public void calculateCoordinatesMethodM(double julian)
{
double DG = GPMath.rads;
double RAD = 180 / GPMath.pi;
double t = (julian - 2451545.0) / 36525;
double t2 = t * t;
double t3 = t2 * t;
double t4 = t2 * t2;
// mean ecliptic longitude of the sun
double L0 = 280.4664567 + 36000.76982779 * t + 0.0003032028 * t2 + t3 / 49931000;
// mean anomaly of the sun
double M = 357.5291 + 35999.05030 * t - 0.0001559 * t2 - 0.00000048 * t3;
L0 = GPMath.putIn360(L0);
M = GPMath.putIn360(M);
sunMeanAnomaly = M;
double C = (1.9146 - 0.004817 * t - 0.000014 * t2) * GPMath.sinDeg(M)
+ (0.019993 - 0.000101 * t) * GPMath.sinDeg(2 * M)
+ 0.00029 * GPMath.sinDeg(3 * M);
sunEquationCenter = C;
// ecliptic longitude of the sun
//double els = 0;
eclipticalLongitude = GPMath.putIn360(L0 + C);
double e = 0.016708617 - 0.000042037 * t - 0.0000001236 * t2;
double trueAnomaly = M + C;
// double epsilon;
// double deltaPhi;
// GPAstroEngine.calc_epsilon_phi(julianDay, out deltaPhi, out epsilon);
// = 23.4391 - 0.013 * t - t2/6101694;
double omega = 125.04 - 1934.136 * t;
double lambda = eclipticalLongitude - 0.00569 - 0.00478 * GPMath.sinDeg(omega);
double epsilon0 = 23.4392911 - 0.01300416 * t - 1.638e-7 * t2;
double epsilon1 = epsilon0 + 0.00256 * GPMath.cosDeg(omega);
// right ascension of the sun
this.rightAscession = RAD * Math.Atan2(GPMath.cosDeg(epsilon1) * GPMath.sinDeg(lambda), GPMath.cosDeg(lambda));
this.rightAscession = GPMath.putIn360(rightAscession);
// declination of the sun
this.declination = GPMath.arcsinDeg(GPMath.sinDeg(epsilon1) * GPMath.sinDeg(lambda));
// equation of time
equationOfTime = GPAstroEngine.getEquationOfTime(julian, this.rightAscession);
}