!************************************************************************* SUBROUTINE PEP ( XJD, ET, TSKIP, EARTH, SUN, XMOON ) IMPLICIT None ! ! 4. PEP ! ! 4.1 PEP PROGRAM SPECIFICATION ! ! 4.1.1 PEP is the utility which obtains the solar system geometry ! from the JPL DE405/LE405 ephemeris. Positions and velocities ! are obtained for the Sun, Moon, and all planets except Pluto. ! Acceleration is also obtained for the Earth. ! ! Users Note: The JPL DE405 ephemeris used here was created by ! merging the two Unix binary ephemeris files for 1950-2000 and ! 2000-2050, obtained from the JPL site. We use the standard JPL ! subroutines ! ! PLEPH, STATE, INTERP, and SPLIT, with a few modifications, but all ! unchanged from Calc 9. ! ! October 2012: Now using the JPL DE421 ephemeris, little Endian ! version. ! ! 4.1.2 RESTRICTIONS - None ! ! 4.1.3 REFERENCES - JPL anonymous FTP site ! ftp://ssd.jpl.nasa.gov/pub/eph/planets/ascii/421 ! ! 4.2 PEP PROGRAM INTERFACE ! ! 4.2.1 CALLING SEQUENCE - ! INPUT VARIABLES: ! 1. XJD - The Julian date at zero hours UTC of the date in ! question. (days) ! 2. CT - The coordinate time fraction of the coordinate time ! day (days). ! 3. ET - Ephemeris time (days). Using TDB at the geocenter. ! 4. TSKIP - Flag telling whether to compute new values or use ! previous values. If TSKIP = 0 => new time, compute ! new values. If TSKIP = 1 => same time as previous ! observation, re-use previous values. ! ! OUTPUT VARIABLES: ! 1. EARTH(3,3) - THE J2000.0 BARYCENTRIC EARTH POSITION, VELOCITY, ! AND ACCELERATION VECTORS. (M, M/SEC, M/SEC**2) ! (THE FIRST INDEX RUNS OVER THE VECTOR ! COMPONENTS, THE SECOND RUNS OVER THE POSITION, ! VELOCITY, AND ACCELERATION RESPECTIVELY.) ! 2. SUN(3,2) - THE J2000.0 GEOCENTRIC SUN POSITION AND VELOCITY ! VECTORS. (M, M/SEC) ! 3. XMOON(3,2) - THE J2000.0 GEOCENTRIC MOON POSITION AND VELOCITY ! VECTORS. (M, M/SEC) ! ! 4.2.2 COMMON BLOCKS USED - ! INCLUDE 'csolsys11.i' ! VARIABLES 'TO': ! 1. SPLANET(3,2,7) - The J2000.0 Solar System Barycentric positions ! and velocities of all planets except the Earth ! and Pluto. (meters, meters/sec) The first index ! runs over X, Y, and Z, the second runs over ! position and velocity, and the third runs over ! the planets, where ! 1 = Mercury ! 2 = Venus ! 3 = Mars ! 4 = Jupiter ! 5 = Saturn ! 6 = Uranus ! 7 = Neptune ! 2. GPLANET(3,2,7) - The J2000.0 Geocentric positions and velocities ! of all planets except the Earth and Pluto. ! (meters, meters/sec) The first index runs over ! X, Y, and Z, the second runs over position and ! velocity, and the third runs over the planets, ! where ! 1 = Mercury ! 2 = Venus ! 3 = Mars ! 4 = Jupiter ! 5 = Saturn ! 6 = Uranus ! 7 = Neptune ! 3. SUNb(3,2) - Barycentric Sun position and velocity. ! 4. MOONb(3,2) - Barycentric Moon position and velocity. ! INCLUDE 'ccon.i' ! VARIABLES 'FROM': ! 1. KPEPD - THE PEP UTILITY ROUTINE DEBUG OUTPUT FLAG. ! 2. KPEPC - The PEP module flow control flag (No options). ! INCLUDE 'put2s.i' ! Variables to: ! 1. EARTH1(3,3) - THE J2000.0 BARYCENTRIC EARTH POSITION, VELOCITY, ! AND ACCELERATION VECTORS. (M, M/SEC, M/SEC**2) ! (THE FIRST INDEX RUNS OVER THE VECTOR ! COMPONENTS, THE SECOND RUNS OVER THE POSITION, ! VELOCITY, AND ACCELERATION RESPECTIVELY.) ! 