public static AASPhysicalMoonDetails CalculateHelper(double JD, ref double Lambda, ref double Beta, ref double epsilon, ref AAS2DCoordinate Equatorial)
{
//What will be the return value
AASPhysicalMoonDetails details = new AASPhysicalMoonDetails();
//Calculate the initial quantities
Lambda = AASMoon.EclipticLongitude(JD);
Beta = AASMoon.EclipticLatitude(JD);
//Calculate the optical libration
double omega = 0;
double DeltaU = 0;
double sigma = 0;
double I = 0;
double rho = 0;
double ldash = 0;
double bdash = 0;
double ldash2 = 0;
double bdash2 = 0;
CalculateOpticalLibration(JD, Lambda, Beta, ref ldash, ref bdash, ref ldash2, ref bdash2, ref epsilon, ref omega, ref DeltaU, ref sigma, ref I, ref rho);
details.ldash = ldash;
details.bdash = bdash;
details.ldash2 = ldash2;
details.bdash2 = bdash2;
double epsilonrad = AASCoordinateTransformation.DegreesToRadians(epsilon);
//Calculate the total libration
details.l = details.ldash + details.ldash2;
details.b = details.bdash + details.bdash2;
double b = AASCoordinateTransformation.DegreesToRadians(details.b);
//Calculate the position angle
double V = omega + DeltaU + AASCoordinateTransformation.DegreesToRadians(sigma) / Math.Sin(I);
double I_rho = I + AASCoordinateTransformation.DegreesToRadians(rho);
double X = Math.Sin(I_rho) * Math.Sin(V);
double Y = Math.Sin(I_rho) * Math.Cos(V) * Math.Cos(epsilonrad) - Math.Cos(I_rho) * Math.Sin(epsilonrad);
double w = Math.Atan2(X, Y);
Equatorial = AASCoordinateTransformation.Ecliptic2Equatorial(Lambda, Beta, epsilon);
double Alpha = AASCoordinateTransformation.HoursToRadians(Equatorial.X);
details.P = AASCoordinateTransformation.RadiansToDegrees(Math.Asin(Math.Sqrt(X * X + Y * Y) * Math.Cos(Alpha - w) / (Math.Cos(b))));
return(details);
}
public static AASPhysicalMoonDetails CalculateTopocentric(double JD, double Longitude, double Latitude)
{
//First convert to radians
Longitude = AASCoordinateTransformation.DegreesToRadians(Longitude);
Latitude = AASCoordinateTransformation.DegreesToRadians(Latitude);
double Lambda = 0;
double Beta = 0;
double epsilon = 0;
AAS2DCoordinate Equatorial = new AAS2DCoordinate();
AASPhysicalMoonDetails details = CalculateHelper(JD, ref Lambda, ref Beta, ref epsilon, ref Equatorial);
double R = AASMoon.RadiusVector(JD);
double pi = AASMoon.RadiusVectorToHorizontalParallax(R);
double Alpha = AASCoordinateTransformation.HoursToRadians(Equatorial.X);
double Delta = AASCoordinateTransformation.DegreesToRadians(Equatorial.Y);
double AST = AASSidereal.ApparentGreenwichSiderealTime(JD);
double H = AASCoordinateTransformation.HoursToRadians(AST) - Longitude - Alpha;
double Q = Math.Atan2(Math.Cos(Latitude) * Math.Sin(H), Math.Cos(Delta) * Math.Sin(Latitude) - Math.Sin(Delta) * Math.Cos(Latitude) * Math.Cos(H));
double Z = Math.Acos(Math.Sin(Delta) * Math.Sin(Latitude) + Math.Cos(Delta) * Math.Cos(Latitude) * Math.Cos(H));
double pidash = pi * (Math.Sin(Z) + 0.0084 * Math.Sin(2 * Z));
double Prad = AASCoordinateTransformation.DegreesToRadians(details.P);
double DeltaL = -pidash *Math.Sin(Q - Prad) / Math.Cos(AASCoordinateTransformation.DegreesToRadians(details.b));
details.l += DeltaL;
double DeltaB = pidash * Math.Cos(Q - Prad);
details.b += DeltaB;
double DeltaP = DeltaL * Math.Sin(AASCoordinateTransformation.DegreesToRadians(details.b)) - pidash * Math.Sin(Q) * Math.Tan(Delta);
details.P += DeltaP;
return(details);
}