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- #include <math.h>
- #include "astro.h"
-
- /* given a modified Julian date, mjd, and a set of heliocentric parabolic
- * orbital elements referred to the epoch of date (mjd):
- * ep: epoch of perihelion,
- * inc: inclination,
- * ap: argument of perihelion (equals the longitude of perihelion minus the
- * longitude of ascending node)
- * qp: perihelion distance,
- * om: longitude of ascending node;
- * find:
- * lpd: heliocentric longitude,
- * psi: heliocentric latitude,
- * rp: distance from the sun to the planet,
- * rho: distance from the Earth to the planet,
- * lam: geocentric ecliptic longitude,
- * bet: geocentric ecliptic latitude,
- * none are corrected for light time, ie, they are the true values for
- * the given instant.
- *
- * all angles are in radians, all distances in AU.
- * mutual perturbation corrections with other solar system objects are not
- * applied. corrections for nutation and abberation must be made by the caller.
- * The RA and DEC calculated from the fully-corrected ecliptic coordinates are
- * then the apparent geocentric coordinates. Further corrections can be made,
- * if required, for atmospheric refraction and geocentric parallax.
- */
- comet (mjd, ep, inc, ap, qp, om, lpd, psi, rp, rho, lam, bet)
- double mjd;
- double ep, inc, ap, qp, om;
- double *lpd, *psi, *rp, *rho, *lam, *bet;
- {
- double w, s, s2;
- double l, sl, cl, y;
- double spsi, cpsi;
- double rd, lsn, rsn;
- double lg, re, ll;
- double cll, sll;
- double nu;
-
- #define ERRLMT 0.0001
- w = ((mjd-ep)*3.649116e-02)/(qp*sqrt(qp));
- s = w/3;
- while (1) {
- double d;
- s2 = s*s;
- d = (s2+3)*s-w;
- if (fabs(d) <= ERRLMT)
- break;
- s = ((2*s*s2)+w)/(3*(s2+1));
- }
-
- nu = 2*atan(s);
- *rp = qp*(1+s2);
- l = nu+ap;
- sl = sin(l);
- cl = cos(l);
- spsi = sl*sin(inc);
- *psi = asin(spsi);
- y = sl*cos(inc);
- *lpd = atan(y/cl)+om;
- cpsi = cos(*psi);
- if (cl<0) *lpd += PI;
- range (lpd, 2*PI);
- rd = *rp * cpsi;
- sunpos (mjd, &lsn, &rsn);
- lg = lsn+PI;
- re = rsn;
- ll = *lpd - lg;
- cll = cos(ll);
- sll = sin(ll);
- *rho = sqrt((re * re)+(*rp * *rp)-(2*re*rd*cll));
- if (rd<re)
- *lam = atan((-1*rd*sll)/(re-(rd*cll)))+lg+PI;
- else
- *lam = atan((re*sll)/(rd-(re*cll)))+*lpd;
- range (lam, 2*PI);
- *bet = atan((rd*spsi*sin(*lam-*lpd))/(cpsi*re*sll));
- }
-