2. SUN1(3,2) - THE J2000.0 GEOCENTRIC SUN POSITION AND VELOCITY ! VECTORS. (M, M/SEC) ! 3. XMOON1(3,2) - THE J2000.0 GEOCENTRIC MOON POSITION AND VELOCITY ! VECTORS. (M, M/SEC) ! ! ! 4.2.3 PROGRAM SPECIFICATIONS - ! Real*8 EARTH(3,3),SUN(3,2),XMOON(3,2) INTEGER*4 TSKIP, TARG, CENT, IPV, IERR, ITARG, I, K Real*8 XJD, TJD, CT, OBSDIF, ET Real*8 POS(3), VEL(3), RRD(6) Equivalence ( RRD(1), POS(1) ) Equivalence ( RRD(4), VEL(1) ) Real*8 tplus1, tminus1, rplus1(6), rminus1(6) ! ! Real*8 unit_planet(3) ! Real*8 S_planet, G_planet, x, y, z, DEC, DEC_min, DEC_sec, theta, & ! & RA, RA_hrs, RA_min, RA_sec, Vecmg ! Integer*4 K_deg, K_min, I_hrs, I_min ! ! 4.2.4 DATA BASE ACCESS - None ! ! 4.2.5 EXTERNAL INPUT/OUTPUT - Possible debug and error output ! ! 4.2.6 SUBROUTINE INTERFACE - ! CALLER SUBROUTINES: DRIVG ! CALLED SUBROUTINES: PLEPH ! ! 4.2.7 CONSTANTS USED - NONE ! ! 4.2.8 PROGRAM VARIABLES - ! 1. Targ - Integer number of the 'target' object in subroutine ! PLEPH (see PLEPH). ! 2. Cent - Integer number of the reference point in subroutine ! PLEPH (see PLEPH). Here we use cent=12 ==> SSBC. ! 3. Pos(3) - J2000 position of 'targ' with respect to 'cent', as ! returned by subroutine PLEPH. (km) ! 4. Vel(3) - J2000 velocity of 'targ' with respect to 'cent', as ! returned by subroutine PLEPH. (km/sec) ! 5. TJD - Time of the current observation (Julian days). ! ! 4.2.9 PROGRAMMER - KATHY WATTS 04/25/77 ! PETER DENATALE 07/19/77 ! BRUCE SCHUPLER 11/17/77 ! BRUCE SCHUPLER 01/08/80 ! CHOPO MA 08/04/81 ! Jim Ryan 89.07.25 Documentation simplified. ! Jim Ryan 89.12.12 UNIX-like database interface ! implimented. ! David Gordon, Brent Archinal Oct/Nov 1993 - Use of JPL ! DE/LE200 ephemeris added for Sun, Moon, and ! all planets except Pluto. New common block ! /SOLSYS/ added to hold planetary information. ! David Gordon 94.01.07 Code added to compare time with ! time of previous scan and skip solar system ! ephemeris calculations if they are the same. ! David Gordon 94.04.18 Converted to Implicit None. ! David Gordon 94.06.07 Documentation expanded. ! David Gordon/Michael Kesteven 94.06.07 Mods for SUN and ! DEC ALPHA compatibility: rrd(12) put in call ! to PLEPH. ! David Gordon 98.02.05 DPSI and DEPS (database nutation) ! removed. Computation repeat/no repeat logic ! moved to DRIVG. Options to get Sun, Moon, ! Earth from data base removed. ! David Gordon 98.07.13 Converted to read JPL DE/LE403 ! Ephemeris for compliance with the IERS 1996 ! Conventions. Old code would not work so ! now using the standard JPL ephemeris ! subroutines, with slight modifications. ! Earth's acceleration obtained by doing a ! numerical differentiation of the velocity ! at +1/-1 second from the time tag epoch. ! David Gordon 99.01.14 Added PUT's for 'EARTH CE', ! 