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authorJoseph Hunkeler <jhunkeler@gmail.com>2015-07-08 20:46:52 -0400
committerJoseph Hunkeler <jhunkeler@gmail.com>2015-07-08 20:46:52 -0400
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+ SUBROUTINE slERTH (IY, ID, FD, PV)
+*+
+* - - - - - -
+* E R T H
+* - - - - - -
+*
+* Approximate heliocentric position and velocity of the Earth
+*
+* Given:
+* IY I year
+* ID I day in year (1 = Jan 1st)
+* FD R fraction of day
+*
+* Returned:
+* PV R(6) Earth position & velocity vector
+*
+* Notes:
+*
+* 1 The date and time is TDB (loosely ET) in a Julian calendar
+* which has been aligned to the ordinary Gregorian
+* calendar for the interval 1900 March 1 to 2100 February 28.
+* The year and day can be obtained by calling slCAYD or
+* slCLYD.
+*
+* 2 The Earth heliocentric 6-vector is mean equator and equinox
+* of date. Position part, PV(1-3), is in AU; velocity part,
+* PV(4-6), is in AU/sec.
+*
+* 3 Max/RMS errors 1950-2050:
+* 13/5 E-5 AU = 19200/7600 km in position
+* 47/26 E-10 AU/s = 0.0070/0.0039 km/s in speed
+*
+* 4 More accurate results are obtainable with the routines slEVP
+* and slEPV.
+*
+* Last revision: 5 April 2005
+*
+* Copyright P.T.Wallace. All rights reserved.
+*
+* License:
+* This program is free software; you can redistribute it and/or modify
+* it under the terms of the GNU General Public License as published by
+* the Free Software Foundation; either version 2 of the License, or
+* (at your option) any later version.
+*
+* This program is distributed in the hope that it will be useful,
+* but WITHOUT ANY WARRANTY; without even the implied warranty of
+* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+* GNU General Public License for more details.
+*
+* You should have received a copy of the GNU General Public License
+* along with this program (see SLA_CONDITIONS); if not, write to the
+* Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+* Boston, MA 02110-1301 USA
+*
+* Copyright (C) 1995 Association of Universities for Research in Astronomy Inc.
+*-
+
+ IMPLICIT NONE
+
+ INTEGER IY,ID
+ REAL FD,PV(6)
+
+ INTEGER IY4
+ REAL TWOPI,SPEED,REMB,SEMB,YI,YF,T,ELM,GAMMA,EM,ELT,EPS0,
+ : E,ESQ,V,R,ELMM,COSELT,SINEPS,COSEPS,W1,W2,SELMM,CELMM
+
+ PARAMETER (TWOPI=6.28318530718)
+
+* Mean orbital speed of Earth, AU/s
+ PARAMETER (SPEED=1.9913E-7)
+
+* Mean Earth:EMB distance and speed, AU and AU/s
+ PARAMETER (REMB=3.12E-5,SEMB=8.31E-11)
+
+
+
+* Whole years & fraction of year, and years since J1900.0
+ YI=FLOAT(IY-1900)
+ IY4=MOD(MOD(IY,4)+4,4)
+ YF=(FLOAT(4*(ID-1/(IY4+1))-IY4-2)+4.0*FD)/1461.0
+ T=YI+YF
+
+* Geometric mean longitude of Sun
+* (cf 4.881627938+6.283319509911*T MOD 2PI)
+ ELM=MOD(4.881628+TWOPI*YF+0.00013420*T,TWOPI)
+
+* Mean longitude of perihelion
+ GAMMA=4.908230+3.0005E-4*T
+
+* Mean anomaly
+ EM=ELM-GAMMA
+
+* Mean obliquity
+ EPS0=0.40931975-2.27E-6*T
+
+* Eccentricity
+ E=0.016751-4.2E-7*T
+ ESQ=E*E
+
+* True anomaly
+ V=EM+2.0*E*SIN(EM)+1.25*ESQ*SIN(2.0*EM)
+
+* True ecliptic longitude
+ ELT=V+GAMMA
+
+* True distance
+ R=(1.0-ESQ)/(1.0+E*COS(V))
+
+* Moon's mean longitude
+ ELMM=MOD(4.72+83.9971*T,TWOPI)
+
+* Useful functions
+ COSELT=COS(ELT)
+ SINEPS=SIN(EPS0)
+ COSEPS=COS(EPS0)
+ W1=-R*SIN(ELT)
+ W2=-SPEED*(COSELT+E*COS(GAMMA))
+ SELMM=SIN(ELMM)
+ CELMM=COS(ELMM)
+
+* Earth position and velocity
+ PV(1)=-R*COSELT-REMB*CELMM
+ PV(2)=(W1-REMB*SELMM)*COSEPS
+ PV(3)=W1*SINEPS
+ PV(4)=SPEED*(SIN(ELT)+E*SIN(GAMMA))+SEMB*SELMM
+ PV(5)=(W2-SEMB*CELMM)*COSEPS
+ PV(6)=W2*SINEPS
+
+ END