From 43856b5edafcd36597223365166b9ade894eb2eb Mon Sep 17 00:00:00 2001
From: Joe Taylor <k1jt@arrl.org>
Date: Tue, 2 Jun 2015 16:43:40 +0000
Subject: [PATCH] EME Doppler calculations now use JPL Planetary Ephemeris.

Also new, simplified routines for Doppler spread.
Beware! Not yet fully tested ...



git-svn-id: svn+ssh://svn.code.sf.net/p/wsjt/wsjt/branches/wsjtx@5496 ab8295b8-cf94-4d9e-aec4-7959e3be5d79
---
 CMakeLists.txt           |   24 +-
 contrib/Ephemeris/JPLEPH |  Bin 0 -> 3738096 bytes
 lib/astro.f90            |    6 +-
 lib/astro0.f90           |   29 +-
 lib/astrosub.f90         |    6 +-
 lib/dcoord.f90           |   40 -
 lib/dot.f90              |   11 -
 lib/ephem.f90            |   87 +
 lib/geocentric.f90       |   17 -
 lib/jplsubs.f            |  899 ++++++++++
 lib/libration.f90        |   38 +
 lib/moon2.f90            |  166 --
 lib/moondop.f90          |   72 -
 lib/moondopjpl.f90       |   43 +
 lib/slasubs.f            | 3396 ++++++++++++++++++++++++++++++++++++++
 lib/tm2.f90              |   14 -
 lib/toxyz.f90            |   25 -
 17 files changed, 4495 insertions(+), 378 deletions(-)
 create mode 100644 contrib/Ephemeris/JPLEPH
 delete mode 100644 lib/dcoord.f90
 delete mode 100644 lib/dot.f90
 create mode 100644 lib/ephem.f90
 delete mode 100644 lib/geocentric.f90
 create mode 100644 lib/jplsubs.f
 create mode 100644 lib/libration.f90
 delete mode 100644 lib/moon2.f90
 delete mode 100644 lib/moondop.f90
 create mode 100644 lib/moondopjpl.f90
 create mode 100644 lib/slasubs.f
 delete mode 100644 lib/tm2.f90
 delete mode 100644 lib/toxyz.f90

diff --git a/CMakeLists.txt b/CMakeLists.txt
index 7b0950f3a..f6496d893 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -268,11 +268,8 @@ set (wsjt_FSRCS
   lib/chkss2.f90
   lib/coord.f90
   lib/db.f90
-  lib/dcoord.f90
   lib/decode65a.f90
   lib/decode65b.f90
-  lib/fftw3mod.f90
-  lib/jt9fano.f90
   lib/decode4.f90
   lib/decoder.f90
   lib/decjt9.f90
@@ -280,18 +277,17 @@ set (wsjt_FSRCS
   lib/deg2grid.f90
   lib/demod64a.f90
   lib/determ.f90
-  lib/dot.f90
   lib/downsam9.f90
   lib/encode232.f90
   lib/encode4.f90
   lib/entail.f90
+  lib/ephem.f90
   lib/extract.F90
   lib/extract4.f90
-  lib/geocentric.f90
-  lib/getmet4.f90
   lib/fano232.f90
   lib/fchisq.f90
   lib/fchisq65.f90
+  lib/fftw3mod.f90
   lib/fil3.f90
   lib/fil3c.f90
   lib/fil4.f90
@@ -311,6 +307,7 @@ set (wsjt_FSRCS
   lib/genwspr.f90
   lib/geodist.f90
   lib/getlags.f90
+  lib/getmet4.f90
   lib/graycode.f90
   lib/graycode65.f90
   lib/grayline.f90
@@ -323,13 +320,15 @@ set (wsjt_FSRCS
   lib/interleave63.f90
   lib/interleave9.f90
   lib/inter_wspr.f90
+  lib/jplsubs.f
   lib/jt4.f90
   lib/jt4a.f90
   lib/jt65a.f90
+  lib/jt9fano.f90
+  lib/libration.f90
   lib/lpf1.f90
   lib/mixlpf.f90
-  lib/moon2.f90
-  lib/moondop.f90
+  lib/moondopjpl.f90
   lib/morse.f90
   lib/move.f90
   lib/options.f90
@@ -343,6 +342,7 @@ set (wsjt_FSRCS
   lib/savec2.f90
   lib/sec_midn.f90
   lib/setup65.f90
+  lib/slasubs.f
   lib/sleep_msec.f90
   lib/slope.f90
   lib/smo.f90
@@ -358,8 +358,6 @@ set (wsjt_FSRCS
   lib/sync9.f90
   lib/timer.f90
   lib/timf2.f90
-  lib/tm2.f90
-  lib/toxyz.f90
   lib/twkfreq.f90
   lib/twkfreq65.f90
   lib/wav11.f90
@@ -1002,6 +1000,12 @@ install (FILES
   #COMPONENT runtime
   )
 
+install (FILES
+  contrib/Ephemeris/JPLEPH
+  DESTINATION ${WSJT_SHARE_DESTINATION}/${WSJT_DATA_DESTINATION}
+  #COMPONENT runtime
+  )
+
 #
 # Mac installer files
 #
diff --git a/contrib/Ephemeris/JPLEPH b/contrib/Ephemeris/JPLEPH
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literal 0
HcmV?d00001

diff --git a/lib/astro.f90 b/lib/astro.f90
index a0787998f..f80beb91e 100644
--- a/lib/astro.f90
+++ b/lib/astro.f90
@@ -42,11 +42,7 @@ subroutine astro(nyear,month,nday,uth,freq8,Mygrid,                    &
   call sun(nyear,month,nday,uth,lon,lat,RASun,DecSun,LST,      &
        AzSun,ElSun,mjd,day)
 
-!  freq=nfreq*1.e6
-!  if(nfreq.eq.2) freq=1.8e6
-!  if(nfreq.eq.4) freq=3.5e6
-
-  call MoonDop(nyear,month,nday,uth,lon,lat,RAMoon,DecMoon,    &
+  call MoonDopJPL(nyear,month,nday,uth,lon,lat,RAMoon,DecMoon,    &
        LST,HA,AzMoon,ElMoon,vr,dist)
 
 ! Compute spatial polarization offset
diff --git a/lib/astro0.f90 b/lib/astro0.f90
index 0075e1ffd..f9ce47bfb 100644
--- a/lib/astro0.f90
+++ b/lib/astro0.f90
@@ -1,14 +1,16 @@
 subroutine astro0(nyear,month,nday,uth8,freq8,mygrid,hisgrid,              &
      AzSun8,ElSun8,AzMoon8,ElMoon8,AzMoonB8,ElMoonB8,ntsky,ndop,ndop00,    &
      dbMoon8,RAMoon8,DecMoon8,HA8,Dgrd8,sd8,poloffset8,xnr8,dfdt,dfdt0,    &
-     width1,width2,w501,w502,xlst8,techo8)
+     width1,width2,xlst8,techo8)
 
   parameter (DEGS=57.2957795130823d0)
   character*6 mygrid,hisgrid
   real*8 AzSun8,ElSun8,AzMoon8,ElMoon8,AzMoonB8,ElMoonB8
   real*8 dbMoon8,RAMoon8,DecMoon8,HA8,Dgrd8,xnr8,dfdt,dfdt0,dt
-  real*8 sd8,poloffset8,day8,width1,width2,w501,w502,xlst8
+  real*8 sd8,poloffset8,day8,width1,width2,xlst8
   real*8 uth8,techo8,freq8
+  real*8 xl,b
+  common/librcom/xl(2),b(2)
   data uth8z/0.d0/
   save
 
@@ -19,18 +21,19 @@ subroutine astro0(nyear,month,nday,uth8,freq8,mygrid,hisgrid,              &
        day,xlon2,xlat2,xlst,techo)
   AzMoonB8=AzMoon
   ElMoonB8=ElMoon
+  xl2=xl(1)
+  xl2a=xl(2)
+  b2=b(1)
+  b2a=b(2)
   call astro(nyear,month,nday,uth,freq8,mygrid,1,1,                  &
        AzSun,ElSun,AzMoon,ElMoon,ntsky,doppler00,doppler,            &
        dbMoon,RAMoon,DecMoon,HA,Dgrd,sd,poloffset,xnr,               &
        day,xlon1,xlat1,xlst,techo)
+  xl1=xl(1)
+  xl1a=xl(2)
+  b1=b(1)
+  b1a=b(2)
 
-  day8=day
-  xlst8=xlst
-  techo8=techo
-  call tm2(day8,xlat1,xlon1,xl1,b1)
-  call tm2(day8,xlat2,xlon2,xl2,b2)
-  call tm2(day8+1.d0/1440.0,xlat1,xlon1,xl1a,b1a)
-  call tm2(day8+1.d0/1440.0,xlat2,xlon2,xl2a,b2a)
   fghz=1.d-9*freq8
   dldt1=DEGS*(xl1a-xl1)
   dbdt1=DEGS*(b1a-b1)
@@ -41,14 +44,6 @@ subroutine astro0(nyear,month,nday,uth8,freq8,mygrid,hisgrid,              &
   rate2=sqrt((dldt1+dldt2)**2 + (dbdt1+dbdt2)**2)
   width2=0.5*6741*fghz*rate2
 
-  fbend=0.7
-  a2=0.0045*log(fghz/fbend)/log(1.05)
-  if(fghz.lt.fbend) a2=0.0
-  f50=0.19 * (fghz/fbend)**a2
-  if(f50.gt.1.0) f50=1.0
-  w501=f50*width1
-  w502=f50*width2
-
   AzSun8=AzSun
   ElSun8=ElSun
   AzMoon8=AzMoon
diff --git a/lib/astrosub.f90 b/lib/astrosub.f90
index 10e717e1d..85eb86244 100644
--- a/lib/astrosub.f90
+++ b/lib/astrosub.f90
@@ -6,12 +6,16 @@ subroutine astrosub(nyear,month,nday,uth8,freq8,mygrid,hisgrid,          &
   implicit real*8 (a-h,o-z)
   character*6 mygrid,hisgrid,c1*1
   character*6 AzElFileName*(*),jpleph*(*)
+  character*80 jpleph_file_name
   logical*1 bTx
+  common/jplcom/jpleph_file_name
+
+  jpleph_file_name=jpleph
 
   call astro0(nyear,month,nday,uth8,freq8,mygrid,hisgrid,                &
      AzSun8,ElSun8,AzMoon8,ElMoon8,AzMoonB8,ElMoonB8,ntsky,ndop,ndop00,  &
      dbMoon8,RAMoon8,DecMoon8,HA8,Dgrd8,sd8,poloffset8,xnr8,dfdt,dfdt0,  &
-     width1,width2,w501,w502,xlst8,techo8)
+     width1,width2,xlst8,techo8)
 
   imin=60*uth8
   isec=3600*uth8
diff --git a/lib/dcoord.f90 b/lib/dcoord.f90
deleted file mode 100644
index 683be0a0a..000000000
--- a/lib/dcoord.f90
+++ /dev/null
@@ -1,40 +0,0 @@
-SUBROUTINE DCOORD(A0,B0,AP,BP,A1,B1,A2,B2)
-
-  implicit real*8 (a-h,o-z)
-! Examples:
-! 1. From ha,dec to az,el:
-!      call coord(pi,pio2-lat,0.,lat,ha,dec,az,el)
-! 2. From az,el to ha,dec:
-!      call coord(pi,pio2-lat,0.,lat,az,el,ha,dec)
-! 3. From ra,dec to l,b
-!      call coord(4.635594495,-0.504691042,3.355395488,0.478220215,
-!        ra,dec,l,b)
-! 4. From l,b to ra,dec
-!      call coord(1.705981071d0,-1.050357016d0,2.146800277d0,
-!        0.478220215d0,l,b,ra,dec)
-! 5. From ecliptic latitude (eb) and longitude (el) to ra, dec:
-!      call coord(0.d0,0.d0,-pio2,pio2-23.443*pi/180,ra,dec,el,eb)
-
-  SB0=sin(B0)
-  CB0=cos(B0)
-  SBP=sin(BP)
-  CBP=cos(BP)
-  SB1=sin(B1)
-  CB1=cos(B1)
-  SB2=SBP*SB1 + CBP*CB1*cos(AP-A1)
-  CB2=SQRT(1.D0-SB2**2)
-  B2=atan(SB2/CB2)
-  SAA=sin(AP-A1)*CB1/CB2
-  CAA=(SB1-SB2*SBP)/(CB2*CBP)
-  CBB=SB0/CBP
-  SBB=sin(AP-A0)*CB0
-  SA2=SAA*CBB-CAA*SBB
-  CA2=CAA*CBB+SAA*SBB
-  TA2O2=0.0 !Shut up compiler warnings. -db
-  IF(CA2.LE.0.D0) TA2O2=(1.D0-CA2)/SA2 
-  IF(CA2.GT.0.D0) TA2O2=SA2/(1.D0+CA2)
-  A2=2.D0*atan(TA2O2)
-  IF(A2.LT.0.D0) A2=A2+6.2831853071795864D0
-  
-  RETURN
-END SUBROUTINE DCOORD
diff --git a/lib/dot.f90 b/lib/dot.f90
deleted file mode 100644
index a68c5bd13..000000000
--- a/lib/dot.f90
+++ /dev/null
@@ -1,11 +0,0 @@
-real*8 function dot(x,y)
-
-  real*8 x(3),y(3)
-
-  dot=0.d0
-  do i=1,3
-     dot=dot+x(i)*y(i)
-  enddo
-
-  return
-end function dot
diff --git a/lib/ephem.f90 b/lib/ephem.f90
new file mode 100644
index 000000000..75efef533
--- /dev/null
+++ b/lib/ephem.f90
@@ -0,0 +1,87 @@
+subroutine ephem(mjd0,dut,east_long,geodetic_lat,height,nspecial,     &
+     RA,Dec,Az,El,techo,dop,fspread_1GHz,vr)
+
+  implicit real*8 (a-h,o-z)
+  real*8 jd                      !Time of observationa as a Julian Date
+  real*8 mjd,mjd0                !Modified Julian Date
+  real*8 prec(3,3)               !Precession matrix, J2000 to Date
+  real*8 rmatn(3,3)              !Nutation matrix
+  real*8 rme2000(6)              !Vector from Earth center to Moon, JD2000
+  real*8 rmeDate(6)              !Vector from Earth center to Moon at Date
+  real*8 rmeTrue(6)              !Include nutation
+  real*8 raeTrue(6)              !Vector from Earth center to Obs at Date
+  real*8 rmaTrue(6)              !Vector from Obs to Moon at Date
+  logical km,bary,jplok          !Set km=.true. to get km, km/s from ephemeris
+  common/stcomx/km,bary,pvsun(6) !Common used in JPL subroutines
+  common/librcom/xl(2),b(2)
+
+  twopi=8.d0*atan(1.d0)          !Define some constants
+  rad=360.d0/twopi
+  clight=2.99792458d5
+  au2km=0.1495978706910000d9
+  pi=0.5d0*twopi
+  pio2=0.5d0*pi
+  km=.true.
+  freq=1000.0d6
+
+  do jj=1,2
+     mjd=mjd0
+     if(jj.eq.1) mjd=mjd - 1.d0/1440.d0
+     djutc=mjd
+     jd=2400000.5d0 + mjd
+     djtt=mjd + sla_DTT(jd)/86400.d0
+     ttjd=jd + sla_DTT(jd)/86400.d0
+
+!     inquire(file='JPLEPH',exist=jplok)
+!     if(jplok) then
+     if(nspecial.ne.8) then
+        call pleph(ttjd,10,3,rme2000)            !RME (J2000) from JPL ephemeris
+
+        year=2000.d0 + (jd-2451545.d0)/365.25d0
+        call sla_PREC (2000.0d0, year, prec)     !Get precession matrix
+        rmeDate(1:3)=matmul(prec,rme2000(1:3))   !Moon geocentric xyz at Date
+        rmeDate(4:6)=matmul(prec,rme2000(4:6))   !Moon geocentric vel at Date
+     else
+        call sla_DMOON(djtt,rmeDate)             !No JPL ephemeris, use DMOON
+        rmeDate=rmeDate*au2km
+     endif
+
+     if(nspecial.eq.7) then
+        rmeTrue=rmeDate
+     else
+!Nutation to true equinox of Date
+        call sla_NUT(djtt,rmatn)
+        call sla_DMXV(rmatn,rmeDate,rmeTrue)
+        call sla_DMXV(rmatn,rmeDate(4),rmeTrue(4))
+     endif
+
+! Local Apparent Sidereal Time:
+     djut1=djutc + dut/86400.d0
+     if(nspecial.eq.6) djut1=djutc
+     xlast=sla_DRANRM(sla_GMST(djut1) + sla_EQEQX(djtt) + east_long)
+     call sla_PVOBS(geodetic_lat,height,xlast,raeTrue)
+     rmaTrue=rmeTrue - raeTrue*au2km
+
+     if(nspecial.ne.2) then
+! Allow for planetary aberration
+        tl=499.004782D0*SQRT(rmaTrue(1)**2 + rmaTrue(2)**2 + rmaTrue(3)**2)
+        rmaTrue(1:3)=rmaTrue(1:3)-tl*rmaTrue(4:6)/au2km
+     endif
+
+!Topocentric RA, Dec, dist, velocity
+     call sla_DC62S(rmaTrue,RA,Dec,dist,RAdot,DECdot,vr)
+     dop=-2.d0 * freq * vr/clight                    !EME doppler shift
+     techo=2.d0*dist/clight                          !Echo delay time (s)
+     call libration(jd,RA,Dec,xl(jj),b(jj))
+  enddo
+
+  fspread_1GHz=0.0d0
+  dldt=57.2957795131*(xl(2)-xl(1))
+  dbdt=57.2957795131*(b(2)-b(1))
+  rate=sqrt((2*dldt)**2 + (2*dbdt)**2)
+  fspread_1GHz=0.5*6741*rate
+
+  call sla_DE2H(xlast-RA,Dec,geodetic_lat,Az,El)
+
+  return
+end subroutine ephem
diff --git a/lib/geocentric.f90 b/lib/geocentric.f90
deleted file mode 100644
index 11ea7cb60..000000000
--- a/lib/geocentric.f90
+++ /dev/null
@@ -1,17 +0,0 @@
-subroutine geocentric(alat,elev,hlt,erad)
-
-  implicit real*8 (a-h,o-z)
-
-! IAU 1976 flattening f, equatorial radius a
-  f = 1.d0/298.257d0
-  a = 6378140.d0
-  c = 1.d0/sqrt(1.d0 + (-2.d0 + f)*f*sin(alat)*sin(alat))
-  arcf = (a*c + elev)*cos(alat)
-  arsf = (a*(1.d0 - f)*(1.d0 - f)*c + elev)*sin(alat)
-  hlt = datan2(arsf,arcf)
-  erad = sqrt(arcf*arcf + arsf*arsf)
-  erad = 0.001d0*erad
-
-  return
-end subroutine geocentric
-
diff --git a/lib/jplsubs.f b/lib/jplsubs.f
new file mode 100644
index 000000000..673690ec5
--- /dev/null
+++ b/lib/jplsubs.f
@@ -0,0 +1,899 @@
+C++++++++++++++++++++++++
+C
+      SUBROUTINE FSIZER1(NRECL,KSIZE,NRFILE,NAMFIL)
+C
+C++++++++++++++++++++++++
+C
+C   Version 1.0 uses the INQUIRE statement to find out the the record length 
+C   of the direct access file before opening it.  This procedure is non-standard, 
+C   but seems to work for VAX machines. 
+C
+C  THE SUBROUTINE ALSO SETS THE VALUES OF  NRECL, NRFILE, AND NAMFIL.
+
+C  *****************************************************************
+C  *****************************************************************
+C
+C  THE PARAMETERS NAMFIL, NRECL, AND NRFILE ARE TO BE SET BY THE USER
+C
+C  *****************************************************************
+
+C  NAMFIL IS THE EXTERNAL NAME OF THE BINARY EPHEMERIS FILE
+
+      CHARACTER*80  NAMFIL
+
+c      NAMFIL='JPLEPH'
+
+C  *****************************************************************
+
+C  NRECL=1 IF "RECL" IN THE OPEN STATEMENT IS THE RECORD LENGTH IN S.P. WORDS
+C  NRECL=4 IF "RECL" IN THE OPEN STATEMENT IS THE RECORD LENGTH IN BYTES
+C  (for a VAX, it is probably 1)
+C
+      NRECL=4
+
+C  *****************************************************************
+
+C  NRFILE IS THE INTERNAL UNIT NUMBER USED FOR THE EPHEMERIS FILE
+
+c      NRFILE=12
+
+C  *****************************************************************
+
+C   FIND THE RECORD SIZE USING THE INQUIRE STATEMENT  
+
+
+c      IRECSZ=0
+
+      INQUIRE(FILE=NAMFIL,RECL=IRECSZ)
+
+C IF 'INQUIRE' DOES NOT WORK, USUALLY IRECSZ WILL BE LEFT AT 0 
+
+      IF(IRECSZ .LE. 0) write(*,*)
+     . ' INQUIRE STATEMENT PROBABLY DID NOT WORK'
+
+      KSIZE=IRECSZ/NRECL
+
+      RETURN
+
+      END
+C++++++++++++++++++++++++
+C
+      SUBROUTINE FSIZER2(NRECL,KSIZE,NRFILE,NAMFIL)
+C
+C++++++++++++++++++++++++
+C  THIS SUBROUTINE OPENS THE FILE, 'NAMFIL', WITH A PHONY RECORD LENGTH, READS 
+C  THE FIRST RECORD, AND USES THE INFO TO COMPUTE KSIZE, THE NUMBER OF SINGLE 
+C  PRECISION WORDS IN A RECORD.  
+C
+C  THE SUBROUTINE ALSO SETS THE VALUES OF  NRECL, NRFILE, AND NAMFIL.
+
+      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
+
+      SAVE
+
+      INTEGER OLDMAX
+      PARAMETER (OLDMAX = 400)
+      INTEGER NMAX
+      PARAMETER (NMAX = 1000)
+      CHARACTER*6 TTL(14,3),CNAM(NMAX)
+      CHARACTER*80 NAMFIL,jpleph_file_name
+      DIMENSION SS(3)
+      INTEGER IPT(3,13)
+      common/jplcom/jpleph_file_name
+
+C  *****************************************************************
+C  *****************************************************************
+C
+C  THE PARAMETERS NRECL, NRFILE, AND NAMFIL ARE TO BE SET BY THE USER
+C
+C  *****************************************************************
+
+C  NRECL=1 IF "RECL" IN THE OPEN STATEMENT IS THE RECORD LENGTH IN S.P. WORDS
+C  NRECL=4 IF "RECL" IN THE OPEN STATEMENT IS THE RECORD LENGTH IN BYTES
+C  (for UNIX, it is probably 4)
+C
+      NRECL=4
+
+C  NRFILE IS THE INTERNAL UNIT NUMBER USED FOR THE EPHEMERIS FILE
+
+      NRFILE=12
+
+C  NAMFIL IS THE EXTERNAL NAME OF THE BINARY EPHEMERIS FILE
+
+!      NAMFIL='JPLEPH' 
+      NAMFIL=jpleph_file_name
+
+C  *****************************************************************
+C  *****************************************************************
+
+C  **  OPEN THE DIRECT-ACCESS FILE AND GET THE POINTERS IN ORDER TO 
+C  **  DETERMINE THE SIZE OF THE EPHEMERIS RECORD
+
+      MRECL=NRECL*1000
+
+        OPEN(NRFILE,
+     *       FILE=NAMFIL,
+     *       ACCESS='DIRECT',
+     *       FORM='UNFORMATTED',
+     *       RECL=MRECL,
+     *       STATUS='OLD')
+
+      READ(NRFILE,REC=1)TTL,(CNAM(K),K=1,OLDMAX),SS,NCON,AU,EMRAT,
+     & ((IPT(I,J),I=1,3),J=1,12),NUMDE,(IPT(I,13),I=1,3)
+
+      CLOSE(NRFILE)
+
+C  FIND THE NUMBER OF EPHEMERIS COEFFICIENTS FROM THE POINTERS
+
+      KMX = 0
+      KHI = 0
+
+      DO I = 1,13
+         IF (IPT(1,I) .GT. KMX) THEN
+            KMX = IPT(1,I)
+            KHI = I
+         ENDIF
+      ENDDO
+
+      ND = 3
+      IF (KHI .EQ. 12) ND=2
+
+      KSIZE = 2*(IPT(1,KHI)+ND*IPT(2,KHI)*IPT(3,KHI)-1)
+
+      RETURN
+
+      END
+C++++++++++++++++++++++++
+C
+      SUBROUTINE FSIZER3(NRECL,KSIZE,NRFILE,NAMFIL)
+C
+C++++++++++++++++++++++++
+C
+C  THE SUBROUTINE SETS THE VALUES OF  NRECL, KSIZE, NRFILE, AND NAMFIL.
