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slalib/earth.f

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+      SUBROUTINE sla_EARTH (IY, ID, FD, PV)
+*+
+*     - - - - - -
+*      E A 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 sla_CALYD or
+*     sla_CLYD.
+*
+*  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 sla_EVP
+*     and sla_EPV.
+*
+*  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., 59 Temple Place, Suite 330, 
+*    Boston, MA  02111-1307  USA
+*
+*-
+
+      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