#include <math.h>
#include <stdio.h>
#include "xastropack.h"
/*!
\defgroup XAstroPack XAstroPack module
This module contains simple programs to perform various
astronomical computation (based on the libastro of Xephem).
\verbatim
// TEMPS: modified Julian date (mjd) (number of days elapsed since 1900 jan 0.5)
// jour [1,31] (dy)
// mois [1,12] (mn)
// annee (yr)
// universal time [0,24[ (utc)
// Greenwich mean siderial [0,24[ (gst)
// Greenwich mean siderial at 0h UT [0,24[ (gst0)
// EQUATORIALE: ascension droite en heures [0,24[ (ra)
// declinaison en degres [-90,90] (dec)
// angle horaire en heures [-12,12] (-12=12) (ha)
// temps sideral du lieu: tsid=ha+ra (ou lst)
// GALACTIQUE: longitude en degres [0,360[ (glng)
// latitude en degres [-90,90] (glat)
// HORIZONTAL: azimuth en degres [0,360[ (az)
// (angle round to the east from north+)
// altitude en degres [-90,90] (alt)
// ECLIPTIQUE: lontitude ecliptique en degres [0,360[ (eclng)
// (angle round counter clockwise from the vernal equinoxe)
// latitude ecliptique en degres [-90,90] (eclat)
// GEOGRAPHIE: longitude en degres ]-180,180] (geolng)
// (angle + vers l'ouest, - vers l'est)
// latitude en degres [-90,90] (north>0) (geolat)
\endverbatim
*/
/*! \ingroup XAstroPack
\brief Compute true Julian day from MJD
*/
double TrueJDfrMJD(double mjd)
{
return mjd + MJD0;
}
/*! \ingroup XAstroPack
\brief Compute MJD from true Julian day
*/
double MJDfrTrueJD(double jd)
{
return jd - MJD0;
}
/*! \ingroup XAstroPack
\brief Compute MJD from date
\verbatim
MJD = modified Julian date (number of days elapsed since 1900 jan 0.5),
\endverbatim
*/
double MJDfrDate(double dy,int mn,int yr)
{
double mjd;
cal_mjd(mn,dy,yr,&mjd);
return mjd;
}
/*! \ingroup XAstroPack
\brief Compute date from MJD
*/
void DatefrMJD(double mjd,double *dy,int *mn,int *yr)
{
mjd_cal(mjd,mn,dy,yr);
}
/*! \ingroup XAstroPack
\brief Given a mjd, return the year as a double.
*/
double YearfrMJD(double mjd)
{
double yr;
mjd_year(mjd,&yr);
return yr;
}
/*! \ingroup XAstroPack
\brief Given a decimal year, return mjd
*/
double MJDfrYear(double yr)
{
double mjd;
year_mjd(yr,&mjd);
return mjd;
}
/*! \ingroup XAstroPack
\brief Given a mjd, return the year and number of days since 00:00 Jan 1
\warning: if mjd = 2 January -> number of days = 1
*/
void YDfrMJD(double mjd,double *dy,int *yr)
{
mjd_dayno(mjd,yr,dy);
}
/*! \ingroup XAstroPack
\brief Given a year,
*/
int IsLeapYear(int y)
{
return isleapyear(y);
}
/*! \ingroup XAstroPack
\brief given an mjd, set *dow to 0..6 according to which day of the week it falls on (0=sunday).
\return return 0 if ok else -1 if can't figure it out.
*/
int DayOrder(double mjd,int *dow)
{
return mjd_dow(mjd,dow);
}
/*! \ingroup XAstroPack
\brief given a mjd, return the the number of days in the month.
*/
int DaysInMonth(double mjd)
{
int ndays;
mjd_dpm(mjd,&ndays);
return ndays;
}
/*! \ingroup XAstroPack
\brief Given a mjd, truncate it to the beginning of the whole day
*/
double MJDat0hFrMJD(double mjd)
{
return mjd_day(mjd);
}
/*! \ingroup XAstroPack
\brief Given a mjd, return the number of hours past midnight of the whole day
*/
double HfrMJD(double mjd)
{
return mjd_hr(mjd);
}
/*! \ingroup XAstroPack
\brief Give GST from UTC
\verbatim
Given a modified julian date, mjd, and a universally coordinated time, utc,
return greenwich mean siderial time, *gst.
