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researchv10 Norman
#include "sky.h"
extern struct merctab
{
float f[2];
char c[3];
} merctab[];
merc()
{
double pturbl, pturbb, pturbr;
double lograd;
double dele, enom, vnom, nd, sl;
double q0, v0, t0, m0, j0 , s0;
double lsun, elong, ci, dlong;
double planp[7];
struct merctab *pp = &merctab[0];
double olong;
double temp;
/*
* The arguments nnd coefficients are taken from
* Simon Newcomb, Tables of the Heliocentric Motion
* of Mercury
* A.P.A.E. VI, part 2 (1895).
*
* Here are the mean orbital elements.
*/
object = "Mercury ";
ecc = .20561421 + .00002046*capt - 0.03e-6*capt2;
ecc -= .00000250; /*empirical*/
ecc -= .00000003; /*empirical*/
incl = 7.0028806 + .0018608*capt - 18.3e-6*capt2;
incl += .00025;/* empirical */
node = 47.145944 + 1.185208*capt + .0001739*capt2;
node -= 2.2/3600.; /* empirical */
argp = 75.899697 + 1.555490*capt + .0002947*capt2;
argp += 0.06/3600. + 1.89/3600.; /* empirical */
mrad = .3870986;
anom = 102.279381 + 4.0923344364*eday + 6.7e-6*capt2;
anom += 2.07/3600. - 1.89/3600.; /* empirical */
motion = 4.0923770233;
incl *= radian;
node *= radian;
argp *= radian;
anom = fmod(anom, 360.)*radian;
motion *= radian;
/*
* Conventional mean anomalies of perturbing planets.
*/
q0 = 102.28 + 4.092334429*eday;
v0 = 212.536 + 1.602126105*eday;
t0 = -1.45 + .985604737*eday;
m0 = 319.66 + .524028480*eday;
j0 = 225.36 + .083086735*eday;
s0 = 175.68 + .033455441*eday;
q0 *= radian;
v0 *= radian;
t0 *= radian;
m0 *= radian;
j0 *= radian;
s0 *= radian;
planp[1] = q0;
planp[2] = v0;
planp[3] = t0;
planp[4] = m0;
planp[5] = j0;
planp[6] = s0;
/*
* Computation of long period terms affecting the mean anomaly.
*/
anom = anom;
/*
* Computation of elliptic orbit.
*/
enom = anom + ecc*sin(anom);
do {
dele = (anom - enom + ecc * sin(enom)) /
(1. - ecc*cos(enom));
enom += dele;
} while(fabs(dele) > 1.e-8);
vnom = 2.*atan2(sqrt((1.+ecc)/(1.-ecc))*sin(enom/2.),
cos(enom/2.));
rad = mrad*(1. - ecc*cos(enom));
/*
* Perturbations in longitude.
*/
pturbl = 0.;
for(;;){
if(pp->f[0]==0.){
pp++;
break;
}
pturbl += pp->f[0]*cos(pp->f[1] + pp->c[0]*q0 + pp->c[1]*planp[pp->c[2]]);
pp++;
}
/*
* Perturbations in latitude.
*/
pturbb = 0.;
for(;;){
if(pp->f[0]==0.){
pp++;
break;
}
pturbb += pp->f[0]*cos(pp->f[1] + pp->c[0]*q0 + pp->c[1]*planp[pp->c[2]]);
pp++;
}
/*
* Perturbations in log radius vector.
*/
pturbr = 0.;
for(;;){
if(pp->f[0]==0.){
pp++;
break;
}
pturbr += pp->f[0]*cos(pp->f[1] + pp->c[0]*q0 + pp->c[1]*planp[pp->c[2]]);
pp++;
}
pturbr *= 1.e-6;
/*
* reduce to the ecliptic
*/
olong = vnom + argp + pturbl*radsec;
nd = olong - node;
lambda = node + atan2(sin(nd)*cos(incl), cos(nd));
sl = sin(incl)*sin(nd);
beta = atan2(sl, sqrt(1.-sl*sl)) + pturbb*radsec;
lograd = pturbr*2.30258509;
rad *= 1. + lograd;
/*
* Compute motion for planetary aberration.
*/
temp = motion*mrad*mrad*sqrt(1.-ecc*ecc)/(rad*rad);
ldot = temp*sin(2.*(lambda-node))/sin(2.*(olong-node));
bdot = temp*sin(incl)*cos(lambda-node);
rdot = motion*mrad*ecc*sin(olong-argp)/sqrt(1.-ecc*ecc);
/*
* Compute magnitude.
*/
lsun = 99.696678 + 0.9856473354*eday;
lsun *= radian;
elong = lambda - lsun;
ci = (rad - cos(elong))/sqrt(1. + rad*rad - 2.*rad*cos(elong));
dlong = atan2(sqrt(1.-ci*ci), ci)/radian;
mag = -.003 + .01815*dlong + .0001023*dlong*dlong;
semi = 3.34;
helio();
geo();
}
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