| 1 | #include <math.h>
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| 2 | #include <stdio.h>
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| 3 | #include "xastropack.h"
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| 4 |
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| 5 | /*!
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| 6 | \defgroup XAstroPack XAstroPack module
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| 7 | This module contains simple programs to perform various
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| 8 | astronomical computation (based on the libastro of Xephem).
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| 9 |
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| 10 | \verbatim
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| 11 | // TEMPS: modified Julian date (mjd) (number of days elapsed since 1900 jan 0.5)
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| 12 | // jour [1,31] (dy)
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| 13 | // mois [1,12] (mn)
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| 14 | // annee (yr)
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| 15 | // universal time [0,24[ (utc)
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| 16 | // Greenwich mean siderial [0,24[ (gst)
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| 17 | // Greenwich mean siderial at 0h UT [0,24[ (gst0)
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| 18 | // EQUATORIALE: ascension droite en heures [0,24[ (ra)
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| 19 | // declinaison en degres [-90,90] (dec)
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| 20 | // angle horaire en heures [-12,12] (-12=12) (ha)
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| 21 | // temps sideral du lieu: tsid=ha+ra (ou lst)
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| 22 | // GALACTIQUE: longitude en degres [0,360[ (glng)
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| 23 | // latitude en degres [-90,90] (glat)
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| 24 | // HORIZONTAL: azimuth en degres [0,360[ (az)
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| 25 | // (angle round to the east from north+)
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| 26 | // altitude en degres [-90,90] (alt)
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| 27 | // ECLIPTIQUE: lontitude ecliptique en degres [0,360[ (eclng)
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| 28 | // (angle round counter clockwise from the vernal equinoxe)
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| 29 | // latitude ecliptique en degres [-90,90] (eclat)
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| 30 | // GEOGRAPHIE: longitude en degres ]-180,180] (geolng)
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| 31 | // (angle + vers l'ouest, - vers l'est)
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| 32 | // latitude en degres [-90,90] (north>0) (geolat)
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| 33 | \endverbatim
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| 34 | */
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| 35 |
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| 36 | /*! \ingroup XAstroPack
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| 37 | \brief gmst0() - return Greenwich Mean Sidereal Time at 0h UT
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| 38 | \param mjd0 = date at 0h UT in julian days since MJD0
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| 39 | */
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| 40 | double GST0(double mjd0)
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| 41 | /* Copie depuis le code de Xephem (utc_gst.c) car pas prototype*/
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| 42 | {
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| 43 | double T, x;
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| 44 | T = ((int)(mjd0 - 0.5) + 0.5 - J2000)/36525.0;
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| 45 | x = 24110.54841 +
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| 46 | (8640184.812866 + (0.093104 - 6.2e-6 * T) * T) * T;
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| 47 | x /= 3600.0;
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| 48 | range(&x, 24.0);
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| 49 | return (x);
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| 50 | }
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| 51 |
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| 52 | /*! \ingroup XAstroPack
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| 53 | \brief return local sidereal time from modified julian day and longitude
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| 54 | \warning nutation or obliquity correction are taken into account.
