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researchv10 Norman
#include "sky.h"
extern struct venust
{
float f[2];
char c[3];
} venust[];
venus()
{
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 venust *pp = &venust[0];
double olong;
double temp;
double temp1;
/*
* The arguments nnd coefficients are taken from
* Simon Newcomb, Tables of the Heliocentric Motion
* of Venus
* A.P.A.E. VI, part 3 (1895).
*
* Here are the mean orbital elements.
*/
object = "Venus ";
ecc = .00682069 - .00004774*capt + 0.091e-6*capt2;
incl = 3.393631 + .0010058*capt - 0.97e-6*capt2;
node = 75.779647 + .89985*capt + .00041*capt2;
argp = 130.163833 + 1.408036*capt - .0009763*capt2;
mrad = .7233316;
anom = 212.603219 + 1.6021301540*eday + .00128605*capt2;
motion = 1.6021687039;
incl *= radian;
node *= radian;
argp *= radian;
anom = fmod(anom, 360.)*radian;
motion *= radian;
/*
* Conventional mean anomalies of perturbing planets.
*/
q0 = 102.35 + 4.092338439*eday;
v0 = 212.60 + 1.602130154*eday;
t0 = 358.63 + .985608747*eday;
m0 = 319.74 + 0.524032490*eday;
j0 = 225.43 + .083090842*eday;
s0 = 175.8 + .033459258*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.
* 13*earth - 8.*venus
* 4*mars - 7.*earth + 3.*venus
* saturn
*/
anom +=
(2.761-0.022*capt)*radsec*sin((237.24+150.27*capt)*radian)
+ 0.269*radsec*sin((212.2+119.05*capt)*radian)
- 0.208*radsec*sin((175.8+1223.5*capt)*radian);
/*
* 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]*v0 + 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]*v0 + 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]*v0 + 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 = -4.00 + .01322*dlong + .0000004247*dlong*dlong*dlong;
semi = 8.41;
helio();
geo();
/*
* transit computation
*/
if(!((flags&GEO)||(flags&HELIO))){
temp1 = sin(sundec)*sin(decl2) + cos(sundec)*cos(decl2)
*cos(sunra-ra);
temp1 = atan2(sqrt(1.-temp1*temp1),temp1)/radsec;
temp1 = temp1/(semi2+sunsd);
if(temp1 <= 1.0){
printf("Transit of Venus: Dist. = %.4f\n", temp1);
}else if(temp1 < 1.1){
printf("Near Transit of Venus: Dist. = %.4f\n", temp1);
}
}
}
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