S2
			2

AXISGEN2	XCHX,1	VLOAD*
			30D		# X1=-6 X2=+6	X1=-6 X2=+4	X1=-6 X2=+2
			0,1

# Page 1256
		VXSC*	PDVL*		# J=(UA)(UB1)	J=(UA)(UB2)	J=(UA)(UB3)
			STARAD 	+6,2
			6,1
		VXSC*
			STARAD 	+12D,2
		STOVL*	24D		# K=(VA)(VB1)	J=(VA)(VB2)	J=(VA)(VB3)
			12D,1

		VXSC*	VAD
			STARAD 	+18D,2	# L=(WA)(WB1)	J=(WA)(WB2)	J=(WA)(WB3)
		VAD	VSL1
			24D
		XCHX,1	UNIT
			30D
		STORE	XDC 	+18D,1	# XDC = L+J+K	YDC = L+J+K	ZDC = L+J+K

		TIX,1
			AXISGEN3

AXISGEN3	TIX,2
			AXISGEN2

		VLOAD
			XDC
		STOVL	STARAD
			YDC
		STOVL	STARAD 	+6
			ZDC
		STORE	STARAD 	+12D

		RVQ

# Page 1257
QTSN45		2DEC	.1768

.166...		2DEC	.1666666667

# Page 1258 (empty page)