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palAoppa.c
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palAoppa.c
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/*
*+
* Name:
* palAoppa
* Purpose:
* Precompute apparent to observed place parameters
* Language:
* Starlink ANSI C
* Type of Module:
* Library routine
* Invocation:
* void palAoppa ( double date, double dut, double elongm, double phim,
* double hm, double xp, double yp, double tdk, double pmb,
* double rh, double wl, double tlr, double aoprms[14] );
* Arguments:
* date = double (Given)
* UTC date/time (modified Julian Date, JD-2400000.5)
* dut = double (Given)
* delta UT: UT1-UTC (UTC seconds)
* elongm = double (Given)
* mean longitude of the observer (radians, east +ve)
* phim = double (Given)
* mean geodetic latitude of the observer (radians)
* hm = double (Given)
* observer's height above sea level (metres)
* xp = double (Given)
* polar motion x-coordinate (radians)
* yp = double (Given)
* polar motion y-coordinate (radians)
* tdk = double (Given)
* local ambient temperature (K; std=273.15)
* pmb = double (Given)
* local atmospheric pressure (mb; std=1013.25)
* rh = double (Given)
* local relative humidity (in the range 0.0-1.0)
* wl = double (Given)
* effective wavelength (micron, e.g. 0.55)
* tlr = double (Given)
* tropospheric lapse rate (K/metre, e.g. 0.0065)
* aoprms = double [14] (Returned)
* Star-independent apparent-to-observed parameters
*
* (0) geodetic latitude (radians)
* (1,2) sine and cosine of geodetic latitude
* (3) magnitude of diurnal aberration vector
* (4) height (hm)
* (5) ambient temperature (tdk)
* (6) pressure (pmb)
* (7) relative humidity (rh)
* (8) wavelength (wl)
* (9) lapse rate (tlr)
* (10,11) refraction constants A and B (radians)
* (12) longitude + eqn of equinoxes + sidereal DUT (radians)
* (13) local apparent sidereal time (radians)
* Description:
* Precompute apparent to observed place parameters required by palAopqk
* and palOapqk.
* Authors:
* TIMJ: Tim Jenness (JAC, Hawaii)
* {enter_new_authors_here}
* Notes:
* - It is advisable to take great care with units, as even
* unlikely values of the input parameters are accepted and
* processed in accordance with the models used.
*
* - The DATE argument is UTC expressed as an MJD. This is,
* strictly speaking, improper, because of leap seconds. However,
* as long as the delta UT and the UTC are consistent there
* are no difficulties, except during a leap second. In this
* case, the start of the 61st second of the final minute should
* begin a new MJD day and the old pre-leap delta UT should
* continue to be used. As the 61st second completes, the MJD
* should revert to the start of the day as, simultaneously,
* the delta UTC changes by one second to its post-leap new value.
*
* - The delta UT (UT1-UTC) is tabulated in IERS circulars and
* elsewhere. It increases by exactly one second at the end of
* each UTC leap second, introduced in order to keep delta UT
* within +/- 0.9 seconds.
*
* - IMPORTANT -- TAKE CARE WITH THE LONGITUDE SIGN CONVENTION.
* The longitude required by the present routine is east-positive,
* in accordance with geographical convention (and right-handed).
* In particular, note that the longitudes returned by the
* palObs routine are west-positive, following astronomical
* usage, and must be reversed in sign before use in the present
* routine.
*
* - The polar coordinates XP,YP can be obtained from IERS
* circulars and equivalent publications. The maximum amplitude
* is about 0.3 arcseconds. If XP,YP values are unavailable,
* use XP=YP=0.0. See page B60 of the 1988 Astronomical Almanac
* for a definition of the two angles.
*
* - The height above sea level of the observing station, HM,
* can be obtained from the Astronomical Almanac (Section J
* in the 1988 edition), or via the routine palObs. If P,
* the pressure in millibars, is available, an adequate
* estimate of HM can be obtained from the expression
*
* HM ~ -29.3*TSL*log(P/1013.25).
*
* where TSL is the approximate sea-level air temperature in K
* (see Astrophysical Quantities, C.W.Allen, 3rd edition,
* section 52). Similarly, if the pressure P is not known,
* it can be estimated from the height of the observing
* station, HM, as follows:
*
* P ~ 1013.25*exp(-HM/(29.3*TSL)).