+
+      SAVE
+      CHARACTER*80 NAMFIL,jpleph_file_name
+      common/jplcom/jpleph_file_name
+
+C  *****************************************************************
+C  *****************************************************************
+C
+C  THE PARAMETERS NRECL, NRFILE, AND NAMFIL ARE TO BE SET BY THE USER
+
+C  *****************************************************************
+
+C  NRECL=1 IF "RECL" IN THE OPEN STATEMENT IS THE RECORD LENGTH IN S.P. WORDS
+C  NRECL=4 IF "RECL" IN THE OPEN STATEMENT IS THE RECORD LENGTH IN BYTES
+
+       NRECL=4
+
+C  *****************************************************************
+
+C  NRFILE IS THE INTERNAL UNIT NUMBER USED FOR THE EPHEMERIS FILE (DEFAULT: 12)
+
+      NRFILE=12
+
+C  *****************************************************************
+
+C  NAMFIL IS THE EXTERNAL NAME OF THE BINARY EPHEMERIS FILE
+
+!      NAMFIL='JPLEPH'
+      NAMFIL=jpleph_file_name
+
+C  *****************************************************************
+
+C  KSIZE must be set by the user according to the ephemeris to be read
+
+C  For  de200, set KSIZE to 1652
+C  For  de405, set KSIZE to 2036
+C  For  de406, set KSIZE to 1456
+C  For  de414, set KSIZE to 2036
+C  For  de418, set KSIZE to 2036
+C  For  de421, set KSIZE to 2036
+C  For  de422, set KSIZE to 2036
+C  For  de423, set KSIZE to 2036
+C  For  de424, set KSIZE to 2036
+C  For  de430, set KSIZE to 2036
+
+      KSIZE = 2036
+
+C  *******************************************************************
+
+      RETURN
+
+      END
+C++++++++++++++++++++++++++
+C
+      SUBROUTINE PLEPH ( ET, NTARG, NCENT, RRD )
+C
+C++++++++++++++++++++++++++
+C  NOTE : Over the years, different versions of PLEPH have had a fifth argument:
+C  sometimes, an error return statement number; sometimes, a logical denoting
+C  whether or not the requested date is covered by the ephemeris.  We apologize
+C  for this inconsistency; in this present version, we use only the four necessary 
+C  arguments and do the testing outside of the subroutine.
+C
+C     THIS SUBROUTINE READS THE JPL PLANETARY EPHEMERIS
+C     AND GIVES THE POSITION AND VELOCITY OF THE POINT 'NTARG'
+C     WITH RESPECT TO 'NCENT'.
+C
+C     CALLING SEQUENCE PARAMETERS:
+C
+C       ET = D.P. JULIAN EPHEMERIS DATE AT WHICH INTERPOLATION
+C            IS WANTED.
+C
+C       ** NOTE THE ENTRY DPLEPH FOR A DOUBLY-DIMENSIONED TIME **
+C          THE REASON FOR THIS OPTION IS DISCUSSED IN THE 
+C          SUBROUTINE STATE
+C
+C     NTARG = INTEGER NUMBER OF 'TARGET' POINT.
+C
+C     NCENT = INTEGER NUMBER OF CENTER POINT.
+C
+C            THE NUMBERING CONVENTION FOR 'NTARG' AND 'NCENT' IS:
+C
+C                1 = MERCURY           8 = NEPTUNE
+C                2 = VENUS             9 = PLUTO
+C                3 = EARTH            10 = MOON
+C                4 = MARS             11 = SUN
+C                5 = JUPITER          12 = SOLAR-SYSTEM BARYCENTER
+C                6 = SATURN           13 = EARTH-MOON BARYCENTER
+C                7 = URANUS           14 = NUTATIONS (LONGITUDE AND OBLIQ)
+C                            15 = LIBRATIONS, IF ON EPH FILE
+C
+C             (IF NUTATIONS ARE WANTED, SET NTARG = 14. FOR LIBRATIONS,
+C              SET NTARG = 15. SET NCENT=0.)
+C
+C      RRD = OUTPUT 6-WORD D.P. ARRAY CONTAINING POSITION AND VELOCITY
+C            OF POINT 'NTARG' RELATIVE TO 'NCENT'. THE UNITS ARE AU AND
+C            AU/DAY. FOR LIBRATIONS THE UNITS ARE RADIANS AND RADIANS
+C            PER DAY. IN THE CASE OF NUTATIONS THE FIRST FOUR WORDS OF
+C            RRD WILL BE SET TO NUTATIONS AND RATES, HAVING UNITS OF
+C            RADIANS AND RADIANS/DAY.
+C
+C            The option is available to have the units in km and km/sec.
+C            For this, set km=.true. in the STCOMX common block.
+C
+
+      IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+
+      INTEGER NMAX
+      PARAMETER (NMAX = 1000)
+
+      DIMENSION RRD(6),ET2Z(2),ET2(2),PV(6,13)
+      DIMENSION PVST(6,11),PNUT(4)
+      DIMENSION SS(3),CVAL(NMAX),PVSUN(6),ZIPS(2)
+      DATA ZIPS/2*0.d0/
+
+      LOGICAL BSAVE,KM,BARY
+      LOGICAL FIRST
+      DATA FIRST/.TRUE./
+
+      INTEGER LIST(12),IPT(39),DENUM
+      COMMON/EPHHDR/CVAL,SS,AU,EMRAT,DENUM,NCON,IPT
+      COMMON/STCOMX/KM,BARY,PVSUN
+      common/jplcom/jpleph_file_name
+
+C     INITIALIZE ET2 FOR 'STATE' AND SET UP COMPONENT COUNT
+C
+      ET2(1)=ET
+      ET2(2)=0.D0
+      GO TO 11
+
+C     ENTRY POINT 'DPLEPH' FOR DOUBLY-DIMENSIONED TIME ARGUMENT 
+C          (SEE THE DISCUSSION IN THE SUBROUTINE STATE)
+
+      ENTRY DPLEPH(ET2Z,NTARG,NCENT,RRD)
+
+      ET2(1)=ET2Z(1)
+      ET2(2)=ET2Z(2)
+
+  11  IF(FIRST) CALL STATE(ZIPS,LIST,PVST,PNUT)
+      FIRST=.FALSE.
+
+  96  IF(NTARG .EQ. NCENT) RETURN
+
+      DO I=1,12
+        LIST(I)=0
+      ENDDO
+
+C     CHECK FOR NUTATION CALL
+
+      IF(NTARG.NE.14) GO TO 97
+        IF(IPT(35).GT.0) THEN
+          LIST(11)=2
+          CALL STATE(ET2,LIST,PVST,PNUT)
+          DO I=1,4
+            RRD(I)=PNUT(I)
+          ENDDO
+          RRD(5) = 0.d0
+          RRD(6) = 0.d0
+          RETURN
+        ELSE
+          DO I=1,4
+            RRD(I)=0.d0
+          ENDDO
+          WRITE(6,297)
+  297     FORMAT(' *****  NO NUTATIONS ON THE EPHEMERIS FILE  *****')
+          STOP
+        ENDIF
+
+C     CHECK FOR LIBRATIONS
+
+  97  CONTINUE
+      DO I=1,6
+        RRD(I)=0.d0
+      ENDDO
+
+      IF(NTARG.NE.15) GO TO 98
+        IF(IPT(38).GT.0) THEN
+          LIST(12)=2
+          CALL STATE(ET2,LIST,PVST,PNUT)
+          DO I=1,6
+            RRD(I)=PVST(I,11)
+          ENDDO
+          RETURN
+        ELSE
+          WRITE(6,298)
+  298     FORMAT(' *****  NO LIBRATIONS ON THE EPHEMERIS FILE  *****')
+          STOP
+        ENDIF
+
+C       FORCE BARYCENTRIC OUTPUT BY 'STATE'
+
+  98  BSAVE=BARY
+      BARY=.TRUE.
+
+C       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
+
+C       MAKE CALL TO STATE
+
+      CALL STATE(ET2,LIST,PVST,PNUT)
+
+      DO I=1,10
+        DO J = 1,6
+          PV(J,I) = PVST(J,I)
+        ENDDO
+      ENDDO
+
+      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) = PVST(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)=PVST(I,3)-PVST(I,10)/(1.D0+EMRAT)
+        ENDDO
+      ENDIF
+
+      IF(LIST(10) .EQ. 2) THEN
+        DO I=1,6
+          PV(I,10) = PV(I,3)+PVST(I,10)
+        ENDDO
+      ENDIF
+
+  99  DO I=1,6
+        RRD(I)=PV(I,NTARG)-PV(I,NCENT)
+      ENDDO
+
+      BARY=BSAVE
+
+      RETURN
+      END
+C+++++++++++++++++++++++++++++++++
+C
+      SUBROUTINE INTERP(BUF,T,NCF,NCM,NA,IFL,PV)
+C
+C+++++++++++++++++++++++++++++++++
+C
+C     THIS SUBROUTINE DIFFERENTIATES AND INTERPOLATES A
+C     SET OF CHEBYSHEV COEFFICIENTS TO GIVE POSITION AND VELOCITY
+C
+C     CALLING SEQUENCE PARAMETERS:
+C
+C       INPUT:
+C
+C         BUF   1ST LOCATION OF ARRAY OF D.P. CHEBYSHEV COEFFICIENTS OF POSITION
+C
+C           T   T(1) IS DP FRACTIONAL TIME IN INTERVAL COVERED BY
+C               COEFFICIENTS AT WHICH INTERPOLATION IS WANTED
+C               (0 .LE. T(1) .LE. 1).  T(2) IS DP LENGTH OF WHOLE
+C               INTERVAL IN INPUT TIME UNITS.
+C
+C         NCF   # OF COEFFICIENTS PER COMPONENT
+C
+C         NCM   # OF COMPONENTS PER SET OF COEFFICIENTS
+C
+C          NA   # OF SETS OF COEFFICIENTS IN FULL ARRAY
+C               (I.E., # OF SUB-INTERVALS IN FULL INTERVAL)
+C
+C          IFL  INTEGER FLAG: =1 FOR POSITIONS ONLY
+C                             =2 FOR POS AND VEL
+C
+C
+C       OUTPUT:
+C
+C         PV   INTERPOLATED QUANTITIES REQUESTED.  DIMENSION
+C               EXPECTED IS PV(NCM,IFL), DP.
+C
+C
+      IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+C
+      SAVE
+C
+      DOUBLE PRECISION BUF(NCF,NCM,*),T(2),PV(NCM,*),PC(18),VC(18)
+
+C
+      DATA NP/2/
+      DATA NV/3/
+      DATA TWOT/0.D0/
+      DATA PC(1),PC(2)/1.D0,0.D0/
+      DATA VC(2)/1.D0/
+C
+C       ENTRY POINT. GET CORRECT SUB-INTERVAL NUMBER FOR THIS SET
+C       OF COEFFICIENTS AND THEN GET NORMALIZED CHEBYSHEV TIME
+C       WITHIN THAT SUBINTERVAL.
+C
+      DNA=DBLE(NA)
+      DT1=DINT(T(1))
+      TEMP=DNA*T(1)
+      L=IDINT(TEMP-DT1)+1
+
+C         TC IS THE NORMALIZED CHEBYSHEV TIME (-1 .LE. TC .LE. 1)
+
+      TC=2.D0*(DMOD(TEMP,1.D0)+DT1)-1.D0
+
+C       CHECK TO SEE WHETHER CHEBYSHEV TIME HAS CHANGED,
+C       AND COMPUTE NEW POLYNOMIAL VALUES IF IT HAS.
+C       (THE ELEMENT PC(2) IS THE VALUE OF T1(TC) AND HENCE
+C       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
+C
+C       BE SURE THAT AT LEAST 'NCF' POLYNOMIALS HAVE BEEN EVALUATED
+C       AND ARE STORED IN THE ARRAY 'PC'.
+C
+      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
+C
+C       INTERPOLATE TO GET POSITION FOR EACH COMPONENT
+C
+      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
+C
+C       IF VELOCITY INTERPOLATION IS WANTED, BE SURE ENOUGH
+C       DERIVATIVE POLYNOMIALS HAVE BEEN GENERATED AND STORED.
+C
+      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
+C
+C       INTERPOLATE TO GET VELOCITY FOR EACH COMPONENT
+C
+      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
+C
+      RETURN
+C
+      END
+
+C+++++++++++++++++++++++++
+C
+      SUBROUTINE SPLIT(TT,FR)
+C
+C+++++++++++++++++++++++++
+C
+C     THIS SUBROUTINE BREAKS A D.P. NUMBER INTO A D.P. INTEGER
+C     AND A D.P. FRACTIONAL PART.
+C
+C     CALLING SEQUENCE PARAMETERS:
+C
+C       TT = D.P. INPUT NUMBER
+C
+C       FR = D.P. 2-WORD OUTPUT ARRAY.
+C            FR(1) CONTAINS INTEGER PART
+C            FR(2) CONTAINS FRACTIONAL PART
+C
+C            FOR NEGATIVE INPUT NUMBERS, FR(1) CONTAINS THE NEXT
+C            MORE NEGATIVE INTEGER; FR(2) CONTAINS A POSITIVE FRACTION.
+C
+C       CALLING SEQUENCE DECLARATIONS
+C
+      IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+
+      DIMENSION FR(2)
+
+C       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
+
+C       MAKE ADJUSTMENTS FOR NEGATIVE INPUT NUMBER
+
+      FR(1)=FR(1)-1.D0
+      FR(2)=FR(2)+1.D0
+
+      RETURN
+
+      END
+
+
+C++++++++++++++++++++++++++++++++
+C
+      SUBROUTINE STATE(ET2,LIST,PV,PNUT)
+C
+C++++++++++++++++++++++++++++++++
+C
+C THIS SUBROUTINE READS AND INTERPOLATES THE JPL PLANETARY EPHEMERIS FILE
+C
+C     CALLING SEQUENCE PARAMETERS:
+C
+C     INPUT:
+C
+C         ET2   DP 2-WORD JULIAN EPHEMERIS EPOCH AT WHICH INTERPOLATION
+C               IS WANTED.  ANY COMBINATION OF ET2(1)+ET2(2) WHICH FALLS
+C               WITHIN THE TIME SPAN ON THE FILE IS A PERMISSIBLE EPOCH.
+C
+C                A. FOR EASE IN PROGRAMMING, THE USER MAY PUT THE
+C                   ENTIRE EPOCH IN ET2(1) AND SET ET2(2)=0.
+C
+C                B. FOR MAXIMUM INTERPOLATION ACCURACY, SET ET2(1) =
+C                   THE MOST RECENT MIDNIGHT AT OR BEFORE INTERPOLATION
+C                   EPOCH AND SET ET2(2) = FRACTIONAL PART OF A DAY
+C                   ELAPSED BETWEEN ET2(1) AND EPOCH.
+C
+C                C. AS AN ALTERNATIVE, IT MAY PROVE CONVENIENT TO SET
+C                   ET2(1) = SOME FIXED EPOCH, SUCH AS START OF INTEGRATION,
+C                   AND ET2(2) = ELAPSED INTERVAL BETWEEN THEN AND EPOCH.
+C
+C        LIST   12-WORD INTEGER ARRAY SPECIFYING WHAT INTERPOLATION
+C               IS WANTED FOR EACH OF THE BODIES ON THE FILE.
+C
+C                         LIST(I)=0, NO INTERPOLATION FOR BODY I
+C                                =1, POSITION ONLY
+C                                =2, POSITION AND VELOCITY
+C
+C               THE DESIGNATION OF THE ASTRONOMICAL BODIES BY I IS:
+C
+C                         I = 1: MERCURY
+C                           = 2: VENUS
+C                           = 3: EARTH-MOON BARYCENTER
+C                           = 4: MARS
+C                           = 5: JUPITER
+C                           = 6: SATURN
+C                           = 7: URANUS
+C                           = 8: NEPTUNE
+C                           = 9: PLUTO
+C                           =10: GEOCENTRIC MOON
+C                           =11: NUTATIONS IN LONGITUDE AND OBLIQUITY
+C                           =12: LUNAR LIBRATIONS (IF ON FILE)
+C
+C     OUTPUT:
+C
+C          PV   DP 6 X 11 ARRAY THAT WILL CONTAIN REQUESTED INTERPOLATED
+C               QUANTITIES (OTHER THAN NUTATION, STOERD IN PNUT).  
+C               THE BODY SPECIFIED BY LIST(I) WILL HAVE ITS
+C               STATE IN THE ARRAY STARTING AT PV(1,I).  
+C               (ON ANY GIVEN CALL, ONLY THOSE WORDS IN 'PV' WHICH ARE 
+C                AFFECTED BY THE  FIRST 10 'LIST' ENTRIES, AND BY LIST(12)
+C                IF LIBRATIONS ARE ON THE FILE, ARE SET.  
+C                THE REST OF THE 'PV' ARRAYIS UNTOUCHED.)  
+C               THE ORDER OF COMPONENTS STARTING IN PV(1,I) IS: X,Y,Z,DX,DY,DZ.
+C
+C               ALL OUTPUT VECTORS ARE REFERENCED TO THE EARTH MEAN
+C               EQUATOR AND EQUINOX OF J2000 IF THE DE NUMBER IS 200 OR
+C               GREATER; OF B1950 IF THE DE NUMBER IS LESS THAN 200. 
+C
+C               THE MOON STATE IS ALWAYS GEOCENTRIC; THE OTHER NINE STATES 
+C               ARE EITHER HELIOCENTRIC OR SOLAR-SYSTEM BARYCENTRIC, 
+C               DEPENDING ON THE SETTING OF COMMON FLAGS (SEE BELOW).
+C
+C               LUNAR LIBRATIONS, IF ON FILE, ARE PUT INTO PV(K,11) IF
+C               LIST(12) IS 1 OR 2.
+C
+C         NUT   DP 4-WORD ARRAY THAT WILL CONTAIN NUTATIONS AND RATES,
+C               DEPENDING ON THE SETTING OF LIST(11).  THE ORDER OF
+C               QUANTITIES IN NUT IS:
+C
+C                        D PSI  (NUTATION IN LONGITUDE)
+C                        D EPSILON (NUTATION IN OBLIQUITY)
+C                        D PSI DOT
+C                        D EPSILON DOT
+C
+C           *   STATEMENT # FOR ERROR RETURN, IN CASE OF EPOCH OUT OF
+C               RANGE OR I/O ERRORS.
+C
+C     COMMON AREA STCOMX:
+C
+C          KM   LOGICAL FLAG DEFINING PHYSICAL UNITS OF THE OUTPUT
+C               STATES. KM = .TRUE., KM AND KM/SEC
+C                          = .FALSE., AU AND AU/DAY
+C               DEFAULT VALUE = .FALSE.  (KM DETERMINES TIME UNIT
+C               FOR NUTATIONS AND LIBRATIONS.  ANGLE UNIT IS ALWAYS RADIANS.)
+C
+C        BARY   LOGICAL FLAG DEFINING OUTPUT CENTER.
+C               ONLY THE 9 PLANETS ARE AFFECTED.
+C                        BARY = .TRUE. =\ CENTER IS SOLAR-SYSTEM BARYCENTER
+C                             = .FALSE. =\ CENTER IS SUN
+C               DEFAULT VALUE = .FALSE.
+C
+C       PVSUN   DP 6-WORD ARRAY CONTAINING THE BARYCENTRIC POSITION AND
+C               VELOCITY OF THE SUN.
+C
+C
+      IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+
+      SAVE
+
+      INTEGER OLDMAX
+      PARAMETER ( OLDMAX = 400)
+      INTEGER NMAX
+      PARAMETER ( NMAX = 1000)
+
+      DIMENSION ET2(2),PV(6,11),PNUT(4),T(2),PJD(4),BUF(1500),
+     . SS(3),CVAL(NMAX),PVSUN(6)
+
+      INTEGER LIST(12),IPT(3,13)
+
+      LOGICAL FIRST
+      DATA FIRST/.TRUE./
+
+      CHARACTER*6 TTL(14,3),CNAM(NMAX)
+      CHARACTER*80 NAMFIL
+
+      LOGICAL KM,BARY
+
+      COMMON/EPHHDR/CVAL,SS,AU,EMRAT,NUMDE,NCON,IPT
+      COMMON/CHRHDR/CNAM,TTL
+      COMMON/STCOMX/KM,BARY,PVSUN
+
+C
+C       ENTRY POINT - 1ST TIME IN, GET POINTER DATA, ETC., FROM EPH FILE
+C
+      IF(FIRST) THEN
+        FIRST=.FALSE.
+
+C ************************************************************************
+C ************************************************************************
+
+C THE USER MUST SELECT ONE OF THE FOLLOWING BY DELETING THE 'C' IN COLUMN 1
+
+C ************************************************************************
+
+C        CALL FSIZER1(NRECL,KSIZE,NRFILE,NAMFIL)
+C        CALL FSIZER2(NRECL,KSIZE,NRFILE,NAMFIL)
+        CALL FSIZER3(NRECL,KSIZE,NRFILE,NAMFIL)
+
+      IF(NRECL .EQ. 0) WRITE(*,*)'  ***** FSIZER IS NOT WORKING *****'
+
+C ************************************************************************
+C ************************************************************************
+
+      IRECSZ=NRECL*KSIZE
+      NCOEFFS=KSIZE/2
+
+        OPEN(NRFILE,
+     *       FILE=NAMFIL,
+     *       ACCESS='DIRECT',
+     *       FORM='UNFORMATTED',
+     *       RECL=IRECSZ,
+     *       STATUS='OLD')
+
+      READ(NRFILE,REC=1)TTL,(CNAM(K),K=1,OLDMAX),SS,NCON,AU,EMRAT,
+     & ((IPT(I,J),I=1,3),J=1,12),NUMDE,(IPT(I,13),I=1,3)
+     & ,(CNAM(L),L=OLDMAX+1,NCON)
+
+      IF(NCON .LE. OLDMAX)THEN
+        READ(NRFILE,REC=2)(CVAL(I),I=1,OLDMAX)
+      ELSE
+        READ(NRFILE,REC=2)(CVAL(I),I=1,NCON)
+      ENDIF
+
+      NRL=0
+
+      ENDIF
+
+C       ********** 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)
+
+C       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
+
+C       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
+
+        tmp1 = DBLE(NR-3)*SS(3) + SS(1)
+        tmp2 = PJD(1) - tmp1
+        T(1) = (tmp2 + PJD(4))/SS(3)
+
+C       READ CORRECT RECORD IF NOT IN CORE
+
+      IF(NR.NE.NRL) THEN
+        NRL=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
+
+C   INTERPOLATE SSBARY SUN
+
+      CALL INTERP(BUF(IPT(1,11)),T,IPT(2,11),3,IPT(3,11),2,PVSUN)
+
+      DO I=1,6
+      PVSUN(I)=PVSUN(I)*AUFAC
+      ENDDO
+
+C   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))
+
+      DO J=1,6
+       IF(I.LE.9 .AND. .NOT.BARY) THEN
+       PV(J,I)=PV(J,I)*AUFAC-PVSUN(J)
+       ELSE
+       PV(J,I)=PV(J,I)*AUFAC
+       ENDIF
+      ENDDO
+
+   4  CONTINUE
+
+C       DO NUTATIONS IF REQUESTED (AND IF ON FILE)
+
+      IF(LIST(11).GT.0 .AND. IPT(2,12).GT.0)
+     * CALL INTERP(BUF(IPT(1,12)),T,IPT(2,12),2,IPT(3,12),
+     * LIST(11),PNUT)
+
+C       GET LIBRATIONS IF REQUESTED (AND IF ON FILE)
+
+      IF(LIST(12).GT.0 .AND. IPT(2,13).GT.0)
+     * CALL INTERP(BUF(IPT(1,13)),T,IPT(2,13),3,IPT(3,13),
+     * LIST(12),PV(1,11))
+
+      RETURN
+
+  98  WRITE(*,198)ET2(1)+ET2(2),SS(1),SS(2)
+ 198  FORMAT(' ***  Requested JED,',f12.2,
+     * ' not within ephemeris limits,',2f12.2,'  ***')
+
+      STOP
+
+   99 WRITE(*,'(2F12.2,A80)')ET2,'ERROR RETURN IN STATE'
+
+      STOP
+
+      END
+C+++++++++++++++++++++++++++++
+C
+      SUBROUTINE CONST(NAM,VAL,SSS,N)
+C
+C+++++++++++++++++++++++++++++
+C
+C     THIS ENTRY OBTAINS THE CONSTANTS FROM THE EPHEMERIS FILE
+C
+C     CALLING SEQEUNCE PARAMETERS (ALL OUTPUT):
+C
+C       NAM = CHARACTER*6 ARRAY OF CONSTANT NAMES
+C
+C       VAL = D.P. ARRAY OF VALUES OF CONSTANTS
+C
+C       SSS = D.P. JD START, JD STOP, STEP OF EPHEMERIS
+C
+C         N = INTEGER NUMBER OF ENTRIES IN 'NAM' AND 'VAL' ARRAYS
+C
+      IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+
+      SAVE
+
+      INTEGER NMAX
+      PARAMETER (NMAX = 1000)
+
+      CHARACTER*6 NAM(*),TTL(14,3),CNAM(NMAX)
+
+      DOUBLE PRECISION VAL(*),SSS(3),SS(3),CVAL(NMAX),ZIPS(2)
+      DOUBLE PRECISION PVST(6,11),PNUT(4)
+      DATA ZIPS/2*0.d0/
+
+      INTEGER IPT(3,13),DENUM,LIST(12)
+      logical first
+      data first/.true./
+
+      COMMON/EPHHDR/CVAL,SS,AU,EMRAT,DENUM,NCON,IPT
+      COMMON/CHRHDR/CNAM,TTL
+
+C  CALL STATE TO INITIALIZE THE EPHEMERIS AND READ IN THE CONSTANTS
+
+      IF(FIRST) CALL STATE(ZIPS,LIST,PVST,PNUT)
+      first=.false.
+
+      N=NCON
+
+      DO I=1,3
+        SSS(I)=SS(I)
+      ENDDO
+
+      DO I=1,N
+        NAM(I)=CNAM(I)
+        VAL(I)=CVAL(I)
+      ENDDO
+
+      RETURN
+
+      END
diff --git a/lib/libration.f90 b/lib/libration.f90
new file mode 100644
index 000000000..7330d0497
--- /dev/null
+++ b/lib/libration.f90
@@ -0,0 +1,38 @@
+subroutine libration(jd,RA,Dec,xl,b)
+
+! Compute optical libration of moon at jd: that is, the sub-observer 
+! point (xl,b) in selenographic coordinates.  RA and Dec are 
+! topocentric values.
