diff options
Diffstat (limited to 'src/slalib/earth.f')
-rw-r--r-- | src/slalib/earth.f | 111 |
1 files changed, 111 insertions, 0 deletions
diff --git a/src/slalib/earth.f b/src/slalib/earth.f new file mode 100644 index 0000000..f37ba2e --- /dev/null +++ b/src/slalib/earth.f @@ -0,0 +1,111 @@ + 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 precise results are obtainable with the routine sla_EVP. +* +* P.T.Wallace Starlink 23 November 1994 +* +* Copyright (C) 1995 Rutherford Appleton Laboratory +*- + + 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 |