'SUN DATA', and 'MOONDATA' - Earth, Sun, ! and Moon Coordinates. This is to avoid an ! angry lynch mob after Dbedit is updated to ! no longer put these in at data base creation ! time. ! Jim Ryan 2002 Sept. Interger*4 updates. ! D. Gordon 2004.04.21 Updated to use DE405 ephemeris. ! D. Gordon 2012.10.17 Updated to use DE421 ephemeris, ! and to use TDB at geocenter as time ! argument. ! D. Gordon Dec. 2012. EARTH, SUN, MOON moved to 'put2s.i'. ! Moved all PUT's to subroutine PUT_G. ! ! ! PEP Program Structure ! ! Compute new values or use previous values? IF (TSKIP .eq. 1) Go to 510 ! ! Get the solar system geometry of the current observation from the ! DE/LE405 file. ! !--- CT of observation. ! TJD = XJD + CT ! Ephereris time of observation. TJD = XJD + ET ! ! Get SSBC Earth position, velocity, and acceleration vectors targ=3 ! Earth cent=12 ! Barycentric ! ! First get Earth position and velocity 1 second before and one second later tminus1 = tjd - 1.d0/8.64d4 tplus1 = tjd + 1.d0/8.64d4 call pleph(tminus1,targ,cent,rminus1) call pleph(tplus1,targ,cent,rplus1) ! call pleph(tjd,targ,cent,rrd) do i=1,3 earth(i,1) = pos(i)*1.D3 !convert from km's to meters earth(i,2) = vel(i)*1.D3 earth(i,3) = (rplus1(i+3) - rminus1(i+3))*1.D3 / 2.D0 !Acceleration earth1(i,1) = earth(i,1) earth1(i,2) = earth(i,2) earth1(i,3) = earth(i,3) enddo ! ! Get SSBC Sun position and velocity vectors targ=11 ! Sun cent=12 ! Barycentric call pleph(tjd,targ,cent,rrd) ! Convert to geocentric coordinates do i=1,3 sun(i,1) = pos(i)*1.D3 - earth(i,1) sun(i,2) = vel(i)*1.D3 - earth(i,2) sun1(i,1) = sun(i,1) sun1(i,2) = sun(i,2) SUNb(i,1) = pos(i)*1.D3 ! Barycentric Sun position SUNb(i,2) = vel(i)*1.D3 ! Barycentric Sun velocity enddo ! ! Get SSBC Moon position and velocity vectors targ=10 ! Moon cent=12 ! Barycentric call pleph(tjd,targ,cent,rrd) ! Convert to geocentric coordinates do i=1,3 xmoon(i,1) = pos(i)*1.D3 - earth(i,1) xmoon(i,2) = vel(i)*1.D3 - earth(i,2) xmoon1(i,1) = xmoon(i,1) xmoon1(i,2) = xmoon(i,2) MOONb(i,1) = pos(i)*1.D3 ! Barycentric Moon position MOONb(i,2) = vel(i)*1.D3 ! Barycentric Moon velocity enddo ! ! Get SSBC position and velocity vectors for all other planets except ! Pluto (1=Mercury, 2=Venus, 3=Mars, 4=Jupiter, 5=Saturn, 6=Uranus, ! and 7=Neptune) cent = 12 ! in SSBC coordinates Do itarg=1,7 if (itarg.le.2) targ = itarg ! Mercury and Venus if (itarg.gt.2) targ = itarg+1 ! Mars, Jupiter, etc. (skip Earth) call pleph(tjd,targ,cent,rrd) ! k = itarg ! Planet index do i=1,3 SPLANET(i,1,k) = pos(i)*1.D3 ! SSBC position SPLANET(i,2,k) = vel(i)*1.D3 ! SSBC velocity GPLANET(i,1,k) = SPLANET(i,1,k) - Earth(i,1) ! Geocentric position GPLANET(i,2,k) = SPLANET(i,2,k) - Earth(i,2) ! Geocentric velocity enddo ! Enddo ! 510 Continue ! ! PUT's for Earth, Sun, and Moon coordinates moved to PUT_G. ! !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC ! ! Test code to convert to RA and Dec. Keep for future usefulness. ! do k = 1,7 ! S_planet = Vecmg(SPLANET(1,1,k)) / 1.4959787061D11 ! in AU's ! G_planet = Vecmg(GPLANET(1,1,k)) / 1.4959787061D11 ! in AU's ! write(6,'(" k, S_planet, G_planet = ",i3,2f12.7)') ! . k, S_planet, G_planet ! ! call Vunit(GPLANET(1,1,k),unit_planet) ! x = unit_planet(1) ! y = unit_planet(2) ! z = unit_planet(3) ! write(6,'(" x, y, z = ",3f12.8)') x,y,z ! ! DEC = DASIND(z) ! Declination in degrees ! DEC_min = (DEC - INT(DEC)) * 60.D0 ! DEC_sec = (DEC_min - INT(DEC_min)) * 60.D0 ! K_deg = DEC ! K_min = DEC_min ! ! theta = DATAND( DABS (y/x) ) ! if (x.ge.0 .and. y.ge.0) RA = theta ! RA in degrees ! if (x.le.0 .and. y.ge.0) RA = -theta + 180.D0 ! RA in degrees ! if (x.le.0 .and. y.le.0) RA = theta + 180.D0 ! RA in degrees ! if (x.ge.0 .and. y.le.0) RA = -theta + 360.D0 ! RA in degrees ! RA_hrs = RA/15.D0 ! RA_min = (RA_hrs - INT(RA_hrs)) * 60.D0 ! RA_sec = (RA_min - INT(RA_min)) * 60.D0 ! I_hrs = RA_hrs ! I_min = RA_min ! write(6,'(" RA, hr, min, sec = ", F10.5,i5,i3,f6.2 )') ! . RA, I_hrs, I_min, RA_sec ! write(6,'(" DEC, deg, min, sec = ", F10.5,i5,i3,f6.2 )') ! . DEC, K_deg, K_min, DEC_sec ! enddo ! !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC ! ! Check KPEPD for debug output. IF ( KPEPD .ne. 0 ) Then ! WRITE (6,'(" Debug output for subroutine PEP.")') ! ! write(6,'(2x," Ephemeris information from JPL DE/LE405", & write(6,'(2x," Ephemeris information from JPL DE421", & & " Ephemeris:")') write(6,'("XJD, ET, TJD: ",3D25.16)') XJD, ET, TJD WRITE ( 6, 9200 ) EARTH, SUN, XMOON 9200 FORMAT (1X, 'EARTH = ', 3 ( 3 ( D30.16, 10X ), /, 1X ), & & 'SUN = ', 2 ( 3 ( D30.16, 10X ), /, 1X ), & & 'XMOON = ', 2 ( 3 ( D30.16, 10X ), /, 1X ) ) ! do k = 1,7 write(6,'(/)') write(6,'("SPLANET(",I1,") = ",3d25.16)') k, & & SPLANET(1,1,k),SPLANET(2,1,k),SPLANET(3,1,k) write(6,'("SPLANET(",I1,") = ",3d25.16)') k, & & SPLANET(1,2,k),SPLANET(2,2,k),SPLANET(3,2,k) write(6,'("GPLANET(",I1,") = ",3d25.16)') k, & & GPLANET(1,1,k),GPLANET(2,1,k),GPLANET(3,1,k) write(6,'("GPLANET(",I1,") = ",3d25.16)') k, & & GPLANET(1,2,k),GPLANET(2,2,k),GPLANET(3,2,k) enddo ! Endif ! RETURN END ! !*************************************************************************** SUBROUTINE PLEPH ( ET, NTARG, NCENT, RRD ) Implicit None ! ! The following code is from JPL with only a few necessary modifications: ! ! ! NOTE : Over the years, different versions of PLEPH have had a fifth argument: ! sometimes, an error return statement number; sometimes, a logical denoting ! whether or not the requested date is covered by the ephemeris. We apologize ! for this inconsistency; in this present version, we use only the four ! necessary arguments and do the testing outside of the subroutine. ! ! THIS SUBROUTINE READS THE JPL PLANETARY EPHEMERIS AND GIVES THE ! POSITION AND VELOCITY OF THE POINT 'NTARG' WITH RESPECT TO 'NCENT'. ! ! CALLING SEQUENCE PARAMETERS: ! ! ET = D.P. JULIAN EPHEMERIS DATE AT WHICH INTERPOLATION IS WANTED. ! ! ** NOTE THE ENTRY DPLEPH FOR A DOUBLY-DIMENSIONED TIME ** ! THE REASON FOR THIS OPTION IS DISCUSSED IN THE SUBROUTINE STATE ! ! NTARG = INTEGER NUMBER OF 'TARGET' POINT. ! NCENT = INTEGER NUMBER OF CENTER POINT. ! ! THE NUMBERING CONVENTION FOR 'NTARG' AND 'NCENT' IS: ! 1 = MERCURY 8 = NEPTUNE ! 2 = VENUS 9 = PLUTO ! 3 = EARTH 10 = MOON ! 4 = MARS 11 = SUN ! 5 = JUPITER 12 = SOLAR-SYSTEM BARYCENTER ! 6 = SATURN 13 = EARTH-MOON BARYCENTER ! 7 = URANUS 14 = NUTATIONS (LONGITUDE AND OBLIQ) ! 