+
+  implicit real*8 (a-h,o-z)
+  parameter (RADS=0.0174532925199433d0)
+  parameter (TWOPI=6.28318530717959d0)
+  real*8 jd,j2000,mjd,lambda
+
+  j2000=2451545.0d0
+  RA2000=RA
+  Dec2000=Dec
+  year=2000.0d0 + (jd-j2000)/365.25d0
+  mjd=jd-2400000.d0
+  call sla_PRECES('FK5',year,2000.d0,RA2000,Dec2000)
+  call sla_EQECL(RA2000,Dec2000,mjd,lambda,beta)
+  day=jd - j2000
+  t = day / 36525.d0
+  xi = 1.54242 * RADS
+  ft = 93.2720993 + 483202.0175273 * t - .0034029 * t * t
+  b= ft / 360
+  a = 360 * (b - floor(b))
+  if (a.lt.0.d0) a = 360 + a;
+  f=a/57.2957795131d0
+  omega=sla_dranrm(2.182439196d0 - t*33.7570446085d0 + t*t*3.6236526d-5)
+  w = lambda - omega
+  y = sin(w) * cos(beta) * cos(xi) - sin(beta) * sin(xi)
+  x = cos(w) * cos(beta)
+  a = sla_dranrm(atan2(y, x))
+  xl = a - f
+  if(xl.lt.-0.25*TWOPI) xl=xl+TWOPI             !Fix 'round the back' angles
+  if(xl.gt.0.25*TWOPI)  xl=xl-TWOPI
+  b = asin(-sin(w) * cos(beta) * sin(xi) - sin(beta) * cos(xi))
+
+  return
+end subroutine libration
diff --git a/lib/moon2.f90 b/lib/moon2.f90
deleted file mode 100644
index 8498267e5..000000000
--- a/lib/moon2.f90
+++ /dev/null
@@ -1,166 +0,0 @@
-subroutine moon2(y,m,Day,UT,lon,lat,RA,Dec,topRA,topDec,              &
-     LST,HA,Az,El,dist)
-
-  implicit none
-
-  integer y                           !Year
-  integer m                           !Month
-  integer Day                         !Day
-  real*8 UT                           !UTC in hours
-  real*8 RA,Dec                       !RA and Dec of moon
-
-! NB: Double caps are single caps in the writeup.
-
-  real*8 NN                           !Longitude of ascending node
-  real*8 i                            !Inclination to the ecliptic
-  real*8 w                            !Argument of perigee
-  real*8 a                            !Semi-major axis
-  real*8 e                            !Eccentricity
-  real*8 MM                           !Mean anomaly
-
-  real*8 v                            !True anomaly
-  real*8 EE                           !Eccentric anomaly
-  real*8 ecl                          !Obliquity of the ecliptic
-
-  real*8 d                            !Ephemeris time argument in days
-  real*8 r                            !Distance to sun, AU
-  real*8 xv,yv                        !x and y coords in ecliptic
-  real*8 lonecl,latecl                !Ecliptic long and lat of moon
-  real*8 xg,yg,zg                     !Ecliptic rectangular coords
-  real*8 Ms                           !Mean anomaly of sun
-  real*8 ws                           !Argument of perihelion of sun
-  real*8 Ls                           !Mean longitude of sun (Ns=0)
-  real*8 Lm                           !Mean longitude of moon
-  real*8 DD                           !Mean elongation of moon
-  real*8 FF                           !Argument of latitude for moon
-  real*8 xe,ye,ze                     !Equatorial geocentric coords of moon
-  real*8 mpar                         !Parallax of moon (r_E / d)
-  real*8 lat,lon                      !Station coordinates on earth
-  real*8 gclat                        !Geocentric latitude
-  real*8 rho                          !Earth radius factor
-  real*8 GMST0,LST,HA
-  real*8 g
-  real*8 topRA,topDec                 !Topocentric coordinates of Moon
-  real*8 Az,El
-  real*8 dist
-
-  real*8 rad,twopi,pi,pio2
-  data rad/57.2957795131d0/,twopi/6.283185307d0/
-
-  d=367*y - 7*(y+(m+9)/12)/4 + 275*m/9 + Day - 730530 + UT/24.d0
-  ecl = 23.4393d0 - 3.563d-7 * d
-
-! Orbital elements for Moon:  
-  NN = 125.1228d0 - 0.0529538083d0 * d
-  i = 5.1454d0
-  w = mod(318.0634d0 + 0.1643573223d0 * d + 360000.d0,360.d0)
-  a = 60.2666d0
-  e = 0.054900d0
-  MM = mod(115.3654d0 + 13.0649929509d0 * d + 360000.d0,360.d0)
-
-  EE = MM + e*rad*sin(MM/rad) * (1.d0 + e*cos(MM/rad))
-  EE = EE - (EE - e*rad*sin(EE/rad)-MM) / (1.d0 - e*cos(EE/rad))
-  EE = EE - (EE - e*rad*sin(EE/rad)-MM) / (1.d0 - e*cos(EE/rad))
-
-  xv = a * (cos(EE/rad) - e)
-  yv = a * (sqrt(1.d0-e*e) * sin(EE/rad))
-
-  v = mod(rad*atan2(yv,xv)+720.d0,360.d0)
-  r = sqrt(xv*xv + yv*yv)
-
-! Get geocentric position in ecliptic rectangular coordinates:
-
-  xg = r * (cos(NN/rad)*cos((v+w)/rad) -                          &
-       sin(NN/rad)*sin((v+w)/rad)*cos(i/rad))
-  yg = r * (sin(NN/rad)*cos((v+w)/rad) +                          &
-       cos(NN/rad)*sin((v+w)/rad)*cos(i/rad))
-  zg = r * (sin((v+w)/rad)*sin(i/rad))
-
-! Ecliptic longitude and latitude of moon:
-  lonecl = mod(rad*atan2(yg/rad,xg/rad)+720.d0,360.d0)
-  latecl = rad*atan2(zg/rad,sqrt(xg*xg + yg*yg)/rad)
-
-! Now include orbital perturbations:
-  Ms = mod(356.0470d0 + 0.9856002585d0 * d + 3600000.d0,360.d0)
-  ws = 282.9404d0 + 4.70935d-5*d
-  Ls = mod(Ms + ws + 720.d0,360.d0)
-  Lm = mod(MM + w + NN+720.d0,360.d0)
-  DD = mod(Lm - Ls + 360.d0,360.d0)
-  FF = mod(Lm - NN + 360.d0,360.d0)
-
-  lonecl = lonecl                                           &
-       -1.274d0 * sin((MM-2.d0*DD)/rad)                     &
-       +0.658d0 * sin(2.d0*DD/rad)                          &
-       -0.186d0 * sin(Ms/rad)                               &
-       -0.059d0 * sin((2.d0*MM-2.d0*DD)/rad)                &
-       -0.057d0 * sin((MM-2.d0*DD+Ms)/rad)                  &
-       +0.053d0 * sin((MM+2.d0*DD)/rad)                     &
-       +0.046d0 * sin((2.d0*DD-Ms)/rad)                     &
-       +0.041d0 * sin((MM-Ms)/rad)                          &
-       -0.035d0 * sin(DD/rad)                               &
-       -0.031d0 * sin((MM+Ms)/rad)                          &
-       -0.015d0 * sin((2.d0*FF-2.d0*DD)/rad)                &
-       +0.011d0 * sin((MM-4.d0*DD)/rad)
-
-  latecl = latecl                                           &
-       -0.173d0 * sin((FF-2.d0*DD)/rad)                     &
-       -0.055d0 * sin((MM-FF-2.d0*DD)/rad)                  &
-       -0.046d0 * sin((MM+FF-2.d0*DD)/rad)                  &
-       +0.033d0 * sin((FF+2.d0*DD)/rad)                     &
-       +0.017d0 * sin((2.d0*MM+FF)/rad)
-
-  r = 60.36298d0                                            &
-       - 3.27746d0*cos(MM/rad)                              &
-       - 0.57994d0*cos((MM-2.d0*DD)/rad)                    &
-       - 0.46357d0*cos(2.d0*DD/rad)                         &
-       - 0.08904d0*cos(2.d0*MM/rad)                         &
-       + 0.03865d0*cos((2.d0*MM-2.d0*DD)/rad)               &
-       - 0.03237d0*cos((2.d0*DD-Ms)/rad)                    &
-       - 0.02688d0*cos((MM+2.d0*DD)/rad)                    &
-       - 0.02358d0*cos((MM-2.d0*DD+Ms)/rad)                 &
-       - 0.02030d0*cos((MM-Ms)/rad)                         &
-       + 0.01719d0*cos(DD/rad)                              &
-       + 0.01671d0*cos((MM+Ms)/rad)
-
-  dist=r*6378.140d0
-
-! Geocentric coordinates:
-! Rectangular ecliptic coordinates of the moon:
-
-  xg = r * cos(lonecl/rad)*cos(latecl/rad)
-  yg = r * sin(lonecl/rad)*cos(latecl/rad)
-  zg = r *                 sin(latecl/rad)
-
-! Rectangular equatorial coordinates of the moon:
-  xe = xg
-  ye = yg*cos(ecl/rad) - zg*sin(ecl/rad)
-  ze = yg*sin(ecl/rad) + zg*cos(ecl/rad)
-   
-! Right Ascension, Declination:
-  RA = mod(rad*atan2(ye,xe)+360.d0,360.d0)
-  Dec = rad*atan2(ze,sqrt(xe*xe + ye*ye))
-
-! Now convert to topocentric system:
-  mpar=rad*asin(1.d0/r)
-!     alt_topoc = alt_geoc - mpar*cos(alt_geoc)
-  gclat = lat - 0.1924d0*sin(2.d0*lat/rad)
-  rho = 0.99883d0 + 0.00167d0*cos(2.d0*lat/rad)
-  GMST0 = (Ls + 180.d0)/15.d0
-  LST = mod(GMST0+UT+lon/15.d0+48.d0,24.d0)    !LST in hours
-  HA = 15.d0*LST - RA                          !HA in degrees
-  g = rad*atan(tan(gclat/rad)/cos(HA/rad))
-  topRA = RA - mpar*rho*cos(gclat/rad)*sin(HA/rad)/cos(Dec/rad)
-  topDec = Dec - mpar*rho*sin(gclat/rad)*sin((g-Dec)/rad)/sin(g/rad)
-
-  HA = 15.d0*LST - topRA                       !HA in degrees
-  if(HA.gt.180.d0) HA=HA-360.d0
-  if(HA.lt.-180.d0) HA=HA+360.d0
-
-  pi=0.5d0*twopi
-  pio2=0.5d0*pi
-  call dcoord(pi,pio2-lat/rad,0.d0,lat/rad,ha*twopi/360,topDec/rad,az,el)
-  Az=az*rad
-  El=El*rad
-
-  return
-end subroutine moon2
diff --git a/lib/moondop.f90 b/lib/moondop.f90
deleted file mode 100644
index 210565866..000000000
--- a/lib/moondop.f90
+++ /dev/null
@@ -1,72 +0,0 @@
-subroutine MoonDop(nyear,month,nday,uth4,lon4,lat4,RAMoon4,        &
-     DecMoon4,LST4,HA4,AzMoon4,ElMoon4,vr4,dist4)
-
-  implicit real*8 (a-h,o-z)
-  real*4 uth4                    !UT in hours
-  real*4 lon4                    !West longitude, degrees
-  real*4 lat4                    !Latitude, degrees
-  real*4 RAMoon4                 !Topocentric RA of moon, hours
-  real*4 DecMoon4                !Topocentric Dec of Moon, degrees
-  real*4 LST4                    !Locat sidereal time, hours
-  real*4 HA4                     !Local Hour angle, degrees
-  real*4 AzMoon4                 !Topocentric Azimuth of moon, degrees
-  real*4 ElMoon4                 !Topocentric Elevation of moon, degrees
-  real*4 vr4                     !Radial velocity of moon wrt obs, km/s
-  real*4 dist4                   !Echo time, seconds
-
-  real*8 LST
-  real*8 RME(6)                  !Vector from Earth center to Moon
-  real*8 RAE(6)                  !Vector from Earth center to Obs
-  real*8 RMA(6)                  !Vector from Obs to Moon
-  real*8 rme0(6)
-  logical km
-
-  data rad/57.2957795130823d0/,twopi/6.28310530717959d0/
-  
-  km=.true.
-  dlat=lat4/rad
-  dlong1=lon4/rad
-  elev1=200.d0
-  call geocentric(dlat,elev1,dlat1,erad1)
-
-  dt=100.d0                       !For numerical derivative, in seconds
-  UT=uth4
-
-! NB: geodetic latitude used here, but geocentric latitude used when 
-! determining Earth-rotation contribution to Doppler.
-
-  call moon2(nyear,month,nDay,UT-dt/3600.d0,dlong1*rad,dlat*rad,     &
-       RA,Dec,topRA,topDec,LST,HA,Az0,El0,dist)
-  call toxyz(RA/rad,Dec/rad,dist,rme0)      !Convert to rectangular coords
-
-  call moon2(nyear,month,nDay,UT,dlong1*rad,dlat*rad,                &
-       RA,Dec,topRA,topDec,LST,HA,Az,El,dist)
-  call toxyz(RA/rad,Dec/rad,dist,rme)       !Convert to rectangular coords
-
-  phi=LST*twopi/24.d0
-  call toxyz(phi,dlat1,erad1,rae)           !Gencentric numbers used here!
-  radps=twopi/(86400.d0/1.002737909d0)
-  rae(4)=-rae(2)*radps                      !Vel of Obs wrt Earth center
-  rae(5)=rae(1)*radps
-  rae(6)=0.d0
-
-  do i=1,3
-     rme(i+3)=(rme(i)-rme0(i))/dt
-     rma(i)=rme(i)-rae(i)
-     rma(i+3)=rme(i+3)-rae(i+3)
-  enddo
-
-  call fromxyz(rma,alpha1,delta1,dtopo0)     !Get topocentric coords
-  vr=dot(rma(4),rma)/dtopo0
-
-  RAMoon4=topRA
-  DecMoon4=topDec
-  LST4=LST
-  HA4=HA
-  AzMoon4=Az
-  ElMoon4=El
-  vr4=vr
-  dist4=dist
-
-  return
-end subroutine MoonDop
diff --git a/lib/moondopjpl.f90 b/lib/moondopjpl.f90
new file mode 100644
index 000000000..c97b8ff3e
--- /dev/null
+++ b/lib/moondopjpl.f90
@@ -0,0 +1,43 @@
+subroutine MoonDopJPL(nyear,month,nday,uth4,lon4,lat4,RAMoon4,        &
+     DecMoon4,LST4,HA4,AzMoon4,ElMoon4,vr4,dist4)
+
+  implicit real*8 (a-h,o-z)
+  real*4 uth4                    !UT in hours
+  real*4 lon4                    !East longitude, degrees
+  real*4 lat4                    !Latitude, degrees
+  real*4 RAMoon4                 !Topocentric RA of moon, hours
+  real*4 DecMoon4                !Topocentric Dec of Moon, degrees
+  real*4 LST4                    !Locat sidereal time, hours
+  real*4 HA4                     !Local Hour angle, degrees
+  real*4 AzMoon4                 !Topocentric Azimuth of moon, degrees
+  real*4 ElMoon4                 !Topocentric Elevation of moon, degrees
+  real*4 vr4                     !Radial velocity of moon wrt obs, km/s
+  real*4 dist4                   !Echo time, seconds
+
+  twopi=8.d0*atan(1.d0)          !Define some constants
+  rad=360.d0/twopi
+  clight=2.99792458d5
+
+  call sla_CLDJ(nyear,month,nday,djutc,j)
+  djutc=djutc + uth4/24.d0
+  dut=-0.460d0
+
+  east_long=lon4/rad
+  geodetic_lat=lat4/rad
+  height=40.
+  nspecial=0
+
+  call ephem(djutc,dut,east_long,geodetic_lat,height,nspecial,    &
+       RA,Dec,Az,El,techo,dop,fspread_1GHz,vr)
+
+  RAMoon4=RA
+  DecMoon4=Dec
+  LST4=LST
+  HA4=HA
+  AzMoon4=Az*rad
+  ElMoon4=El*rad
+  vr4=vr
+  dist4=techo
+
+  return
+end subroutine MoonDopJPL
diff --git a/lib/slasubs.f b/lib/slasubs.f
new file mode 100644
index 000000000..16081f28b
--- /dev/null
+++ b/lib/slasubs.f
@@ -0,0 +1,3396 @@
+      SUBROUTINE sla_CLDJ (IY, IM, ID, DJM, J)
+*+
+*     - - - - -
+*      C L D J
+*     - - - - -
+*
+*  Gregorian Calendar to Modified Julian Date
+*
+*  Given:
+*     IY,IM,ID     int    year, month, day in Gregorian calendar
+*
+*  Returned:
+*     DJM          dp     modified Julian Date (JD-2400000.5) for 0 hrs
+*     J            int    status:
+*                           0 = OK
+*                           1 = bad year   (MJD not computed)
+*                           2 = bad month  (MJD not computed)
+*                           3 = bad day    (MJD computed)
+*
+*  The year must be -4699 (i.e. 4700BC) or later.
+*
+*  The algorithm is adapted from Hatcher 1984 (QJRAS 25, 53-55).
+*
+*  Last revision:   27 July 2004
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      INTEGER IY,IM,ID
+      DOUBLE PRECISION DJM
+      INTEGER J
+
+*  Month lengths in days
+      INTEGER MTAB(12)
+      DATA MTAB / 31,28,31,30,31,30,31,31,30,31,30,31 /
+
+
+
+*  Preset status.
+      J = 0
+
+*  Validate year.
+      IF ( IY .LT. -4699 ) THEN
+         J = 1
+      ELSE
+
+*     Validate month.
+         IF ( IM.GE.1 .AND. IM.LE.12 ) THEN
+
+*        Allow for leap year.
+            IF ( MOD(IY,4) .EQ. 0 ) THEN
+               MTAB(2) = 29
+            ELSE
+               MTAB(2) = 28
+            END IF
+            IF ( MOD(IY,100).EQ.0 .AND. MOD(IY,400).NE.0 )
+     :         MTAB(2) = 28
+
+*        Validate day.
+            IF ( ID.LT.1 .OR. ID.GT.MTAB(IM) ) J=3
+
+*        Modified Julian Date.
+            DJM = DBLE ( ( 1461 * ( IY - (12-IM)/10 + 4712 ) ) / 4
+     :               + ( 306 * MOD ( IM+9, 12 ) + 5 ) / 10
+     :               - ( 3 * ( ( IY - (12-IM)/10 + 4900 ) / 100 ) ) / 4
+     :               + ID - 2399904 )
+
+*        Bad month.
+         ELSE
+            J=2
+         END IF
+
+      END IF
+
+      END
+      DOUBLE PRECISION FUNCTION sla_DAT (UTC)
+*+
+*     - - - -
+*      D A T
+*     - - - -
+*
+*  Increment to be applied to Coordinated Universal Time UTC to give
+*  International Atomic Time TAI (double precision)
+*
+*  Given:
+*     UTC      d      UTC date as a modified JD (JD-2400000.5)
+*
+*  Result:  TAI-UTC in seconds
+*
+*  Notes:
+*
+*  1  The UTC is specified to be a date rather than a time to indicate
+*     that care needs to be taken not to specify an instant which lies
+*     within a leap second.  Though in most cases UTC can include the
+*     fractional part, correct behaviour on the day of a leap second
+*     can only be guaranteed up to the end of the second 23:59:59.
+*
+*  2  For epochs from 1961 January 1 onwards, the expressions from the
+*     file ftp://maia.usno.navy.mil/ser7/tai-utc.dat are used.
+*
+*  3  The 5ms time step at 1961 January 1 is taken from 2.58.1 (p87) of
+*     the 1992 Explanatory Supplement.
+*
+*  4  UTC began at 1960 January 1.0 (JD 2436934.5) and it is improper
+*     to call the routine with an earlier epoch.  However, if this
+*     is attempted, the TAI-UTC expression for the year 1960 is used.
+*
+*
+*     :-----------------------------------------:
+*     :                                         :
+*     :                IMPORTANT                :
+*     :                                         :
+*     :  This routine must be updated on each   :
+*     :     occasion that a leap second is      :
+*     :                announced                :
+*     :                                         :
+*     :  Latest leap second:  2015 July 1       :
+*     :                                         :
+*     :-----------------------------------------:
+*
+*  Last revision:   5 July 2008
+*
+*  Copyright P.T.Wallace.  All rights reserved.
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION UTC
+
+      DOUBLE PRECISION DT
+
+
+
+      IF (.FALSE.) THEN
+
+* - - - - - - - - - - - - - - - - - - - - - - *
+*  Add new code here on each occasion that a  *
+*  leap second is announced, and update the   *
+*  preamble comments appropriately.           *
+* - - - - - - - - - - - - - - - - - - - - - - *
+
+*     2015 July 1
+      ELSE IF (UTC.GE.57204D0) THEN
+         DT=36D0
+
+*     2012 July 1
+      ELSE IF (UTC.GE.56109D0) THEN
+         DT=35D0
+
+*     2009 January 1
+      ELSE IF (UTC.GE.54832D0) THEN
+         DT=34D0
+
+*     2006 January 1
+      ELSE IF (UTC.GE.53736D0) THEN
+         DT=33D0
+
+*     1999 January 1
+      ELSE IF (UTC.GE.51179D0) THEN
+         DT=32D0
+
+*     1997 July 1
+      ELSE IF (UTC.GE.50630D0) THEN
+         DT=31D0
+
+*     1996 January 1
+      ELSE IF (UTC.GE.50083D0) THEN
+         DT=30D0
+
+*     1994 July 1
+      ELSE IF (UTC.GE.49534D0) THEN
+         DT=29D0
+
+*     1993 July 1
+      ELSE IF (UTC.GE.49169D0) THEN
+         DT=28D0
+
+*     1992 July 1
+      ELSE IF (UTC.GE.48804D0) THEN
+         DT=27D0
+
+*     1991 January 1
+      ELSE IF (UTC.GE.48257D0) THEN
+         DT=26D0
+
+*     1990 January 1
+      ELSE IF (UTC.GE.47892D0) THEN
+         DT=25D0
+
+*     1988 January 1
+      ELSE IF (UTC.GE.47161D0) THEN
+         DT=24D0
+
+*     1985 July 1
+      ELSE IF (UTC.GE.46247D0) THEN
+         DT=23D0
+
+*     1983 July 1
+      ELSE IF (UTC.GE.45516D0) THEN
+         DT=22D0
+
+*     1982 July 1
+      ELSE IF (UTC.GE.45151D0) THEN
+         DT=21D0
+
+*     1981 July 1
+      ELSE IF (UTC.GE.44786D0) THEN
+         DT=20D0
+
+*     1980 January 1
+      ELSE IF (UTC.GE.44239D0) THEN
+         DT=19D0
+
+*     1979 January 1
+      ELSE IF (UTC.GE.43874D0) THEN
+         DT=18D0
+
+*     1978 January 1
+      ELSE IF (UTC.GE.43509D0) THEN
+         DT=17D0
+
+*     1977 January 1
+      ELSE IF (UTC.GE.43144D0) THEN
+         DT=16D0
+
+*     1976 January 1
+      ELSE IF (UTC.GE.42778D0) THEN
+         DT=15D0
+
+*     1975 January 1
+      ELSE IF (UTC.GE.42413D0) THEN
+         DT=14D0
+
+*     1974 January 1
+      ELSE IF (UTC.GE.42048D0) THEN
+         DT=13D0
+
+*     1973 January 1
+      ELSE IF (UTC.GE.41683D0) THEN
+         DT=12D0
+
+*     1972 July 1
+      ELSE IF (UTC.GE.41499D0) THEN
+         DT=11D0
+
+*     1972 January 1
+      ELSE IF (UTC.GE.41317D0) THEN
+         DT=10D0
+
+*     1968 February 1
+      ELSE IF (UTC.GE.39887D0) THEN
+         DT=4.2131700D0+(UTC-39126D0)*0.002592D0
+
+*     1966 January 1
+      ELSE IF (UTC.GE.39126D0) THEN
+         DT=4.3131700D0+(UTC-39126D0)*0.002592D0
+
+*     1965 September 1
+      ELSE IF (UTC.GE.39004D0) THEN
+         DT=3.8401300D0+(UTC-38761D0)*0.001296D0
+
+*     1965 July 1
+      ELSE IF (UTC.GE.38942D0) THEN
+         DT=3.7401300D0+(UTC-38761D0)*0.001296D0
+
+*     1965 March 1
+      ELSE IF (UTC.GE.38820D0) THEN
+         DT=3.6401300D0+(UTC-38761D0)*0.001296D0
+
+*     1965 January 1
+      ELSE IF (UTC.GE.38761D0) THEN
+         DT=3.5401300D0+(UTC-38761D0)*0.001296D0
+
+*     1964 September 1
+      ELSE IF (UTC.GE.38639D0) THEN
+         DT=3.4401300D0+(UTC-38761D0)*0.001296D0
+
+*     1964 April 1
+      ELSE IF (UTC.GE.38486D0) THEN
+         DT=3.3401300D0+(UTC-38761D0)*0.001296D0
+
+*     1964 January 1
+      ELSE IF (UTC.GE.38395D0) THEN
+         DT=3.2401300D0+(UTC-38761D0)*0.001296D0
+
+*     1963 November 1
+      ELSE IF (UTC.GE.38334D0) THEN
+         DT=1.9458580D0+(UTC-37665D0)*0.0011232D0
+
+*     1962 January 1
+      ELSE IF (UTC.GE.37665D0) THEN
+         DT=1.8458580D0+(UTC-37665D0)*0.0011232D0
+
+*     1961 August 1
+      ELSE IF (UTC.GE.37512D0) THEN
+         DT=1.3728180D0+(UTC-37300D0)*0.001296D0
+
+*     1961 January 1
+      ELSE IF (UTC.GE.37300D0) THEN
+         DT=1.4228180D0+(UTC-37300D0)*0.001296D0
+
+*     Before that
+      ELSE
+         DT=1.4178180D0+(UTC-37300D0)*0.001296D0
+
+      END IF
+
+      sla_DAT=DT
+
+      END
+      SUBROUTINE sla_DC62S (V, A, B, R, AD, BD, RD)
+*+
+*     - - - - - -
+*      D C 6 2 S
+*     - - - - - -
+*
+*  Conversion of position & velocity in Cartesian coordinates
+*  to spherical coordinates (double precision)
+*
+*  Given:
+*     V      d(6)   Cartesian position & velocity vector
+*
+*  Returned:
+*     A      d      longitude (radians)
+*     B      d      latitude (radians)
+*     R      d      radial coordinate
+*     AD     d      longitude derivative (radians per unit time)
+*     BD     d      latitude derivative (radians per unit time)
+*     RD     d      radial derivative
+*
+*  P.T.Wallace   Starlink   28 April 1996
+*
+*  Copyright (C) 1996 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION V(6),A,B,R,AD,BD,RD
+
+      DOUBLE PRECISION X,Y,Z,XD,YD,ZD,RXY2,RXY,R2,XYP
+
+
+
+*  Components of position/velocity vector
+      X=V(1)
+      Y=V(2)
+      Z=V(3)
+      XD=V(4)
+      YD=V(5)
+      ZD=V(6)
+
+*  Component of R in XY plane squared
+      RXY2=X*X+Y*Y
+
+*  Modulus squared
+      R2=RXY2+Z*Z
+
+*  Protection against null vector
+      IF (R2.EQ.0D0) THEN
+         X=XD
+         Y=YD
+         Z=ZD
+         RXY2=X*X+Y*Y
+         R2=RXY2+Z*Z
+      END IF
+
+*  Position and velocity in spherical coordinates
+      RXY=SQRT(RXY2)
+      XYP=X*XD+Y*YD
+      IF (RXY2.NE.0D0) THEN
+         A=ATAN2(Y,X)
+         B=ATAN2(Z,RXY)
+         AD=(X*YD-Y*XD)/RXY2
+         BD=(ZD*RXY2-Z*XYP)/(R2*RXY)
+      ELSE
+         A=0D0
+         IF (Z.NE.0D0) THEN
+            B=ATAN2(Z,RXY)
+         ELSE
+            B=0D0
+         END IF
+         AD=0D0
+         BD=0D0
+      END IF
+      R=SQRT(R2)
+      IF (R.NE.0D0) THEN
+         RD=(XYP+Z*ZD)/R
+      ELSE
+         RD=0D0
+      END IF
+
+      END
+      SUBROUTINE sla_DCC2S (V, A, B)
+*+
+*     - - - - - -
+*      D C C 2 S
+*     - - - - - -
+*
+*  Cartesian to spherical coordinates (double precision)
+*
+*  Given:
+*     V     d(3)   x,y,z vector
+*
+*  Returned:
+*     A,B   d      spherical coordinates in radians
+*
+*  The spherical coordinates are longitude (+ve anticlockwise looking
+*  from the +ve latitude pole) and latitude.  The Cartesian coordinates
+*  are right handed, with the x axis at zero longitude and latitude, and
+*  the z axis at the +ve latitude pole.