N.B. mjd must be at the beginning of the day.
\endverbatim
*/
double GSTfrUTC(double mjd0,double utc)
{
double gst;
utc_gst(mjd0,utc,&gst) ;
return gst;
}
/*! \ingroup XAstroPack
\brief Give UTC from GST
\verbatim
Given a modified julian date, mjd, and a greenwich mean siderial time, gst,
return universally coordinated time, *utc.
N.B. mjd must be at the beginning of the day.
\endverbatim
*/
double UTCfrGST(double mjd0,double gst)
{
double utc;
gst_utc(mjd0,gst,&utc);
return utc;
}
/*! \ingroup XAstroPack
\brief gmst0() - return Greenwich Mean Sidereal Time at 0h UT
\param mjd = date at 0h UT in julian days since MJD0
*/
double GST0(double mjd0)
/* Copie depuis le code de Xephem (utc_gst.c) car pas prototype*/
{
double T, x;
T = ((int)(mjd0 - 0.5) + 0.5 - J2000)/36525.0;
x = 24110.54841 +
(8640184.812866 + (0.093104 - 6.2e-6 * T) * T) * T;
x /= 3600.0;
range(&x, 24.0);
return (x);
}
/*! \ingroup XAstroPack
\brief return local sidereal time from greenwich mean siderial time and longitude
\param precis : if not zero, then correct for obliquity and nutation
\warning no nutation or obliquity correction are done.
*/
double LSTfrGST(double gst,double geolng)
{
double lst = gst + geolng *12./180.;
InRange(&lst,24.);
return lst;
}
/*! \ingroup XAstroPack
\brief return local sidereal time from modified julian day and longitude
\warning nutation or obliquity correction are taken into account.
*/
double LSTfrMJD(double mjd,double geolng)
{
double eps,lst,deps,dpsi;
utc_gst(mjd_day(mjd),mjd_hr(mjd),&lst);
lst += geolng *12./180.;
obliquity(mjd,&eps);
nutation(mjd,&deps,&dpsi);
lst += dpsi*cos(eps+deps) *12./M_PI;
return lst;
}
/*! \ingroup XAstroPack
\brief Compute precession between 2 dates.
*/
void Precess(double mjd1,double mjd2,double ra1,double dec1,double *ra2,double *dec2)
{
ra1 *= PI/12.; // radians
dec1 *= PI/180.; // radians
precess(mjd1,mjd2,&ra1,&dec1);
*ra2 = ra1*12./PI; InRange(ra2,24.);
*dec2 = dec1*180./PI;
}
/*! \ingroup XAstroPack
\brief Given apparent altitude find airmass.
*/
double AirmassfrAlt(double alt)
{
double x;
alt *= PI/180.; // radians
airmass(alt,&x);
return x;
}
/*! \ingroup XAstroPack
\brief Give the hour angle from local sideral time and right ascencion
\warning right ascencion should be first precessed to date of interest
\warning no nutation or obliquity correction are done.
*/
double HafrRaTS(double lst,double ra)
{
double ha = lst - ra;
// Attention au probleme de la discontinuite 0h <==> 24h
// ts=1 ra=23 ; (ts-ra)=-22 <-12 --> ha = +2 = +24 + (ts-ra)
// ts=23 ra=1 ; (ts-ra)=+22 >+12 --> ha = -2 = -24 + (ts-ra)
InRange(&ha,24.,12.);
return ha;
}
/*! \ingroup XAstroPack
\brief Give the local sideral time and the hour angle return the right ascencion
\warning right ascencion is the value precessed to date of interest
\warning no nutation or obliquity correction are done.
*/
double RafrHaTS(double lst,double ha)
{
double ra = lst - ha;
InRange(&ra,24.);
return ra;
}
/*! \ingroup XAstroPack
\brief given geocentric time "jd" and coords of a distant object at "ra/dec" (J2000),
find the difference "hcp" in time between light arriving at earth vs the sun.
