XEphem/libastro/astro.h

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#ifndef _ASTRO_H
#define _ASTRO_H
#include <stdio.h>
#ifndef PI
#define PI 3.141592653589793238
#endif
#ifndef TWOPI
#define TWOPI 6.283185307179586477
#endif
/* conversions among hours (of ra), degrees and radians. */
#define degrad(x) ((x)*PI/180.)
#define raddeg(x) ((x)*180./PI)
#define radarcsec(x) ((x)*2.06264806247096355e5)
#define arcsecrad(x) ((x)*4.84813681109535993e-6)
#define hrdeg(x) ((x)*15.)
#define deghr(x) ((x)/15.)
#define hrrad(x) degrad(hrdeg(x))
#define radhr(x) deghr(raddeg(x))
/* ratio of from synodic (solar) to sidereal (stellar) rate */
#define SIDRATE .9972695677
/* manifest names for planets.
* N.B. must coincide with usage in pelement.c and plans.c.
* N.B. only the first 8 are valid for use with plans().
*/
typedef enum {
MERCURY,
VENUS,
MARS,
JUPITER,
SATURN,
URANUS,
NEPTUNE,
PLUTO,
SUN,
MOON,
NOBJ /* total number of basic objects */
} PLCode;
/* moon constants for pl_moon */
typedef enum {
X_PLANET = 0, /* use to mean planet itself */
PHOBOS = NOBJ, DEIMOS,
IO, EUROPA, GANYMEDE, CALLISTO,
MIMAS, ENCELADUS, TETHYS, DIONE, RHEA, TITAN, HYPERION, IAPETUS,
ARIEL, UMBRIEL, TITANIA, OBERON, MIRANDA,
NBUILTIN
} MCode;
/* starting point for MJD calculations
*/
#define MJD0 2415020.0
#define J2000 (2451545.0 - MJD0) /* yes, 2000 January 1 at 12h */
#define J2015 (2457024.0 - MJD0)
/* the Now and Obj typedefs.
* also, a few miscellaneous constants and declarations.
*/
#define SPD (24.0*3600.0) /* seconds per day */
#define MAU (1.4959787e11) /* m / au */
#define LTAU 499.005 /* seconds light takes to travel 1 AU */
#define ERAD (6.37816e6) /* earth equitorial radius, m */
#define MRAD (1.740e6) /* moon equitorial radius, m */
#define SRAD (6.95e8) /* sun equitorial radius, m */
#define FTPM 3.28084 /* ft per m */
#define ESAT_MAG 2 /* default satellite magnitude */
#define FAST_SAT_RPD 0.25 /* max earth sat rev/day considered "fast" */
#define EOD (-9786) /* special epoch flag: use epoch of date */
/* info about the local observing circumstances and misc preferences */
typedef struct {
double n_mjd; /* modified Julian date, ie, days since
* Jan 0.5 1900 (== 12 noon, Dec 30, 1899), utc.
* enough precision to get well better than 1 second.
* N.B. if not first member, must move NOMJD inits.
*/
double n_lat; /* geographic (surface-normal) lt, >0 north, rads */
double n_lng; /* longitude, >0 east, rads */
double n_tz; /* time zone, hrs behind UTC */
double n_temp; /* atmospheric temp, degrees C */
double n_pressure; /* atmospheric pressure, mBar */
double n_elev; /* elevation above sea level, earth radii */
double n_dip; /* dip of sun below hzn at twilight, >0 below, rads */
double n_epoch; /* desired precession display ep as an mjd, or EOD */
char n_tznm[8]; /* time zone name; 7 chars or less, always 0 at end */
} Now;
/* handy shorthands for fields in a Now pointer, np */
#define mjd np->n_mjd
#define lat np->n_lat
#define lng np->n_lng
#define tz np->n_tz
#define temp np->n_temp
#define pressure np->n_pressure
#define elev np->n_elev
#define dip np->n_dip
#define epoch np->n_epoch
#define tznm np->n_tznm
#define mjed mm_mjed(np)
/* structures to describe objects of various types.
