xref: /plan9/sys/src/cmd/astro/merc.c (revision 7dd7cddf99dd7472612f1413b4da293630e6b1bc)
1 #include "astro.h"
2 
3 void
merc(void)4 merc(void)
5 {
6 	double pturbl, pturbr;
7 	double lograd;
8 	double dele, enom, vnom, nd, sl;
9 	double q0, v0, t0, j0 , s0;
10 	double lsun, elong, ci, dlong;
11 
12 	ecc = .20561421 + .00002046*capt - 0.03e-6*capt2;
13 	incl = 7.0028806 + .0018608*capt - 18.3e-6*capt2;
14 	node = 47.145944 + 1.185208*capt + .0001739*capt2;
15 	argp = 75.899697 + 1.555490*capt + .0002947*capt2;
16 	mrad = .3870986;
17 	anom = 102.279381 + 4.0923344364*eday + 6.7e-6*capt2;
18 	motion = 4.0923770233;
19 
20 	q0 = 102.28  + 4.092334429*eday;
21 	v0 = 212.536 + 1.602126105*eday;
22 	t0 = -1.45  + .985604737*eday;
23 	j0 = 225.36 + .083086735*eday;
24 	s0 = 175.68 + .033455441*eday;
25 
26 	q0 *= radian;
27 	v0 *= radian;
28 	t0 *= radian;
29 	j0 *= radian;
30 	s0 *= radian;
31 
32 	incl *= radian;
33 	node *= radian;
34 	argp *= radian;
35 	anom = fmod(anom, 360.)*radian;
36 
37 
38 	enom = anom + ecc*sin(anom);
39 	do {
40 		dele = (anom - enom + ecc * sin(enom)) /
41 			(1. - ecc*cos(enom));
42 		enom += dele;
43 	} while(fabs(dele) > converge);
44 	vnom = 2.*atan2(sqrt((1.+ecc)/(1.-ecc))*sin(enom/2.),
45 			cos(enom/2.));
46 	rad = mrad*(1. - ecc*cos(enom));
47 
48 	icosadd(mercfp, merccp);
49 	pturbl =  cosadd(2, q0, -v0);
50 	pturbl += cosadd(2, q0, -t0);
51 	pturbl += cosadd(2, q0, -j0);
52 	pturbl += cosadd(2, q0, -s0);
53 
54 	pturbr =  cosadd(2, q0, -v0);
55 	pturbr += cosadd(2, q0, -t0);
56 	pturbr += cosadd(2, q0, -j0);
57 
58 /*
59  *	reduce to the ecliptic
60  */
61 
62 	lambda = vnom + argp + pturbl*radsec;
63 	nd = lambda - node;
64 	lambda = node + atan2(sin(nd)*cos(incl), cos(nd));
65 
66 	sl = sin(incl)*sin(nd);
67 	beta = atan2(sl, pyth(sl));
68 
69 	lograd = pturbr*2.30258509;
70 	rad *= 1. + lograd;
71 
72 	motion *= radian*mrad*mrad/(rad*rad);
73 	semi = 3.34;
74 
75 	lsun = 99.696678 + 0.9856473354*eday;
76 	lsun *= radian;
77 	elong = lambda - lsun;
78 	ci = (rad - cos(elong))/sqrt(1. + rad*rad - 2.*rad*cos(elong));
79 	dlong = atan2(pyth(ci), ci)/radian;
80 	mag = -.003 + .01815*dlong + .0001023*dlong*dlong;
81 
82 	helio();
83 	geo();
84 }
85