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| 55 | */
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| 56 | double LSTfrMJD(double mjd,double geolng)
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| 57 | {
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| 58 | double eps,lst,deps,dpsi;
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| 59 | utc_gst(mjd_day(mjd),mjd_hr(mjd),&lst);
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| 60 | lst += deghr(geolng);
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| 61 | obliquity(mjd,&eps);
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| 62 | nutation(mjd,&deps,&dpsi);
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| 63 | lst += radhr(dpsi*cos(eps+deps));
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| 64 | InRange(&lst,24.);
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| 65 | return lst;
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| 66 | }
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| 67 |
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| 68 | /*! \ingroup XAstroPack
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| 69 | \brief Give a time in h:mn:s from a decimal hour
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| 70 | \verbatim
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| 71 | // INPUT: hd
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| 72 | // OUTPUT: h mn s (h,mn,s >=< 0)
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| 73 | // REMARQUE: si hd<0 alors h<0 ET mn<0 ET s<0
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| 74 | // EX: 12.51 -> h=12 mn=30 s=10 ;
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| 75 | // -12.51 -> h=-12 mn=-30 s=-10 ;
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| 76 | \endverbatim
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| 77 | */
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| 78 | void HMSfrHdec(double hd,int *h,int *mn,double *s)
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| 79 | {
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| 80 | int sgn=1;
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| 81 | if(hd<0.) {sgn=-1; hd*=-1.;}
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| 82 | *h = int(hd);
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| 83 | *mn = int((hd-(double)(*h))*60.);
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| 84 | *s = (hd - (double)(*h) - (double)(*mn)/60.)*3600.;
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| 85 | // pb precision
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| 86 | if(*s<0.) *s = 0.;
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| 87 | if(*s>60. || *s==60.) {*s-=60.; *mn+=1;} // s=double attention comparaison
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| 88 | if(*mn<0) *mn = 0;
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| 89 | if(*mn>=60) {*mn-=60; *h+=1;}
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| 90 | *h *= sgn; *mn *= sgn; *s *= (double)sgn;
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| 91 | }
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| 92 |
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| 93 | /*! \ingroup XAstroPack
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| 94 | \brief Give a decimal hour from a time in h:mn:s
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| 95 | \verbatim
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| 96 | // INPUT: h , mn , s (h,mn,s >=< 0)
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| 97 | // RETURN: en heures decimales
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| 98 | // REMARQUE: pour avoir hd=-12.51 <- h=-12 mn=-30 s=-10
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| 99 | \endverbatim
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| 100 | */
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| 101 | double HdecfrHMS(int h,int mn,double s)
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| 102 | {
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| 103 | return ((double)h + (double)mn/60. + s/3600.);
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| 104 | }
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| 105 |
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| 106 | /*! \ingroup XAstroPack
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| 107 | \brief Give a time string from a time in h:mn:s
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| 108 | \verbatim
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| 109 | // INPUT: h , mn , s (h,mn,s >=< 0)
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| 110 | // RETURN: string h:mn:s
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| 111 | \endverbatim
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| 112 | */
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| 113 | string ToStringHMS(int h,int mn,double s)
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| 114 | {
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| 115 | double hd = HdecfrHMS(h,mn,s); // put in range
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| 116 | HMSfrHdec(hd,&h,&mn,&s);
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| 117 | char str[128];
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| 118 | if(hd<0.)
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| 119 | sprintf(str,"-%d:%d:%.3f",-h,-mn,-s);
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| 120 | else
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| 121 | sprintf(str,"%d:%d:%.3f",h,mn,s);
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| 122 | string dum = str;
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| 123 | return dum;
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| 124 | }
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| 125 |
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| 126 | /*! \ingroup XAstroPack
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| 127 | \brief Give a time string from a decimal hour
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| 128 | */
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| 129 | string ToStringHdec(double hd)
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| 130 | {
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| 131 | int h,mn; double s;
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| 132 | HMSfrHdec(hd,&h,&mn,&s);
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| 133 | return ToStringHMS(h,mn,s);
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| 134 | }
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| 135 |
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| 136 | /*! \ingroup XAstroPack
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| 137 | \brief Compute precession between 2 dates.
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| 138 | */
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| 139 | void Precess(double mjd1,double mjd2,double ra1,double dec1,double *ra2,double *dec2)
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| 140 | {
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| 141 | ra1 = hrrad(ra1); // radians
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| 142 | dec1 = degrad(dec1); // radians
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| 143 | precess(mjd1,mjd2,&ra1,&dec1);
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| 144 | *ra2 = radhr(ra1); InRange(ra2,24.);
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| 145 | *dec2 = raddeg(dec1);
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| 146 | }
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| 147 |
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| 148 | /*! \ingroup XAstroPack
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| 149 | \brief Convert equatorial coordinates for the given epoch into galactic coordinates
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| 150 | */
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| 151 | void EqtoGal(double mjd,double ra,double dec, double *glng,double *glat)
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| 152 | // Coordonnees equatoriales -> Coordonnees galactiques
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| 153 | {
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| 154 | ra = hrrad(ra); // radians
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| 155 | dec = degrad(dec); // radians
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| 156 | eq_gal(mjd,ra,dec,glat,glng);
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| 157 | // Vraiment bizarre, sur Linux-g++ glng>=360 ne comprend pas glng==360 ! (CMV)
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| 158 | *glng = raddeg(*glng); InRange(glng,360.);
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| 159 | *glat = raddeg(*glat);
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| 160 | }
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| 161 |
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| 162 | /*! \ingroup XAstroPack
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| 163 | \brief Convert galactic coordinates into equatorial coordinates at the given epoch
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| 164 | */
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| 165 | void GaltoEq(double mjd,double glng,double glat,double *ra,double *dec)
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| 166 | // Coordonnees galactiques -> Coordonnees equatoriales
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| 167 | {
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| 168 | glng = degrad(glng); // radians
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| 169 | glat = degrad(glat); // radians
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| 170 | gal_eq (mjd,glat,glng,ra,dec);
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| 171 | *ra = radhr(*ra); InRange(ra,24.);
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| 172 | *dec = raddeg(*dec);
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| 173 | }
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| 174 |
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| 175 | /*! \ingroup XAstroPack
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| 176 | \brief Convert equatorial coordinates (with hour angle instead of right ascension) into horizontal coordinates.