*/
/* magnitude values in two different systems */
typedef struct {
float m1, m2; /* either g/k or H/G, depending on... */
int whichm; /* one of MAG_gk or MAG_HG */
} Mag;
/* whichm */
#define MAG_HG 0 /* using 0 makes HG the initial default */
#define MAG_gk 1
/* we actually store magnitudes times this scale factor in a short int */
#define MAGSCALE 100.0
#define set_smag(op,m) ((op)->s_mag = (short)floor((m)*MAGSCALE + 0.5))
#define set_fmag(op,m) ((op)->f_mag = (short)floor((m)*MAGSCALE + 0.5))
#define get_mag(op) ((op)->s_mag / MAGSCALE)
#define get_fmag(op) ((op)->f_mag / MAGSCALE)
/* longest object name, including trailing '\0' */
#define MAXNM 21
typedef unsigned char ObjType_t;
typedef unsigned char ObjAge_t;
typedef unsigned char byte;
/* Obj is a massive union.
* many fields are in common so we use macros to make things a little easier.
*/
/* fields common to *all* structs in the Obj union */
#define OBJ_COMMON_FLDS \
ObjType_t co_type; /* current object type; see flags, below */ \
byte co_flags; /* FUSER*... used by others */ \
ObjAge_t co_age; /* update aging code; see db.c */ \
char co_name[MAXNM];/* name, including \0 */ \
float co_ra; /* geo/topo app/mean ra, rads */ \
float co_dec; /* geo/topo app/mean dec, rads */ \
float co_gaera; /* geo apparent ra, rads */ \
float co_gaedec; /* geo apparent dec, rads */ \
float co_az; /* azimuth, >0 e of n, rads */ \
float co_alt; /* altitude above topocentric horizon, rads */ \
float co_elong; /* angular sep btwen obj and sun, >0 E, degs */ \
float co_size; /* angular size, arc secs */ \
short co_mag /* visual magnitude * MAGSCALE */
/* fields common to all solar system objects in the Obj union */
#define OBJ_SOLSYS_FLDS \
OBJ_COMMON_FLDS; /* all the fixed ones plus ... */ \
float so_sdist; /* dist from object to sun, au */ \
float so_edist; /* dist from object to earth, au */ \
float so_hlong; /* heliocentric longitude, rads */ \
float so_hlat; /* heliocentric latitude, rads */ \
float so_phase /* phase, % */
/* fields common to all fixed objects in the Obj union */
#define OBJ_FIXED_FLDS \
char fo_spect[2]; /* spectral codes, if appropriate */ \
float fo_epoch; /* eq of ra/dec and time when pm=0; mjd */ \
float fo_ra; /* ra, rads, in epoch frame */ \
float fo_dec; /* dec, rads, in epoch frame */ \
float fo_pmra; /* ra proper motion, rads/day/cos(dec) */ \
float fo_pmdec; /* dec proper motion, rads/day */ \
char fo_class /* object class */
/* a generic object */
typedef struct {
OBJ_COMMON_FLDS;
} ObjAny;
/* a generic sol system object */
typedef struct {
OBJ_SOLSYS_FLDS;
} ObjSS;
/* basic Fixed object info.
