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#include <math.h> #include "astro.h" /* convert those orbital elements that change from epoch mjd0 to epoch mjd. */ reduce_elements (mjd0, mjd, inc0, ap0, om0, inc, ap, om) double mjd0; /* initial epoch */ double mjd; /* desired epoch */ double inc0; /* initial inclination, rads */ double ap0; /* initial argument of perihelion, as an mjd */ double om0; /* initial long of ascending node, rads */ double *inc; /* desired inclination, rads */ double *ap; /* desired epoch of perihelion, as an mjd */ double *om; /* desired long of ascending node, rads */ { double t0, t1; double tt, tt2, t02, tt3; double eta, th, th0; double a, b; double dap; double cinc, sinc; double ot, sot, cot, ot1; double seta, ceta; t0 = mjd0/365250.0; t1 = mjd/365250.0; tt = t1-t0; tt2 = tt*tt; t02 = t0*t0; tt3 = tt*tt2; eta = (471.07-6.75*t0+.57*t02)*tt+(.57*t0-3.37)*tt2+.05*tt3; th0 = 32869.0*t0+56*t02-(8694+55*t0)*tt+3*tt2; eta = degrad(eta/3600.0); th0 = degrad((th0/3600.0)+173.950833); th = (50256.41+222.29*t0+.26*t02)*tt+(111.15+.26*t0)*tt2+.1*tt3; th = th0+degrad(th/3600.0); cinc = cos(inc0); sinc = sin(inc0); ot = om0-th0; sot = sin(ot); cot = cos(ot); seta = sin(eta); ceta = cos(eta); a = sinc*sot; b = ceta*sinc*cot-seta*cinc; ot1 = atan(a/b); if (b<0) ot1 += PI; b = sinc*ceta-cinc*seta*cot; a = -1*seta*sot; dap = atan(a/b); if (b<0) dap += PI; *ap = ap0+dap; range (ap, 2*PI); *om = ot1+th; range (om, 2*PI); if (inc0<.175) *inc = asin(a/sin(dap)); else *inc = 1.570796327-asin((cinc*ceta)+(sinc*seta*cot)); }
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