public static CAA2DCoordinate Equatorial2Topocentric(double Alpha, double Delta, double Distance, double Longitude, double Latitude, double Height, double JD)
{
double RhoSinThetaPrime = CAAGlobe.RhoSinThetaPrime(Latitude, Height);
double RhoCosThetaPrime = CAAGlobe.RhoCosThetaPrime(Latitude, Height);
//Calculate the Sidereal time
double theta = CAASidereal.ApparentGreenwichSiderealTime(JD);
//Convert to radians
Delta = CAACoordinateTransformation.DegreesToRadians(Delta);
double cosDelta = Math.Cos(Delta);
//Calculate the Parallax
double pi = Math.Asin(GlobalMembersStdafx.g_AAParallax_C1 / Distance);
double sinpi = Math.Sin(pi);
//Calculate the hour angle
double H = CAACoordinateTransformation.HoursToRadians(theta - Longitude / 15 - Alpha);
double cosH = Math.Cos(H);
double sinH = Math.Sin(H);
//Calculate the adjustment in right ascension
double DeltaAlpha = Math.Atan2(-RhoCosThetaPrime * sinpi * sinH, cosDelta - RhoCosThetaPrime * sinpi * cosH);
CAA2DCoordinate Topocentric = new CAA2DCoordinate();
Topocentric.X = CAACoordinateTransformation.MapTo0To24Range(Alpha + CAACoordinateTransformation.RadiansToHours(DeltaAlpha));
Topocentric.Y = CAACoordinateTransformation.RadiansToDegrees(Math.Atan2((Math.Sin(Delta) - RhoSinThetaPrime * sinpi) * Math.Cos(DeltaAlpha), cosDelta - RhoCosThetaPrime * sinpi * cosH));
return(Topocentric);
}
//Conversion functions
public static CAA2DCoordinate Equatorial2TopocentricDelta(double Alpha, double Delta, double Distance, double Longitude, double Latitude, double Height, double JD)
{
double RhoSinThetaPrime = CAAGlobe.RhoSinThetaPrime(Latitude, Height);
double RhoCosThetaPrime = CAAGlobe.RhoCosThetaPrime(Latitude, Height);
//Calculate the Sidereal time
double theta = CAASidereal.ApparentGreenwichSiderealTime(JD);
//Convert to radians
Delta = CAACoordinateTransformation.DegreesToRadians(Delta);
double cosDelta = Math.Cos(Delta);
//Calculate the Parallax
double pi = Math.Asin(GlobalMembersStdafx.g_AAParallax_C1 / Distance);
//Calculate the hour angle
double H = CAACoordinateTransformation.HoursToRadians(theta - Longitude / 15 - Alpha);
double cosH = Math.Cos(H);
double sinH = Math.Sin(H);
CAA2DCoordinate DeltaTopocentric = new CAA2DCoordinate();
DeltaTopocentric.X = CAACoordinateTransformation.RadiansToHours(-pi * RhoCosThetaPrime * sinH / cosDelta);
DeltaTopocentric.Y = CAACoordinateTransformation.RadiansToDegrees(-pi * (RhoSinThetaPrime * cosDelta - RhoCosThetaPrime * cosH * Math.Sin(Delta)));
return(DeltaTopocentric);
}
public static COR Equatorial2Topocentric(double Alpha, double Delta, double Distance, double Longitude, double Latitude, double Height, double JD)
{
double RhoSinThetaPrime = CAAGlobe.RhoSinThetaPrime(Latitude, Height);
double RhoCosThetaPrime = CAAGlobe.RhoCosThetaPrime(Latitude, Height);
//Calculate the Sidereal time
double theta = CAASidereal.ApparentGreenwichSiderealTime(JD);
//Convert to radians
Delta = CT.D2R(Delta);
double cosDelta = Math.Cos(Delta);
//Calculate the Parallax
double pi = Math.Asin(GFX.g_AAParallax_C1 / Distance);
double sinpi = Math.Sin(pi);
//Calculate the hour angle
double H = CT.H2R(theta - Longitude / 15 - Alpha);
double cosH = Math.Cos(H);
double sinH = Math.Sin(H);
//Calculate the adjustment in right ascension
double DeltaAlpha = Math.Atan2(-RhoCosThetaPrime * sinpi * sinH, cosDelta - RhoCosThetaPrime * sinpi * cosH);
COR Topocentric = new COR();
Topocentric.X = CT.M24(Alpha + CT.R2H(DeltaAlpha));
Topocentric.Y = CT.R2D(Math.Atan2((Math.Sin(Delta) - RhoSinThetaPrime * sinpi) * Math.Cos(DeltaAlpha), cosDelta - RhoCosThetaPrime * sinpi * cosH));
