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 CAA2DCoordinate EquatorialAberration(double Alpha, double Delta, double JD)
{
//Convert to radians
Alpha = CAACoordinateTransformation.DegreesToRadians(Alpha * 15);
Delta = CAACoordinateTransformation.DegreesToRadians(Delta);
double cosAlpha = Math.Cos(Alpha);
double sinAlpha = Math.Sin(Alpha);
double cosDelta = Math.Cos(Delta);
double sinDelta = Math.Sin(Delta);
CAA3DCoordinate velocity = EarthVelocity(JD);
//What is the return value
CAA2DCoordinate aberration = new CAA2DCoordinate();
aberration.X = CAACoordinateTransformation.RadiansToHours((velocity.Y * cosAlpha - velocity.X * sinAlpha) / (17314463350.0 * cosDelta));
aberration.Y = CAACoordinateTransformation.RadiansToDegrees(-(((velocity.X * cosAlpha + velocity.Y * sinAlpha) * sinDelta - velocity.Z * cosDelta) / 17314463350.0));
return(aberration);
}
public static CAA2DCoordinate PrecessEquatorialFK4(double Alpha, double Delta, double JD0, double JD)
{
double T = (JD0 - 2415020.3135) / 36524.2199;
double t = (JD - JD0) / 36524.2199;
double tsquared = t * t;
double tcubed = tsquared * t;
//Now convert to radians
Alpha = CAACoordinateTransformation.HoursToRadians(Alpha);
Delta = CAACoordinateTransformation.DegreesToRadians(Delta);
double sigma = (2304.250 + 1.396 * T) * t + 0.302 * tsquared + 0.018 * tcubed;
sigma = CAACoordinateTransformation.DegreesToRadians(CAACoordinateTransformation.DMSToDegrees(0, 0, sigma));
double zeta = 0.791 * tsquared + 0.001 * tcubed;
zeta = CAACoordinateTransformation.DegreesToRadians(CAACoordinateTransformation.DMSToDegrees(0, 0, zeta));
zeta += sigma;
double phi = (2004.682 - 0.853 * T) * t - 0.426 * tsquared - 0.042 * tcubed;
phi = CAACoordinateTransformation.DegreesToRadians(CAACoordinateTransformation.DMSToDegrees(0, 0, phi));
double A = Math.Cos(Delta) * Math.Sin(Alpha + sigma);
double B = Math.Cos(phi) * Math.Cos(Delta) * Math.Cos(Alpha + sigma) - Math.Sin(phi) * Math.Sin(Delta);
double C = Math.Sin(phi) * Math.Cos(Delta) * Math.Cos(Alpha + sigma) + Math.Cos(phi) * Math.Sin(Delta);
CAA2DCoordinate @value = new CAA2DCoordinate();
@value.X = CAACoordinateTransformation.RadiansToHours(Math.Atan2(A, B) + zeta);
if (@value.X < 0)
{
@value.X += 24;
}
@value.Y = CAACoordinateTransformation.RadiansToDegrees(Math.Asin(C));
return(@value);
}
//Static methods
public static CAA2DCoordinate PrecessEquatorial(double Alpha, double Delta, double JD0, double JD)
{
double T = (JD0 - 2451545.0) / 36525;
double Tsquared = T * T;
double t = (JD - JD0) / 36525;
double tsquared = t * t;
double tcubed = tsquared * t;
//Now convert to radians
Alpha = CAACoordinateTransformation.HoursToRadians(Alpha);
Delta = CAACoordinateTransformation.DegreesToRadians(Delta);
double sigma = (2306.2181 + 1.39656 * T - 0.000139 * Tsquared) * t + (0.30188 - 0.0000344 * T) * tsquared + 0.017988 * tcubed;
sigma = CAACoordinateTransformation.DegreesToRadians(CAACoordinateTransformation.DMSToDegrees(0, 0, sigma));
double zeta = (2306.2181 + 1.39656 * T - 0.000138 * Tsquared) * t + (1.09468 + 0.000066 * T) * tsquared + 0.018203 * tcubed;
zeta = CAACoordinateTransformation.DegreesToRadians(CAACoordinateTransformation.DMSToDegrees(0, 0, zeta));
double phi = (2004.3109 - 0.8533 * T - 0.000217 * Tsquared) * t - (0.42665 + 0.000217 * T) * tsquared - 0.041833 * tcubed;
phi = CAACoordinateTransformation.DegreesToRadians(CAACoordinateTransformation.DMSToDegrees(0, 0, phi));
double A = Math.Cos(Delta) * Math.Sin(Alpha + sigma);
double B = Math.Cos(phi) * Math.Cos(Delta) * Math.Cos(Alpha + sigma) - Math.Sin(phi) * Math.Sin(Delta);