\return "hcp" must be subtracted from "geocentric jd" to get "heliocentric jd".
\warning "jd" is the TRUE Julian day (jd = mjd+MJD0).
*/
double HelioCorr(double jd,double ra,double dec)
{
double hcp;
ra *= PI/12.; // radians
dec *= PI/180.; // radians
heliocorr(jd,ra,dec,&hcp);
return hcp;
}
/*! \ingroup XAstroPack
\brief Give a time in h:mn:s from a decimal hour
\verbatim
// INPUT: hd
// OUTPUT: h mn s (h,mn,s >=< 0)
// REMARQUE: si hd<0 alors h<0 ET mn<0 ET s<0
// EX: 12.51 -> h=12 mn=30 s=10 ;
// -12.51 -> h=-12 mn=-30 s=-10 ;
\endverbatim
*/
void HMSfrHdec(double hd,int *h,int *mn,double *s)
{
int sgn=1;
if(hd<0.) {sgn=-1; hd*=-1.;}
*h = int(hd);
*mn = int((hd-(double)(*h))*60.);
*s = (hd - (double)(*h) - (double)(*mn)/60.)*3600.;
// pb precision
if(*s<0.) *s = 0.;
if(*s>60. || *s==60.) {*s-=60.; *mn+=1;} // s=double attention comparaison
if(*mn<0) *mn = 0;
if(*mn>=60) {*mn-=60; *h+=1;}
*h *= sgn; *mn *= sgn; *s *= (double)sgn;
}
/*! \ingroup XAstroPack
\brief Give a decimal hour from a time in h:mn:s
\verbatim
// INPUT: h , mn , s (h,mn,s >=< 0)
// RETURN: en heures decimales
// REMARQUE: pour avoir hd=-12.51 <- h=-12 mn=-30 s=-10
\endverbatim
*/
double HdecfrHMS(int h,int mn,double s)
{
return ((double)h + (double)mn/60. + s/3600.);
}
/*! \ingroup XAstroPack
\brief Give a time string from a time in h:mn:s
\verbatim
// INPUT: h , mn , s (h,mn,s >=< 0)
// RETURN: string h:mn:s
\endverbatim
*/
string ToStringHMS(int h,int mn,double s)
{
double hd = HdecfrHMS(h,mn,s); // put in range
HMSfrHdec(hd,&h,&mn,&s);
char str[128];
if(hd<0.)
sprintf(str,"-%d:%d:%.3f",-h,-mn,-s);
else
sprintf(str,"%d:%d:%.3f",h,mn,s);
string dum = str;
return dum;
}
/*! \ingroup XAstroPack
\brief Give a time string from a decimal hour
*/
string ToStringHdec(double hd)
{
int h,mn; double s;
HMSfrHdec(hd,&h,&mn,&s);
return ToStringHMS(h,mn,s);
}
/*! \ingroup XAstroPack
\brief Convert equatorial coordinates for the given epoch into galactic coordinates
*/
void EqtoGal(double mjd,double ra,double dec, double *glng,double *glat)
// Coordonnees equatoriales -> Coordonnees galactiques
{
ra *= PI/12.; // radians
dec *= PI/180.; // radians
eq_gal(mjd,ra,dec,glat,glng);
// Vraiment bizarre, sur Linux-g++ glng>=360 ne comprend pas glng==360 ! (CMV)
*glng *= 180./PI; InRange(glng,360.);
*glat *= 180./PI;
}
/*! \ingroup XAstroPack
\brief Convert galactic coordinates into equatorial coordinates at the given epoch
*/
void GaltoEq(double mjd,double glng,double glat,double *ra,double *dec)
// Coordonnees galactiques -> Coordonnees equatoriales
{
glng *= PI/180.; // radians
glat *= PI/180.; // radians
gal_eq (mjd,glat,glng,ra,dec);
*ra *= 12./PI; InRange(ra,24.);
*dec *= 180./PI;
}
/*! \ingroup XAstroPack
\brief Convert equatorial coordinates (with hour angle instead of right ascension) into horizontal coordinates.