return(Topocentric);
}
//Conversion functions
public static COR Equatorial2TopocentricDelta(double Alpha, double Delta, double Distance, double Longitude, double Latitude, double Height, double JD)
{
double RhoSinThetaPrime = CAAGlobe.RhoSinThetaPrime(Latitude, Height);
double RhoCosThetaPrime = CAAGlobe.RhoCosThetaPrime(Latitude, Height);
//Calculate the Sidereal time
double theta = CAASidereal.ApparentGreenwichSiderealTime(JD);
//Convert to radians
Delta = CT.D2R(Delta);
double cosDelta = Math.Cos(Delta);
//Calculate the Parallax
double pi = Math.Asin(GFX.g_AAParallax_C1 / Distance);
//Calculate the hour angle
double H = CT.H2R(theta - Longitude / 15 - Alpha);
double cosH = Math.Cos(H);
double sinH = Math.Sin(H);
COR DeltaTopocentric = new COR();
DeltaTopocentric.X = CT.R2H(-pi * RhoCosThetaPrime * sinH / cosDelta);
DeltaTopocentric.Y = CT.R2D(-pi * (RhoSinThetaPrime * cosDelta - RhoCosThetaPrime * cosH * Math.Sin(Delta)));
return(DeltaTopocentric);
}
public static CAATopocentricEclipticDetails Ecliptic2Topocentric(double Lambda, double Beta, double Semidiameter, double Distance, double Epsilon, double Longitude, double Latitude, double Height, double JD)
{
double S = CAAGlobe.RhoSinThetaPrime(Latitude, Height);
double C = CAAGlobe.RhoCosThetaPrime(Latitude, Height);
//Convert to radians
Lambda = CAACoordinateTransformation.DegreesToRadians(Lambda);
Beta = CAACoordinateTransformation.DegreesToRadians(Beta);
Epsilon = CAACoordinateTransformation.DegreesToRadians(Epsilon);
Longitude = CAACoordinateTransformation.DegreesToRadians(Longitude);
Latitude = CAACoordinateTransformation.DegreesToRadians(Latitude);
Semidiameter = CAACoordinateTransformation.DegreesToRadians(Semidiameter);
double sine = Math.Sin(Epsilon);
double cose = Math.Cos(Epsilon);
double cosBeta = Math.Cos(Beta);
double sinBeta = Math.Sin(Beta);
//Calculate the Sidereal time
double theta = CAASidereal.ApparentGreenwichSiderealTime(JD);
theta = CAACoordinateTransformation.HoursToRadians(theta);
double sintheta = Math.Sin(theta);
//Calculate the Parallax
double pi = Math.Asin(GlobalMembersStdafx.g_AAParallax_C1 / Distance);
double sinpi = Math.Sin(pi);
double N = Math.Cos(Lambda) * cosBeta - C * sinpi * Math.Cos(theta);
CAATopocentricEclipticDetails Topocentric = new CAATopocentricEclipticDetails();
Topocentric.Lambda = Math.Atan2(Math.Sin(Lambda) * cosBeta - sinpi * (S * sine + C * cose * sintheta), N);
double cosTopocentricLambda = Math.Cos(Topocentric.Lambda);
Topocentric.Beta = Math.Atan(cosTopocentricLambda * (sinBeta - sinpi * (S * cose - C * sine * sintheta)) / N);
Topocentric.Semidiameter = Math.Asin(cosTopocentricLambda * Math.Cos(Topocentric.Beta) * Math.Sin(Semidiameter) / N);
//Convert back to degrees
Topocentric.Semidiameter = CAACoordinateTransformation.RadiansToDegrees(Topocentric.Semidiameter);
Topocentric.Lambda = CAACoordinateTransformation.MapTo0To360Range(CAACoordinateTransformation.RadiansToDegrees(Topocentric.Lambda));
Topocentric.Beta = CAACoordinateTransformation.RadiansToDegrees(Topocentric.Beta);
return(Topocentric);
}
public static CAAPhysicalMoonDetails CalculateTopocentric(double JD, double Longitude, double Latitude)
{
//First convert to radians
Longitude = CAACoordinateTransformation.DegreesToRadians(Longitude);
Latitude = CAACoordinateTransformation.DegreesToRadians(Latitude);
double Lambda = 0;
double Beta = 0;
double epsilon = 0;
CAA2DCoordinate Equatorial = new CAA2DCoordinate();
CAAPhysicalMoonDetails details = CalculateHelper(JD, ref Lambda, ref Beta, ref epsilon, ref Equatorial);
