#include "SolarPosition.h" #include "Globals.h" #include Eci SolarPosition::FindPosition(const Julian& j) { const double mjd = j.FromJan1_12h_1900(); const double year = 1900 + mjd / 365.25; const double T = (mjd + Delta_ET(year) / kSECONDS_PER_DAY) / 36525.0; const double M = DegreesToRadians(Modulus(358.47583 + Modulus(35999.04975 * T, 360.0) - (0.000150 + 0.0000033 * T) * T * T, 360.0)); const double L = DegreesToRadians(Modulus(279.69668 + Modulus(36000.76892 * T, 360.0) + 0.0003025 * T*T, 360.0)); const double e = 0.01675104 - (0.0000418 + 0.000000126 * T) * T; const double C = DegreesToRadians((1.919460 - (0.004789 + 0.000014 * T) * T) * sin(M) + (0.020094 - 0.000100 * T) * sin(2 * M) + 0.000293 * sin(3 * M)); const double O = DegreesToRadians(Modulus(259.18 - 1934.142 * T, 360.0)); const double Lsa = Modulus(L + C - DegreesToRadians(0.00569 - 0.00479 * sin(O)), kTWOPI); const double nu = Modulus(M + C, kTWOPI); double R = 1.0000002 * (1 - e * e) / (1 + e * cos(nu)); const double eps = DegreesToRadians(23.452294 - (0.0130125 + (0.00000164 - 0.000000503 * T) * T) * T + 0.00256 * cos(O)); R = R * kAU; Vector solar_position = Vector(R * cos(Lsa), R * sin(Lsa) * cos(eps), R * sin(Lsa) * sin(eps), R); return Eci(j, solar_position); } double SolarPosition::Modulus(double arg1, double arg2) const { double result = arg1 - arg2 * floor(arg1 / arg2); if (result < 0.0) { result += arg2; } return result; } double SolarPosition::Delta_ET(double year) const { return 26.465 + 0.747622 * (year - 1950) + 1.886913 * sin(kTWOPI * (year - 1975) / 33); }