*/
typedef struct {
OBJ_COMMON_FLDS;
OBJ_FIXED_FLDS;
/* following are for galaxies */
byte fo_ratio; /* minor/major diameter ratio. use s/get_ratio() */
byte fo_pa; /* position angle, E of N, rads. use s/get_pa() */
} ObjF;
/* true-orbit parameters of binary-star object type */
typedef struct {
float bo_T; /* epoch of periastron, years */
float bo_e; /* eccentricity */
float bo_o; /* argument of periastron, degress */
float bo_O; /* longitude of node, degrees */
float bo_i; /* inclination to plane of sky, degrees */
float bo_a; /* semi major axis, arc secs */
float bo_P; /* period, years */
/* companion position, computed by obj_cir() iff b_2compute */
float bo_pa; /* position angle @ ep, rads E of N */
float bo_sep; /* separation @ ep, arc secs */
float bo_ra; /* geo/topo app/mean ra, rads */
float bo_dec; /* geo/topo app/mean dec, rads */
} BinOrbit;
typedef struct {
float bp_ep; /* epoch of pa/sep, year */
float bp_pa; /* position angle @ ep, rads E of N */
float bp_sep; /* separation @ ep, arc secs */
/* companion position, computed by obj_cir() iff b_2compute */
float bp_ra; /* geo/topo app/mean ra, rads */
float bp_dec; /* geo/topo app/mean dec, rads */
} BinPos;
#define MAXBINPOS 2 /* max discrete epochs to store when no elements */
typedef struct {
OBJ_COMMON_FLDS;
OBJ_FIXED_FLDS;
byte b_2compute; /* whether to compute secondary positions */
byte b_nbp; /* number of b_bp[] or 0 to use b_bo */
short b_2mag; /* secondary's magnitude * MAGSCALE */
char b_2spect[2]; /* secondary's spectrum */
/* either a real orbit or a set of discrete pa/sep */
union {
BinOrbit b_bo; /* orbital elements */
BinPos b_bp[MAXBINPOS]; /* table of discrete positions */
} u;
} ObjB;
#define fo_mag co_mag /* pseudonym for so_mag since it is not computed */
#define fo_size co_size /* pseudonym for so_size since it is not computed */
/* macros to pack/unpack some fields */
#define SRSCALE 255.0 /* galaxy size ratio scale */
#define PASCALE (255.0/(2*PI)) /* pos angle scale factor */
#define get_ratio(op) (((int)(op)->f_ratio)/SRSCALE)
#define set_ratio(op,maj,min) ((op)->f_ratio = (byte)(((maj) > 0) \
? ((min)*SRSCALE/(double)(maj)+0.5) \
: 0))
#define get_pa(op) ((double)(op)->f_pa/PASCALE)
#define set_pa(op,s) ((op)->f_pa = (byte)((s)*PASCALE + 0.5))
#define NCLASSES 128 /* n potential fo_classes -- allow for all ASCII */
/* basic planet object info */
typedef struct {
OBJ_SOLSYS_FLDS;
PLCode plo_code; /* which planet */
MCode plo_moon; /* which moon, or X_PLANET if planet */
char plo_evis, plo_svis; /* if moon: whether visible from earth, sun */
double plo_x, plo_y, plo_z; /* if moon: eq dist from center, planet radii */
double plo_aux1, plo_aux2; /* various values, depending on type */
} ObjPl;
/* basic info about an object in elliptical heliocentric orbit */
typedef struct {
OBJ_SOLSYS_FLDS;
float eo_inc; /* inclination, degrees */
float eo_Om; /* longitude of ascending node, degrees */
float eo_om; /* argument of perihelion, degress */
float eo_a; /* mean distance, aka,semi-maj axis,AU */
float eo_M; /* mean anomaly, ie, degrees from perihelion at cepoch*/
float eo_size; /* angular size, in arc seconds at 1 AU */
float eo_startok; /* nominal first mjd this set is ok, else 0 */
float eo_endok; /* nominal last mjd this set is ok, else 0 */
double eo_e; /* eccentricity (double for when near 1 computing q) */
double eo_cepoch; /* epoch date (M reference), as an mjd */