double R = CAAMoon.RadiusVector(JD);
double pi = CAAMoon.RadiusVectorToHorizontalParallax(R);
double Alpha = CAACoordinateTransformation.HoursToRadians(Equatorial.X);
double Delta = CAACoordinateTransformation.DegreesToRadians(Equatorial.Y);
double AST = CAASidereal.ApparentGreenwichSiderealTime(JD);
double H = CAACoordinateTransformation.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 = CAACoordinateTransformation.DegreesToRadians(details.P);
double DeltaL = -pidash *Math.Sin(Q - Prad) / Math.Cos(CAACoordinateTransformation.DegreesToRadians(details.b));
details.l += DeltaL;
double DeltaB = pidash * Math.Cos(Q - Prad);
details.b += DeltaB;
details.P += DeltaL * Math.Sin(CAACoordinateTransformation.DegreesToRadians(details.b)) - pidash * Math.Sin(Q) * Math.Tan(Delta);
return(details);
}
//Static methods
///////////////////////////// Implementation //////////////////////////////////
public static CAARiseTransitSetDetails Rise(double JD, double Alpha1, double Delta1, double Alpha2, double Delta2, double Alpha3, double Delta3, double Longitude, double Latitude, double h0)
{
//What will be the return value
CAARiseTransitSetDetails details = new CAARiseTransitSetDetails();
details.bValid = false;
//Calculate the sidereal time
double theta0 = CAASidereal.ApparentGreenwichSiderealTime(JD);
theta0 *= 15; //Express it as degrees
//Calculate deltat
double deltaT = DYT.DeltaT(JD);
//Convert values to radians
double Delta2Rad = CT.D2R(Delta2);
double LatitudeRad = CT.D2R(Latitude);
//Convert the standard latitude to radians
double h0Rad = CT.D2R(h0);
double cosH0 = (Math.Sin(h0Rad) - Math.Sin(LatitudeRad) * Math.Sin(Delta2Rad)) / (Math.Cos(LatitudeRad) * Math.Cos(Delta2Rad));
//Check that the object actually rises
if ((cosH0 > 1) || (cosH0 < -1))
{
return(details);
}
double H0 = Math.Acos(cosH0);
H0 = CT.R2D(H0);
double M0 = (Alpha2 * 15 + Longitude - theta0) / 360;
double M1 = M0 - H0 / 360;
double M2 = M0 + H0 / 360;
if (M0 > 1)
{
M0 -= 1;
}
else if (M0 < 0)
{
M0 += 1;
}
if (M1 > 1)
{
M1 -= 1;
}
else if (M1 < 0)
{
M1 += 1;
}
if (M2 > 1)
{
M2 -= 1;
}
else if (M2 < 0)
{
M2 += 1;
}
for (int i = 0; i < 2; i++)
{
//Calculate the details of rising
double theta1 = theta0 + 360.985647 * M1;
theta1 = CT.M360(theta1);
double n = M1 + deltaT / 86400;
double Alpha = INTP.Interpolate(n, Alpha1, Alpha2, Alpha3);
double Delta = INTP.Interpolate(n, Delta1, Delta2, Delta3);
double H = theta1 - Longitude - Alpha * 15;
COR Horizontal = CT.Eq2H(H / 15, Delta, Latitude);
double DeltaM = (Horizontal.Y - h0) / (360 * Math.Cos(CT.D2R(Delta)) * Math.Cos(LatitudeRad) * Math.Sin(CT.D2R(H)));
M1 += DeltaM;
//Calculate the details of transit
theta1 = theta0 + 360.985647 * M0;
theta1 = CT.M360(theta1);
n = M0 + deltaT / 86400;
Alpha = INTP.Interpolate(n, Alpha1, Alpha2, Alpha3);
H = theta1 - Longitude - Alpha * 15;
if (H < -180)
{
H += 360;
}
DeltaM = -H / 360;
M0 += DeltaM;
//Calculate the details of setting
theta1 = theta0 + 360.985647 * M2;
theta1 = CT.M360(theta1);
n = M2 + deltaT / 86400;
Alpha = INTP.Interpolate(n, Alpha1, Alpha2, Alpha3);
Delta = INTP.Interpolate(n, Delta1, Delta2, Delta3);
H = theta1 - Longitude - Alpha * 15;
Horizontal = CT.Eq2H(H / 15, Delta, Latitude);
DeltaM = (Horizontal.Y - h0) / (360 * Math.Cos(CT.D2R(Delta)) * Math.Cos(LatitudeRad) * Math.Sin(CT.D2R(H)));
M2 += DeltaM;
}
//Finally before we exit, convert to hours
details.bValid = true;
details.Rise = M1 * 24;
details.Set = M2 * 24;
details.Transit = M0 * 24;
return(details);
}