+*
+*  If V is null, zero A and B are returned.  At either pole, zero A is
+*  returned.
+*
+*  Last revision:   22 July 2004
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION V(3),A,B
+
+      DOUBLE PRECISION X,Y,Z,R
+
+
+      X = V(1)
+      Y = V(2)
+      Z = V(3)
+      R = SQRT(X*X+Y*Y)
+
+      IF (R.EQ.0D0) THEN
+         A = 0D0
+      ELSE
+         A = ATAN2(Y,X)
+      END IF
+
+      IF (Z.EQ.0D0) THEN
+         B = 0D0
+      ELSE
+         B = ATAN2(Z,R)
+      END IF
+
+      END
+      SUBROUTINE sla_DCS2C (A, B, V)
+*+
+*     - - - - - -
+*      D C S 2 C
+*     - - - - - -
+*
+*  Spherical coordinates to direction cosines (double precision)
+*
+*  Given:
+*     A,B       d      spherical coordinates in radians
+*                         (RA,Dec), (long,lat) etc.
+*
+*  Returned:
+*     V         d(3)   x,y,z unit vector
+*
+*  The spherical coordinates are longitude (+ve anticlockwise looking
+*  from the +ve latitude pole) and latitude.  The Cartesian coordinates
+*  are right handed, with the x axis at zero longitude and latitude, and
+*  the z axis at the +ve latitude pole.
+*
+*  Last revision:   26 December 2004
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION A,B,V(3)
+
+      DOUBLE PRECISION COSB
+
+
+      COSB = COS(B)
+
+      V(1) = COS(A)*COSB
+      V(2) = SIN(A)*COSB
+      V(3) = SIN(B)
+
+      END
+      SUBROUTINE sla_DE2H (HA, DEC, PHI, AZ, EL)
+*+
+*     - - - - -
+*      D E 2 H
+*     - - - - -
+*
+*  Equatorial to horizon coordinates:  HA,Dec to Az,El
+*
+*  (double precision)
+*
+*  Given:
+*     HA      d     hour angle
+*     DEC     d     declination
+*     PHI     d     observatory latitude
+*
+*  Returned:
+*     AZ      d     azimuth
+*     EL      d     elevation
+*
+*  Notes:
+*
+*  1)  All the arguments are angles in radians.
+*
+*  2)  Azimuth is returned in the range 0-2pi;  north is zero,
+*      and east is +pi/2.  Elevation is returned in the range
+*      +/-pi/2.
+*
+*  3)  The latitude must be geodetic.  In critical applications,
+*      corrections for polar motion should be applied.
+*
+*  4)  In some applications it will be important to specify the
+*      correct type of hour angle and declination in order to
+*      produce the required type of azimuth and elevation.  In
+*      particular, it may be important to distinguish between
+*      elevation as affected by refraction, which would
+*      require the "observed" HA,Dec, and the elevation
+*      in vacuo, which would require the "topocentric" HA,Dec.
+*      If the effects of diurnal aberration can be neglected, the
+*      "apparent" HA,Dec may be used instead of the topocentric
+*      HA,Dec.
+*
+*  5)  No range checking of arguments is carried out.
+*
+*  6)  In applications which involve many such calculations, rather
+*      than calling the present routine it will be more efficient to
+*      use inline code, having previously computed fixed terms such
+*      as sine and cosine of latitude, and (for tracking a star)
+*      sine and cosine of declination.
+*
+*  P.T.Wallace   Starlink   9 July 1994
+*
+*  Copyright (C) 1995 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION HA,DEC,PHI,AZ,EL
+
+      DOUBLE PRECISION D2PI
+      PARAMETER (D2PI=6.283185307179586476925286766559D0)
+
+      DOUBLE PRECISION SH,CH,SD,CD,SP,CP,X,Y,Z,R,A
+
+
+*  Useful trig functions
+      SH=SIN(HA)
+      CH=COS(HA)
+      SD=SIN(DEC)
+      CD=COS(DEC)
+      SP=SIN(PHI)
+      CP=COS(PHI)
+
+*  Az,El as x,y,z
+      X=-CH*CD*SP+SD*CP
+      Y=-SH*CD
+      Z=CH*CD*CP+SD*SP
+
+*  To spherical
+      R=SQRT(X*X+Y*Y)
+      IF (R.EQ.0D0) THEN
+         A=0D0
+      ELSE
+         A=ATAN2(Y,X)
+      END IF
+      IF (A.LT.0D0) A=A+D2PI
+      AZ=A
+      EL=ATAN2(Z,R)
+
+      END
+      SUBROUTINE sla_DEULER (ORDER, PHI, THETA, PSI, RMAT)
+*+
+*     - - - - - - -
+*      D E U L E R
+*     - - - - - - -
+*
+*  Form a rotation matrix from the Euler angles - three successive
+*  rotations about specified Cartesian axes (double precision)
+*
+*  Given:
+*    ORDER   c*(*)   specifies about which axes the rotations occur
+*    PHI     d       1st rotation (radians)
+*    THETA   d       2nd rotation (   "   )
+*    PSI     d       3rd rotation (   "   )
+*
+*  Returned:
+*    RMAT    d(3,3)  rotation matrix
+*
+*  A rotation is positive when the reference frame rotates
+*  anticlockwise as seen looking towards the origin from the
+*  positive region of the specified axis.
+*
+*  The characters of ORDER define which axes the three successive
+*  rotations are about.  A typical value is 'ZXZ', indicating that
+*  RMAT is to become the direction cosine matrix corresponding to
+*  rotations of the reference frame through PHI radians about the
+*  old Z-axis, followed by THETA radians about the resulting X-axis,
+*  then PSI radians about the resulting Z-axis.
+*
+*  The axis names can be any of the following, in any order or
+*  combination:  X, Y, Z, uppercase or lowercase, 1, 2, 3.  Normal
+*  axis labelling/numbering conventions apply;  the xyz (=123)
+*  triad is right-handed.  Thus, the 'ZXZ' example given above
+*  could be written 'zxz' or '313' (or even 'ZxZ' or '3xZ').  ORDER
+*  is terminated by length or by the first unrecognized character.
+*
+*  Fewer than three rotations are acceptable, in which case the later
+*  angle arguments are ignored.  If all rotations are zero, the
+*  identity matrix is produced.
+*
+*  P.T.Wallace   Starlink   23 May 1997
+*
+*  Copyright (C) 1997 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      CHARACTER*(*) ORDER
+      DOUBLE PRECISION PHI,THETA,PSI,RMAT(3,3)
+
+      INTEGER J,I,L,N,K
+      DOUBLE PRECISION RESULT(3,3),ROTN(3,3),ANGLE,S,C,W,WM(3,3)
+      CHARACTER AXIS
+
+
+
+*  Initialize result matrix
+      DO J=1,3
+         DO I=1,3
+            IF (I.NE.J) THEN
+               RESULT(I,J) = 0D0
+            ELSE
+               RESULT(I,J) = 1D0
+            END IF
+         END DO
+      END DO
+
+*  Establish length of axis string
+      L = LEN(ORDER)
+
+*  Look at each character of axis string until finished
+      DO N=1,3
+         IF (N.LE.L) THEN
+
+*        Initialize rotation matrix for the current rotation
+            DO J=1,3
+               DO I=1,3
+                  IF (I.NE.J) THEN
+                     ROTN(I,J) = 0D0
+                  ELSE
+                     ROTN(I,J) = 1D0
+                  END IF
+               END DO
+            END DO
+
+*        Pick up the appropriate Euler angle and take sine & cosine
+            IF (N.EQ.1) THEN
+               ANGLE = PHI
+            ELSE IF (N.EQ.2) THEN
+               ANGLE = THETA
+            ELSE
+               ANGLE = PSI
+            END IF
+            S = SIN(ANGLE)
+            C = COS(ANGLE)
+
+*        Identify the axis
+            AXIS = ORDER(N:N)
+            IF (AXIS.EQ.'X'.OR.
+     :          AXIS.EQ.'x'.OR.
+     :          AXIS.EQ.'1') THEN
+
+*           Matrix for x-rotation
+               ROTN(2,2) = C
+               ROTN(2,3) = S
+               ROTN(3,2) = -S
+               ROTN(3,3) = C
+
+            ELSE IF (AXIS.EQ.'Y'.OR.
+     :               AXIS.EQ.'y'.OR.
+     :               AXIS.EQ.'2') THEN
+
+*           Matrix for y-rotation
+               ROTN(1,1) = C
+               ROTN(1,3) = -S
+               ROTN(3,1) = S
+               ROTN(3,3) = C
+
+            ELSE IF (AXIS.EQ.'Z'.OR.
+     :               AXIS.EQ.'z'.OR.
+     :               AXIS.EQ.'3') THEN
+
+*           Matrix for z-rotation
+               ROTN(1,1) = C
+               ROTN(1,2) = S
+               ROTN(2,1) = -S
+               ROTN(2,2) = C
+
+            ELSE
+
+*           Unrecognized character - fake end of string
+               L = 0
+
+            END IF
+
+*        Apply the current rotation (matrix ROTN x matrix RESULT)
+            DO I=1,3
+               DO J=1,3
+                  W = 0D0
+                  DO K=1,3
+                     W = W+ROTN(I,K)*RESULT(K,J)
+                  END DO
+                  WM(I,J) = W
+               END DO
+            END DO
+            DO J=1,3
+               DO I=1,3
+                  RESULT(I,J) = WM(I,J)
+               END DO
+            END DO
+
+         END IF
+
+      END DO
+
+*  Copy the result
+      DO J=1,3
+         DO I=1,3
+            RMAT(I,J) = RESULT(I,J)
+         END DO
+      END DO
+
+      END
+      SUBROUTINE sla_DMOON (DATE, PV)
+*+
+*     - - - - - -
+*      D M O O N
+*     - - - - - -
+*
+*  Approximate geocentric position and velocity of the Moon
+*  (double precision)
+*
+*  Given:
+*     DATE       D       TDB (loosely ET) as a Modified Julian Date
+*                                                    (JD-2400000.5)
+*
+*  Returned:
+*     PV         D(6)    Moon x,y,z,xdot,ydot,zdot, mean equator and
+*                                         equinox of date (AU, AU/s)
+*
+*  Notes:
+*
+*  1  This routine is a full implementation of the algorithm
+*     published by Meeus (see reference).
+*
+*  2  Meeus quotes accuracies of 10 arcsec in longitude, 3 arcsec in
+*     latitude and 0.2 arcsec in HP (equivalent to about 20 km in
+*     distance).  Comparison with JPL DE200 over the interval
+*     1960-2025 gives RMS errors of 3.7 arcsec and 83 mas/hour in
+*     longitude, 2.3 arcsec and 48 mas/hour in latitude, 11 km
+*     and 81 mm/s in distance.  The maximum errors over the same
+*     interval are 18 arcsec and 0.50 arcsec/hour in longitude,
+*     11 arcsec and 0.24 arcsec/hour in latitude, 40 km and 0.29 m/s
+*     in distance.
+*
+*  3  The original algorithm is expressed in terms of the obsolete
+*     timescale Ephemeris Time.  Either TDB or TT can be used, but
+*     not UT without incurring significant errors (30 arcsec at
+*     the present time) due to the Moon's 0.5 arcsec/sec movement.
+*
+*  4  The algorithm is based on pre IAU 1976 standards.  However,
+*     the result has been moved onto the new (FK5) equinox, an
+*     adjustment which is in any case much smaller than the
+*     intrinsic accuracy of the procedure.
+*
+*  5  Velocity is obtained by a complete analytical differentiation
+*     of the Meeus model.
+*
+*  Reference:
+*     Meeus, l'Astronomie, June 1984, p348.
+*
+*  P.T.Wallace   Starlink   22 January 1998
+*
+*  Copyright (C) 1998 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION DATE,PV(6)
+
+*  Degrees, arcseconds and seconds of time to radians
+      DOUBLE PRECISION D2R,DAS2R,DS2R
+      PARAMETER (D2R=0.0174532925199432957692369D0,
+     :           DAS2R=4.848136811095359935899141D-6,
+     :           DS2R=7.272205216643039903848712D-5)
+
+*  Seconds per Julian century (86400*36525)
+      DOUBLE PRECISION CJ
+      PARAMETER (CJ=3155760000D0)
+
+*  Julian epoch of B1950
+      DOUBLE PRECISION B1950
+      PARAMETER (B1950=1949.9997904423D0)
+
+*  Earth equatorial radius in AU ( = 6378.137 / 149597870 )
+      DOUBLE PRECISION ERADAU
+      PARAMETER (ERADAU=4.2635212653763D-5)
+
+      DOUBLE PRECISION T,THETA,SINOM,COSOM,DOMCOM,WA,DWA,WB,DWB,WOM,
+     :                 DWOM,SINWOM,COSWOM,V,DV,COEFF,EMN,EMPN,DN,FN,EN,
+     :                 DEN,DTHETA,FTHETA,EL,DEL,B,DB,BF,DBF,P,DP,SP,R,
+     :                 DR,X,Y,Z,XD,YD,ZD,SEL,CEL,SB,CB,RCB,RBD,W,EPJ,
+     :                 EQCOR,EPS,SINEPS,COSEPS,ES,EC
+      INTEGER N,I
+
+*
+*  Coefficients for fundamental arguments
+*
+*   at J1900:  T**0, T**1, T**2, T**3
+*   at epoch:  T**0, T**1
+*
+*  Units are degrees for position and Julian centuries for time
+*
+
+*  Moon's mean longitude
+      DOUBLE PRECISION ELP0,ELP1,ELP2,ELP3,ELP,DELP
+      PARAMETER (ELP0=270.434164D0,
+     :           ELP1=481267.8831D0,
+     :           ELP2=-0.001133D0,
+     :           ELP3=0.0000019D0)
+
+*  Sun's mean anomaly
+      DOUBLE PRECISION EM0,EM1,EM2,EM3,EM,DEM
+      PARAMETER (EM0=358.475833D0,
+     :           EM1=35999.0498D0,
+     :           EM2=-0.000150D0,
+     :           EM3=-0.0000033D0)
+
+*  Moon's mean anomaly
+      DOUBLE PRECISION EMP0,EMP1,EMP2,EMP3,EMP,DEMP
+      PARAMETER (EMP0=296.104608D0,
+     :           EMP1=477198.8491D0,
+     :           EMP2=0.009192D0,
+     :           EMP3=0.0000144D0)
+
+*  Moon's mean elongation
+      DOUBLE PRECISION D0,D1,D2,D3,D,DD
+      PARAMETER (D0=350.737486D0,
+     :           D1=445267.1142D0,
+     :           D2=-0.001436D0,
+     :           D3=0.0000019D0)
+
+*  Mean distance of the Moon from its ascending node
+      DOUBLE PRECISION F0,F1,F2,F3,F,DF
+      PARAMETER (F0=11.250889D0,
+     :           F1=483202.0251D0,
+     :           F2=-0.003211D0,
+     :           F3=-0.0000003D0)
+
+*  Longitude of the Moon's ascending node
+      DOUBLE PRECISION OM0,OM1,OM2,OM3,OM,DOM
+      PARAMETER (OM0=259.183275D0,
+     :           OM1=-1934.1420D0,
+     :           OM2=0.002078D0,
+     :           OM3=0.0000022D0)
+
+*  Coefficients for (dimensionless) E factor
+      DOUBLE PRECISION E1,E2,E,DE,ESQ,DESQ
+      PARAMETER (E1=-0.002495D0,E2=-0.00000752D0)
+
+*  Coefficients for periodic variations etc
+      DOUBLE PRECISION PAC,PA0,PA1
+      PARAMETER (PAC=0.000233D0,PA0=51.2D0,PA1=20.2D0)
+      DOUBLE PRECISION PBC
+      PARAMETER (PBC=-0.001778D0)
+      DOUBLE PRECISION PCC
+      PARAMETER (PCC=0.000817D0)
+      DOUBLE PRECISION PDC
+      PARAMETER (PDC=0.002011D0)
+      DOUBLE PRECISION PEC,PE0,PE1,PE2
+      PARAMETER (PEC=0.003964D0,
+     :                     PE0=346.560D0,PE1=132.870D0,PE2=-0.0091731D0)
+      DOUBLE PRECISION PFC
+      PARAMETER (PFC=0.001964D0)
+      DOUBLE PRECISION PGC
+      PARAMETER (PGC=0.002541D0)
+      DOUBLE PRECISION PHC
+      PARAMETER (PHC=0.001964D0)
+      DOUBLE PRECISION PIC
+      PARAMETER (PIC=-0.024691D0)
+      DOUBLE PRECISION PJC,PJ0,PJ1
+      PARAMETER (PJC=-0.004328D0,PJ0=275.05D0,PJ1=-2.30D0)
+      DOUBLE PRECISION CW1
+      PARAMETER (CW1=0.0004664D0)
+      DOUBLE PRECISION CW2
+      PARAMETER (CW2=0.0000754D0)
+
+*
+*  Coefficients for Moon position
+*
+*   Tx(N)       = coefficient of L, B or P term (deg)
+*   ITx(N,1-5)  = coefficients of M, M', D, F, E**n in argument
+*
+      INTEGER NL,NB,NP
+      PARAMETER (NL=50,NB=45,NP=31)
+      DOUBLE PRECISION TL(NL),TB(NB),TP(NP)
+      INTEGER ITL(5,NL),ITB(5,NB),ITP(5,NP)
+*
+*  Longitude
+*                                         M   M'  D   F   n
+      DATA TL( 1)/            +6.288750D0                     /,
+     :     (ITL(I, 1),I=1,5)/            +0, +1, +0, +0,  0   /
+      DATA TL( 2)/            +1.274018D0                     /,
+     :     (ITL(I, 2),I=1,5)/            +0, -1, +2, +0,  0   /
+      DATA TL( 3)/            +0.658309D0                     /,
+     :     (ITL(I, 3),I=1,5)/            +0, +0, +2, +0,  0   /
+      DATA TL( 4)/            +0.213616D0                     /,
+     :     (ITL(I, 4),I=1,5)/            +0, +2, +0, +0,  0   /
+      DATA TL( 5)/            -0.185596D0                     /,
+     :     (ITL(I, 5),I=1,5)/            +1, +0, +0, +0,  1   /
+      DATA TL( 6)/            -0.114336D0                     /,
+     :     (ITL(I, 6),I=1,5)/            +0, +0, +0, +2,  0   /
+      DATA TL( 7)/            +0.058793D0                     /,
+     :     (ITL(I, 7),I=1,5)/            +0, -2, +2, +0,  0   /
+      DATA TL( 8)/            +0.057212D0                     /,
+     :     (ITL(I, 8),I=1,5)/            -1, -1, +2, +0,  1   /
+      DATA TL( 9)/            +0.053320D0                     /,
+     :     (ITL(I, 9),I=1,5)/            +0, +1, +2, +0,  0   /
+      DATA TL(10)/            +0.045874D0                     /,
+     :     (ITL(I,10),I=1,5)/            -1, +0, +2, +0,  1   /
+      DATA TL(11)/            +0.041024D0                     /,
+     :     (ITL(I,11),I=1,5)/            -1, +1, +0, +0,  1   /
+      DATA TL(12)/            -0.034718D0                     /,
+     :     (ITL(I,12),I=1,5)/            +0, +0, +1, +0,  0   /
+      DATA TL(13)/            -0.030465D0                     /,
+     :     (ITL(I,13),I=1,5)/            +1, +1, +0, +0,  1   /
+      DATA TL(14)/            +0.015326D0                     /,
+     :     (ITL(I,14),I=1,5)/            +0, +0, +2, -2,  0   /
+      DATA TL(15)/            -0.012528D0                     /,
+     :     (ITL(I,15),I=1,5)/            +0, +1, +0, +2,  0   /
+      DATA TL(16)/            -0.010980D0                     /,
+     :     (ITL(I,16),I=1,5)/            +0, -1, +0, +2,  0   /
+      DATA TL(17)/            +0.010674D0                     /,
+     :     (ITL(I,17),I=1,5)/            +0, -1, +4, +0,  0   /
+      DATA TL(18)/            +0.010034D0                     /,
+     :     (ITL(I,18),I=1,5)/            +0, +3, +0, +0,  0   /
+      DATA TL(19)/            +0.008548D0                     /,
+     :     (ITL(I,19),I=1,5)/            +0, -2, +4, +0,  0   /
+      DATA TL(20)/            -0.007910D0                     /,
+     :     (ITL(I,20),I=1,5)/            +1, -1, +2, +0,  1   /
+      DATA TL(21)/            -0.006783D0                     /,
+     :     (ITL(I,21),I=1,5)/            +1, +0, +2, +0,  1   /
+      DATA TL(22)/            +0.005162D0                     /,
+     :     (ITL(I,22),I=1,5)/            +0, +1, -1, +0,  0   /
+      DATA TL(23)/            +0.005000D0                     /,
+     :     (ITL(I,23),I=1,5)/            +1, +0, +1, +0,  1   /
+      DATA TL(24)/            +0.004049D0                     /,
+     :     (ITL(I,24),I=1,5)/            -1, +1, +2, +0,  1   /
+      DATA TL(25)/            +0.003996D0                     /,
+     :     (ITL(I,25),I=1,5)/            +0, +2, +2, +0,  0   /
+      DATA TL(26)/            +0.003862D0                     /,
+     :     (ITL(I,26),I=1,5)/            +0, +0, +4, +0,  0   /
+      DATA TL(27)/            +0.003665D0                     /,
+     :     (ITL(I,27),I=1,5)/            +0, -3, +2, +0,  0   /
+      DATA TL(28)/            +0.002695D0                     /,
+     :     (ITL(I,28),I=1,5)/            -1, +2, +0, +0,  1   /
+      DATA TL(29)/            +0.002602D0                     /,
+     :     (ITL(I,29),I=1,5)/            +0, +1, -2, -2,  0   /
+      DATA TL(30)/            +0.002396D0                     /,
+     :     (ITL(I,30),I=1,5)/            -1, -2, +2, +0,  1   /
+      DATA TL(31)/            -0.002349D0                     /,
+     :     (ITL(I,31),I=1,5)/            +0, +1, +1, +0,  0   /
+      DATA TL(32)/            +0.002249D0                     /,
+     :     (ITL(I,32),I=1,5)/            -2, +0, +2, +0,  2   /
+      DATA TL(33)/            -0.002125D0                     /,
+     :     (ITL(I,33),I=1,5)/            +1, +2, +0, +0,  1   /
+      DATA TL(34)/            -0.002079D0                     /,
+     :     (ITL(I,34),I=1,5)/            +2, +0, +0, +0,  2   /
+      DATA TL(35)/            +0.002059D0                     /,
+     :     (ITL(I,35),I=1,5)/            -2, -1, +2, +0,  2   /
+      DATA TL(36)/            -0.001773D0                     /,
+     :     (ITL(I,36),I=1,5)/            +0, +1, +2, -2,  0   /