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| 177 | */
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| 178 | void EqHtoHor(double geolat,double ha,double dec,double *az,double *alt)
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| 179 | // Coordonnees equatoriales -> Coordonnees horizontales
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| 180 | {
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| 181 | geolat = degrad(geolat); // radians
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| 182 | ha = hrrad(ha); // radians
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| 183 | dec = degrad(dec); // radians
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| 184 | hadec_aa (geolat,ha,dec,alt,az);
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| 185 | *alt = raddeg(*alt);
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| 186 | *az = raddeg(*az); InRange(az,360.);
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| 187 | }
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| 188 |
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| 189 | /*! \ingroup XAstroPack
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| 190 | Convert horizontal coordinates into equatorial coordinates (with hour angle instead of right ascension).
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| 191 | */
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| 192 | void HortoEqH(double geolat,double az,double alt,double *ha,double *dec)
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| 193 | // Coordonnees horizontales -> Coordonnees equatoriales
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| 194 | {
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| 195 | geolat = degrad(geolat); // radians
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| 196 | alt = degrad(alt); // radians
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| 197 | az = degrad(az); // radians
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| 198 | aa_hadec (geolat,alt,az,ha,dec);
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| 199 | *ha = radhr(*ha); InRange(ha,24.,12.);
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| 200 | *dec = raddeg(*dec);
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| 201 | }
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| 202 |
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| 203 | /*! \ingroup XAstroPack
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| 204 | \brief Convert equatorial coordinates into horizontal coordinates.
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| 205 | */
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| 206 | void EqtoHor(double geolat,double lst,double ra,double dec,double *az,double *alt)
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| 207 | // Coordonnees equatoriales -> Coordonnees horizontales
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| 208 | {
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| 209 | double ha = lst - ra; InRange(&ha,24.,12.);
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| 210 | geolat = degrad(geolat); // radians
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| 211 | ha = hrrad(ha); // radians
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| 212 | dec = degrad(dec); // radians
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| 213 | hadec_aa (geolat,ha,dec,alt,az);
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| 214 | *alt = raddeg(*alt);
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| 215 | *az = raddeg(*az); InRange(az,360.);
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| 216 | }
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| 217 |
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| 218 | /*! \ingroup XAstroPack
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| 219 | Convert horizontal coordinates into equatorial coordinates.
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| 220 | */
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| 221 | void HortoEq(double geolat,double lst,double az,double alt,double *ra,double *dec)
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| 222 | // Coordonnees horizontales -> Coordonnees equatoriales
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| 223 | {
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| 224 | double ha;
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| 225 | geolat = degrad(geolat); // radians
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| 226 | alt = degrad(alt); // radians
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| 227 | az = degrad(az); // radians
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| 228 | aa_hadec (geolat,alt,az,&ha,dec);
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| 229 | *ra = lst - radhr(ha); InRange(ra,24.);
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| 230 | *dec = raddeg(*dec);
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| 231 | }
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| 232 |
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| 233 | /*! \ingroup XAstroPack
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| 234 | \brief Convert equatorial coordinates into geocentric ecliptic coordinates given the modified Julian date.
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| 235 | \warning Correction for the effect on the angle of the obliquity due to nutation is not included.