15 = LIBRATIONS, IF ON EPH FILE ! (IF NUTATIONS ARE WANTED, SET NTARG = 14. FOR LIBRATIONS, ! SET NTARG = 15. SET NCENT=0.) ! ! RRD = OUTPUT 6-WORD D.P. ARRAY CONTAINING POSITION AND VELOCITY ! OF POINT 'NTARG' RELATIVE TO 'NCENT'. THE UNITS ARE AU AND ! AU/DAY. FOR LIBRATIONS THE UNITS ARE RADIANS AND RADIANS ! PER DAY. IN THE CASE OF NUTATIONS THE FIRST FOUR WORDS OF ! RRD WILL BE SET TO NUTATIONS AND RATES, HAVING UNITS OF ! RADIANS AND RADIANS/DAY. ! ! The option is available to have the units in km and km/sec. ! For this, set km=.true. in the STCOMX common block. ! REAL*8 RRD(6),ET2Z(2),ET2(2),PV(6,13), ET, AU, EMRAT REAL*8 SS(3),CVAL(400),PVSUN(6) ! BL1,BL2 added for padding. Common STCOMX rearranged. LOGICAL*2 BSAVE,KM,BARY, BL1,BL2 LOGICAL*2 FIRST DATA FIRST/.TRUE./ INTEGER*4 LIST(12), IPT(39), DENUM, NTARG, NCENT, NCON, I, K ! COMMON/EPHHDR/CVAL,SS,AU,EMRAT,DENUM,NCON,IPT ! COMMON/STCOMX/KM,BARY,PVSUN COMMON/STCOMX/PVSUN, KM, BARY, BL1, BL2 ! ! ! INITIALIZE ET2 FOR 'STATE' AND SET UP COMPONENT COUNT ET2(1)=ET ET2(2)=0.D0 ! GO TO 11 ! ! ENTRY POINT 'DPLEPH' FOR DOUBLY-DIMENSIONED TIME ARGUMENT ! (SEE THE DISCUSSION IN THE SUBROUTINE STATE) ! ENTRY DPLEPH(ET2Z,NTARG,NCENT,RRD) ! ET2(1)=ET2Z(1) ! ET2(2)=ET2Z(2) ! 11 DO I=1,6 RRD(I)=0.D0 ENDDO ! IF(FIRST) CALL STATE(0.D0,0,0,0) FIRST=.FALSE. ! 96 IF(NTARG .EQ. NCENT) RETURN ! DO I=1,12 LIST(I)=0 ENDDO ! ! CHECK FOR NUTATION CALL IF(NTARG.NE.14) GO TO 97 IF(IPT(35).GT.0) THEN LIST(11)=2 CALL STATE(ET2,LIST,PV,RRD) RETURN ELSE WRITE(6,297) 297 FORMAT(' ***** NO NUTATIONS ON THE EPHEMERIS FILE *****') STOP ENDIF ! ! CHECK FOR LIBRATIONS 97 IF(NTARG.NE.15) GO TO 98 IF(IPT(38).GT.0) THEN LIST(12)=2 CALL STATE(ET2,LIST,PV,RRD) DO I=1,6 RRD(I)=PV(I,11) ENDDO RETURN ELSE WRITE(6,298) 298 FORMAT(' ***** NO LIBRATIONS ON THE EPHEMERIS FILE *****') STOP ENDIF ! ! FORCE BARYCENTRIC OUTPUT BY 'STATE' 98 BSAVE=BARY BARY=.TRUE. ! ! SET UP PROPER ENTRIES IN 'LIST' ARRAY FOR STATE CALL DO I=1,2 K=NTARG IF(I .EQ. 2) K=NCENT IF(K .LE. 10) LIST(K)=2 IF(K .EQ. 10) LIST(3)=2 IF(K .EQ. 3) LIST(10)=2 IF(K .EQ. 13) LIST(3)=2 ENDDO ! ! MAKE CALL TO STATE CALL STATE(ET2,LIST,PV,RRD) ! IF(NTARG .EQ. 11 .OR. NCENT .EQ. 11) THEN DO I=1,6 PV(I,11)=PVSUN(I) ENDDO ENDIF ! IF(NTARG .EQ. 12 .OR. NCENT .EQ. 12) THEN DO I=1,6 PV(I,12)=0.D0 ENDDO ENDIF ! IF(NTARG .EQ. 13 .OR. NCENT .EQ. 13) THEN DO I=1,6 PV(I,13)=PV(I,3) ENDDO ENDIF ! IF(NTARG*NCENT .EQ. 30 .AND. NTARG+NCENT .EQ. 13) THEN DO I=1,6 PV(I,3)=0.D0 ENDDO GO TO 99 ENDIF ! IF(LIST(3) .EQ. 2) THEN DO I=1,6 PV(I,3)=PV(I,3)-PV(I,10)/(1.D0+EMRAT) ENDDO ENDIF ! IF(LIST(10) .EQ. 2) THEN DO I=1,6 PV(I,10)=PV(I,3)+PV(I,10) ENDDO ENDIF ! 99 DO I=1,6 RRD(I)=PV(I,NTARG)-PV(I,NCENT) ENDDO ! BARY=BSAVE ! RETURN END ! !***************************************************************************** SUBROUTINE INTERP(BUF,T,NCF,NCM,NA,IFL,PV) Implicit None ! ! THIS SUBROUTINE DIFFERENTIATES AND INTERPOLATES A ! SET OF CHEBYSHEV COEFFICIENTS TO GIVE POSITION AND VELOCITY ! ! CALLING SEQUENCE PARAMETERS: ! ! INPUT: ! BUF 1ST LOCATION OF ARRAY OF D.P. CHEBYSHEV COEFFICIENTS OF POSITION ! T T(1) IS DP FRACTIONAL TIME IN INTERVAL COVERED BY ! COEFFICIENTS AT WHICH INTERPOLATION IS WANTED ! (0 .LE. T(1) .LE. 1). T(2) IS DP LENGTH OF WHOLE ! INTERVAL IN INPUT TIME UNITS. ! NCF # OF COEFFICIENTS PER COMPONENT ! NCM # OF COMPONENTS PER SET OF COEFFICIENTS ! NA # OF SETS OF COEFFICIENTS IN FULL ARRAY ! (I.E., # OF SUB-INTERVALS IN FULL INTERVAL) ! IFL INTEGER FLAG: =1 FOR POSITIONS