+      DATA TL(37)/            -0.001595D0                     /,
+     :     (ITL(I,37),I=1,5)/            +0, +0, +2, +2,  0   /
+      DATA TL(38)/            +0.001220D0                     /,
+     :     (ITL(I,38),I=1,5)/            -1, -1, +4, +0,  1   /
+      DATA TL(39)/            -0.001110D0                     /,
+     :     (ITL(I,39),I=1,5)/            +0, +2, +0, +2,  0   /
+      DATA TL(40)/            +0.000892D0                     /,
+     :     (ITL(I,40),I=1,5)/            +0, +1, -3, +0,  0   /
+      DATA TL(41)/            -0.000811D0                     /,
+     :     (ITL(I,41),I=1,5)/            +1, +1, +2, +0,  1   /
+      DATA TL(42)/            +0.000761D0                     /,
+     :     (ITL(I,42),I=1,5)/            -1, -2, +4, +0,  1   /
+      DATA TL(43)/            +0.000717D0                     /,
+     :     (ITL(I,43),I=1,5)/            -2, +1, +0, +0,  2   /
+      DATA TL(44)/            +0.000704D0                     /,
+     :     (ITL(I,44),I=1,5)/            -2, +1, -2, +0,  2   /
+      DATA TL(45)/            +0.000693D0                     /,
+     :     (ITL(I,45),I=1,5)/            +1, -2, +2, +0,  1   /
+      DATA TL(46)/            +0.000598D0                     /,
+     :     (ITL(I,46),I=1,5)/            -1, +0, +2, -2,  1   /
+      DATA TL(47)/            +0.000550D0                     /,
+     :     (ITL(I,47),I=1,5)/            +0, +1, +4, +0,  0   /
+      DATA TL(48)/            +0.000538D0                     /,
+     :     (ITL(I,48),I=1,5)/            +0, +4, +0, +0,  0   /
+      DATA TL(49)/            +0.000521D0                     /,
+     :     (ITL(I,49),I=1,5)/            -1, +0, +4, +0,  1   /
+      DATA TL(50)/            +0.000486D0                     /,
+     :     (ITL(I,50),I=1,5)/            +0, +2, -1, +0,  0   /
+*
+*  Latitude
+*                                         M   M'  D   F   n
+      DATA TB( 1)/            +5.128189D0                     /,
+     :     (ITB(I, 1),I=1,5)/            +0, +0, +0, +1,  0   /
+      DATA TB( 2)/            +0.280606D0                     /,
+     :     (ITB(I, 2),I=1,5)/            +0, +1, +0, +1,  0   /
+      DATA TB( 3)/            +0.277693D0                     /,
+     :     (ITB(I, 3),I=1,5)/            +0, +1, +0, -1,  0   /
+      DATA TB( 4)/            +0.173238D0                     /,
+     :     (ITB(I, 4),I=1,5)/            +0, +0, +2, -1,  0   /
+      DATA TB( 5)/            +0.055413D0                     /,
+     :     (ITB(I, 5),I=1,5)/            +0, -1, +2, +1,  0   /
+      DATA TB( 6)/            +0.046272D0                     /,
+     :     (ITB(I, 6),I=1,5)/            +0, -1, +2, -1,  0   /
+      DATA TB( 7)/            +0.032573D0                     /,
+     :     (ITB(I, 7),I=1,5)/            +0, +0, +2, +1,  0   /
+      DATA TB( 8)/            +0.017198D0                     /,
+     :     (ITB(I, 8),I=1,5)/            +0, +2, +0, +1,  0   /
+      DATA TB( 9)/            +0.009267D0                     /,
+     :     (ITB(I, 9),I=1,5)/            +0, +1, +2, -1,  0   /
+      DATA TB(10)/            +0.008823D0                     /,
+     :     (ITB(I,10),I=1,5)/            +0, +2, +0, -1,  0   /
+      DATA TB(11)/            +0.008247D0                     /,
+     :     (ITB(I,11),I=1,5)/            -1, +0, +2, -1,  1   /
+      DATA TB(12)/            +0.004323D0                     /,
+     :     (ITB(I,12),I=1,5)/            +0, -2, +2, -1,  0   /
+      DATA TB(13)/            +0.004200D0                     /,
+     :     (ITB(I,13),I=1,5)/            +0, +1, +2, +1,  0   /
+      DATA TB(14)/            +0.003372D0                     /,
+     :     (ITB(I,14),I=1,5)/            -1, +0, -2, +1,  1   /
+      DATA TB(15)/            +0.002472D0                     /,
+     :     (ITB(I,15),I=1,5)/            -1, -1, +2, +1,  1   /
+      DATA TB(16)/            +0.002222D0                     /,
+     :     (ITB(I,16),I=1,5)/            -1, +0, +2, +1,  1   /
+      DATA TB(17)/            +0.002072D0                     /,
+     :     (ITB(I,17),I=1,5)/            -1, -1, +2, -1,  1   /
+      DATA TB(18)/            +0.001877D0                     /,
+     :     (ITB(I,18),I=1,5)/            -1, +1, +0, +1,  1   /
+      DATA TB(19)/            +0.001828D0                     /,
+     :     (ITB(I,19),I=1,5)/            +0, -1, +4, -1,  0   /
+      DATA TB(20)/            -0.001803D0                     /,
+     :     (ITB(I,20),I=1,5)/            +1, +0, +0, +1,  1   /
+      DATA TB(21)/            -0.001750D0                     /,
+     :     (ITB(I,21),I=1,5)/            +0, +0, +0, +3,  0   /
+      DATA TB(22)/            +0.001570D0                     /,
+     :     (ITB(I,22),I=1,5)/            -1, +1, +0, -1,  1   /
+      DATA TB(23)/            -0.001487D0                     /,
+     :     (ITB(I,23),I=1,5)/            +0, +0, +1, +1,  0   /
+      DATA TB(24)/            -0.001481D0                     /,
+     :     (ITB(I,24),I=1,5)/            +1, +1, +0, +1,  1   /
+      DATA TB(25)/            +0.001417D0                     /,
+     :     (ITB(I,25),I=1,5)/            -1, -1, +0, +1,  1   /
+      DATA TB(26)/            +0.001350D0                     /,
+     :     (ITB(I,26),I=1,5)/            -1, +0, +0, +1,  1   /
+      DATA TB(27)/            +0.001330D0                     /,
+     :     (ITB(I,27),I=1,5)/            +0, +0, -1, +1,  0   /
+      DATA TB(28)/            +0.001106D0                     /,
+     :     (ITB(I,28),I=1,5)/            +0, +3, +0, +1,  0   /
+      DATA TB(29)/            +0.001020D0                     /,
+     :     (ITB(I,29),I=1,5)/            +0, +0, +4, -1,  0   /
+      DATA TB(30)/            +0.000833D0                     /,
+     :     (ITB(I,30),I=1,5)/            +0, -1, +4, +1,  0   /
+      DATA TB(31)/            +0.000781D0                     /,
+     :     (ITB(I,31),I=1,5)/            +0, +1, +0, -3,  0   /
+      DATA TB(32)/            +0.000670D0                     /,
+     :     (ITB(I,32),I=1,5)/            +0, -2, +4, +1,  0   /
+      DATA TB(33)/            +0.000606D0                     /,
+     :     (ITB(I,33),I=1,5)/            +0, +0, +2, -3,  0   /
+      DATA TB(34)/            +0.000597D0                     /,
+     :     (ITB(I,34),I=1,5)/            +0, +2, +2, -1,  0   /
+      DATA TB(35)/            +0.000492D0                     /,
+     :     (ITB(I,35),I=1,5)/            -1, +1, +2, -1,  1   /
+      DATA TB(36)/            +0.000450D0                     /,
+     :     (ITB(I,36),I=1,5)/            +0, +2, -2, -1,  0   /
+      DATA TB(37)/            +0.000439D0                     /,
+     :     (ITB(I,37),I=1,5)/            +0, +3, +0, -1,  0   /
+      DATA TB(38)/            +0.000423D0                     /,
+     :     (ITB(I,38),I=1,5)/            +0, +2, +2, +1,  0   /
+      DATA TB(39)/            +0.000422D0                     /,
+     :     (ITB(I,39),I=1,5)/            +0, -3, +2, -1,  0   /
+      DATA TB(40)/            -0.000367D0                     /,
+     :     (ITB(I,40),I=1,5)/            +1, -1, +2, +1,  1   /
+      DATA TB(41)/            -0.000353D0                     /,
+     :     (ITB(I,41),I=1,5)/            +1, +0, +2, +1,  1   /
+      DATA TB(42)/            +0.000331D0                     /,
+     :     (ITB(I,42),I=1,5)/            +0, +0, +4, +1,  0   /
+      DATA TB(43)/            +0.000317D0                     /,
+     :     (ITB(I,43),I=1,5)/            -1, +1, +2, +1,  1   /
+      DATA TB(44)/            +0.000306D0                     /,
+     :     (ITB(I,44),I=1,5)/            -2, +0, +2, -1,  2   /
+      DATA TB(45)/            -0.000283D0                     /,
+     :     (ITB(I,45),I=1,5)/            +0, +1, +0, +3,  0   /
+*
+*  Parallax
+*                                         M   M'  D   F   n
+      DATA TP( 1)/            +0.950724D0                     /,
+     :     (ITP(I, 1),I=1,5)/            +0, +0, +0, +0,  0   /
+      DATA TP( 2)/            +0.051818D0                     /,
+     :     (ITP(I, 2),I=1,5)/            +0, +1, +0, +0,  0   /
+      DATA TP( 3)/            +0.009531D0                     /,
+     :     (ITP(I, 3),I=1,5)/            +0, -1, +2, +0,  0   /
+      DATA TP( 4)/            +0.007843D0                     /,
+     :     (ITP(I, 4),I=1,5)/            +0, +0, +2, +0,  0   /
+      DATA TP( 5)/            +0.002824D0                     /,
+     :     (ITP(I, 5),I=1,5)/            +0, +2, +0, +0,  0   /
+      DATA TP( 6)/            +0.000857D0                     /,
+     :     (ITP(I, 6),I=1,5)/            +0, +1, +2, +0,  0   /
+      DATA TP( 7)/            +0.000533D0                     /,
+     :     (ITP(I, 7),I=1,5)/            -1, +0, +2, +0,  1   /
+      DATA TP( 8)/            +0.000401D0                     /,
+     :     (ITP(I, 8),I=1,5)/            -1, -1, +2, +0,  1   /
+      DATA TP( 9)/            +0.000320D0                     /,
+     :     (ITP(I, 9),I=1,5)/            -1, +1, +0, +0,  1   /
+      DATA TP(10)/            -0.000271D0                     /,
+     :     (ITP(I,10),I=1,5)/            +0, +0, +1, +0,  0   /
+      DATA TP(11)/            -0.000264D0                     /,
+     :     (ITP(I,11),I=1,5)/            +1, +1, +0, +0,  1   /
+      DATA TP(12)/            -0.000198D0                     /,
+     :     (ITP(I,12),I=1,5)/            +0, -1, +0, +2,  0   /
+      DATA TP(13)/            +0.000173D0                     /,
+     :     (ITP(I,13),I=1,5)/            +0, +3, +0, +0,  0   /
+      DATA TP(14)/            +0.000167D0                     /,
+     :     (ITP(I,14),I=1,5)/            +0, -1, +4, +0,  0   /
+      DATA TP(15)/            -0.000111D0                     /,
+     :     (ITP(I,15),I=1,5)/            +1, +0, +0, +0,  1   /
+      DATA TP(16)/            +0.000103D0                     /,
+     :     (ITP(I,16),I=1,5)/            +0, -2, +4, +0,  0   /
+      DATA TP(17)/            -0.000084D0                     /,
+     :     (ITP(I,17),I=1,5)/            +0, +2, -2, +0,  0   /
+      DATA TP(18)/            -0.000083D0                     /,
+     :     (ITP(I,18),I=1,5)/            +1, +0, +2, +0,  1   /
+      DATA TP(19)/            +0.000079D0                     /,
+     :     (ITP(I,19),I=1,5)/            +0, +2, +2, +0,  0   /
+      DATA TP(20)/            +0.000072D0                     /,
+     :     (ITP(I,20),I=1,5)/            +0, +0, +4, +0,  0   /
+      DATA TP(21)/            +0.000064D0                     /,
+     :     (ITP(I,21),I=1,5)/            -1, +1, +2, +0,  1   /
+      DATA TP(22)/            -0.000063D0                     /,
+     :     (ITP(I,22),I=1,5)/            +1, -1, +2, +0,  1   /
+      DATA TP(23)/            +0.000041D0                     /,
+     :     (ITP(I,23),I=1,5)/            +1, +0, +1, +0,  1   /
+      DATA TP(24)/            +0.000035D0                     /,
+     :     (ITP(I,24),I=1,5)/            -1, +2, +0, +0,  1   /
+      DATA TP(25)/            -0.000033D0                     /,
+     :     (ITP(I,25),I=1,5)/            +0, +3, -2, +0,  0   /
+      DATA TP(26)/            -0.000030D0                     /,
+     :     (ITP(I,26),I=1,5)/            +0, +1, +1, +0,  0   /
+      DATA TP(27)/            -0.000029D0                     /,
+     :     (ITP(I,27),I=1,5)/            +0, +0, -2, +2,  0   /
+      DATA TP(28)/            -0.000029D0                     /,
+     :     (ITP(I,28),I=1,5)/            +1, +2, +0, +0,  1   /
+      DATA TP(29)/            +0.000026D0                     /,
+     :     (ITP(I,29),I=1,5)/            -2, +0, +2, +0,  2   /
+      DATA TP(30)/            -0.000023D0                     /,
+     :     (ITP(I,30),I=1,5)/            +0, +1, -2, +2,  0   /
+      DATA TP(31)/            +0.000019D0                     /,
+     :     (ITP(I,31),I=1,5)/            -1, -1, +4, +0,  1   /
+
+
+
+*  Centuries since J1900
+      T=(DATE-15019.5D0)/36525D0
+
+*
+*  Fundamental arguments (radians) and derivatives (radians per
+*  Julian century) for the current epoch
+*
+
+*  Moon's mean longitude
+      ELP=D2R*MOD(ELP0+(ELP1+(ELP2+ELP3*T)*T)*T,360D0)
+      DELP=D2R*(ELP1+(2D0*ELP2+3D0*ELP3*T)*T)
+
+*  Sun's mean anomaly
+      EM=D2R*MOD(EM0+(EM1+(EM2+EM3*T)*T)*T,360D0)
+      DEM=D2R*(EM1+(2D0*EM2+3D0*EM3*T)*T)
+
+*  Moon's mean anomaly
+      EMP=D2R*MOD(EMP0+(EMP1+(EMP2+EMP3*T)*T)*T,360D0)
+      DEMP=D2R*(EMP1+(2D0*EMP2+3D0*EMP3*T)*T)
+
+*  Moon's mean elongation
+      D=D2R*MOD(D0+(D1+(D2+D3*T)*T)*T,360D0)
+      DD=D2R*(D1+(2D0*D2+3D0*D3*T)*T)
+
+*  Mean distance of the Moon from its ascending node
+      F=D2R*MOD(F0+(F1+(F2+F3*T)*T)*T,360D0)
+      DF=D2R*(F1+(2D0*F2+3D0*F3*T)*T)
+
+*  Longitude of the Moon's ascending node
+      OM=D2R*MOD(OM0+(OM1+(OM2+OM3*T)*T)*T,360D0)
+      DOM=D2R*(OM1+(2D0*OM2+3D0*OM3*T)*T)
+      SINOM=SIN(OM)
+      COSOM=COS(OM)
+      DOMCOM=DOM*COSOM
+
+*  Add the periodic variations
+      THETA=D2R*(PA0+PA1*T)
+      WA=SIN(THETA)
+      DWA=D2R*PA1*COS(THETA)
+      THETA=D2R*(PE0+(PE1+PE2*T)*T)
+      WB=PEC*SIN(THETA)
+      DWB=D2R*PEC*(PE1+2D0*PE2*T)*COS(THETA)
+      ELP=ELP+D2R*(PAC*WA+WB+PFC*SINOM)
+      DELP=DELP+D2R*(PAC*DWA+DWB+PFC*DOMCOM)
+      EM=EM+D2R*PBC*WA
+      DEM=DEM+D2R*PBC*DWA
+      EMP=EMP+D2R*(PCC*WA+WB+PGC*SINOM)
+      DEMP=DEMP+D2R*(PCC*DWA+DWB+PGC*DOMCOM)
+      D=D+D2R*(PDC*WA+WB+PHC*SINOM)
+      DD=DD+D2R*(PDC*DWA+DWB+PHC*DOMCOM)
+      WOM=OM+D2R*(PJ0+PJ1*T)
+      DWOM=DOM+D2R*PJ1
+      SINWOM=SIN(WOM)
+      COSWOM=COS(WOM)
+      F=F+D2R*(WB+PIC*SINOM+PJC*SINWOM)
+      DF=DF+D2R*(DWB+PIC*DOMCOM+PJC*DWOM*COSWOM)
+
+*  E-factor, and square
+      E=1D0+(E1+E2*T)*T
+      DE=E1+2D0*E2*T
+      ESQ=E*E
+      DESQ=2D0*E*DE
+
+*
+*  Series expansions
+*
+
+*  Longitude
+      V=0D0
+      DV=0D0
+      DO N=NL,1,-1
+         COEFF=TL(N)
+         EMN=DBLE(ITL(1,N))
+         EMPN=DBLE(ITL(2,N))
+         DN=DBLE(ITL(3,N))
+         FN=DBLE(ITL(4,N))
+         I=ITL(5,N)
+         IF (I.EQ.0) THEN
+            EN=1D0
+            DEN=0D0
+         ELSE IF (I.EQ.1) THEN
+            EN=E
+            DEN=DE
+         ELSE
+            EN=ESQ
+            DEN=DESQ
+         END IF
+         THETA=EMN*EM+EMPN*EMP+DN*D+FN*F
+         DTHETA=EMN*DEM+EMPN*DEMP+DN*DD+FN*DF
+         FTHETA=SIN(THETA)
+         V=V+COEFF*FTHETA*EN
+         DV=DV+COEFF*(COS(THETA)*DTHETA*EN+FTHETA*DEN)
+      END DO
+      EL=ELP+D2R*V
+      DEL=(DELP+D2R*DV)/CJ
+
+*  Latitude
+      V=0D0
+      DV=0D0
+      DO N=NB,1,-1
+         COEFF=TB(N)
+         EMN=DBLE(ITB(1,N))
+         EMPN=DBLE(ITB(2,N))
+         DN=DBLE(ITB(3,N))
+         FN=DBLE(ITB(4,N))
+         I=ITB(5,N)
+         IF (I.EQ.0) THEN
+            EN=1D0
+            DEN=0D0
+         ELSE IF (I.EQ.1) THEN
+            EN=E
+            DEN=DE
+         ELSE
+            EN=ESQ
+            DEN=DESQ
+         END IF
+         THETA=EMN*EM+EMPN*EMP+DN*D+FN*F
+         DTHETA=EMN*DEM+EMPN*DEMP+DN*DD+FN*DF
+         FTHETA=SIN(THETA)
+         V=V+COEFF*FTHETA*EN
+         DV=DV+COEFF*(COS(THETA)*DTHETA*EN+FTHETA*DEN)
+      END DO
+      BF=1D0-CW1*COSOM-CW2*COSWOM
+      DBF=CW1*DOM*SINOM+CW2*DWOM*SINWOM
+      B=D2R*V*BF
+      DB=D2R*(DV*BF+V*DBF)/CJ
+
+*  Parallax
+      V=0D0
+      DV=0D0
+      DO N=NP,1,-1
+         COEFF=TP(N)
+         EMN=DBLE(ITP(1,N))
+         EMPN=DBLE(ITP(2,N))
+         DN=DBLE(ITP(3,N))
+         FN=DBLE(ITP(4,N))
+         I=ITP(5,N)
+         IF (I.EQ.0) THEN
+            EN=1D0
+            DEN=0D0
+         ELSE IF (I.EQ.1) THEN
+            EN=E
+            DEN=DE
+         ELSE
+            EN=ESQ
+            DEN=DESQ
+         END IF
+         THETA=EMN*EM+EMPN*EMP+DN*D+FN*F
+         DTHETA=EMN*DEM+EMPN*DEMP+DN*DD+FN*DF
+         FTHETA=COS(THETA)
+         V=V+COEFF*FTHETA*EN
+         DV=DV+COEFF*(-SIN(THETA)*DTHETA*EN+FTHETA*DEN)
+      END DO
+      P=D2R*V
+      DP=D2R*DV/CJ
+
+*
+*  Transformation into final form
+*
+
+*  Parallax to distance (AU, AU/sec)
+      SP=SIN(P)
+      R=ERADAU/SP
+      DR=-R*DP*COS(P)/SP
+
+*  Longitude, latitude to x,y,z (AU)
+      SEL=SIN(EL)
+      CEL=COS(EL)
+      SB=SIN(B)
+      CB=COS(B)
+      RCB=R*CB
+      RBD=R*DB
+      W=RBD*SB-CB*DR
+      X=RCB*CEL
+      Y=RCB*SEL
+      Z=R*SB
+      XD=-Y*DEL-W*CEL
+      YD=X*DEL-W*SEL
+      ZD=RBD*CB+SB*DR
+
+*  Julian centuries since J2000
+      T=(DATE-51544.5D0)/36525D0
+
+*  Fricke equinox correction
+      EPJ=2000D0+T*100D0
+      EQCOR=DS2R*(0.035D0+0.00085D0*(EPJ-B1950))
+
+*  Mean obliquity (IAU 1976)
+      EPS=DAS2R*(84381.448D0+(-46.8150D0+(-0.00059D0+0.001813D0*T)*T)*T)
+
+*  To the equatorial system, mean of date, FK5 system
+      SINEPS=SIN(EPS)
+      COSEPS=COS(EPS)
+      ES=EQCOR*SINEPS
+      EC=EQCOR*COSEPS
+      PV(1)=X-EC*Y+ES*Z
+      PV(2)=EQCOR*X+Y*COSEPS-Z*SINEPS
+      PV(3)=Y*SINEPS+Z*COSEPS
+      PV(4)=XD-EC*YD+ES*ZD
+      PV(5)=EQCOR*XD+YD*COSEPS-ZD*SINEPS
+      PV(6)=YD*SINEPS+ZD*COSEPS
+
+      END
+      SUBROUTINE sla_DMXV (DM, VA, VB)
+*+
+*     - - - - -
+*      D M X V
+*     - - - - -
+*
+*  Performs the 3-D forward unitary transformation:
+*
+*     vector VB = matrix DM * vector VA
+*
+*  (double precision)
+*
+*  Given:
+*     DM       dp(3,3)    matrix
+*     VA       dp(3)      vector
+*
+*  Returned:
+*     VB       dp(3)      result vector
+*
+*  To comply with the ANSI Fortran 77 standard, VA and VB must be
+*  different arrays.  However, the routine is coded so as to work
+*  properly on many platforms even if this rule is violated.
+*
+*  Last revision:   26 December 2004
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION DM(3,3),VA(3),VB(3)
+
+      INTEGER I,J
+      DOUBLE PRECISION W,VW(3)
+
+
+*  Matrix DM * vector VA -> vector VW
+      DO J=1,3
+         W=0D0
+         DO I=1,3
+            W=W+DM(J,I)*VA(I)
+         END DO
+         VW(J)=W
+      END DO
+
+*  Vector VW -> vector VB
+      DO J=1,3
+         VB(J)=VW(J)
+      END DO
+
+      END
+      DOUBLE PRECISION FUNCTION sla_DRANGE (ANGLE)
+*+
+*     - - - - - - -
+*      D R A N G E
+*     - - - - - - -
+*
+*  Normalize angle into range +/- pi  (double precision)
+*
+*  Given:
+*     ANGLE     dp      the angle in radians
+*
+*  The result (double precision) is ANGLE expressed in the range +/- pi.
+*
+*  P.T.Wallace   Starlink   23 November 1995
+*
+*  Copyright (C) 1995 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION ANGLE
+
+      DOUBLE PRECISION DPI,D2PI
+      PARAMETER (DPI=3.141592653589793238462643D0)
+      PARAMETER (D2PI=6.283185307179586476925287D0)
+
+
+      sla_DRANGE=MOD(ANGLE,D2PI)
+      IF (ABS(sla_DRANGE).GE.DPI)
+     :          sla_DRANGE=sla_DRANGE-SIGN(D2PI,ANGLE)
+
+      END
+      DOUBLE PRECISION FUNCTION sla_DRANRM (ANGLE)
+*+
+*     - - - - - - -
+*      D R A N R M
+*     - - - - - - -
+*
+*  Normalize angle into range 0-2 pi  (double precision)
+*
+*  Given:
+*     ANGLE     dp      the angle in radians
+*
+*  The result is ANGLE expressed in the range 0-2 pi.
