# Copyright:	Public domain.
# Filename:	LUNAR_AND_SOLAR_EPHEMERIDES_SUBROUTINES.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:	Hartmuth Gutsche <hgutsche@xplornet.com>.
# Website:	www.ibiblio.org/apollo.
# Pages:	984-987
# Mod history:	2009-05-24 HG	Transcribed from page images.
#
# 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 2021112-061
#	16:27 JULY 14, 1969

# Page 984
# NAME -- LSPOS -- LOCATE SUN AND MOON			DATE -- 25 OCT 67
# MOD NO. 1
# MOD BY NEVILLE					ASSEMBLY SUNDANCE
#
# FUNCTIONAL DESCRIPTION
#
# COMPUTES UNIT POSITION VECTOR OF THE SUN AND MOON IN THE BASIC REFERENCE SYSTEM.  THE SUN VECTOR S IS
# LOCATED VIA TWO ANGLES.  THE FIRST ANGLE (OBLIQUITY) IS THE ANGLE BETWEEN THE EARTH EQUATOR AND THE ECLIPTIC.  THE
# POSITION VECTOR OF THE SUN IS
#	_
#	S = (COS(LOS), COS(OBL)*SIN(LOS), SIN(OBL)*SIN(LOS)), WHERE
#
#	LOS = LOS +LOS *T-(C *SIN(2PI*T)/365.24 +C *COS(2PI*T)/365.24)
#	         0    R     0                     1
#	LOS  (RAD) IS THE LONGITUDE OF THE SUN FOR MIGNIGHT JUNE 30TH OF THE PARTICULAR YEAR.
#          0
#	LOS  (RAD/DAY) IS THE MEAN RATE FOR THE PARTICULAR YEAR.
#    	   R
#
# LOS  AND LOS  ARE STORED AS LOSC AND LOSR IN RATESP.
#    0        R
# COS(OBL) AND SIN(OBL) ARE STORED IN THE MATRIX KONMAT.
#
# T, TIME MEASURED IN DAYS (24 HOURS) IS STORED IN TIMEP.
#
# C  AND C  ARE FUDGE FACTORS TO MINIMIZE THE DEVIATION.  THEY ARE STORED AS ONE CONSTANT (CMOD), SINCE
#  0      1                               2  2 1/2
# C *SIN(X)+C *COS(X) CAN BE WRITTEN AS (C +C )   *SIN(X+PHI), WHERE PHI=ARCTAN(C /C ).
#                                         0  1                                   1  0
#
# THE MOON IS LOCATED VIA FOUR ANGLES, THE FIRST IS THE OBLIQUITY. THE SECOND IS THE MEAN LONGITUDE OF THE MOON,
# MEASURED IN THE ECLIPTIC FROM THE MEAN EQUINOX TO THE MEAN ASCENDING NODE OF THE LUNAR ORBIT, AND THEN ALONG THE
# ORBIT.  THE THIRD ANGLE IS THE ANGLE BETWEEN THE ECLIPTIC AND THE LUNAR ORBIT.  THE FOURTH ANGLE IS THE LONGITUDE
# OF THE NODE OF THE MOON, MEASURED IN THE LUNAR ORBIT.  LET THESE ANGLES BE OBL,LOM,IM, AND LON RESPECTIVELY.
#
# THE SIMPLIFIED POSITION VECTOR OF THE MOON IS
#	_
#	M=(COS(LOM), COS(OBL)*SIN(LOM)-SIN(OBL)*SIN(IM)*SIN(LOM-LON), SIN(OBL)*SIN(LOM)+COS(OBL)*SIN(IM)*SIN(LOM-LON))
#
# WHERE
#	LOM=LOM +LOM *T-(A *SIN(2PI*T/27.5545)+A *COS(2PI*T/27.5545)+B *SIN(2PI*T/32)+B *COS(2PI*T/32)), AND
#	       0    R     0                     1                     0                     1
#	LON=LON +LON
#	       0    R
# A , A , B  AND B  ARE STORE AS AMOD AND BMOD (SEE DESCRIPTION OF CMOD, ABOVE).  COS(OBL), SIN(OBL)*SIN(IM),
#  0   1   0      1
# SIN(OBL), AND COS(OBL)*SIN(IM) ARE STORED IN KONMAT AS K1, K2, K3, AND K4, RESPECTIVELY.  LOM , LOM , LON , LON
#                                                                                              0     R     0     R
# ARE STORED AS LOM0, LOMR, LON0, AND LONR IN RATESP.
#
# THE THREE PHIS ARE STORED AS AARG, BARG, AND CARG(SUN).  ALL CONSTANTS ARE UPDATED BY YEAR.
#
# CALLING SEQUENCE
# Page 985
#	CALL LSPOS.  RETURN IS VIA CPRET.
#
# ALARMS OR ABORTS
#	NONE
#
# ERASABLE INITIALIZATION REQUIRED
#	TEPHEM -- TIME FROM MIGNIGHT 1 JULY PRECEDING THE LAUNCH TO THE TIME OF THE LAUNCH (WHEN THE AGC CLOCK WENT
#	TO ZERO).  TEPHEM IS TP WITH UNITS OF CENTI-SECONDS.
#
#	TIME2 AND TIME1 ARE IN MPAC AND MPAC +1 WHEN PROGRAM IS CALLED.
#
# OUTPUT
#	UNIT POSITIONAL VECTOR OF SUN IN VSUN.  (SCALED B-1)
#	UNIT POSITIONAL VECTOR OF MOON IN VMOON.  (SCALED B-1)
#
# SUBROUTINES USED
#	NONE
#
# DEBRIS
#	CURRENT CORE SET, WORK AREA AND FREEFLAG