*/
void EqHtoHor(double geolat,double ha,double dec,double *az,double *alt)
// Coordonnees equatoriales -> Coordonnees horizontales
{
geolat *= PI/180.;
ha *= PI/12.; // radians
dec *= PI/180.; // radians
hadec_aa (geolat,ha,dec,alt,az);
*alt *= 180./PI;
*az *= 180./PI; InRange(az,360.);
}
/*! \ingroup XAstroPack
Convert horizontal coordinates into equatorial coordinates (with hour angle instead of right ascension).
*/
void HortoEqH(double geolat,double az,double alt,double *ha,double *dec)
// Coordonnees horizontales -> Coordonnees equatoriales
{
geolat *= PI/180.;
alt *= PI/180.; // radians
az *= PI/180.; // radians
aa_hadec (geolat,alt,az,ha,dec);
*ha *= 12./PI; InRange(ha,24.,12.);
*dec *= 180./PI;
}
/*! \ingroup XAstroPack
\brief Convert equatorial coordinates into horizontal coordinates.
*/
void EqtoHor(double geolat,double lst,double ra,double dec,double *az,double *alt)
// Coordonnees equatoriales -> Coordonnees horizontales
{
double ha = lst - ra;
if(ha==-12.) ha=12.; InRange(&ha,24.,12.);
geolat *= PI/180.;
ha *= PI/12.; // radians
dec *= PI/180.; // radians
hadec_aa (geolat,ha,dec,alt,az);
*alt *= 180./PI;
*az *= 180./PI; InRange(az,360.);
}
/*! \ingroup XAstroPack
Convert horizontal coordinates into equatorial coordinates.
*/
void HortoEq(double geolat,double lst,double az,double alt,double *ra,double *dec)
// Coordonnees horizontales -> Coordonnees equatoriales
{
double ha;
geolat *= PI/180.;
alt *= PI/180.; // radians
az *= PI/180.; // radians
aa_hadec (geolat,alt,az,&ha,dec);
ha *= 12./PI;
*ra = lst - ha; InRange(ra,24.);
*dec *= 180./PI;
}
/*! \ingroup XAstroPack
\brief Convert equatorial coordinates into geocentric ecliptic coordinates given the modified Julian date.
\warning Correction for the effect on the angle of the obliquity due to nutation is not included.
*/
// Attention, j'ai modifie eq_ecl.c pour proteger NaN
// dans ecleq_aux :
// *q = (sy*ceps)-(cy*seps*sx*sw);
// if(*q<-1.) *q = -PI/2.; else if(*q>1.) *q = PI/2.; else *q = asin(*q);
void EqtoEcl(double mjd,double ra,double dec,double *eclng,double *eclat)
// Coordonnees equatoriales -> Coordonnees ecliptiques
{
ra *= PI/12.; // radians
dec *= PI/180.; // radians
eq_ecl(mjd,ra,dec,eclat,eclng);
*eclng *= 180./PI; InRange(eclng,360.);
*eclat *= 180./PI;
}
/*! \ingroup XAstroPack
\brief Convert geocentric ecliptic coordinates into equatorial coordinates given the modified Julian date.
\warning Correction for the effect on the angle of the obliquity due to nutation is not included.
*/
void EcltoEq(double mjd,double eclng,double eclat,double *ra,double *dec)
// Coordonnees ecliptiques -> Coordonnees equatoriales
{
eclat *= PI/180.; // radians
eclng *= PI/180.; // radians
ecl_eq(mjd,eclat,eclng,ra,dec);
*ra *= 12./PI; InRange(ra,24.);
*dec *= 180./PI;
}
/*! \ingroup XAstroPack
\brief Give Sun position
\verbatim
given the modified JD, mjd, return the true geocentric ecliptic longitude
of the sun for the mean equinox of the date, *lsn, in radians, the
sun-earth distance, *rsn, in AU, and the latitude *bsn, in radians
(since this is always <= 1.2 arcseconds, in can be neglected by
calling with bsn = NULL).