ONLY ! =2 FOR POS AND VEL ! ! OUTPUT: ! PV INTERPOLATED QUANTITIES REQUESTED. DIMENSION ! EXPECTED IS PV(NCM,IFL), DP. ! SAVE REAL*8 BUF(NCF,NCM,*), T(2), PV(NCM,*), PC(18), VC(18), & & DNA, DT1, TEMP, TC, TWOT, VFAC INTEGER*4 NCF, NCM, NA, IFL, L, NP, NV, I, J ! DATA NP/2/ DATA NV/3/ DATA TWOT/0.D0/ DATA PC(1),PC(2)/1.D0,0.D0/ DATA VC(2)/1.D0/ ! ! ENTRY POINT. GET CORRECT SUB-INTERVAL NUMBER FOR THIS SET ! OF COEFFICIENTS AND THEN GET NORMALIZED CHEBYSHEV TIME ! WITHIN THAT SUBINTERVAL. ! DNA=DBLE(NA) DT1=DINT(T(1)) TEMP=DNA*T(1) L=IDINT(TEMP-DT1)+1 ! ! ! TC IS THE NORMALIZED CHEBYSHEV TIME (-1 .LE. TC .LE. 1) TC=2.D0*(DMOD(TEMP,1.D0)+DT1)-1.D0 ! ! CHECK TO SEE WHETHER CHEBYSHEV TIME HAS CHANGED, ! AND COMPUTE NEW POLYNOMIAL VALUES IF IT HAS. ! (THE ELEMENT PC(2) IS THE VALUE OF T1(TC) AND HENCE ! CONTAINS THE VALUE OF TC ON THE PREVIOUS CALL.) ! IF(TC.NE.PC(2)) THEN NP=2 NV=3 PC(2)=TC TWOT=TC+TC ENDIF ! ! BE SURE THAT AT LEAST 'NCF' POLYNOMIALS HAVE BEEN EVALUATED ! AND ARE STORED IN THE ARRAY 'PC'. IF(NP.LT.NCF) THEN DO 1 I=NP+1,NCF PC(I)=TWOT*PC(I-1)-PC(I-2) 1 CONTINUE NP=NCF ENDIF ! ! INTERPOLATE TO GET POSITION FOR EACH COMPONENT DO 2 I=1,NCM PV(I,1)=0.D0 DO 3 J=NCF,1,-1 PV(I,1)=PV(I,1)+PC(J)*BUF(J,I,L) 3 CONTINUE 2 CONTINUE IF(IFL.LE.1) RETURN ! ! IF VELOCITY INTERPOLATION IS WANTED, BE SURE ENOUGH ! DERIVATIVE POLYNOMIALS HAVE BEEN GENERATED AND STORED. VFAC=(DNA+DNA)/T(2) VC(3)=TWOT+TWOT IF(NV.LT.NCF) THEN DO 4 I=NV+1,NCF VC(I)=TWOT*VC(I-1)+PC(I-1)+PC(I-1)-VC(I-2) 4 CONTINUE NV=NCF ENDIF ! ! INTERPOLATE TO GET VELOCITY FOR EACH COMPONENT DO 5 I=1,NCM PV(I,2)=0.D0 DO 6 J=NCF,2,-1 PV(I,2)=PV(I,2)+VC(J)*BUF(J,I,L) 6 CONTINUE PV(I,2)=PV(I,2)*VFAC 5 CONTINUE ! RETURN END ! !**************************************************************************** SUBROUTINE SPLIT(TT,FR) Implicit None ! ! THIS SUBROUTINE BREAKS A D.P. NUMBER INTO A D.P. INTEGER ! AND A D.P. FRACTIONAL PART. ! ! CALLING SEQUENCE PARAMETERS: ! TT = D.P. INPUT NUMBER ! FR = D.P. 2-WORD OUTPUT ARRAY. ! FR(1) CONTAINS INTEGER PART. ! FR(2) CONTAINS FRACTIONAL PART. ! FOR NEGATIVE INPUT NUMBERS, FR(1) CONTAINS THE NEXT ! MORE NEGATIVE INTEGER; FR(2) CONTAINS A POSITIVE FRACTION. ! ! CALLING SEQUENCE DECLARATIONS REAL*8 TT, FR(2) ! ! MAIN ENTRY -- GET INTEGER AND FRACTIONAL PARTS FR(1)=DINT(TT) FR(2)=TT-FR(1) ! IF(TT.GE.0.D0 .OR. FR(2).EQ.0.D0) RETURN ! ! MAKE ADJUSTMENTS FOR NEGATIVE INPUT NUMBER FR(1)=FR(1)-1.D0 FR(2)=FR(2)+1.D0 ! RETURN END ! !************************************************************************ SUBROUTINE STATE(ET2,LIST,PV,PNUT) Implicit None ! ! THIS SUBROUTINE READS AND INTERPOLATES THE JPL PLANETARY EPHEMERIS FILE ! ! CALLING SEQUENCE PARAMETERS: ! ! INPUT: ! ET2 DP 2-WORD JULIAN EPHEMERIS EPOCH AT WHICH INTERPOLATION ! IS WANTED. ANY COMBINATION OF ET2(1)+ET2(2) WHICH FALLS ! WITHIN THE TIME SPAN ON THE FILE IS A PERMISSIBLE EPOCH. ! A. FOR EASE IN PROGRAMMING, THE USER MAY PUT THE ! ENTIRE EPOCH IN ET2(1) AND SET ET2(2)=0. ! B. FOR MAXIMUM INTERPOLATION ACCURACY, SET ET2(1) = ! THE MOST RECENT MIDNIGHT AT OR BEFORE INTERPOLATION ! EPOCH AND SET ET2(2) = FRACTIONAL PART OF A DAY ! ELAPSED BETWEEN ET2(1) AND EPOCH. ! C. AS AN