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| 236 | */
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| 237 | // Attention, j'ai modifie eq_ecl.c pour proteger NaN
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| 238 | // dans ecleq_aux :
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| 239 | // *q = (sy*ceps)-(cy*seps*sx*sw);
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| 240 | // if(*q<-1.) *q = -PI/2.; else if(*q>1.) *q = PI/2.; else *q = asin(*q);
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| 241 | void EqtoEcl(double mjd,double ra,double dec,double *eclng,double *eclat)
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| 242 | // Coordonnees equatoriales -> Coordonnees ecliptiques
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| 243 | {
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| 244 | ra = hrrad(ra); // radians
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| 245 | dec = degrad(dec); // radians
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| 246 | eq_ecl(mjd,ra,dec,eclat,eclng);
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| 247 | *eclng = raddeg(*eclng); InRange(eclng,360.);
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| 248 | *eclat = raddeg(*eclat);
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| 249 | }
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| 250 |
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| 251 | /*! \ingroup XAstroPack
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| 252 | \brief Convert geocentric ecliptic coordinates into equatorial coordinates given the modified Julian date.
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| 253 | \warning Correction for the effect on the angle of the obliquity due to nutation is not included.
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| 254 | */
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| 255 | void EcltoEq(double mjd,double eclng,double eclat,double *ra,double *dec)
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| 256 | // Coordonnees ecliptiques -> Coordonnees equatoriales
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| 257 | {
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| 258 | eclat = degrad(eclat); // radians
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| 259 | eclng = degrad(eclng); // radians
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| 260 | ecl_eq(mjd,eclat,eclng,ra,dec);
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| 261 | *ra = radhr(*ra); InRange(ra,24.);
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| 262 | *dec = raddeg(*dec);
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| 263 | }
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| 264 |
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| 265 | /*! \ingroup XAstroPack
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| 266 | \brief Give Sun position
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| 267 | \verbatim
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| 268 | given the modified JD, mjd, return the true geocentric ecliptic longitude
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| 269 | of the sun for the mean equinox of the date, *eclsn, in degres, the
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| 270 | sun-earth distance, *rsn, in AU, and the latitude *ecbsn, in degres
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| 271 | (since this is always <= 1.2 arcseconds, in can be neglected by
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| 272 | calling with ecbsn = NULL).
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| 273 | - REMARQUE:
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| 274 | * if the APPARENT ecliptic longitude is required, correct the longitude for
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| 275 | * nutation to the true equinox of date and for aberration (light travel time,
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| 276 | * approximately -9.27e7/186000/(3600*24*365)*2*pi = -9.93e-5 radians).
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| 277 | \endverbatim
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| 278 | */
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| 279 | void SunPos(double mjd,double *eclsn,double *ecbsn,double *rsn)
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| 280 | {
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| 281 | sunpos(mjd,eclsn,rsn,ecbsn);
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| 282 | *eclsn = raddeg(*eclsn); InRange(eclsn,360.);
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| 283 | if(ecbsn!=NULL) *ecbsn = raddeg(*ecbsn);
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| 284 | }
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| 285 |
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| 286 | /*! \ingroup XAstroPack
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| 287 | \brief Give Moon position
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| 288 | \verbatim
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| 289 | given the mjd, find the geocentric ecliptic longitude, lam, and latitude,
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| 290 | bet, and geocentric distance, rho in a.u. for the moon. also return
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| 291 | the sun's mean anomaly, *msp, and the moon's mean anomaly, *mdp.
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| 292 | (for the mean equinox)
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| 293 | \endverbatim
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| 294 | */
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| 295 | void MoonPos(double mjd,double *eclmn,double *ecbmn,double *rho)
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| 296 | {
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| 297 | double msp,mdp;
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| 298 | moon(mjd,eclmn,ecbmn,rho,&msp,&mdp);
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| 299 | *eclmn = raddeg(*eclmn); InRange(eclmn,360.);
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| 300 | *ecbmn = raddeg(*ecbmn);
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| 301 | }
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| 302 |
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| 303 | /*! \ingroup XAstroPack
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| 304 | \brief Give planet position
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| 305 | \verbatim
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| 306 | * given a modified Julian date, mjd, and a planet, p, find:
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| 307 | * sunecl: heliocentric longitude,
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| 308 | * sunecb: heliocentric latitude,
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| 309 | * sundist: distance from the sun to the planet,
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| 310 | * geodist: distance from the Earth to the planet,
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| 311 | * none corrected for light time, ie, they are the true values for the
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| 312 | * given instant.
