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perturb.C

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00001 
00002 #include "stdinc.h"
00003 
00004 main(int argc, char** argv)
00005 {
00006     if (argc < 3) {
00007         cerr << "usage: perturb ecc\n";
00008         exit(1);
00009     }
00010 
00011     real a = 1;
00012     real m = 1;
00013     real e = atof(argv[1]);
00014     real th = atof(argv[2]);
00015 
00016     cerr << "e = " << e << "  th = " << th << endl;
00017 
00018     real E = -0.5*m/a;
00019     real r = a*(1-e*e)/(1+e*cos(th));
00020     real rp = a*(1-e);
00021     real ra  = a*(1+e);
00022 
00023     cerr << "E = " << E << "  r = " << r << endl;
00024     cerr << "rp = " << rp << "  ra = " << ra << endl;
00025 
00026     real j0 = M_PI/2 + asin((r/a-1)/e);
00027     real y = r - rp;
00028 
00029     cerr << "j0 = " << j0 << "  y = " << y << endl;
00030 
00031     real coeff = -1.5*a*a/(e*sqrt(2*abs(E)));
00032     real term1 = e*e*j0;
00033     real term2 =  sqrt((ra-r)*(r-rp))*(2-e*e+y/(3*a));
00034 
00035     cerr << "coeff = " << coeff << "  term1 = " << term1
00036          << "  term2 = " << term2 << endl;
00037 
00038     cerr << "result = " << coeff * (term1 - term2) << endl;
00039 }

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