ALTERNATIVE, IT MAY PROVE CONVENIENT TO SET ! ET2(1) = SOME FIXED EPOCH, SUCH AS START OF INTEGRATION, ! AND ET2(2) = ELAPSED INTERVAL BETWEEN THEN AND EPOCH. ! LIST 12-WORD INTEGER ARRAY SPECIFYING WHAT INTERPOLATION ! IS WANTED FOR EACH OF THE BODIES ON THE FILE. ! LIST(I)=0, NO INTERPOLATION FOR BODY I ! =1, POSITION ONLY ! =2, POSITION AND VELOCITY ! THE DESIGNATION OF THE ASTRONOMICAL BODIES BY I IS: ! I = 1: MERCURY ! = 2: VENUS ! = 3: EARTH-MOON BARYCENTER ! = 4: MARS ! = 5: JUPITER ! = 6: SATURN ! = 7: URANUS ! = 8: NEPTUNE ! = 9: PLUTO ! =10: GEOCENTRIC MOON ! =11: NUTATIONS IN LONGITUDE AND OBLIQUITY ! =12: LUNAR LIBRATIONS (IF ON FILE) ! ! OUTPUT: ! PV DP 6 X 11 ARRAY THAT WILL CONTAIN REQUESTED INTERPOLATED ! QUANTITIES. THE BODY SPECIFIED BY LIST(I) WILL HAVE ITS ! STATE IN THE ARRAY STARTING AT PV(1,I). (ON ANY GIVEN ! CALL, ONLY THOSE WORDS IN 'PV' WHICH ARE AFFECTED BY THE ! FIRST 10 'LIST' ENTRIES (AND BY LIST(12) IF LIBRATIONS ARE ! ON THE FILE) ARE SET. THE REST OF THE 'PV' ARRAY ! IS UNTOUCHED.) THE ORDER OF COMPONENTS STARTING IN ! PV(1,I) IS: X,Y,Z,DX,DY,DZ. ! ALL OUTPUT VECTORS ARE REFERENCED TO THE EARTH MEAN ! EQUATOR AND EQUINOX OF J2000 IF THE DE NUMBER IS 200 OR ! GREATER; OF B1950 IF THE DE NUMBER IS LESS THAN 200. ! THE MOON STATE IS ALWAYS GEOCENTRIC; THE OTHER NINE STATES ! ARE EITHER HELIOCENTRIC OR SOLAR-SYSTEM BARYCENTRIC, ! DEPENDING ON THE SETTING OF COMMON FLAGS (SEE BELOW). ! LUNAR LIBRATIONS, IF ON FILE, ARE PUT INTO PV(K,11) IF ! LIST(12) IS 1 OR 2. ! NUT DP 4-WORD ARRAY THAT WILL CONTAIN NUTATIONS AND RATES, ! DEPENDING ON THE SETTING OF LIST(11). THE ORDER OF ! QUANTITIES IN NUT IS: ! D PSI (NUTATION IN LONGITUDE) ! D EPSILON (NUTATION IN OBLIQUITY) ! D PSI DOT ! D EPSILON DOT ! * STATEMENT # FOR ERROR RETURN, IN CASE OF EPOCH OUT OF ! RANGE OR I/O ERRORS. ! ! COMMON AREA STCOMX: ! KM LOGICAL FLAG DEFINING PHYSICAL UNITS OF THE OUTPUT ! STATES. KM = .TRUE., KM AND KM/SEC ! = .FALSE., AU AND AU/DAY ! DEFAULT VALUE = .FALSE. (KM DETERMINES TIME UNIT ! FOR NUTATIONS AND LIBRATIONS. ANGLE UNIT IS ALWAYS RADIANS.) ! BARY LOGICAL FLAG DEFINING OUTPUT CENTER. ! ONLY THE 9 PLANETS ARE AFFECTED. ! BARY = .TRUE. =\ CENTER IS SOLAR-SYSTEM BARYCENTER ! = .FALSE. =\ CENTER IS SUN ! DEFAULT VALUE = .FALSE. ! PVSUN DP 6-WORD ARRAY CONTAINING THE BARYCENTRIC POSITION AND ! VELOCITY OF THE SUN. ! SAVE REAL*8 ET2(2),PV(6,12),PNUT(4),T(2),PJD(4),BUF(1500), & & SS(3),CVAL(400),PVSUN(6,1), AU, EMRAT, S, AUFAC ! . SS(3),CVAL(400),PVSUN(3,2), AU, EMRAT, S, AUFAC INTEGER*4 LIST(12),IPT(3,13), NUMDE, NCON, NRFILE, & & IRECSZ, NCOEFFS, I, J, K, NRL, NR INTEGER*4 I2, I3 DATA I2 /2/ DATA I3 /3/ LOGICAL*2 FIRST DATA FIRST/.TRUE./ CHARACTER*6 TTL(14,3),CNAM(400) ! CHARACTER*80 NAMFIL ! BL1,BL2 added for padding. Common STCOMX rearranged. LOGICAL*2 KM,BARY, BL1, BL2 ! INCLUDE 'param11.i' ! Variables from: ! 1. JPL_405 - Character string giving the complete path name of ! the JPL DE405 ephemeris. ! COMMON/EPHHDR/CVAL,SS,AU,EMRAT,NUMDE,NCON,IPT COMMON/CHRHDR/CNAM,TTL ! COMMON/STCOMX/KM,BARY,PVSUN COMMON/STCOMX/PVSUN, KM, BARY, BL1, BL2 DATA KM/.TRUE./ ! ! Program Mods - ! D.Gordon 2005.02.18 Changed JPL_eph to JPL_405, IRECL to I_RECL, ! KSIZE to K_SIZE_JPL, and NRECL to N_RECL_JPL to ! avoid conflicts with Calc 9 in param.i ! file. !