*
* Note, however, that the refraction is nearly proportional to the
* pressure and that an accurate P value is important for precise
* work.
*
* - Repeated, computationally-expensive, calls to palAoppa for
* times that are very close together can be avoided by calling
* palAoppa just once and then using palAoppat for the subsequent
* times. Fresh calls to palAoppa will be needed only when
* changes in the precession have grown to unacceptable levels or
* when anything affecting the refraction has changed.
* History:
* 2012-08-24 (TIMJ):
* Initial version, ported directly from Fortran SLA.
* Adapted with permission from the Fortran SLALIB library.
* {enter_further_changes_here}
* Copyright:
* Copyright (C) 2012 Science and Technology Facilities Council.
* All Rights Reserved.
* Licence:
* 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 3 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; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
* MA 02110-1301, USA.
* Bugs:
* {note_any_bugs_here}
*-
*/
#include "math.h"
#include "pal.h"
#include "palmac.h"
/* These are local SLA implementations to aid in testing. Switch
* to native PAL implementations when tests are complete. */
static void pal__Geoc( double p, double h, double *r, double * z );
static void pal__Nutc ( double date, double * dpsi, double *deps, double * eps0 );
static double pal__Eqeqx( double date );
void palAoppa ( double date, double dut, double elongm, double phim,
double hm, double xp, double yp, double tdk, double pmb,
double rh, double wl, double tlr, double aoprms[14] ) {
/* Constants */
const double C = 173.14463331; /* Speed of light (AU per day) */
const double SOLSID = 1.0027379093; /* Ratio between solar and sidereal time */
/* Local variables */
double cphim,xt,yt,zt,xc,yc,zc,elong,phi,uau,vau;
/* Observer's location corrected for polar motion */
cphim = cos(phim);
xt = cos(elongm)*cphim;
yt = sin(elongm)*cphim;
zt = sin(phim);
xc = xt-xp*zt;
yc = yt+yp*zt;
zc = xp*xt-yp*yt+zt;
if (xc == 0.0 && yc == 0.0) {
elong = 0.0;
} else {
elong = atan2(yc,xc);
}
phi = atan2(zc,sqrt(xc*xc+yc*yc));
aoprms[0] = phi;
aoprms[1] = sin(phi);
aoprms[2] = cos(phi);
/* magnitude of the diurnal aberration vector */
pal__Geoc(phi,hm,&uau,&vau);
aoprms[3] = PAL__D2PI*uau*SOLSID/C;
/* copy the refraction parameters and compute the a & b constants */
aoprms[4] = hm;
aoprms[5] = tdk;
aoprms[6] = pmb;
aoprms[7] = rh;
aoprms[8] = wl;
aoprms[9] = tlr;
palRefco(hm,tdk,pmb,rh,wl,phi,tlr,1e-10,
&aoprms[10],&aoprms[11]);
/* longitude + equation of the equinoxes + sidereal equivalent of DUT
* (ignoring change in equation of the equinoxes between UTC and TDB) */
aoprms[12] = elong+pal__Eqeqx(date)+dut*SOLSID*PAL__DS2R;
/* sidereal time */
palAoppat(date,aoprms);
}
/* Private reimplementation of slaEqeqx for testing the algorithm */
#include <math.h>
static void pal__Geoc( double p, double h, double *r, double * z ) {
/* earth equatorial radius (metres) */
const double A0=6378140.0;
/* reference spheroid flattening factor and useful function */
const double f = 1.0/298.257;
double b;
/* astronomical unit in metres */
const double AU = 1.49597870e11;
double sp,cp,c,s;
b = pow( 1.0-f, 2.0 );
/* geodetic to geocentric conversion */
sp = sin(p);
cp = cos(p);
c = 1.0/sqrt(cp*cp+b*sp*sp);
s = b*c;
*r = (A0*c+h)*cp/AU;
*z = (A0*s+h)*sp/AU;
}
static double pal__Eqeqx( double date ) {
const double T2AS=1296000.0;
double pal_eqeqx;
double t, om, dpsi, deps, eps0;
/* interval between basic epoch j2000.0 and current epoch (jc) */