double eo_epoch; /* equinox year (inc/Om/om reference), as an mjd. */
Mag eo_mag; /* magnitude */
} ObjE;
/* basic info about an object in hyperbolic heliocentric orbit */
typedef struct {
OBJ_SOLSYS_FLDS;
double ho_epoch; /* equinox year (inc/Om/om reference), as an mjd */
double ho_ep; /* epoch of perihelion, as an mjd */
float ho_startok; /* nominal first mjd this set is ok, else 0 */
float ho_endok; /* nominal last mjd this set is ok, else 0 */
float ho_inc; /* inclination, degs */
float ho_Om; /* longitude of ascending node, degs */
float ho_om; /* argument of perihelion, degs. */
float ho_e; /* eccentricity */
float ho_qp; /* perihelion distance, AU */
float ho_g, ho_k; /* magnitude model coefficients */
float ho_size; /* angular size, in arc seconds at 1 AU */
} ObjH;
/* basic info about an object in parabolic heliocentric orbit */
typedef struct {
OBJ_SOLSYS_FLDS;
double po_epoch; /* reference epoch, as an mjd */
double po_ep; /* epoch of perihelion, as an mjd */
float po_startok; /* nominal first mjd this set is ok, else 0 */
float po_endok; /* nominal last mjd this set is ok, else 0 */
float po_inc; /* inclination, degs */
float po_qp; /* perihelion distance, AU */
float po_om; /* argument of perihelion, degs. */
float po_Om; /* longitude of ascending node, degs */
float po_g, po_k; /* magnitude model coefficients */
float po_size; /* angular size, in arc seconds at 1 AU */
} ObjP;
/* basic earth satellite object info */
typedef struct {
OBJ_COMMON_FLDS;
double eso_epoch; /* reference epoch, as an mjd */
double eso_n; /* mean motion, rev/day
* N.B. we need double due to a sensitive differencing
* operation used to compute MeanAnomaly in
* esat_main()/satellite.c.
*/
float eso_startok; /* nominal first mjd this set is ok, else 0 */
float eso_endok; /* nominal last mjd this set is ok, else 0 */
float eso_inc; /* inclination, degs */
float eso_raan; /* RA of ascending node, degs */
float eso_e; /* eccentricity */
float eso_ap; /* argument of perigee at epoch, degs */
float eso_M; /* mean anomaly, ie, degrees from perigee at epoch */
float eso_decay; /* orbit decay rate, rev/day^2 */
float eso_drag; /* object drag coefficient, (earth radii)^-1 */
int eso_orbit; /* integer orbit number of epoch */
/* computed "sky" results unique to earth satellites */
float ess_elev; /* height of satellite above sea level, m */
float ess_range; /* line-of-site distance from observer to satellite, m*/
float ess_rangev; /* rate-of-change of range, m/s */
float ess_sublat; /* latitude below satellite, >0 north, rads */
float ess_sublng; /* longitude below satellite, >0 east, rads */
int ess_eclipsed;/* 1 if satellite is in earth's shadow, else 0 */
} ObjES;
typedef union {
ObjAny any; /* these fields valid for all types */
ObjSS anyss; /* these fields valid for all solar system types */
ObjPl pl; /* planet */
ObjF f; /* fixed object, plus proper motion */
ObjB b; /* bona fide binary stars (doubles are stored in f) */
ObjE e; /* object in heliocentric elliptical orbit */
ObjH h; /* object in heliocentric hyperbolic trajectory */
ObjP p; /* object in heliocentric parabolic trajectory */
ObjES es; /* earth satellite */
} Obj;
/* for o_flags -- everybody must agree */
#define FUSER0 0x01
#define FUSER1 0x02
#define FUSER2 0x04
#define FUSER3 0x08
#define FUSER4 0x10
#define FUSER5 0x20
#define FUSER6 0x40
#define FUSER7 0x80
/* mark an object as being a "field star" */
#define FLDSTAR FUSER3
