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flightgear/Astro/planets.c

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/**************************************************************************
* 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 <Astro/orbits.h>
#include <Astro/planets.h>
#include <Astro/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(" Planet found at %f (ra), %f (dec)\n",
result.RightAscension, result.Declination);
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 1.2 1998/01/19 19:26:59 curt
/* Merged in make system changes from Bob Kuehne <rpk@sgi.com>
/* This should simplify things tremendously.
/*
* Revision 1.1 1998/01/07 03:16:18 curt
* Moved from .../Src/Scenery/ to .../Src/Astro/
*
* Revision 1.4 1997/12/30 20:47:52 curt
* Integrated new event manager with subsystem initializations.
*
* 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.
*
*/