---------------------------------------------------------------------- ! ! ENTRY POINT - 1ST TIME IN, GET POINTER DATA, ETC., FROM EPH FILE IF(FIRST) THEN FIRST=.FALSE. ! NRFILE=12 I_RECL_JPL = N_RECL_JPL * K_SIZE_JPL ! print *, ' PEP: I_RECL_JPL, N_RECL_JPL, K_SIZE_JPL ', I_RECL_JPL, N_RECL_JPL, K_SIZE_JPL ! NCOEFFS = K_SIZE_JPL/2 ! NCOEFFS = I_RECL_JPL/N_RECL_JPL/2 ! ! OPEN(NRFILE, FILE=JPL_405, ACCESS='DIRECT', FORM='UNFORMATTED', & ! & RECL=I_RECL_JPL, STATUS='OLD') OPEN(NRFILE, FILE=JPL_DE421, ACCESS='DIRECT', FORM='UNFORMATTED', & & RECL=I_RECL_JPL, STATUS='OLD') ! READ(NRFILE,REC=1)TTL,CNAM,SS,NCON,AU,EMRAT, & & ((IPT(I,J),I=1,3),J=1,12),NUMDE,(IPT(I,13),I=1,3) ! READ(NRFILE,REC=2)CVAL ! ! write(6,'("JPL_405: ", A)' ) JPL_405 ! write(6,'("I_RECL_JPL: ", I)' ) I_RECL_JPL ! write(6,'("TTL: ", 3(14(a6)/))') TTL ! write(6,'("CNAM: ",40(10(a6,1x)/))') CNAM ! write(6,'("SS: ",3d25.16)') SS ! write(6,'("NCON, NUMDE: ",2i10)') NCON, NUMDE ! write(6,'("AU, EMRAT: ",2d25.16)') AU, EMRAT ! write(6,'("IPT: ",3(13i8,/))') IPT NRL=0 ! ENDIF ! ! ********** MAIN ENTRY POINT ********** IF(ET2(1) .EQ. 0.D0) RETURN ! S=ET2(1)-.5D0 CALL SPLIT(S,PJD(1)) CALL SPLIT(ET2(2),PJD(3)) PJD(1)=PJD(1)+PJD(3)+.5D0 PJD(2)=PJD(2)+PJD(4) CALL SPLIT(PJD(2),PJD(3)) PJD(1)=PJD(1)+PJD(3) ! ! ERROR RETURN FOR EPOCH OUT OF RANGE IF(PJD(1)+PJD(4).LT.SS(1) .OR. PJD(1)+PJD(4).GT.SS(2)) GO TO 98 ! ! CALCULATE RECORD # AND RELATIVE TIME IN INTERVAL NR=IDINT((PJD(1)-SS(1))/SS(3))+3 IF(PJD(1).EQ.SS(2)) NR=NR-1 T(1)=((PJD(1)-(DBLE(NR-3)*SS(3)+SS(1)))+PJD(4))/SS(3) ! ! READ CORRECT RECORD IF NOT IN CORE IF(NR.NE.NRL) THEN NRL=NR ! print *, '!!!!!!!!!! STATE: NR = ', NR READ(NRFILE,REC=NR,ERR=99)(BUF(K),K=1,NCOEFFS) ENDIF ! IF(KM) THEN T(2)=SS(3)*86400.D0 AUFAC=1.D0 ELSE T(2)=SS(3) AUFAC=1.D0/AU ENDIF ! ! INTERPOLATE SSBARY SUN ! CALL INTERP(BUF(IPT(1,11)),T,IPT(2,11),3,IPT(3,11),2,PVSUN) CALL INTERP(BUF(IPT(1,11)),T,IPT(2,11),I3,IPT(3,11),I2,PVSUN) DO I=1,6 PVSUN(I,1)=PVSUN(I,1)*AUFAC ENDDO ! ! CHECK AND INTERPOLATE WHICHEVER BODIES ARE REQUESTED ! DO 4 I=1,10 IF(LIST(I).EQ.0) GO TO 4 ! CALL INTERP(BUF(IPT(1,I)),T,IPT(2,I),3,IPT(3,I), ! & LIST(I),PV(1,I)) CALL INTERP(BUF(IPT(1,I)),T,IPT(2,I),I3,IPT(3,I), & & LIST(I),PV(1,I)) ! DO J=1,6 IF(I.LE.9 .AND. .NOT.BARY) THEN PV(J,I)=PV(J,I)*AUFAC-PVSUN(J,1) ELSE PV(J,I)=PV(J,I)*AUFAC ENDIF ENDDO ! 4 CONTINUE ! ! DO NUTATIONS IF REQUESTED (AND IF ON FILE) IF(LIST(11).GT.0 .AND. IPT(2,12).GT.0) THEN ! CALL INTERP(BUF(IPT(1,12)),T,IPT(2,12),2,IPT(3,12), ! * LIST(11),PNUT) CALL INTERP(BUF(IPT(1,12)),T,IPT(2,12),I2,IPT(3,12), & & LIST(11),PNUT) ENDIF ! ! GET LIBRATIONS IF REQUESTED (AND IF ON FILE) IF(LIST(12).GT.0 .AND. IPT(2,13).GT.0) THEN ! CALL INTERP(BUF(IPT(1,13)),T,IPT(2,13),3,IPT(3,13), ! * LIST(12),PV(1,11)) CALL INTERP(BUF(IPT(1,13)),T,IPT(2,13),I3,IPT(3,13), & & LIST(12),PV(1,11)) ENDIF ! RETURN ! 98 WRITE(6,198)ET2(1)+ET2(2),SS(1),SS(2) 198 format(' *** Requested JED,',f12.2, & & ' not within ephemeris limits,',2f12.2,' ***') ! STOP ! 99 WRITE(6,'(2F12.2," ERROR RETURN IN STATE")') ET2 STOP END