/* mark an object as circum calculation failed */
#define NOCIRCUM FUSER7
/* Obj shorthands: */
#define o_type any.co_type
#define o_name any.co_name
#define o_flags any.co_flags
#define o_age any.co_age
#define s_ra any.co_ra
#define s_dec any.co_dec
#define s_gaera any.co_gaera
#define s_gaedec any.co_gaedec
#define s_az any.co_az
#define s_alt any.co_alt
#define s_elong any.co_elong
#define s_size any.co_size
#define s_mag any.co_mag
#define s_sdist anyss.so_sdist
#define s_edist anyss.so_edist
#define s_hlong anyss.so_hlong
#define s_hlat anyss.so_hlat
#define s_phase anyss.so_phase
#define s_elev es.ess_elev
#define s_range es.ess_range
#define s_rangev es.ess_rangev
#define s_sublat es.ess_sublat
#define s_sublng es.ess_sublng
#define s_eclipsed es.ess_eclipsed
#define f_class f.fo_class
#define f_spect f.fo_spect
#define f_ratio f.fo_ratio
#define f_pa f.fo_pa
#define f_epoch f.fo_epoch
#define f_RA f.fo_ra
#define f_pmRA f.fo_pmra
#define f_dec f.fo_dec
#define f_pmdec f.fo_pmdec
#define f_mag f.fo_mag
#define f_size f.fo_size
#define e_cepoch e.eo_cepoch
#define e_epoch e.eo_epoch
#define e_startok e.eo_startok
#define e_endok e.eo_endok
#define e_inc e.eo_inc
#define e_Om e.eo_Om
#define e_om e.eo_om
#define e_a e.eo_a
#define e_e e.eo_e
#define e_M e.eo_M
#define e_size e.eo_size
#define e_mag e.eo_mag
#define h_epoch h.ho_epoch
#define h_startok h.ho_startok
#define h_endok h.ho_endok
#define h_ep h.ho_ep
#define h_inc h.ho_inc
#define h_Om h.ho_Om
#define h_om h.ho_om
#define h_e h.ho_e
#define h_qp h.ho_qp
#define h_g h.ho_g
#define h_k h.ho_k
#define h_size h.ho_size
#define p_epoch p.po_epoch
#define p_startok p.po_startok
#define p_endok p.po_endok
#define p_ep p.po_ep
#define p_inc p.po_inc
#define p_qp p.po_qp
#define p_om p.po_om
#define p_Om p.po_Om
#define p_g p.po_g
#define p_k p.po_k
#define p_size p.po_size
#define es_epoch es.eso_epoch
#define es_startok es.eso_startok
#define es_endok es.eso_endok
#define es_inc es.eso_inc
#define es_raan es.eso_raan
#define es_e es.eso_e
#define es_ap es.eso_ap
#define es_M es.eso_M
#define es_n es.eso_n
#define es_decay es.eso_decay
#define es_drag es.eso_drag
#define es_orbit es.eso_orbit
#define pl_code pl.plo_code
#define pl_moon pl.plo_moon
#define pl_evis pl.plo_evis
#define pl_svis pl.plo_svis
#define pl_x pl.plo_x
#define pl_y pl.plo_y
#define pl_z pl.plo_z
#define pl_aux1 pl.plo_aux1
#define pl_aux2 pl.plo_aux2
#define b_2compute b.b_2compute
#define b_2spect b.b_2spect
#define b_2mag b.b_2mag
#define b_bo b.u.b_bo
#define b_bp b.u.b_bp
#define b_nbp b.b_nbp
/* insure we always refer to the fields and no monkey business */
#undef OBJ_COMMON_FLDS
#undef OBJ_SOLSYS_FLDS
/* o_type code.
* N.B. names are assigned in order in objmenu.c
* N.B. if add one add switch in obj_cir().
* N.B. UNDEFOBJ must be zero so new objects are undefinied by being zeroed.
* N.B. maintain the bitmasks too.
*/
enum ObjType {
UNDEFOBJ=0,
FIXED, BINARYSTAR, ELLIPTICAL, HYPERBOLIC, PARABOLIC, EARTHSAT, PLANET,
NOBJTYPES
};
/* types as handy bitmasks too */
#define OBJTYPE2MASK(t) (1<<(t))
#define FIXEDM OBJTYPE2MASK(FIXED)
#define BINARYSTARM OBJTYPE2MASK(BINARYSTAR)
#define ELLIPTICALM OBJTYPE2MASK(ELLIPTICAL)
#define HYPERBOLICM OBJTYPE2MASK(HYPERBOLIC)
#define PARABOLICM OBJTYPE2MASK(PARABOLIC)
#define EARTHSATM OBJTYPE2MASK(EARTHSAT)
#define PLANETM OBJTYPE2MASK(PLANET)
#define ALLM (~0)
/* rise, set and transit information.