+*
+*  Last revision:   22 July 2004
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION ANGLE
+
+      DOUBLE PRECISION D2PI
+      PARAMETER (D2PI=6.283185307179586476925286766559D0)
+
+
+      sla_DRANRM = MOD(ANGLE,D2PI)
+      IF (sla_DRANRM.LT.0D0) sla_DRANRM = sla_DRANRM+D2PI
+
+      END
+      DOUBLE PRECISION FUNCTION sla_DTT (UTC)
+*+
+*     - - - -
+*      D T T
+*     - - - -
+*
+*  Increment to be applied to Coordinated Universal Time UTC to give
+*  Terrestrial Time TT (formerly Ephemeris Time ET)
+*
+*  (double precision)
+*
+*  Given:
+*     UTC      d      UTC date as a modified JD (JD-2400000.5)
+*
+*  Result:  TT-UTC in seconds
+*
+*  Notes:
+*
+*  1  The UTC is specified to be a date rather than a time to indicate
+*     that care needs to be taken not to specify an instant which lies
+*     within a leap second.  Though in most cases UTC can include the
+*     fractional part, correct behaviour on the day of a leap second
+*     can only be guaranteed up to the end of the second 23:59:59.
+*
+*  2  Pre 1972 January 1 a fixed value of 10 + ET-TAI is returned.
+*
+*  3  See also the routine sla_DT, which roughly estimates ET-UT for
+*     historical epochs.
+*
+*  Called:  sla_DAT
+*
+*  P.T.Wallace   Starlink   6 December 1994
+*
+*  Copyright (C) 1995 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION UTC
+
+      DOUBLE PRECISION sla_DAT
+
+
+      sla_DTT=32.184D0+sla_DAT(UTC)
+
+      END
+      SUBROUTINE sla_ECMAT (DATE, RMAT)
+*+
+*     - - - - - -
+*      E C M A T
+*     - - - - - -
+*
+*  Form the equatorial to ecliptic rotation matrix - IAU 1980 theory
+*  (double precision)
+*
+*  Given:
+*     DATE     dp         TDB (loosely ET) as Modified Julian Date
+*                                            (JD-2400000.5)
+*  Returned:
+*     RMAT     dp(3,3)    matrix
+*
+*  Reference:
+*     Murray,C.A., Vectorial Astrometry, section 4.3.
+*
+*  Note:
+*    The matrix is in the sense   V(ecl)  =  RMAT * V(equ);  the
+*    equator, equinox and ecliptic are mean of date.
+*
+*  Called:  sla_DEULER
+*
+*  P.T.Wallace   Starlink   23 August 1996
+*
+*  Copyright (C) 1996 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION DATE,RMAT(3,3)
+
+*  Arc seconds to radians
+      DOUBLE PRECISION AS2R
+      PARAMETER (AS2R=0.484813681109535994D-5)
+
+      DOUBLE PRECISION T,EPS0
+
+
+
+*  Interval between basic epoch J2000.0 and current epoch (JC)
+      T = (DATE-51544.5D0)/36525D0
+
+*  Mean obliquity
+      EPS0 = AS2R*
+     :   (84381.448D0+(-46.8150D0+(-0.00059D0+0.001813D0*T)*T)*T)
+
+*  Matrix
+      CALL sla_DEULER('X',EPS0,0D0,0D0,RMAT)
+
+      END
+      DOUBLE PRECISION FUNCTION sla_EPJ (DATE)
+*+
+*     - - - -
+*      E P J
+*     - - - -
+*
+*  Conversion of Modified Julian Date to Julian Epoch (double precision)
+*
+*  Given:
+*     DATE     dp       Modified Julian Date (JD - 2400000.5)
+*
+*  The result is the Julian Epoch.
+*
+*  Reference:
+*     Lieske,J.H., 1979. Astron.Astrophys.,73,282.
+*
+*  P.T.Wallace   Starlink   February 1984
+*
+*  Copyright (C) 1995 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION DATE
+
+
+      sla_EPJ = 2000D0 + (DATE-51544.5D0)/365.25D0
+
+      END
+      SUBROUTINE sla_EQECL (DR, DD, DATE, DL, DB)
+*+
+*     - - - - - -
+*      E Q E C L
+*     - - - - - -
+*
+*  Transformation from J2000.0 equatorial coordinates to
+*  ecliptic coordinates (double precision)
+*
+*  Given:
+*     DR,DD       dp      J2000.0 mean RA,Dec (radians)
+*     DATE        dp      TDB (loosely ET) as Modified Julian Date
+*                                              (JD-2400000.5)
+*  Returned:
+*     DL,DB       dp      ecliptic longitude and latitude
+*                         (mean of date, IAU 1980 theory, radians)
+*
+*  Called:
+*     sla_DCS2C, sla_PREC, sla_EPJ, sla_DMXV, sla_ECMAT, sla_DCC2S,
+*     sla_DRANRM, sla_DRANGE
+*
+*  P.T.Wallace   Starlink   March 1986
+*
+*  Copyright (C) 1995 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION DR,DD,DATE,DL,DB
+
+      DOUBLE PRECISION sla_EPJ,sla_DRANRM,sla_DRANGE
+
+      DOUBLE PRECISION RMAT(3,3),V1(3),V2(3)
+
+
+
+*  Spherical to Cartesian
+      CALL sla_DCS2C(DR,DD,V1)
+
+*  Mean J2000 to mean of date
+      CALL sla_PREC(2000D0,sla_EPJ(DATE),RMAT)
+      CALL sla_DMXV(RMAT,V1,V2)
+
+*  Equatorial to ecliptic
+      CALL sla_ECMAT(DATE,RMAT)
+      CALL sla_DMXV(RMAT,V2,V1)
+
+*  Cartesian to spherical
+      CALL sla_DCC2S(V1,DL,DB)
+
+*  Express in conventional ranges
+      DL=sla_DRANRM(DL)
+      DB=sla_DRANGE(DB)
+
+      END
+      DOUBLE PRECISION FUNCTION sla_EQEQX (DATE)
+*+
+*     - - - - - -
+*      E Q E Q X
+*     - - - - - -
+*
+*  Equation of the equinoxes  (IAU 1994, double precision)
+*
+*  Given:
+*     DATE    dp      TDB (loosely ET) as Modified Julian Date
+*                                          (JD-2400000.5)
+*
+*  The result is the equation of the equinoxes (double precision)
+*  in radians:
+*
+*     Greenwich apparent ST = GMST + sla_EQEQX
+*
+*  References:  IAU Resolution C7, Recommendation 3 (1994)
+*               Capitaine, N. & Gontier, A.-M., Astron. Astrophys.,
+*               275, 645-650 (1993)
+*
+*  Called:  sla_NUTC
+*
+*  Patrick Wallace   Starlink   23 August 1996
+*
+*  Copyright (C) 1996 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION DATE
+
+*  Turns to arc seconds and arc seconds to radians
+      DOUBLE PRECISION T2AS,AS2R
+      PARAMETER (T2AS=1296000D0,
+     :           AS2R=0.484813681109535994D-5)
+
+      DOUBLE PRECISION T,OM,DPSI,DEPS,EPS0
+
+
+
+*  Interval between basic epoch J2000.0 and current epoch (JC)
+      T=(DATE-51544.5D0)/36525D0
+
+*  Longitude of the mean ascending node of the lunar orbit on the
+*   ecliptic, measured from the mean equinox of date
+      OM=AS2R*(450160.280D0+(-5D0*T2AS-482890.539D0
+     :         +(7.455D0+0.008D0*T)*T)*T)
+
+*  Nutation
+      CALL sla_NUTC(DATE,DPSI,DEPS,EPS0)
+
+*  Equation of the equinoxes
+      sla_EQEQX=DPSI*COS(EPS0)+AS2R*(0.00264D0*SIN(OM)+
+     :                               0.000063D0*SIN(OM+OM))
+
+      END
+      SUBROUTINE sla_GEOC (P, H, R, Z)
+*+
+*     - - - - -
+*      G E O C
+*     - - - - -
+*
+*  Convert geodetic position to geocentric (double precision)
+*
+*  Given:
+*     P     dp     latitude (geodetic, radians)
+*     H     dp     height above reference spheroid (geodetic, metres)
+*
+*  Returned:
+*     R     dp     distance from Earth axis (AU)
+*     Z     dp     distance from plane of Earth equator (AU)
+*
+*  Notes:
+*
+*  1  Geocentric latitude can be obtained by evaluating ATAN2(Z,R).
+*
+*  2  IAU 1976 constants are used.
+*
+*  Reference:
+*
+*     Green,R.M., Spherical Astronomy, CUP 1985, p98.
+*
+*  Last revision:   22 July 2004
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION P,H,R,Z
+
+*  Earth equatorial radius (metres)
+      DOUBLE PRECISION A0
+      PARAMETER (A0=6378140D0)
+
+*  Reference spheroid flattening factor and useful function
+      DOUBLE PRECISION F,B
+      PARAMETER (F=1D0/298.257D0,B=(1D0-F)**2)
+
+*  Astronomical unit in metres
+      DOUBLE PRECISION AU
+      PARAMETER (AU=1.49597870D11)
+
+      DOUBLE PRECISION SP,CP,C,S
+
+
+
+*  Geodetic to geocentric conversion
+      SP = SIN(P)
+      CP = COS(P)
+      C = 1D0/SQRT(CP*CP+B*SP*SP)
+      S = B*C
+      R = (A0*C+H)*CP/AU
+      Z = (A0*S+H)*SP/AU
+
+      END
+      DOUBLE PRECISION FUNCTION sla_GMST (UT1)
+*+
+*     - - - - -
+*      G M S T
+*     - - - - -
+*
+*  Conversion from universal time to sidereal time (double precision)
+*
+*  Given:
+*    UT1    dp     universal time (strictly UT1) expressed as
+*                  modified Julian Date (JD-2400000.5)
+*
+*  The result is the Greenwich mean sidereal time (double
+*  precision, radians).
+*
+*  The IAU 1982 expression (see page S15 of 1984 Astronomical Almanac)
+*  is used, but rearranged to reduce rounding errors.  This expression
+*  is always described as giving the GMST at 0 hours UT.  In fact, it
+*  gives the difference between the GMST and the UT, which happens to
+*  equal the GMST (modulo 24 hours) at 0 hours UT each day.  In this
+*  routine, the entire UT is used directly as the argument for the
+*  standard formula, and the fractional part of the UT is added
+*  separately.  Note that the factor 1.0027379... does not appear in the
+*  IAU 1982 expression explicitly but in the form of the coefficient
+*  8640184.812866, which is 86400x36525x0.0027379...
+*
+*  See also the routine sla_GMSTA, which delivers better numerical
+*  precision by accepting the UT date and time as separate arguments.
+*
+*  Called:  sla_DRANRM
+*
+*  P.T.Wallace   Starlink   14 October 2001
+*
+*  Copyright (C) 2001 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION UT1
+
+      DOUBLE PRECISION sla_DRANRM
+
+      DOUBLE PRECISION D2PI,S2R
+      PARAMETER (D2PI=6.283185307179586476925286766559D0,
+     :           S2R=7.272205216643039903848711535369D-5)
+
+      DOUBLE PRECISION TU
+
+
+
+*  Julian centuries from fundamental epoch J2000 to this UT
+      TU=(UT1-51544.5D0)/36525D0
+
+*  GMST at this UT
+      sla_GMST=sla_DRANRM(MOD(UT1,1D0)*D2PI+
+     :                    (24110.54841D0+
+     :                    (8640184.812866D0+
+     :                    (0.093104D0-6.2D-6*TU)*TU)*TU)*S2R)
+
+      END
+      SUBROUTINE sla_NUTC (DATE, DPSI, DEPS, EPS0)
+*+
+*     - - - - -
+*      N U T C
+*     - - - - -
+*
+*  Nutation:  longitude & obliquity components and mean obliquity,
+*  using the Shirai & Fukushima (2001) theory.
+*
+*  Given:
+*     DATE        d    TDB (loosely ET) as Modified Julian Date
+*                                            (JD-2400000.5)
+*  Returned:
+*     DPSI,DEPS   d    nutation in longitude,obliquity
+*     EPS0        d    mean obliquity
+*
+*  Notes:
+*
+*  1  The routine predicts forced nutation (but not free core nutation)
+*     plus corrections to the IAU 1976 precession model.
+*
+*  2  Earth attitude predictions made by combining the present nutation
+*     model with IAU 1976 precession are accurate to 1 mas (with respect
+*     to the ICRF) for a few decades around 2000.
+*
+*  3  The sla_NUTC80 routine is the equivalent of the present routine
+*     but using the IAU 1980 nutation theory.  The older theory is less
+*     accurate, leading to errors as large as 350 mas over the interval
+*     1900-2100, mainly because of the error in the IAU 1976 precession.
+*
+*  References:
+*
+*     Shirai, T. & Fukushima, T., Astron.J. 121, 3270-3283 (2001).
+*
+*     Fukushima, T., Astron.Astrophys. 244, L11 (1991).
+*
+*     Simon, J. L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+*     Francou, G. & Laskar, J., Astron.Astrophys. 282, 663 (1994).
+*
+*  This revision:   24 November 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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION DATE,DPSI,DEPS,EPS0
+
+*  Degrees to radians
+      DOUBLE PRECISION DD2R
+      PARAMETER (DD2R=1.745329251994329576923691D-2)
+
+*  Arc seconds to radians
+      DOUBLE PRECISION DAS2R
+      PARAMETER (DAS2R=4.848136811095359935899141D-6)
+
+*  Arc seconds in a full circle
+      DOUBLE PRECISION TURNAS
+      PARAMETER (TURNAS=1296000D0)
+
+*  Reference epoch (J2000), MJD
+      DOUBLE PRECISION DJM0
+      PARAMETER (DJM0=51544.5D0 )
+
+*  Days per Julian century
+      DOUBLE PRECISION DJC
+      PARAMETER (DJC=36525D0)
+
+      INTEGER I,J
+      DOUBLE PRECISION T,EL,ELP,F,D,OM,VE,MA,JU,SA,THETA,C,S,DP,DE
+
+*  Number of terms in the nutation model
+      INTEGER NTERMS
+      PARAMETER (NTERMS=194)
+
+*  The SF2001 forced nutation model
+      INTEGER NA(9,NTERMS)
+      DOUBLE PRECISION PSI(4,NTERMS), EPS(4,NTERMS)
+
+*  Coefficients of fundamental angles
+      DATA ( ( NA(I,J), I=1,9 ), J=1,10 ) /
+     :    0,   0,   0,   0,  -1,   0,   0,   0,   0,
+     :    0,   0,   2,  -2,   2,   0,   0,   0,   0,
+     :    0,   0,   2,   0,   2,   0,   0,   0,   0,
+     :    0,   0,   0,   0,  -2,   0,   0,   0,   0,
+     :    0,   1,   0,   0,   0,   0,   0,   0,   0,
+     :    0,   1,   2,  -2,   2,   0,   0,   0,   0,
+     :    1,   0,   0,   0,   0,   0,   0,   0,   0,
+     :    0,   0,   2,   0,   1,   0,   0,   0,   0,
+     :    1,   0,   2,   0,   2,   0,   0,   0,   0,
+     :    0,  -1,   2,  -2,   2,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=11,20 ) /
+     :    0,   0,   2,  -2,   1,   0,   0,   0,   0,
+     :   -1,   0,   2,   0,   2,   0,   0,   0,   0,
+     :   -1,   0,   0,   2,   0,   0,   0,   0,   0,
+     :    1,   0,   0,   0,   1,   0,   0,   0,   0,
+     :    1,   0,   0,   0,  -1,   0,   0,   0,   0,
+     :   -1,   0,   2,   2,   2,   0,   0,   0,   0,
+     :    1,   0,   2,   0,   1,   0,   0,   0,   0,
+     :   -2,   0,   2,   0,   1,   0,   0,   0,   0,
+     :    0,   0,   0,   2,   0,   0,   0,   0,   0,
+     :    0,   0,   2,   2,   2,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=21,30 ) /
+     :    2,   0,   0,  -2,   0,   0,   0,   0,   0,
+     :    2,   0,   2,   0,   2,   0,   0,   0,   0,
+     :    1,   0,   2,  -2,   2,   0,   0,   0,   0,
+     :   -1,   0,   2,   0,   1,   0,   0,   0,   0,
+     :    2,   0,   0,   0,   0,   0,   0,   0,   0,
+     :    0,   0,   2,   0,   0,   0,   0,   0,   0,
+     :    0,   1,   0,   0,   1,   0,   0,   0,   0,
+     :   -1,   0,   0,   2,   1,   0,   0,   0,   0,
+     :    0,   2,   2,  -2,   2,   0,   0,   0,   0,
+     :    0,   0,   2,  -2,   0,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=31,40 ) /
+     :   -1,   0,   0,   2,  -1,   0,   0,   0,   0,
+     :    0,   1,   0,   0,  -1,   0,   0,   0,   0,
+     :    0,   2,   0,   0,   0,   0,   0,   0,   0,
+     :   -1,   0,   2,   2,   1,   0,   0,   0,   0,
+     :    1,   0,   2,   2,   2,   0,   0,   0,   0,
+     :    0,   1,   2,   0,   2,   0,   0,   0,   0,
+     :   -2,   0,   2,   0,   0,   0,   0,   0,   0,
+     :    0,   0,   2,   2,   1,   0,   0,   0,   0,
+     :    0,  -1,   2,   0,   2,   0,   0,   0,   0,
+     :    0,   0,   0,   2,   1,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=41,50 ) /
+     :    1,   0,   2,  -2,   1,   0,   0,   0,   0,
+     :    2,   0,   0,  -2,  -1,   0,   0,   0,   0,
+     :    2,   0,   2,  -2,   2,   0,   0,   0,   0,
+     :    2,   0,   2,   0,   1,   0,   0,   0,   0,
+     :    0,   0,   0,   2,  -1,   0,   0,   0,   0,
+     :    0,  -1,   2,  -2,   1,   0,   0,   0,   0,
+     :   -1,  -1,   0,   2,   0,   0,   0,   0,   0,
+     :    2,   0,   0,  -2,   1,   0,   0,   0,   0,
+     :    1,   0,   0,   2,   0,   0,   0,   0,   0,
+     :    0,   1,   2,  -2,   1,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=51,60 ) /
+     :    1,  -1,   0,   0,   0,   0,   0,   0,   0,
+     :   -2,   0,   2,   0,   2,   0,   0,   0,   0,
+     :    0,  -1,   0,   2,   0,   0,   0,   0,   0,
+     :    3,   0,   2,   0,   2,   0,   0,   0,   0,
+     :    0,   0,   0,   1,   0,   0,   0,   0,   0,
+     :    1,  -1,   2,   0,   2,   0,   0,   0,   0,
+     :    1,   0,   0,  -1,   0,   0,   0,   0,   0,
+     :   -1,  -1,   2,   2,   2,   0,   0,   0,   0,
+     :   -1,   0,   2,   0,   0,   0,   0,   0,   0,
+     :    2,   0,   0,   0,  -1,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=61,70 ) /
+     :    0,  -1,   2,   2,   2,   0,   0,   0,   0,
+     :    1,   1,   2,   0,   2,   0,   0,   0,   0,
+     :    2,   0,   0,   0,   1,   0,   0,   0,   0,
+     :    1,   1,   0,   0,   0,   0,   0,   0,   0,
+     :    1,   0,  -2,   2,  -1,   0,   0,   0,   0,
+     :    1,   0,   2,   0,   0,   0,   0,   0,   0,
+     :   -1,   1,   0,   1,   0,   0,   0,   0,   0,
+     :    1,   0,   0,   0,   2,   0,   0,   0,   0,
+     :   -1,   0,   1,   0,   1,   0,   0,   0,   0,
+     :    0,   0,   2,   1,   2,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=71,80 ) /
+     :   -1,   1,   0,   1,   1,   0,   0,   0,   0,
+     :   -1,   0,   2,   4,   2,   0,   0,   0,   0,
+     :    0,  -2,   2,  -2,   1,   0,   0,   0,   0,
+     :    1,   0,   2,   2,   1,   0,   0,   0,   0,
+     :    1,   0,   0,   0,  -2,   0,   0,   0,   0,
+     :   -2,   0,   2,   2,   2,   0,   0,   0,   0,
+     :    1,   1,   2,  -2,   2,   0,   0,   0,   0,
+     :   -2,   0,   2,   4,   2,   0,   0,   0,   0,
+     :   -1,   0,   4,   0,   2,   0,   0,   0,   0,
+     :    2,   0,   2,  -2,   1,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=81,90 ) /
+     :    1,   0,   0,  -1,  -1,   0,   0,   0,   0,
+     :    2,   0,   2,   2,   2,   0,   0,   0,   0,
+     :    1,   0,   0,   2,   1,   0,   0,   0,   0,
+     :    3,   0,   0,   0,   0,   0,   0,   0,   0,
+     :    0,   0,   2,  -2,  -1,   0,   0,   0,   0,
+     :    3,   0,   2,  -2,   2,   0,   0,   0,   0,
+     :    0,   0,   4,  -2,   2,   0,   0,   0,   0,
+     :   -1,   0,   0,   4,   0,   0,   0,   0,   0,
+     :    0,   1,   2,   0,   1,   0,   0,   0,   0,
+     :    0,   0,   2,  -2,   3,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=91,100 ) /
+     :   -2,   0,   0,   4,   0,   0,   0,   0,   0,
+     :   -1,  -1,   0,   2,   1,   0,   0,   0,   0,
+     :   -2,   0,   2,   0,  -1,   0,   0,   0,   0,
+     :    0,   0,   2,   0,  -1,   0,   0,   0,   0,
+     :    0,  -1,   2,   0,   1,   0,   0,   0,   0,
+     :    0,   1,   0,   0,   2,   0,   0,   0,   0,
+     :    0,   0,   2,  -1,   2,   0,   0,   0,   0,
+     :    2,   1,   0,  -2,   0,   0,   0,   0,   0,
+     :    0,   0,   2,   4,   2,   0,   0,   0,   0,
+     :   -1,  -1,   0,   2,  -1,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=101,110 ) /
+     :   -1,   1,   0,   2,   0,   0,   0,   0,   0,
+     :    1,  -1,   0,   0,   1,   0,   0,   0,   0,
+     :    0,  -1,   2,  -2,   0,   0,   0,   0,   0,
+     :    0,   1,   0,   0,  -2,   0,   0,   0,   0,
+     :    1,  -1,   2,   2,   2,   0,   0,   0,   0,
+     :    1,   0,   0,   2,  -1,   0,   0,   0,   0,
+     :   -1,   1,   2,   2,   2,   0,   0,   0,   0,
+     :    3,   0,   2,   0,   1,   0,   0,   0,   0,
+     :    0,   1,   2,   2,   2,   0,   0,   0,   0,
+     :    1,   0,   2,  -2,   0,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=111,120 ) /
+     :   -1,   0,  -2,   4,  -1,   0,   0,   0,   0,
+     :   -1,  -1,   2,   2,   1,   0,   0,   0,   0,
+     :    0,  -1,   2,   2,   1,   0,   0,   0,   0,
+     :    2,  -1,   2,   0,   2,   0,   0,   0,   0,
+     :    0,   0,   0,   2,   2,   0,   0,   0,   0,
+     :    1,  -1,   2,   0,   1,   0,   0,   0,   0,
+     :   -1,   1,   2,   0,   2,   0,   0,   0,   0,
+     :    0,   1,   0,   2,   0,   0,   0,   0,   0,
+     :    0,   1,   2,  -2,   0,   0,   0,   0,   0,
+     :    0,   3,   2,  -2,   2,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=121,130 ) /
+     :    0,   0,   0,   1,   1,   0,   0,   0,   0,
+     :   -1,   0,   2,   2,   0,   0,   0,   0,   0,
+     :    2,   1,   2,   0,   2,   0,   0,   0,   0,
+     :    1,   1,   0,   0,   1,   0,   0,   0,   0,
+     :    2,   0,   0,   2,   0,   0,   0,   0,   0,
+     :    1,   1,   2,   0,   1,   0,   0,   0,   0,
+     :   -1,   0,   0,   2,   2,   0,   0,   0,   0,
+     :    1,   0,  -2,   2,   0,   0,   0,   0,   0,
+     :    0,  -1,   0,   2,  -1,   0,   0,   0,   0,
+     :   -1,   0,   1,   0,   2,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=131,140 ) /
+     :    0,   1,   0,   1,   0,   0,   0,   0,   0,
+     :    1,   0,  -2,   2,  -2,   0,   0,   0,   0,
+     :    0,   0,   0,   1,  -1,   0,   0,   0,   0,
+     :    1,  -1,   0,   0,  -1,   0,   0,   0,   0,