t=(date-51544.5)/36525.0;
/* longitude of the mean ascending node of the lunar orbit on the
* ecliptic, measured from the mean equinox of date */
om=PAL__DAS2R*(450160.280+(-5.0*T2AS-482890.539
+(7.455+0.008*t)*t)*t);
/* nutation */
pal__Nutc(date,&dpsi,&deps,&eps0);
/* equation of the equinoxes */
pal_eqeqx=dpsi*cos(eps0)+PAL__DAS2R*(0.00264*sin(om)+
0.000063*sin(om+om));
return pal_eqeqx;
}
#include "palmac.h"
static void pal__Nutc ( double date, double * dpsi, double *deps, double * eps0 ) {
const double DJC = 36525.0;
const double DJM0 = 51544.5;
const double TURNAS = 1296000.0;
#define NTERMS 194
int j;
double t,el,elp,f,d,om,ve,ma,ju,sa,theta,c,s,dp,de;
int na[ 194 ][9] = {
{ 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 },
{ 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 },
{ 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 },
{ -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 },
{ 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 },
{ 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 },
{ 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 },
{ -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 },
{ 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 },
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/* interval between fundamental epoch j2000.0 and given epoch (jc). */
t = (date-DJM0)/DJC;
/* mean anomaly of the moon. */
el = 134.96340251*PAL__DD2R+
fmod(t*(1717915923.2178+
t*( 31.8792+
t*( 0.051635+
t*( - 0.00024470)))),TURNAS)*PAL__DAS2R;
/* mean anomaly of the sun. */
elp = 357.52910918*PAL__DD2R+
fmod(t*( 129596581.0481+
t*( - 0.5532+
t*( 0.000136+
t*( - 0.00001149)))),TURNAS)*PAL__DAS2R;
/* mean argument of the latitude of the moon. */
f = 93.27209062*PAL__DD2R+
fmod(t*(1739527262.8478+
t*( - 12.7512+
t*( - 0.001037+
t*( 0.00000417)))),TURNAS)*PAL__DAS2R;
/* mean elongation of the moon from the sun. */
d = 297.85019547*PAL__DD2R+
fmod(t*(1602961601.2090+
t*( - 6.3706+
t*( 0.006539+
t*( - 0.00003169)))),TURNAS)*PAL__DAS2R;
/* mean longitude of the ascending node of the moon. */
om = 125.04455501*PAL__DD2R+
fmod(t*( - 6962890.5431+
t*( 7.4722+
t*( 0.007702+
t*( - 0.00005939)))),TURNAS)*PAL__DAS2R;
/* mean longitude of venus. */
ve = 181.97980085*PAL__DD2R+fmod(210664136.433548*t,TURNAS)*PAL__DAS2R;
/* mean longitude of mars.*/
ma = 355.43299958*PAL__DD2R+fmod( 68905077.493988*t,TURNAS)*PAL__DAS2R;
/* mean longitude of jupiter. */
ju = 34.35151874*PAL__DD2R+fmod( 10925660.377991*t,TURNAS)*PAL__DAS2R;
/* mean longitude of saturn. */
sa = 50.07744430*PAL__DD2R+fmod( 4399609.855732*t,TURNAS)*PAL__DAS2R;
/* geodesic nutation (fukushima 1991) in microarcsec. */
dp = -153.1*sin(elp)-1.9*sin(2*elp);
de = 0.0;
/* shirai & fukushima (2001) nutation series. */
for (j=NTERMS-1; j >= 0; j--) {
theta = ((double)na[j][0])*el+
((double)na[j][1])*elp+
((double)na[j][2])*f+
((double)na[j][3])*d+
((double)na[j][4])*om+
((double)na[j][5])*ve+
((double)na[j][6])*ma+
((double)na[j][7])*ju+
((double)na[j][8])*sa;
c = cos(theta);
s = sin(theta);
dp += (psi[j][0] + psi[j][2]*t)*c + (psi[j][1] + psi[j][3]*t)*s;
de += (eps[j][0] + eps[j][2]*t)*c + (eps[j][1] + eps[j][3]*t)*s;
}
/* change of units, and addition of the precession correction.*/
*dpsi = (dp*1e-6-0.042888-0.29856*t)*PAL__DAS2R;
*deps = (de*1e-6-0.005171-0.02408*t)*PAL__DAS2R;
/* mean obliquity of date (simon et al. 1994). */
*eps0 = (84381.412+
(-46.80927+
(-0.000152+
(0.0019989+
(-0.00000051+
(-0.000000025)*t)*t)*t)*t)*t)*PAL__DAS2R;
}