*/
typedef struct {
int rs_flags; /* info about what has been computed and any
* special conditions; see flags, below.
*/
double rs_risetm; /* mjd time of rise today */
double rs_riseaz; /* azimuth of rise, rads E of N */
double rs_trantm; /* mjd time of transit today */
double rs_tranalt; /* altitude of transit, rads up from horizon */
double rs_tranaz; /* azimuth of transit, rads E of N */
double rs_settm; /* mjd time of set today */
double rs_setaz; /* azimuth of set, rads E of N */
} RiseSet;
/* RiseSet flags */
#define RS_NORISE 0x0001 /* object does not rise as such today */
#define RS_NOSET 0x0002 /* object does not set as such today */
#define RS_NOTRANS 0x0004 /* object does not transit as such today */
#define RS_CIRCUMPOLAR 0x0010 /* object stays up all day today */
#define RS_NEVERUP 0x0020 /* object never up at all today */
#define RS_ERROR 0x1000 /* can't figure out anything! */
#define RS_RISERR (0x0100|RS_ERROR) /* error computing rise */
#define RS_SETERR (0x0200|RS_ERROR) /* error computing set */
#define RS_TRANSERR (0x0400|RS_ERROR) /* error computing transit */
#define is_type(op,m) (OBJTYPE2MASK((op)->o_type) & (m))
/* any planet or its moons */
#define is_planet(op,p) (is_type(op,PLANETM) && op->pl_code == (p))
/* any solar system object */
#define is_ssobj(op) is_type(op,PLANETM|HYPERBOLICM|PARABOLICM|ELLIPTICALM)
/* natural satellite support */
typedef struct {
char *full; /* full name */
char *tag; /* Roman numeral tag */
float x, y, z; /* sky loc in planet radii: +x:east +y:south +z:front */
float ra, dec; /* sky location in ra/dec */
float mag; /* magnitude */
int evis; /* whether geometrically visible from earth */
int svis; /* whether in sun light */
int pshad; /* whether moon is casting shadow on planet */
int trans; /* whether moon is transiting */
float sx, sy; /* shadow sky loc in planet radii: +x:east +y:south */
} MoonData;
/* separate set for each planet -- use in pl_moon */
enum _marsmoons {
M_MARS = 0, /* == X_PLANET */
M_PHOBOS, M_DEIMOS,
M_NMOONS /* including planet at 0 */
};
enum _jupmoons {
J_JUPITER = 0, /* == X_PLANET */
J_IO, J_EUROPA, J_GANYMEDE, J_CALLISTO,
J_NMOONS /* including planet */
};
enum _satmoons {
S_SATURN = 0, /* == X_PLANET */
S_MIMAS, S_ENCELADUS, S_TETHYS, S_DIONE,
S_RHEA, S_TITAN, S_HYPERION, S_IAPETUS,
S_NMOONS /* including planet */
};
enum _uramoons {
U_URANUS = 0, /* == X_PLANET */
U_ARIEL, U_UMBRIEL, U_TITANIA, U_OBERON, U_MIRANDA,
U_NMOONS /* including planet */
};
#define X_MAXNMOONS S_NMOONS /* N.B. chosen by hand */
/* global function declarations */
/* aa_hadec.c */
extern void aa_hadec (double lt, double alt, double az, double *ha,
double *dec);
extern void hadec_aa (double lt, double ha, double dec, double *alt,
double *az);
/* aberration.c */
extern void ab_ecl (double m, double lsn, double *lam, double *bet);
extern void ab_eq (double m, double lsn, double *ra, double *dec);
/* airmass.c */
extern void airmass (double aa, double *Xp);
/* anomaly.c */
extern void anomaly (double ma, double s, double *nu, double *ea);
/* ap_as.c */
extern void ap_as ( Now *np, double Mjd, double *rap, double *decp);
extern void as_ap ( Now *np, double Mjd, double *rap, double *decp);
/* atlas.c */
extern char *um_atlas (double ra, double dec);
extern char *u2k_atlas (double ra, double dec);
extern char *msa_atlas (double ra, double dec);
/* aux.c */
extern double mm_mjed (Now *np);
/* chap95.c */
extern int chap95 (double m, int obj, double prec, double *ret);