+     :    0,   0,   0,   4,   0,   0,   0,   0,   0,
+     :    1,  -1,   0,   2,   0,   0,   0,   0,   0,
+     :    1,   0,   2,   1,   2,   0,   0,   0,   0,
+     :    1,   0,   2,  -1,   2,   0,   0,   0,   0,
+     :   -1,   0,   0,   2,  -2,   0,   0,   0,   0,
+     :    0,   0,   2,   1,   1,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=141,150 ) /
+     :   -1,   0,   2,   0,  -1,   0,   0,   0,   0,
+     :   -1,   0,   2,   4,   1,   0,   0,   0,   0,
+     :    0,   0,   2,   2,   0,   0,   0,   0,   0,
+     :    1,   1,   2,  -2,   1,   0,   0,   0,   0,
+     :    0,   0,   1,   0,   1,   0,   0,   0,   0,
+     :   -1,   0,   2,  -1,   1,   0,   0,   0,   0,
+     :   -2,   0,   2,   2,   1,   0,   0,   0,   0,
+     :    2,  -1,   0,   0,   0,   0,   0,   0,   0,
+     :    4,   0,   2,   0,   2,   0,   0,   0,   0,
+     :    2,   1,   2,  -2,   2,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=151,160 ) /
+     :    0,   1,   2,   1,   2,   0,   0,   0,   0,
+     :    1,   0,   4,  -2,   2,   0,   0,   0,   0,
+     :    1,   1,   0,   0,  -1,   0,   0,   0,   0,
+     :   -2,   0,   2,   4,   1,   0,   0,   0,   0,
+     :    2,   0,   2,   0,   0,   0,   0,   0,   0,
+     :   -1,   0,   1,   0,   0,   0,   0,   0,   0,
+     :    1,   0,   0,   1,   0,   0,   0,   0,   0,
+     :    0,   1,   0,   2,   1,   0,   0,   0,   0,
+     :   -1,   0,   4,   0,   1,   0,   0,   0,   0,
+     :   -1,   0,   0,   4,   1,   0,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=161,170 ) /
+     :    2,   0,   2,   2,   1,   0,   0,   0,   0,
+     :    2,   1,   0,   0,   0,   0,   0,   0,   0,
+     :    0,   0,   5,  -5,   5,  -3,   0,   0,   0,
+     :    0,   0,   0,   0,   0,   0,   0,   2,   0,
+     :    0,   0,   1,  -1,   1,   0,   0,  -1,   0,
+     :    0,   0,  -1,   1,  -1,   1,   0,   0,   0,
+     :    0,   0,  -1,   1,   0,   0,   2,   0,   0,
+     :    0,   0,   3,  -3,   3,   0,   0,  -1,   0,
+     :    0,   0,  -8,   8,  -7,   5,   0,   0,   0,
+     :    0,   0,  -1,   1,  -1,   0,   2,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=171,180 ) /
+     :    0,   0,  -2,   2,  -2,   2,   0,   0,   0,
+     :    0,   0,  -6,   6,  -6,   4,   0,   0,   0,
+     :    0,   0,  -2,   2,  -2,   0,   8,  -3,   0,
+     :    0,   0,   6,  -6,   6,   0,  -8,   3,   0,
+     :    0,   0,   4,  -4,   4,  -2,   0,   0,   0,
+     :    0,   0,  -3,   3,  -3,   2,   0,   0,   0,
+     :    0,   0,   4,  -4,   3,   0,  -8,   3,   0,
+     :    0,   0,  -4,   4,  -5,   0,   8,  -3,   0,
+     :    0,   0,   0,   0,   0,   2,   0,   0,   0,
+     :    0,   0,  -4,   4,  -4,   3,   0,   0,   0 /
+      DATA ( ( NA(I,J), I=1,9 ), J=181,190 ) /
+     :    0,   1,  -1,   1,  -1,   0,   0,   1,   0,
+     :    0,   0,   0,   0,   0,   0,   0,   1,   0,
+     :    0,   0,   1,  -1,   1,   1,   0,   0,   0,
+     :    0,   0,   2,  -2,   2,   0,  -2,   0,   0,
+     :    0,  -1,  -7,   7,  -7,   5,   0,   0,   0,
+     :   -2,   0,   2,   0,   2,   0,   0,  -2,   0,
+     :   -2,   0,   2,   0,   1,   0,   0,  -3,   0,
+     :    0,   0,   2,  -2,   2,   0,   0,  -2,   0,
+     :    0,   0,   1,  -1,   1,   0,   0,   1,   0,
+     :    0,   0,   0,   0,   0,   0,   0,   0,   2 /
+      DATA ( ( NA(I,J), I=1,9 ), J=191,NTERMS ) /
+     :    0,   0,   0,   0,   0,   0,   0,   0,   1,
+     :    2,   0,  -2,   0,  -2,   0,   0,   3,   0,
+     :    0,   0,   1,  -1,   1,   0,   0,  -2,   0,
+     :    0,   0,  -7,   7,  -7,   5,   0,   0,   0 /
+
+*  Nutation series: longitude
+      DATA ( ( PSI(I,J), I=1,4 ), J=1,10 ) /
+     :  3341.5D0, 17206241.8D0,  3.1D0, 17409.5D0,
+     : -1716.8D0, -1317185.3D0,  1.4D0,  -156.8D0,
+     :   285.7D0,  -227667.0D0,  0.3D0,   -23.5D0,
+     :   -68.6D0,  -207448.0D0,  0.0D0,   -21.4D0,
+     :   950.3D0,   147607.9D0, -2.3D0,  -355.0D0,
+     :   -66.7D0,   -51689.1D0,  0.2D0,   122.6D0,
+     :  -108.6D0,    71117.6D0,  0.0D0,     7.0D0,
+     :    35.6D0,   -38740.2D0,  0.1D0,   -36.2D0,
+     :    85.4D0,   -30127.6D0,  0.0D0,    -3.1D0,
+     :     9.0D0,    21583.0D0,  0.1D0,   -50.3D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=11,20 ) /
+     :    22.1D0,    12822.8D0,  0.0D0,    13.3D0,
+     :     3.4D0,    12350.8D0,  0.0D0,     1.3D0,
+     :   -21.1D0,    15699.4D0,  0.0D0,     1.6D0,
+     :     4.2D0,     6313.8D0,  0.0D0,     6.2D0,
+     :   -22.8D0,     5796.9D0,  0.0D0,     6.1D0,
+     :    15.7D0,    -5961.1D0,  0.0D0,    -0.6D0,
+     :    13.1D0,    -5159.1D0,  0.0D0,    -4.6D0,
+     :     1.8D0,     4592.7D0,  0.0D0,     4.5D0,
+     :   -17.5D0,     6336.0D0,  0.0D0,     0.7D0,
+     :    16.3D0,    -3851.1D0,  0.0D0,    -0.4D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=21,30 ) /
+     :    -2.8D0,     4771.7D0,  0.0D0,     0.5D0,
+     :    13.8D0,    -3099.3D0,  0.0D0,    -0.3D0,
+     :     0.2D0,     2860.3D0,  0.0D0,     0.3D0,
+     :     1.4D0,     2045.3D0,  0.0D0,     2.0D0,
+     :    -8.6D0,     2922.6D0,  0.0D0,     0.3D0,
+     :    -7.7D0,     2587.9D0,  0.0D0,     0.2D0,
+     :     8.8D0,    -1408.1D0,  0.0D0,     3.7D0,
+     :     1.4D0,     1517.5D0,  0.0D0,     1.5D0,
+     :    -1.9D0,    -1579.7D0,  0.0D0,     7.7D0,
+     :     1.3D0,    -2178.6D0,  0.0D0,    -0.2D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=31,40 ) /
+     :    -4.8D0,     1286.8D0,  0.0D0,     1.3D0,
+     :     6.3D0,     1267.2D0,  0.0D0,    -4.0D0,
+     :    -1.0D0,     1669.3D0,  0.0D0,    -8.3D0,
+     :     2.4D0,    -1020.0D0,  0.0D0,    -0.9D0,
+     :     4.5D0,     -766.9D0,  0.0D0,     0.0D0,
+     :    -1.1D0,      756.5D0,  0.0D0,    -1.7D0,
+     :    -1.4D0,    -1097.3D0,  0.0D0,    -0.5D0,
+     :     2.6D0,     -663.0D0,  0.0D0,    -0.6D0,
+     :     0.8D0,     -714.1D0,  0.0D0,     1.6D0,
+     :     0.4D0,     -629.9D0,  0.0D0,    -0.6D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=41,50 ) /
+     :     0.3D0,      580.4D0,  0.0D0,     0.6D0,
+     :    -1.6D0,      577.3D0,  0.0D0,     0.5D0,
+     :    -0.9D0,      644.4D0,  0.0D0,     0.0D0,
+     :     2.2D0,     -534.0D0,  0.0D0,    -0.5D0,
+     :    -2.5D0,      493.3D0,  0.0D0,     0.5D0,
+     :    -0.1D0,     -477.3D0,  0.0D0,    -2.4D0,
+     :    -0.9D0,      735.0D0,  0.0D0,    -1.7D0,
+     :     0.7D0,      406.2D0,  0.0D0,     0.4D0,
+     :    -2.8D0,      656.9D0,  0.0D0,     0.0D0,
+     :     0.6D0,      358.0D0,  0.0D0,     2.0D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=51,60 ) /
+     :    -0.7D0,      472.5D0,  0.0D0,    -1.1D0,
+     :    -0.1D0,     -300.5D0,  0.0D0,     0.0D0,
+     :    -1.2D0,      435.1D0,  0.0D0,    -1.0D0,
+     :     1.8D0,     -289.4D0,  0.0D0,     0.0D0,
+     :     0.6D0,     -422.6D0,  0.0D0,     0.0D0,
+     :     0.8D0,     -287.6D0,  0.0D0,     0.6D0,
+     :   -38.6D0,     -392.3D0,  0.0D0,     0.0D0,
+     :     0.7D0,     -281.8D0,  0.0D0,     0.6D0,
+     :     0.6D0,     -405.7D0,  0.0D0,     0.0D0,
+     :    -1.2D0,      229.0D0,  0.0D0,     0.2D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=61,70 ) /
+     :     1.1D0,     -264.3D0,  0.0D0,     0.5D0,
+     :    -0.7D0,      247.9D0,  0.0D0,    -0.5D0,
+     :    -0.2D0,      218.0D0,  0.0D0,     0.2D0,
+     :     0.6D0,     -339.0D0,  0.0D0,     0.8D0,
+     :    -0.7D0,      198.7D0,  0.0D0,     0.2D0,
+     :    -1.5D0,      334.0D0,  0.0D0,     0.0D0,
+     :     0.1D0,      334.0D0,  0.0D0,     0.0D0,
+     :    -0.1D0,     -198.1D0,  0.0D0,     0.0D0,
+     :  -106.6D0,        0.0D0,  0.0D0,     0.0D0,
+     :    -0.5D0,      165.8D0,  0.0D0,     0.0D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=71,80 ) /
+     :     0.0D0,      134.8D0,  0.0D0,     0.0D0,
+     :     0.9D0,     -151.6D0,  0.0D0,     0.0D0,
+     :     0.0D0,     -129.7D0,  0.0D0,     0.0D0,
+     :     0.8D0,     -132.8D0,  0.0D0,    -0.1D0,
+     :     0.5D0,     -140.7D0,  0.0D0,     0.0D0,
+     :    -0.1D0,      138.4D0,  0.0D0,     0.0D0,
+     :     0.0D0,      129.0D0,  0.0D0,    -0.3D0,
+     :     0.5D0,     -121.2D0,  0.0D0,     0.0D0,
+     :    -0.3D0,      114.5D0,  0.0D0,     0.0D0,
+     :    -0.1D0,      101.8D0,  0.0D0,     0.0D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=81,90 ) /
+     :    -3.6D0,     -101.9D0,  0.0D0,     0.0D0,
+     :     0.8D0,     -109.4D0,  0.0D0,     0.0D0,
+     :     0.2D0,      -97.0D0,  0.0D0,     0.0D0,
+     :    -0.7D0,      157.3D0,  0.0D0,     0.0D0,
+     :     0.2D0,      -83.3D0,  0.0D0,     0.0D0,
+     :    -0.3D0,       93.3D0,  0.0D0,     0.0D0,
+     :    -0.1D0,       92.1D0,  0.0D0,     0.0D0,
+     :    -0.5D0,      133.6D0,  0.0D0,     0.0D0,
+     :    -0.1D0,       81.5D0,  0.0D0,     0.0D0,
+     :     0.0D0,      123.9D0,  0.0D0,     0.0D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=91,100 ) /
+     :    -0.3D0,      128.1D0,  0.0D0,     0.0D0,
+     :     0.1D0,       74.1D0,  0.0D0,    -0.3D0,
+     :    -0.2D0,      -70.3D0,  0.0D0,     0.0D0,
+     :    -0.4D0,       66.6D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -66.7D0,  0.0D0,     0.0D0,
+     :    -0.7D0,       69.3D0,  0.0D0,    -0.3D0,
+     :     0.0D0,      -70.4D0,  0.0D0,     0.0D0,
+     :    -0.1D0,      101.5D0,  0.0D0,     0.0D0,
+     :     0.5D0,      -69.1D0,  0.0D0,     0.0D0,
+     :    -0.2D0,       58.5D0,  0.0D0,     0.2D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=101,110 ) /
+     :     0.1D0,      -94.9D0,  0.0D0,     0.2D0,
+     :     0.0D0,       52.9D0,  0.0D0,    -0.2D0,
+     :     0.1D0,       86.7D0,  0.0D0,    -0.2D0,
+     :    -0.1D0,      -59.2D0,  0.0D0,     0.2D0,
+     :     0.3D0,      -58.8D0,  0.0D0,     0.1D0,
+     :    -0.3D0,       49.0D0,  0.0D0,     0.0D0,
+     :    -0.2D0,       56.9D0,  0.0D0,    -0.1D0,
+     :     0.3D0,      -50.2D0,  0.0D0,     0.0D0,
+     :    -0.2D0,       53.4D0,  0.0D0,    -0.1D0,
+     :     0.1D0,      -76.5D0,  0.0D0,     0.0D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=111,120 ) /
+     :    -0.2D0,       45.3D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -46.8D0,  0.0D0,     0.0D0,
+     :     0.2D0,      -44.6D0,  0.0D0,     0.0D0,
+     :     0.2D0,      -48.7D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -46.8D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -42.0D0,  0.0D0,     0.0D0,
+     :     0.0D0,       46.4D0,  0.0D0,    -0.1D0,
+     :     0.2D0,      -67.3D0,  0.0D0,     0.1D0,
+     :     0.0D0,      -65.8D0,  0.0D0,     0.2D0,
+     :    -0.1D0,      -43.9D0,  0.0D0,     0.3D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=121,130 ) /
+     :     0.0D0,      -38.9D0,  0.0D0,     0.0D0,
+     :    -0.3D0,       63.9D0,  0.0D0,     0.0D0,
+     :    -0.2D0,       41.2D0,  0.0D0,     0.0D0,
+     :     0.0D0,      -36.1D0,  0.0D0,     0.2D0,
+     :    -0.3D0,       58.5D0,  0.0D0,     0.0D0,
+     :    -0.1D0,       36.1D0,  0.0D0,     0.0D0,
+     :     0.0D0,      -39.7D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -57.7D0,  0.0D0,     0.0D0,
+     :    -0.2D0,       33.4D0,  0.0D0,     0.0D0,
+     :    36.4D0,        0.0D0,  0.0D0,     0.0D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=131,140 ) /
+     :    -0.1D0,       55.7D0,  0.0D0,    -0.1D0,
+     :     0.1D0,      -35.4D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -31.0D0,  0.0D0,     0.0D0,
+     :    -0.1D0,       30.1D0,  0.0D0,     0.0D0,
+     :    -0.3D0,       49.2D0,  0.0D0,     0.0D0,
+     :    -0.2D0,       49.1D0,  0.0D0,     0.0D0,
+     :    -0.1D0,       33.6D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -33.5D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -31.0D0,  0.0D0,     0.0D0,
+     :    -0.1D0,       28.0D0,  0.0D0,     0.0D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=141,150 ) /
+     :     0.1D0,      -25.2D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -26.2D0,  0.0D0,     0.0D0,
+     :    -0.2D0,       41.5D0,  0.0D0,     0.0D0,
+     :     0.0D0,       24.5D0,  0.0D0,     0.1D0,
+     :   -16.2D0,        0.0D0,  0.0D0,     0.0D0,
+     :     0.0D0,      -22.3D0,  0.0D0,     0.0D0,
+     :     0.0D0,       23.1D0,  0.0D0,     0.0D0,
+     :    -0.1D0,       37.5D0,  0.0D0,     0.0D0,
+     :     0.2D0,      -25.7D0,  0.0D0,     0.0D0,
+     :     0.0D0,       25.2D0,  0.0D0,     0.0D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=151,160 ) /
+     :     0.1D0,      -24.5D0,  0.0D0,     0.0D0,
+     :    -0.1D0,       24.3D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -20.7D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -20.8D0,  0.0D0,     0.0D0,
+     :    -0.2D0,       33.4D0,  0.0D0,     0.0D0,
+     :    32.9D0,        0.0D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -32.6D0,  0.0D0,     0.0D0,
+     :     0.0D0,       19.9D0,  0.0D0,     0.0D0,
+     :    -0.1D0,       19.6D0,  0.0D0,     0.0D0,
+     :     0.0D0,      -18.7D0,  0.0D0,     0.0D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=161,170 ) /
+     :     0.1D0,      -19.0D0,  0.0D0,     0.0D0,
+     :     0.1D0,      -28.6D0,  0.0D0,     0.0D0,
+     :     4.0D0,      178.8D0,-11.8D0,     0.3D0,
+     :    39.8D0,     -107.3D0, -5.6D0,    -1.0D0,
+     :     9.9D0,      164.0D0, -4.1D0,     0.1D0,
+     :    -4.8D0,     -135.3D0, -3.4D0,    -0.1D0,
+     :    50.5D0,       75.0D0,  1.4D0,    -1.2D0,
+     :    -1.1D0,      -53.5D0,  1.3D0,     0.0D0,
+     :   -45.0D0,       -2.4D0, -0.4D0,     6.6D0,
+     :   -11.5D0,      -61.0D0, -0.9D0,     0.4D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=171,180 ) /
+     :     4.4D0,      -68.4D0, -3.4D0,     0.0D0,
+     :     7.7D0,      -47.1D0, -4.7D0,    -1.0D0,
+     :   -42.9D0,      -12.6D0, -1.2D0,     4.2D0,
+     :   -42.8D0,       12.7D0, -1.2D0,    -4.2D0,
+     :    -7.6D0,      -44.1D0,  2.1D0,    -0.5D0,
+     :   -64.1D0,        1.7D0,  0.2D0,     4.5D0,
+     :    36.4D0,      -10.4D0,  1.0D0,     3.5D0,
+     :    35.6D0,       10.2D0,  1.0D0,    -3.5D0,
+     :    -1.7D0,       39.5D0,  2.0D0,     0.0D0,
+     :    50.9D0,       -8.2D0, -0.8D0,    -5.0D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=181,190 ) /
+     :     0.0D0,       52.3D0,  1.2D0,     0.0D0,
+     :   -42.9D0,      -17.8D0,  0.4D0,     0.0D0,
+     :     2.6D0,       34.3D0,  0.8D0,     0.0D0,
+     :    -0.8D0,      -48.6D0,  2.4D0,    -0.1D0,
+     :    -4.9D0,       30.5D0,  3.7D0,     0.7D0,
+     :     0.0D0,      -43.6D0,  2.1D0,     0.0D0,
+     :     0.0D0,      -25.4D0,  1.2D0,     0.0D0,
+     :     2.0D0,       40.9D0, -2.0D0,     0.0D0,
+     :    -2.1D0,       26.1D0,  0.6D0,     0.0D0,
+     :    22.6D0,       -3.2D0, -0.5D0,    -0.5D0 /
+      DATA ( ( PSI(I,J), I=1,4 ), J=191,NTERMS ) /
+     :    -7.6D0,       24.9D0, -0.4D0,    -0.2D0,
+     :    -6.2D0,       34.9D0,  1.7D0,     0.3D0,
+     :     2.0D0,       17.4D0, -0.4D0,     0.1D0,
+     :    -3.9D0,       20.5D0,  2.4D0,     0.6D0 /
+
+*  Nutation series: obliquity
+      DATA ( ( EPS(I,J), I=1,4 ), J=1,10 ) /
+     : 9205365.8D0, -1506.2D0,  885.7D0, -0.2D0,
+     :  573095.9D0,  -570.2D0, -305.0D0, -0.3D0,
+     :   97845.5D0,   147.8D0,  -48.8D0, -0.2D0,
+     :  -89753.6D0,    28.0D0,   46.9D0,  0.0D0,
+     :    7406.7D0,  -327.1D0,  -18.2D0,  0.8D0,
+     :   22442.3D0,   -22.3D0,  -67.6D0,  0.0D0,
+     :    -683.6D0,    46.8D0,    0.0D0,  0.0D0,
+     :   20070.7D0,    36.0D0,    1.6D0,  0.0D0,
+     :   12893.8D0,    39.5D0,   -6.2D0,  0.0D0,
+     :   -9593.2D0,    14.4D0,   30.2D0, -0.1D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=11,20 ) /
+     :   -6899.5D0,     4.8D0,   -0.6D0,  0.0D0,
+     :   -5332.5D0,    -0.1D0,    2.7D0,  0.0D0,
+     :    -125.2D0,    10.5D0,    0.0D0,  0.0D0,
+     :   -3323.4D0,    -0.9D0,   -0.3D0,  0.0D0,
+     :    3142.3D0,     8.9D0,    0.3D0,  0.0D0,
+     :    2552.5D0,     7.3D0,   -1.2D0,  0.0D0,
+     :    2634.4D0,     8.8D0,    0.2D0,  0.0D0,
+     :   -2424.4D0,     1.6D0,   -0.4D0,  0.0D0,
+     :    -123.3D0,     3.9D0,    0.0D0,  0.0D0,
+     :    1642.4D0,     7.3D0,   -0.8D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=21,30 ) /
+     :      47.9D0,     3.2D0,    0.0D0,  0.0D0,
+     :    1321.2D0,     6.2D0,   -0.6D0,  0.0D0,
+     :   -1234.1D0,    -0.3D0,    0.6D0,  0.0D0,
+     :   -1076.5D0,    -0.3D0,    0.0D0,  0.0D0,
+     :     -61.6D0,     1.8D0,    0.0D0,  0.0D0,
+     :     -55.4D0,     1.6D0,    0.0D0,  0.0D0,
+     :     856.9D0,    -4.9D0,   -2.1D0,  0.0D0,
+     :    -800.7D0,    -0.1D0,    0.0D0,  0.0D0,
+     :     685.1D0,    -0.6D0,   -3.8D0,  0.0D0,
+     :     -16.9D0,    -1.5D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=31,40 ) /
+     :     695.7D0,     1.8D0,    0.0D0,  0.0D0,
+     :     642.2D0,    -2.6D0,   -1.6D0,  0.0D0,
+     :      13.3D0,     1.1D0,   -0.1D0,  0.0D0,
+     :     521.9D0,     1.6D0,    0.0D0,  0.0D0,
+     :     325.8D0,     2.0D0,   -0.1D0,  0.0D0,
+     :    -325.1D0,    -0.5D0,    0.9D0,  0.0D0,
+     :      10.1D0,     0.3D0,    0.0D0,  0.0D0,
+     :     334.5D0,     1.6D0,    0.0D0,  0.0D0,
+     :     307.1D0,     0.4D0,   -0.9D0,  0.0D0,
+     :     327.2D0,     0.5D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=41,50 ) /
+     :    -304.6D0,    -0.1D0,    0.0D0,  0.0D0,
+     :     304.0D0,     0.6D0,    0.0D0,  0.0D0,
+     :    -276.8D0,    -0.5D0,    0.1D0,  0.0D0,
+     :     268.9D0,     1.3D0,    0.0D0,  0.0D0,
+     :     271.8D0,     1.1D0,    0.0D0,  0.0D0,
+     :     271.5D0,    -0.4D0,   -0.8D0,  0.0D0,
+     :      -5.2D0,     0.5D0,    0.0D0,  0.0D0,
+     :    -220.5D0,     0.1D0,    0.0D0,  0.0D0,
+     :     -20.1D0,     0.3D0,    0.0D0,  0.0D0,
+     :    -191.0D0,     0.1D0,    0.5D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=51,60 ) /
+     :      -4.1D0,     0.3D0,    0.0D0,  0.0D0,
+     :     130.6D0,    -0.1D0,    0.0D0,  0.0D0,
+     :       3.0D0,     0.3D0,    0.0D0,  0.0D0,
+     :     122.9D0,     0.8D0,    0.0D0,  0.0D0,
+     :       3.7D0,    -0.3D0,    0.0D0,  0.0D0,
+     :     123.1D0,     0.4D0,   -0.3D0,  0.0D0,
+     :     -52.7D0,    15.3D0,    0.0D0,  0.0D0,
+     :     120.7D0,     0.3D0,   -0.3D0,  0.0D0,
+     :       4.0D0,    -0.3D0,    0.0D0,  0.0D0,
+     :     126.5D0,     0.5D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=61,70 ) /
+     :     112.7D0,     0.5D0,   -0.3D0,  0.0D0,
+     :    -106.1D0,    -0.3D0,    0.3D0,  0.0D0,
+     :    -112.9D0,    -0.2D0,    0.0D0,  0.0D0,
+     :       3.6D0,    -0.2D0,    0.0D0,  0.0D0,
+     :     107.4D0,     0.3D0,    0.0D0,  0.0D0,
+     :     -10.9D0,     0.2D0,    0.0D0,  0.0D0,
+     :      -0.9D0,     0.0D0,    0.0D0,  0.0D0,
+     :      85.4D0,     0.0D0,    0.0D0,  0.0D0,
+     :       0.0D0,   -88.8D0,    0.0D0,  0.0D0,
+     :     -71.0D0,    -0.2D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=71,80 ) /
+     :     -70.3D0,     0.0D0,    0.0D0,  0.0D0,
+     :      64.5D0,     0.4D0,    0.0D0,  0.0D0,
+     :      69.8D0,     0.0D0,    0.0D0,  0.0D0,
+     :      66.1D0,     0.4D0,    0.0D0,  0.0D0,
+     :     -61.0D0,    -0.2D0,    0.0D0,  0.0D0,
+     :     -59.5D0,    -0.1D0,    0.0D0,  0.0D0,
+     :     -55.6D0,     0.0D0,    0.2D0,  0.0D0,
+     :      51.7D0,     0.2D0,    0.0D0,  0.0D0,
+     :     -49.0D0,    -0.1D0,    0.0D0,  0.0D0,
+     :     -52.7D0,    -0.1D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=81,90 ) /
+     :     -49.6D0,     1.4D0,    0.0D0,  0.0D0,
+     :      46.3D0,     0.4D0,    0.0D0,  0.0D0,
+     :      49.6D0,     0.1D0,    0.0D0,  0.0D0,
+     :      -5.1D0,     0.1D0,    0.0D0,  0.0D0,