\endverbatim
*/
void SunPos(double mjd,double *eclsn,double *ecbsn)
{
double rsn;
sunpos(mjd,eclsn,&rsn,ecbsn);
*eclsn *= 180./PI; InRange(eclsn,360.);
*ecbsn *= 180./PI;
}
/*! \ingroup XAstroPack
\brief Give Moon position
\verbatim
given the mjd, find the geocentric ecliptic longitude, lam, and latitude,
bet, and geocentric distance, rho in a.u. for the moon. also return
the sun's mean anomaly, *msp, and the moon's mean anomaly, *mdp.
(for the mean equinox)
\endverbatim
*/
void MoonPos(double mjd,double *eclmn,double *ecbmn)
{
double rho,msp,mdp;
moon(mjd,eclmn,ecbmn,&rho,&msp,&mdp);
*eclmn *= 180./PI; InRange(eclmn,360.);
*ecbmn *= 180./PI;
}
/*! \ingroup XAstroPack
\brief Give planet position
\verbatim
* given a modified Julian date, mjd, and a planet, p, find:
* lpd0: heliocentric longitude,
* psi0: heliocentric latitude,
* rp0: distance from the sun to the planet,
* rho0: distance from the Earth to the planet,
* none corrected for light time, ie, they are the true values for the
* given instant.
* lam: geocentric ecliptic longitude,
* bet: geocentric ecliptic latitude,
* each corrected for light time, ie, they are the apparent values as
* seen from the center of the Earth for the given instant.
* dia: angular diameter in arcsec at 1 AU,
* mag: visual magnitude when 1 AU from sun and earth at 0 phase angle.
* (for the mean equinox)
\endverbatim
*/
void PlanetPos(double mjd,int numplan,double *ecl,double *ecb,double *diamang)
{
double lpd0,psi0,rp0,rho0,mag;
plans(mjd,numplan,&lpd0,&psi0,&rp0,&rho0,ecl,ecb,diamang,&mag);
*ecl *= 180./PI; InRange(ecl,360.);
*ecb *= 180./PI;
}
/*! \ingroup XAstroPack
\brief Give Jupiter position
*/
void JupiterPos(double mjd,double *ecl,double *ecb,double *diamang)
{
PlanetPos(mjd,JUPITER,ecl,ecb,diamang);
}
/*! \ingroup XAstroPack
\brief Give Saturn position
*/
void SaturnPos(double mjd,double *ecl,double *ecb,double *diamang)
{
PlanetPos(mjd,SATURN,ecl,ecb,diamang);
}
/*! \ingroup XAstroPack
\brief Given a coordinate type "typ", convert to standard for astropack
\verbatim
// Return : 0 = OK
// 1 = Unknown type of coordinates
// 2 = bad range for coord1
// 4 = bad range for coord2
// 6 = bad range for coord1 et coord2
\endverbatim
*/
int CoordConvertToStd(TypAstroCoord typ,double& coord1,double& coord2)
{
int rc = 0;
// ---- Equatoriales alpha,delta
// - standard = [0,24[ , [-90,90]
if(typ&TypCoordEq) {
if(typ&TypCoordDD) {
coord1 = coord1 / 180. * 12.;
} else if(typ&TypCoordRR) {
coord1 = coord1 / PI * 12.;
coord2 = coord2 / PI * 180.;
}
if(coord1==24.) coord1 = 0.;
if(coord1<0. || coord1>=24.) rc+= 2;
if(coord2<-90. || coord2>90. ) rc+= 4;
// ---- Galactiques gLong, gLat
// ---- Horizontales azimuth,altitude
// ---- Ecliptiques EclLong,EclLat
// - standard = [0,360[ , [-90,90]
} else if( typ&TypCoordGal || typ&TypCoordHor || typ&TypCoordEcl) {
if(typ&TypCoordHD) {
coord1 = coord1 / 12. * 180.;
} else if(typ&TypCoordRR) {
coord1 = coord1 / PI * 180.;
coord2 = coord2 / PI * 180.;
}
if(coord1==360.) coord1 = 0.;
if(coord1<0. || coord1>=360.) rc+= 2;
if(coord2<-90. || coord2>90. ) rc+= 4;
} else { // Coordonnees non-connues
rc= 1;
}
return rc;
}