/* chap95_data.c */
/* circum.c */
extern int obj_cir (Now *np, Obj *op);
/* comet.c */
extern void comet (double m, double ep, double inc, double ap, double qp,
double om, double *lpd, double *psi, double *rp, double *rho, double *lam,
double *bet);
/* constel.c */
#define NCNS 89
extern int cns_pick (double r, double d, double e);
extern int cns_id (char *abbrev);
extern char *cns_name (int id);
extern int cns_edges (double e, double **ra0p, double **dec0p, double **ra1p,
double **dec1p);
extern int cns_list (double ra, double dec, double e, double rad, int ids[]);
extern int cns_figure (int id, double e, double ra[],double dec[],int dcodes[]);
extern int cns_loadfigs (FILE *fp, char msg[]);
/* dbfmt.c */
extern int db_crack_line (char s[], Obj *op, char nm[][MAXNM], int nnm,
char whynot[]);
extern void db_write_line (Obj *op, char *lp);
extern int dbline_candidate (char line[]);
extern int get_fields (char *s, int delim, char *fields[]);
extern int db_tle (char *name, char *l1, char *l2, Obj *op);
extern int dateRangeOK (Now *np, Obj *op);
/* deltat.c */
extern double deltat (double m);
/* earthsat.c */
extern int obj_earthsat (Now *np, Obj *op);
/* eq_ecl.c */
extern void eq_ecl (double m, double ra, double dec, double *lt,double *lg);
extern void ecl_eq (double m, double lt, double lg, double *ra,double *dec);
/* eq_gal.c */
extern void eq_gal (double m, double ra, double dec, double *lt,double *lg);
extern void gal_eq (double m, double lt, double lg, double *ra,double *dec);
/* formats.c */
extern int fs_sexa (char *out, double a, int w, int fracbase);
extern int fs_date (char out[], int format, double jd);
extern int f_scansexa (const char *str, double *dp);
extern void f_sscandate (char *bp, int pref, int *m, double *d, int *y);
/* helio.c */
extern void heliocorr (double jd, double ra, double dec, double *hcp);
/* jupmoon.c */
extern void jupiter_data (double Mjd, char dir[], Obj *sop, Obj *jop,
double *jupsize, double *cmlI, double *cmlII, double *polera,
double *poledec, MoonData md[J_NMOONS]);
/* libration.c */
extern void llibration (double JD, double *llatp, double *llonp);
/* magdecl.c */
extern int magdecl (double l, double L, double e, double y, char *dir,
double *dp, char *err);
/* marsmoon.c */
extern void marsm_data (double Mjd, char dir[], Obj *sop, Obj *mop,
double *marssize, double *polera, double *poledec, MoonData md[M_NMOONS]);
/* misc.c */
extern void zero_mem (void *loc, unsigned len);
extern int tickmarks (double min, double max, int numdiv, double ticks[]);
extern int lc (int cx, int cy, int cw, int x1, int y1, int x2, int y2,
int *sx1, int *sy1, int *sx2, int *sy2);
extern void hg_mag (double h, double g, double rp, double rho, double rsn,
double *mp);
extern int magdiam (int fmag, int magstp, double scale, double mag,
double size);
extern void gk_mag (double g, double k, double rp, double rho, double *mp);
extern double atod (char *buf);
extern void solve_sphere (double A, double b, double cc, double sc,
double *cap, double *Bp);
extern double delra (double dra);
extern void now_lst (Now *np, double *lstp);
extern void radec2ha (Now *np, double ra, double dec, double *hap);
extern void gha (Now *np, Obj *op, double *ghap);
extern char *obj_description (Obj *op);
extern int is_deepsky (Obj *op);
/* mjd.c */
extern void cal_mjd (int mn, double dy, int yr, double *m);
extern void mjd_cal (double m, int *mn, double *dy, int *yr);