+     :     -44.0D0,    -0.1D0,    0.0D0,  0.0D0,
+     :     -39.9D0,    -0.1D0,    0.0D0,  0.0D0,
+     :     -39.5D0,    -0.1D0,    0.0D0,  0.0D0,
+     :      -3.9D0,     0.1D0,    0.0D0,  0.0D0,
+     :     -42.1D0,    -0.1D0,    0.0D0,  0.0D0,
+     :     -17.2D0,     0.1D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=91,100 ) /
+     :      -2.3D0,     0.1D0,    0.0D0,  0.0D0,
+     :     -39.2D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -38.4D0,     0.1D0,    0.0D0,  0.0D0,
+     :      36.8D0,     0.2D0,    0.0D0,  0.0D0,
+     :      34.6D0,     0.1D0,    0.0D0,  0.0D0,
+     :     -32.7D0,     0.3D0,    0.0D0,  0.0D0,
+     :      30.4D0,     0.0D0,    0.0D0,  0.0D0,
+     :       0.4D0,     0.1D0,    0.0D0,  0.0D0,
+     :      29.3D0,     0.2D0,    0.0D0,  0.0D0,
+     :      31.6D0,     0.1D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=101,110 ) /
+     :       0.8D0,    -0.1D0,    0.0D0,  0.0D0,
+     :     -27.9D0,     0.0D0,    0.0D0,  0.0D0,
+     :       2.9D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -25.3D0,     0.0D0,    0.0D0,  0.0D0,
+     :      25.0D0,     0.1D0,    0.0D0,  0.0D0,
+     :      27.5D0,     0.1D0,    0.0D0,  0.0D0,
+     :     -24.4D0,    -0.1D0,    0.0D0,  0.0D0,
+     :      24.9D0,     0.2D0,    0.0D0,  0.0D0,
+     :     -22.8D0,    -0.1D0,    0.0D0,  0.0D0,
+     :       0.9D0,    -0.1D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=111,120 ) /
+     :      24.4D0,     0.1D0,    0.0D0,  0.0D0,
+     :      23.9D0,     0.1D0,    0.0D0,  0.0D0,
+     :      22.5D0,     0.1D0,    0.0D0,  0.0D0,
+     :      20.8D0,     0.1D0,    0.0D0,  0.0D0,
+     :      20.1D0,     0.0D0,    0.0D0,  0.0D0,
+     :      21.5D0,     0.1D0,    0.0D0,  0.0D0,
+     :     -20.0D0,     0.0D0,    0.0D0,  0.0D0,
+     :       1.4D0,     0.0D0,    0.0D0,  0.0D0,
+     :      -0.2D0,    -0.1D0,    0.0D0,  0.0D0,
+     :      19.0D0,     0.0D0,   -0.1D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=121,130 ) /
+     :      20.5D0,     0.0D0,    0.0D0,  0.0D0,
+     :      -2.0D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -17.6D0,    -0.1D0,    0.0D0,  0.0D0,
+     :      19.0D0,     0.0D0,    0.0D0,  0.0D0,
+     :      -2.4D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -18.4D0,    -0.1D0,    0.0D0,  0.0D0,
+     :      17.1D0,     0.0D0,    0.0D0,  0.0D0,
+     :       0.4D0,     0.0D0,    0.0D0,  0.0D0,
+     :      18.4D0,     0.1D0,    0.0D0,  0.0D0,
+     :       0.0D0,    17.4D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=131,140 ) /
+     :      -0.6D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -15.4D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -16.8D0,    -0.1D0,    0.0D0,  0.0D0,
+     :      16.3D0,     0.0D0,    0.0D0,  0.0D0,
+     :      -2.0D0,     0.0D0,    0.0D0,  0.0D0,
+     :      -1.5D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -14.3D0,    -0.1D0,    0.0D0,  0.0D0,
+     :      14.4D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -13.4D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -14.3D0,    -0.1D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=141,150 ) /
+     :     -13.7D0,     0.0D0,    0.0D0,  0.0D0,
+     :      13.1D0,     0.1D0,    0.0D0,  0.0D0,
+     :      -1.7D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -12.8D0,     0.0D0,    0.0D0,  0.0D0,
+     :       0.0D0,   -14.4D0,    0.0D0,  0.0D0,
+     :      12.4D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -12.0D0,     0.0D0,    0.0D0,  0.0D0,
+     :      -0.8D0,     0.0D0,    0.0D0,  0.0D0,
+     :      10.9D0,     0.1D0,    0.0D0,  0.0D0,
+     :     -10.8D0,     0.0D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=151,160 ) /
+     :      10.5D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -10.4D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -11.2D0,     0.0D0,    0.0D0,  0.0D0,
+     :      10.5D0,     0.1D0,    0.0D0,  0.0D0,
+     :      -1.4D0,     0.0D0,    0.0D0,  0.0D0,
+     :       0.0D0,     0.1D0,    0.0D0,  0.0D0,
+     :       0.7D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -10.3D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -10.0D0,     0.0D0,    0.0D0,  0.0D0,
+     :       9.6D0,     0.0D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=161,170 ) /
+     :       9.4D0,     0.1D0,    0.0D0,  0.0D0,
+     :       0.6D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -87.7D0,     4.4D0,   -0.4D0, -6.3D0,
+     :      46.3D0,    22.4D0,    0.5D0, -2.4D0,
+     :      15.6D0,    -3.4D0,    0.1D0,  0.4D0,
+     :       5.2D0,     5.8D0,    0.2D0, -0.1D0,
+     :     -30.1D0,    26.9D0,    0.7D0,  0.0D0,
+     :      23.2D0,    -0.5D0,    0.0D0,  0.6D0,
+     :       1.0D0,    23.2D0,    3.4D0,  0.0D0,
+     :     -12.2D0,    -4.3D0,    0.0D0,  0.0D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=171,180 ) /
+     :      -2.1D0,    -3.7D0,   -0.2D0,  0.1D0,
+     :     -18.6D0,    -3.8D0,   -0.4D0,  1.8D0,
+     :       5.5D0,   -18.7D0,   -1.8D0, -0.5D0,
+     :      -5.5D0,   -18.7D0,    1.8D0, -0.5D0,
+     :      18.4D0,    -3.6D0,    0.3D0,  0.9D0,
+     :      -0.6D0,     1.3D0,    0.0D0,  0.0D0,
+     :      -5.6D0,   -19.5D0,    1.9D0,  0.0D0,
+     :       5.5D0,   -19.1D0,   -1.9D0,  0.0D0,
+     :     -17.3D0,    -0.8D0,    0.0D0,  0.9D0,
+     :      -3.2D0,    -8.3D0,   -0.8D0,  0.3D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=181,190 ) /
+     :      -0.1D0,     0.0D0,    0.0D0,  0.0D0,
+     :      -5.4D0,     7.8D0,   -0.3D0,  0.0D0,
+     :     -14.8D0,     1.4D0,    0.0D0,  0.3D0,
+     :      -3.8D0,     0.4D0,    0.0D0, -0.2D0,
+     :      12.6D0,     3.2D0,    0.5D0, -1.5D0,
+     :       0.1D0,     0.0D0,    0.0D0,  0.0D0,
+     :     -13.6D0,     2.4D0,   -0.1D0,  0.0D0,
+     :       0.9D0,     1.2D0,    0.0D0,  0.0D0,
+     :     -11.9D0,    -0.5D0,    0.0D0,  0.3D0,
+     :       0.4D0,    12.0D0,    0.3D0, -0.2D0 /
+      DATA ( ( EPS(I,J), I=1,4 ), J=191,NTERMS ) /
+     :       8.3D0,     6.1D0,   -0.1D0,  0.1D0,
+     :       0.0D0,     0.0D0,    0.0D0,  0.0D0,
+     :       0.4D0,   -10.8D0,    0.3D0,  0.0D0,
+     :       9.6D0,     2.2D0,    0.3D0, -1.2D0 /
+
+
+
+*  Interval between fundamental epoch J2000.0 and given epoch (JC).
+      T = (DATE-DJM0)/DJC
+
+*  Mean anomaly of the Moon.
+      EL  = 134.96340251D0*DD2R+
+     :      MOD(T*(1717915923.2178D0+
+     :          T*(        31.8792D0+
+     :          T*(         0.051635D0+
+     :          T*(       - 0.00024470D0)))),TURNAS)*DAS2R
+
+*  Mean anomaly of the Sun.
+      ELP = 357.52910918D0*DD2R+
+     :      MOD(T*( 129596581.0481D0+
+     :          T*(       - 0.5532D0+
+     :          T*(         0.000136D0+
+     :          T*(       - 0.00001149D0)))),TURNAS)*DAS2R
+
+*  Mean argument of the latitude of the Moon.
+      F   =  93.27209062D0*DD2R+
+     :      MOD(T*(1739527262.8478D0+
+     :          T*(      - 12.7512D0+
+     :          T*(      -  0.001037D0+
+     :          T*(         0.00000417D0)))),TURNAS)*DAS2R
+
+*  Mean elongation of the Moon from the Sun.
+      D   = 297.85019547D0*DD2R+
+     :      MOD(T*(1602961601.2090D0+
+     :          T*(       - 6.3706D0+
+     :          T*(         0.006539D0+
+     :          T*(       - 0.00003169D0)))),TURNAS)*DAS2R
+
+*  Mean longitude of the ascending node of the Moon.
+      OM  = 125.04455501D0*DD2R+
+     :      MOD(T*( - 6962890.5431D0+
+     :          T*(         7.4722D0+
+     :          T*(         0.007702D0+
+     :          T*(       - 0.00005939D0)))),TURNAS)*DAS2R
+
+*  Mean longitude of Venus.
+      VE    = 181.97980085D0*DD2R+MOD(210664136.433548D0*T,TURNAS)*DAS2R
+
+*  Mean longitude of Mars.
+      MA    = 355.43299958D0*DD2R+MOD( 68905077.493988D0*T,TURNAS)*DAS2R
+
+*  Mean longitude of Jupiter.
+      JU    =  34.35151874D0*DD2R+MOD( 10925660.377991D0*T,TURNAS)*DAS2R
+
+*  Mean longitude of Saturn.
+      SA    =  50.07744430D0*DD2R+MOD(  4399609.855732D0*T,TURNAS)*DAS2R
+
+*  Geodesic nutation (Fukushima 1991) in microarcsec.
+      DP = -153.1D0*SIN(ELP)-1.9D0*SIN(2D0*ELP)
+      DE = 0D0
+
+*  Shirai & Fukushima (2001) nutation series.
+      DO J=NTERMS,1,-1
+         THETA = DBLE(NA(1,J))*EL+
+     :           DBLE(NA(2,J))*ELP+
+     :           DBLE(NA(3,J))*F+
+     :           DBLE(NA(4,J))*D+
+     :           DBLE(NA(5,J))*OM+
+     :           DBLE(NA(6,J))*VE+
+     :           DBLE(NA(7,J))*MA+
+     :           DBLE(NA(8,J))*JU+
+     :           DBLE(NA(9,J))*SA
+         C = COS(THETA)
+         S = SIN(THETA)
+         DP = DP+(PSI(1,J)+PSI(3,J)*T)*C+(PSI(2,J)+PSI(4,J)*T)*S
+         DE = DE+(EPS(1,J)+EPS(3,J)*T)*C+(EPS(2,J)+EPS(4,J)*T)*S
+      END DO
+
+*  Change of units, and addition of the precession correction.
+      DPSI = (DP*1D-6-0.042888D0-0.29856D0*T)*DAS2R
+      DEPS = (DE*1D-6-0.005171D0-0.02408D0*T)*DAS2R
+
+*  Mean obliquity of date (Simon et al. 1994).
+      EPS0 = (84381.412D0+
+     :         (-46.80927D0+
+     :          (-0.000152D0+
+     :           (0.0019989D0+
+     :          (-0.00000051D0+
+     :          (-0.000000025D0)*T)*T)*T)*T)*T)*DAS2R
+
+      END
+      SUBROUTINE sla_NUT (DATE, RMATN)
+*+
+*     - - - -
+*      N U T
+*     - - - -
+*
+*  Form the matrix of nutation for a given date - Shirai & Fukushima
+*  2001 theory (double precision)
+*
+*  Reference:
+*     Shirai, T. & Fukushima, T., Astron.J. 121, 3270-3283 (2001).
+*
+*  Given:
+*     DATE    d          TDB (loosely ET) as Modified Julian Date
+*                                           (=JD-2400000.5)
+*  Returned:
+*     RMATN   d(3,3)     nutation matrix
+*
+*  Notes:
+*
+*  1  The matrix is in the sense  v(true) = rmatn * v(mean) .
+*     where v(true) is the star vector relative to the true equator and
+*     equinox of date and v(mean) is the star vector relative to the
+*     mean equator and equinox of date.
+*
+*  2  The matrix represents forced nutation (but not free core
+*     nutation) plus corrections to the IAU~1976 precession model.
+*
+*  3  Earth attitude predictions made by combining the present nutation
+*     matrix with IAU~1976 precession are accurate to 1~mas (with
+*     respect to the ICRS) for a few decades around 2000.
+*
+*  4  The distinction between the required TDB and TT is always
+*     negligible.  Moreover, for all but the most critical applications
+*     UTC is adequate.
+*
+*  Called:   sla_NUTC, sla_DEULER
+*
+*  Last revision:   1 December 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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION DATE,RMATN(3,3)
+
+      DOUBLE PRECISION DPSI,DEPS,EPS0
+
+
+
+*  Nutation components and mean obliquity
+      CALL sla_NUTC(DATE,DPSI,DEPS,EPS0)
+
+*  Rotation matrix
+      CALL sla_DEULER('XZX',EPS0,-DPSI,-(EPS0+DEPS),RMATN)
+
+      END
+      SUBROUTINE sla_PREBN (BEP0, BEP1, RMATP)
+*+
+*     - - - - - -
+*      P R E B N
+*     - - - - - -
+*
+*  Generate the matrix of precession between two epochs,
+*  using the old, pre-IAU1976, Bessel-Newcomb model, using
+*  Kinoshita's formulation (double precision)
+*
+*  Given:
+*     BEP0    dp         beginning Besselian epoch
+*     BEP1    dp         ending Besselian epoch
+*
+*  Returned:
+*     RMATP  dp(3,3)    precession matrix
+*
+*  The matrix is in the sense   V(BEP1)  =  RMATP * V(BEP0)
+*
+*  Reference:
+*     Kinoshita, H. (1975) 'Formulas for precession', SAO Special
+*     Report No. 364, Smithsonian Institution Astrophysical
+*     Observatory, Cambridge, Massachusetts.
+*
+*  Called:  sla_DEULER
+*
+*  P.T.Wallace   Starlink   23 August 1996
+*
+*  Copyright (C) 1996 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION BEP0,BEP1,RMATP(3,3)
+
+*  Arc seconds to radians
+      DOUBLE PRECISION AS2R
+      PARAMETER (AS2R=0.484813681109535994D-5)
+
+      DOUBLE PRECISION BIGT,T,TAS2R,W,ZETA,Z,THETA
+
+
+
+*  Interval between basic epoch B1850.0 and beginning epoch in TC
+      BIGT = (BEP0-1850D0)/100D0
+
+*  Interval over which precession required, in tropical centuries
+      T = (BEP1-BEP0)/100D0
+
+*  Euler angles
+      TAS2R = T*AS2R
+      W = 2303.5548D0+(1.39720D0+0.000059D0*BIGT)*BIGT
+
+      ZETA = (W+(0.30242D0-0.000269D0*BIGT+0.017996D0*T)*T)*TAS2R
+      Z = (W+(1.09478D0+0.000387D0*BIGT+0.018324D0*T)*T)*TAS2R
+      THETA = (2005.1125D0+(-0.85294D0-0.000365D0*BIGT)*BIGT+
+     :        (-0.42647D0-0.000365D0*BIGT-0.041802D0*T)*T)*TAS2R
+
+*  Rotation matrix
+      CALL sla_DEULER('ZYZ',-ZETA,THETA,-Z,RMATP)
+
+      END
+      SUBROUTINE sla_PRECES (SYSTEM, EP0, EP1, RA, DC)
+*+
+*     - - - - - - -
+*      P R E C E S
+*     - - - - - - -
+*
+*  Precession - either FK4 (Bessel-Newcomb, pre IAU 1976) or
+*  FK5 (Fricke, post IAU 1976) as required.
+*
+*  Given:
+*     SYSTEM     char   precession to be applied: 'FK4' or 'FK5'
+*     EP0,EP1    dp     starting and ending epoch
+*     RA,DC      dp     RA,Dec, mean equator & equinox of epoch EP0
+*
+*  Returned:
+*     RA,DC      dp     RA,Dec, mean equator & equinox of epoch EP1
+*
+*  Called:    sla_DRANRM, sla_PREBN, sla_PREC, sla_DCS2C,
+*             sla_DMXV, sla_DCC2S
+*
+*  Notes:
+*
+*     1)  Lowercase characters in SYSTEM are acceptable.
+*
+*     2)  The epochs are Besselian if SYSTEM='FK4' and Julian if 'FK5'.
+*         For example, to precess coordinates in the old system from
+*         equinox 1900.0 to 1950.0 the call would be:
+*             CALL sla_PRECES ('FK4', 1900D0, 1950D0, RA, DC)
+*
+*     3)  This routine will NOT correctly convert between the old and
+*         the new systems - for example conversion from B1950 to J2000.
+*         For these purposes see sla_FK425, sla_FK524, sla_FK45Z and
+*         sla_FK54Z.
+*
+*     4)  If an invalid SYSTEM is supplied, values of -99D0,-99D0 will
+*         be returned for both RA and DC.
+*
+*  P.T.Wallace   Starlink   20 April 1990
+*
+*  Copyright (C) 1995 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      CHARACTER SYSTEM*(*)
+      DOUBLE PRECISION EP0,EP1,RA,DC
+
+      DOUBLE PRECISION PM(3,3),V1(3),V2(3)
+      CHARACTER SYSUC*3
+
+      DOUBLE PRECISION sla_DRANRM
+
+
+
+
+*  Convert to uppercase and validate SYSTEM
+      SYSUC=SYSTEM
+      IF (SYSUC(1:1).EQ.'f') SYSUC(1:1)='F'
+      IF (SYSUC(2:2).EQ.'k') SYSUC(2:2)='K'
+      IF (SYSUC.NE.'FK4'.AND.SYSUC.NE.'FK5') THEN
+         RA=-99D0
+         DC=-99D0
+      ELSE
+
+*     Generate appropriate precession matrix
+         IF (SYSUC.EQ.'FK4') THEN
+            CALL sla_PREBN(EP0,EP1,PM)
+         ELSE
+            CALL sla_PREC(EP0,EP1,PM)
+         END IF
+
+*     Convert RA,Dec to x,y,z
+         CALL sla_DCS2C(RA,DC,V1)
+
+*     Precess
+         CALL sla_DMXV(PM,V1,V2)
+
+*     Back to RA,Dec
+         CALL sla_DCC2S(V2,RA,DC)
+         RA=sla_DRANRM(RA)
+
+      END IF
+
+      END
+      SUBROUTINE sla_PREC (EP0, EP1, RMATP)
+*+
+*     - - - - -
+*      P R E C
+*     - - - - -
+*
+*  Form the matrix of precession between two epochs (IAU 1976, FK5)
+*  (double precision)
+*
+*  Given:
+*     EP0    dp         beginning epoch
+*     EP1    dp         ending epoch
+*
+*  Returned:
+*     RMATP  dp(3,3)    precession matrix
+*
+*  Notes:
+*
+*     1)  The epochs are TDB (loosely ET) Julian epochs.
+*
+*     2)  The matrix is in the sense   V(EP1)  =  RMATP * V(EP0)
+*
+*     3)  Though the matrix method itself is rigorous, the precession
+*         angles are expressed through canonical polynomials which are
+*         valid only for a limited time span.  There are also known
+*         errors in the IAU precession rate.  The absolute accuracy
+*         of the present formulation is better than 0.1 arcsec from
+*         1960AD to 2040AD, better than 1 arcsec from 1640AD to 2360AD,
+*         and remains below 3 arcsec for the whole of the period
+*         500BC to 3000AD.  The errors exceed 10 arcsec outside the
+*         range 1200BC to 3900AD, exceed 100 arcsec outside 4200BC to
+*         5600AD and exceed 1000 arcsec outside 6800BC to 8200AD.
+*         The SLALIB routine sla_PRECL implements a more elaborate
+*         model which is suitable for problems spanning several
+*         thousand years.
+*
+*  References:
+*     Lieske,J.H., 1979. Astron.Astrophys.,73,282.
+*      equations (6) & (7), p283.
+*     Kaplan,G.H., 1981. USNO circular no. 163, pA2.
+*
+*  Called:  sla_DEULER
+*
+*  P.T.Wallace   Starlink   23 August 1996
+*
+*  Copyright (C) 1996 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION EP0,EP1,RMATP(3,3)
+
+*  Arc seconds to radians
+      DOUBLE PRECISION AS2R
+      PARAMETER (AS2R=0.484813681109535994D-5)
+
+      DOUBLE PRECISION T0,T,TAS2R,W,ZETA,Z,THETA
+
+
+
+*  Interval between basic epoch J2000.0 and beginning epoch (JC)
+      T0 = (EP0-2000D0)/100D0
+
+*  Interval over which precession required (JC)
+      T = (EP1-EP0)/100D0
+
+*  Euler angles
+      TAS2R = T*AS2R
+      W = 2306.2181D0+(1.39656D0-0.000139D0*T0)*T0
+
+      ZETA = (W+((0.30188D0-0.000344D0*T0)+0.017998D0*T)*T)*TAS2R
+      Z = (W+((1.09468D0+0.000066D0*T0)+0.018203D0*T)*T)*TAS2R
+      THETA = ((2004.3109D0+(-0.85330D0-0.000217D0*T0)*T0)
+     :        +((-0.42665D0-0.000217D0*T0)-0.041833D0*T)*T)*TAS2R
+
+*  Rotation matrix
+      CALL sla_DEULER('ZYZ',-ZETA,THETA,-Z,RMATP)
+
+      END
+      SUBROUTINE sla_PVOBS (P, H, STL, PV)
+*+
+*     - - - - - -
+*      P V O B S
+*     - - - - - -
+*
+*  Position and velocity of an observing station (double precision)
+*
+*  Given:
+*     P     dp     latitude (geodetic, radians)
+*     H     dp     height above reference spheroid (geodetic, metres)
+*     STL   dp     local apparent sidereal time (radians)
+*
+*  Returned:
+*     PV    dp(6)  position/velocity 6-vector (AU, AU/s, true equator
+*                                              and equinox of date)
+*
+*  Called:  sla_GEOC
+*
+*  IAU 1976 constants are used.
+*
+*  P.T.Wallace   Starlink   14 November 1994
+*
+*  Copyright (C) 1995 Rutherford Appleton Laboratory
+*
+*  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
+*
+*-
+
+      IMPLICIT NONE
+
+      DOUBLE PRECISION P,H,STL,PV(6)
+
+      DOUBLE PRECISION R,Z,S,C,V
+
+*  Mean sidereal rate (at J2000) in radians per (UT1) second
+      DOUBLE PRECISION SR
+      PARAMETER (SR=7.292115855306589D-5)
+
+
+
+*  Geodetic to geocentric conversion
+      CALL sla_GEOC(P,H,R,Z)
+
+*  Functions of ST
+      S=SIN(STL)
+      C=COS(STL)
+
+*  Speed
+      V=SR*R
+
+*  Position
+      PV(1)=R*C
+      PV(2)=R*S
+      PV(3)=Z
+
+*  Velocity
+      PV(4)=-V*S
+      PV(5)=V*C
+      PV(6)=0D0
+
+      END
diff --git a/lib/tm2.f90 b/lib/tm2.f90
deleted file mode 100644
index cf1107836..000000000
--- a/lib/tm2.f90
+++ /dev/null
@@ -1,14 +0,0 @@
-subroutine tm2(day,xlat4,xlon4,xl4,b4)
-
-  implicit real*8 (a-h,o-z)
-  parameter (RADS=0.0174532925199433d0)
-
-  real*4 xlat4,xlon4,xl4,b4
-
-  glat=xlat4*RADS
-  glong=xlon4*RADS
-  call tmoonsub(day,glat,glong,el,rv,xl,b,pax)
-  xl4=xl
-  b4=b
-
-end subroutine tm2
diff --git a/lib/toxyz.f90 b/lib/toxyz.f90
deleted file mode 100644
index 646dd7a2a..000000000
--- a/lib/toxyz.f90
+++ /dev/null
@@ -1,25 +0,0 @@
-subroutine toxyz(alpha,delta,r,vec)
-
-  implicit real*8 (a-h,o-z)
-  real*8 vec(3)
-
-  vec(1)=r*cos(delta)*cos(alpha)
-  vec(2)=r*cos(delta)*sin(alpha)
-  vec(3)=r*sin(delta)
-
-  return
-end subroutine toxyz
-
-subroutine fromxyz(vec,alpha,delta,r)
-
-  implicit real*8 (a-h,o-z)
-  real*8 vec(3)
-  data twopi/6.283185307d0/
-
-  r=sqrt(vec(1)**2 + vec(2)**2 + vec(3)**2)
-  alpha=atan2(vec(2),vec(1))
-  if(alpha.lt.0.d0) alpha=alpha+twopi
-  delta=asin(vec(3)/r)
-
-  return
-end subroutine fromxyz