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| 313 | * geoecl: geocentric ecliptic longitude,
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| 314 | * geoecb: geocentric ecliptic latitude,
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| 315 | * each corrected for light time, ie, they are the apparent values as
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| 316 | * seen from the center of the Earth for the given instant.
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| 317 | * diamang: angular diameter in arcsec at 1 AU,
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| 318 | * mag: visual magnitude when 1 AU from sun and earth at 0 phase angle.
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| 319 | * (for the mean equinox)
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| 320 | * all angles are in degres, all distances in AU.
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| 321 | *
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| 322 | * corrections for nutation and abberation must be made by the caller. The RA
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| 323 | * and DEC calculated from the fully-corrected ecliptic coordinates are then
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| 324 | * the apparent geocentric coordinates. Further corrections can be made, if
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| 325 | * required, for atmospheric refraction and geocentric parallax.
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| 326 | \endverbatim
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| 327 | */
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| 328 | void PlanetPos(double mjd,int numplan,double *sunecl,double *sunecb,double *sundist
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| 329 | ,double *geodist,double *geoecl,double *geoecb
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| 330 | ,double *diamang,double *mag)
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| 331 | {
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| 332 | plans(mjd,numplan,sunecl,sunecb,sundist,geodist,geoecl,geoecb,diamang,mag);
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| 333 | *geoecl = raddeg(*geoecl); InRange(geoecl,360.);
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| 334 | *geoecb = raddeg(*geoecb);
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| 335 | *sunecl = raddeg(*sunecl); InRange(sunecl,360.);
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| 336 | *sunecb = raddeg(*sunecb);
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| 337 | }
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| 338 |
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| 339 | /*! \ingroup XAstroPack
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| 340 | \brief Given a coordinate type "typ", convert to standard for astropack
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| 341 | \verbatim
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| 342 | // Return : 0 = OK
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| 343 | // 1 = Unknown type of coordinates
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| 344 | // 2 = bad range for coord1
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| 345 | // 4 = bad range for coord2
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| 346 | // 6 = bad range for coord1 et coord2
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| 347 | \endverbatim
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| 348 | */
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| 349 | int CoordConvertToStd(TypAstroCoord typ,double& coord1,double& coord2)
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| 350 | {
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| 351 | int rc = 0;
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| 352 |
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| 353 | // ---- Equatoriales alpha,delta
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| 354 | // - standard = [0,24[ , [-90,90]
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| 355 | if(typ&TypCoordEq) {
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| 356 | if(typ&TypCoordDD) {
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| 357 | coord1 = deghr(coord1);
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| 358 | } else if(typ&TypCoordRR) {
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| 359 | coord1 = radhr(coord1);
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| 360 | coord2 = raddeg(coord2);
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| 361 | }
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| 362 | if(coord1==24.) coord1 = 0.;
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| 363 | if(coord1<0. || coord1>=24.) rc+= 2;
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| 364 | if(coord2<-90. || coord2>90. ) rc+= 4;
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| 365 |
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| 366 | // ---- Galactiques gLong, gLat
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| 367 | // ---- Horizontales azimuth,altitude
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| 368 | // ---- Ecliptiques EclLong,EclLat
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| 369 | // - standard = [0,360[ , [-90,90]
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| 370 | } else if( typ&TypCoordGal || typ&TypCoordHor || typ&TypCoordEcl) {
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| 371 | if(typ&TypCoordHD) {
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| 372 | coord1 = hrdeg(coord1);
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| 373 | } else if(typ&TypCoordRR) {
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| 374 | coord1 = raddeg(coord1);
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| 375 | coord2 = raddeg(coord2);
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| 376 | }
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| 377 | if(coord1==360.) coord1 = 0.;
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| 378 | if(coord1<0. || coord1>=360.) rc+= 2;
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| 379 | if(coord2<-90. || coord2>90. ) rc+= 4;
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| 380 |
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| 381 | } else { // Coordonnees non-connues
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| 382 | rc= 1;
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| 383 | }
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|---|
| 384 |
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| 385 | return rc;
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|---|
| 386 | }
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