extern int mjd_dow (double m, int *dow);
extern int isleapyear (int year);
extern void mjd_dpm (double m, int *ndays);
extern void mjd_year (double m, double *yr);
extern void year_mjd (double y, double *m);
extern void rnd_second (double *t);
extern void mjd_dayno (double jd, int *yr, double *dy);
extern double mjd_day (double jd);
extern double mjd_hr (double jd);
extern void range (double *v, double r);
extern void radecrange (double *ra, double *dec);
/* moon.c */
extern void moon (double m, double *lam, double *bet, double *rho,
double *msp, double *mdp);
/* mooncolong.c */
extern void moon_colong (double jd, double lt, double lg, double *cp,
double *kp, double *ap, double *sp);
/* moonnf.c */
extern void moonnf (double mj, double *mjn, double *mjf);
/* nutation.c */
extern void nutation (double m, double *deps, double *dpsi);
extern void nut_eq (double m, double *ra, double *dec);
/* obliq.c */
extern void obliquity (double m, double *eps);
/* parallax.c */
extern void ta_par (double tha, double tdec, double phi, double ht,
double *rho, double *aha, double *adec);
/* parallactic.c */
extern double parallacticLDA (double lt, double dec, double alt);
extern double parallacticLHD (double lt, double ha, double dec);
/* plans.c */
extern void plans (double m, PLCode p, double *lpd0, double *psi0,
double *rp0, double *rho0, double *lam, double *bet, double *dia,
double *mag);
/* plshadow.c */
extern int plshadow (Obj *op, Obj *sop, double polera,
double poledec, double x, double y, double z, float *sxp, float *syp);
/* plmoon_cir.c */
extern int plmoon_cir (Now *np, Obj *moonop);
extern int getBuiltInObjs (Obj **opp);
extern void setMoonDir (char *dir);
/* precess.c */
extern void precess (double mjd1, double mjd2, double *ra, double *dec);
/* reduce.c */
extern void reduce_elements (double mjd0, double m, double inc0,
double ap0, double om0, double *inc, double *ap, double *om);
/* refract.c */
extern void unrefract (double pr, double tr, double aa, double *ta);
extern void refract (double pr, double tr, double ta, double *aa);
/* rings.c */
extern void satrings (double sb, double sl, double sr, double el, double er,
double JD, double *etiltp, double *stiltp);
/* riset.c */
extern void riset (double ra, double dec, double lt, double dis,
double *lstr, double *lsts, double *azr, double *azs, int *status);
/* riset_cir.c */
extern void riset_cir (Now *np, Obj *op, double dis, RiseSet *rp);
extern void twilight_cir (Now *np, double dis, double *dawn, double *dusk,
int *status);
/* satmoon.c */
extern void saturn_data (double Mjd, char dir[], Obj *eop, Obj *sop,
double *satsize, double *etilt, double *stlit, double *polera,
double *poledec, MoonData md[S_NMOONS]);
/* sphcart.c */
extern void sphcart (double l, double b, double r, double *x, double *y,
double *z);
extern void cartsph (double x, double y, double z, double *l, double *b,
double *r);
/* sun.c */
extern void sunpos (double m, double *lsn, double *rsn, double *bsn);
/* twobody.c */
extern int vrc (double *v, double *r, double tp, double e, double q);
/* umoon.c */
extern void uranus_data (double Mjd, char dir[], Obj *sop, Obj *uop,
double *usize, double *polera, double *poledec, MoonData md[U_NMOONS]);
/* utc_gst.c */
extern void utc_gst (double m, double utc, double *gst);
extern void gst_utc (double m, double gst, double *utc);
/* vsop87.c */
extern int vsop87 (double m, int obj, double prec, double *ret);
#endif /* _ASTRO_H */