		BANK	04
		SETLOC	EPHEM
		BANK

		EBANK=	VSUN
		COUNT*	$$/EPHEM
LUNPOS		EQUALS	LSPOS

LSPOS		SETPD	SR
			0
			14D		# TP
		TAD	DDV
# HG comments in [...] are hand written comments in original listing
			TEPHEM		# TIME OF LAUNCH [IN CENTISEC B 42]
			CSTODAY		# 24 HOURS -- 8640000 CENTI-SECS/DAY B-33
		STORE	TIMEP		# T IN DAYS [@ B 9 = 512 DAYS]
		AXT,1	AXT,2		#	    [GRANULRITY = 0.164 SEC]
			0
			0
		CLEAR
			FREEFLAG	# SWITCH BIT
POSITA		DLOAD
			KONMAT +2	# ZEROS
		STORE	GTMP
POSITB		DLOAD	DMP*
			TIMEP		# T
			VAL67 +4,1	# 1/27 OR 1/32 OR 1/365
# Page 986
		SL	DAD*
			8D
			VAL67 +2,1	# AARG
		SIN	DMP*		# SIN(T/27+PHI) OR T/32 OR T/365
			VAL67,1		# (A0**2+A1**2)**1/2 SIN(X+PHIA)
		DAD	INCR,1		# PLUS
			GTMP		# (B0**2+B1**2)**1/2 SIN(X+PHIB)
		DEC	-6
		STORE	GTMP		# OR (C0**2+C1**2)**1/2 SIN(X+PHIC)
		BOFSET
			FREEFLAG
			POSITB
POSITD		DLOAD	DMP*
			TIMEP		# T
			RATESP,2	# LOMR,LOSR,LONR
		SL	DAD*
			5D
			RATESP +6,2	# LOM0,LOS0,LON0
		DSU
			GTMP
		STORE	STMP,2		# LOM,LOS,LON
		SLOAD	INCR,2
			X2
		DEC	-2
		DAD	BZE
			RCB-13		# PLUS 2
			POSITE		# 2ND
		BPL
			POSITA		# 1ST
POSITF		DLOAD	DSU		# 3RD
			STMP		# LOM
			STMP +4		# LON
		SIN	PDDL		# SIN(LOM-LON)
			STMP
		SIN	PDDL		# SIN LOM
			STMP
		COS	VDEF		# COS LOM
		MXV	UNIT
			KONMAT		# K1,K2,K3,K4,
		STORE	VMOON
		DLOAD	PDDL
			KONMAT +2	# ZERO
			STMP +2
		SIN	PDDL		# SIN LOS
			STMP +2
		COS	VDEF		# COS LOS
		MXV	UNIT
			KONMAT
		STORE	VSUN
		RVQ
# Page 987
POSITE		DLOAD
			KONMAT +2	# ZEROS
		STORE	GTMP
		GOTO
			POSITD
LUNVEL		RVQ
		SETLOC	EPHEM1
		BANK

		COUNT*	$$/EPHEM
STMP		EQUALS	16D
GTMP		EQUALS	22D
TIMEP		EQUALS	24D

# *** END OF LEMP50S .115 ***