/************************************************************************** * planets.c * * Written 1997 by Durk Talsma, started October, 1997. For the flight gear * project. * * 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 2 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., 675 Mass Ave, Cambridge, MA 02139, USA. * * $Id$ * (Log is kept at end of this file) **************************************************************************/ #include "../Time/fg_time.h" #include "orbits.h" #include "planets.h" #include "sun.h" struct CelestialCoord fgCalculatePlanet(struct OrbElements planet, struct OrbElements theSun, struct fgTIME t, int idx) { struct CelestialCoord result; struct SunPos SolarPosition; double eccAnom, r, v, ecl, actTime, R, s, ir, Nr, B, FV, ring_magn, xv, yv, xh, yh, zh, xg, yg, zg, xe, ye, ze; actTime = fgCalcActTime(t); /* calculate the angle between ecliptic and equatorial coordinate system */ ecl = fgDegToRad(23.4393 - 3.563E-7 * actTime); /* calculate the eccentric anomaly */ eccAnom = fgCalcEccAnom(planet.M, planet.e); /* calculate the planets distance (r) and true anomaly (v) */ xv = planet.a * (cos(eccAnom) - planet.e); yv = planet.a * (sqrt(1.0 - planet.e*planet.e) * sin(eccAnom)); v = atan2(yv, xv); r = sqrt ( xv*xv + yv*yv); /* calculate the planets position in 3-dimensional space */ xh = r * ( cos(planet.N) * cos(v+planet.w) - sin(planet.N) * sin(v+planet.w) * cos(planet.i)); yh = r * ( sin(planet.N) * cos(v+planet.w) + cos(planet.N) * sin(v+planet.w) * cos(planet.i)); zh = r * ( sin(v+planet.w) * sin(planet.i)); /* calculate the ecleptic longitude and latitude */ /* lonecl = atan2(yh, xh); latecl = atan2(zh, sqrt ( xh*xh + yh*yh)); */ /* calculate the solar position */ SolarPosition = fgCalcSunPos(theSun); xg = xh + SolarPosition.xs; yg = yh + SolarPosition.ys; zg = zh; xe = xg; ye = yg * cos(ecl) - zg * sin(ecl); ze = yg * sin(ecl) + zg * cos(ecl); result.RightAscension = atan2(ye,xe); result.Declination = atan2(ze, sqrt(xe*xe + ye*ye)); /* Let's calculate the brightness of the planet */ R = sqrt ( xg*xg + yg*yg + zg*zg); s = SolarPosition.dist; FV = acos( (r*r + R*R - s*s) / (2*r*R)); FV *= 57.29578; /* convert radians to degrees */ switch(idx) { case 2: /* mercury */ result.magnitude = -0.36 + 5*log10( r*R ) + 0.027 * FV + 2.2E-13 * pow(FV, 6); break; case 3: /*venus */ result.magnitude = -4.34 + 5*log10( r*R ) + 0.013 * FV + 4.2E-07 * pow(FV,3); break; case 4: /* mars */ result.magnitude = -1.51 + 5*log10( r*R ) + 0.016 * FV; break; case 5: /* Jupiter */ result.magnitude = -9.25 + 5*log10( r*R ) + 0.014 * FV; break; case 6: /* Saturn */ ir = 0.4897394; Nr = 2.9585076 + 6.6672E-7*actTime; B = asin ( sin (result.Declination) * cos(ir) - cos(result.Declination) * sin (ir) * sin (result.RightAscension - Nr)); ring_magn = -2.6 * sin (abs(B)) + 1.2 * pow(sin(B),2); result.magnitude = -9.0 + 5*log10( r*R ) + 0.044 * FV + ring_magn; break; case 7: /* Uranus */ result.magnitude = -7.15 + 5*log10( r*R) + 0.001 * FV; break; case 8: /* Neptune */ result.magnitude = -6.90 + 5*log10 (r*R) + 0.001 *FV; break; default: printf("index %d out of range !!!!\n", idx); } printf("Geocentric dist %f\n" "Heliocentric dist %f\n" "Distance to the sun %f\n" "Phase angle %f\n" "Brightness %f\n", R, r, s, FV, result.magnitude); return result; } /* $Log$ /* Revision 1.3 1997/12/30 16:36:52 curt /* Merged in Durk's changes ... /* * Revision 1.2 1997/12/12 21:41:29 curt * More light/material property tweaking ... still a ways off. * * Revision 1.1 1997/10/25 03:16:10 curt * Initial revision of code contributed by Durk Talsma. * */