double C = Math.Sin(phi) * Math.Cos(Delta) * Math.Cos(Alpha + sigma) + Math.Cos(phi) * Math.Sin(Delta);
CAA2DCoordinate @value = new CAA2DCoordinate();
@value.X = CAACoordinateTransformation.RadiansToHours(Math.Atan2(A, B) + zeta);
if (@value.X < 0)
{
@value.X += 24;
}
@value.Y = CAACoordinateTransformation.RadiansToDegrees(Math.Asin(C));
return(@value);
}
public static CAA2DCoordinate AdjustPositionUsingMotionInSpace(double r, double DeltaR, double t, double Alpha, double Delta, double PMAlpha, double PMDelta)
{
//Convert DeltaR from km/s to Parsecs / Year
DeltaR /= 977792;
//Convert from seconds of time to Radians / Year
PMAlpha /= 13751;
//Convert from seconds of arc to Radians / Year
PMDelta /= 206265;
//Now convert to radians
Alpha = CAACoordinateTransformation.HoursToRadians(Alpha);
Delta = CAACoordinateTransformation.DegreesToRadians(Delta);
double x = r * Math.Cos(Delta) * Math.Cos(Alpha);
double y = r * Math.Cos(Delta) * Math.Sin(Alpha);
double z = r * Math.Sin(Delta);
double DeltaX = x / r * DeltaR - z * PMDelta * Math.Cos(Alpha) - y * PMAlpha;
double DeltaY = y / r * DeltaR - z * PMDelta * Math.Sin(Alpha) + x * PMAlpha;
double DeltaZ = z / r * DeltaR + r * PMDelta * Math.Cos(Delta);
x += t * DeltaX;
y += t * DeltaY;
z += t * DeltaZ;
CAA2DCoordinate @value = new CAA2DCoordinate();
@value.X = CAACoordinateTransformation.RadiansToHours(Math.Atan2(y, x));
if (@value.X < 0)
{
@value.X += 24;
}
@value.Y = CAACoordinateTransformation.RadiansToDegrees(Math.Atan2(z, Math.Sqrt(x * x + y * y)));
return(@value);
}
//Static methods
//////////////////////////////// Implementation ///////////////////////////////
public static CAAPhysicalMarsDetails Calculate(double JD)
{
//What will be the return value
CAAPhysicalMarsDetails details = new CAAPhysicalMarsDetails();
//Step 1
double T = (JD - 2451545) / 36525;
double Lambda0 = 352.9065 + 1.17330 * T;
double Lambda0rad = CAACoordinateTransformation.DegreesToRadians(Lambda0);
double Beta0 = 63.2818 - 0.00394 * T;
double Beta0rad = CAACoordinateTransformation.DegreesToRadians(Beta0);
//Step 2
double l0 = CAAEarth.EclipticLongitude(JD);
double l0rad = CAACoordinateTransformation.DegreesToRadians(l0);
double b0 = CAAEarth.EclipticLatitude(JD);
double b0rad = CAACoordinateTransformation.DegreesToRadians(b0);
double R = CAAEarth.RadiusVector(JD);
double PreviousLightTravelTime = 0;
double LightTravelTime = 0;
double x = 0;
double y = 0;
double z = 0;
bool bIterate = true;
double DELTA = 0;
double l = 0;
double lrad = 0;
double b = 0;
double brad = 0;
double r = 0;
while (bIterate)
{
double JD2 = JD - LightTravelTime;
//Step 3
l = CAAMars.EclipticLongitude(JD2);
lrad = CAACoordinateTransformation.DegreesToRadians(l);
b = CAAMars.EclipticLatitude(JD2);
brad = CAACoordinateTransformation.DegreesToRadians(b);
r = CAAMars.RadiusVector(JD2);
//Step 4
x = r * Math.Cos(brad) * Math.Cos(lrad) - R * Math.Cos(l0rad);
y = r * Math.Cos(brad) * Math.Sin(lrad) - R * Math.Sin(l0rad);
z = r * Math.Sin(brad) - R * Math.Sin(b0rad);
DELTA = Math.Sqrt(x * x + y * y + z * z);
LightTravelTime = CAAElliptical.DistanceToLightTime(DELTA);
//Prepare for the next loop around
bIterate = (Math.Abs(LightTravelTime - PreviousLightTravelTime) > 2E-6); //2E-6 correponds to 0.17 of a second
if (bIterate)
{
PreviousLightTravelTime = LightTravelTime;
}
}
//Step 5
double lambdarad = Math.Atan2(y, x);
double lambda = CAACoordinateTransformation.RadiansToDegrees(lambdarad);
double betarad = Math.Atan2(z, Math.Sqrt(x * x + y * y));
double beta = CAACoordinateTransformation.RadiansToDegrees(betarad);
//Step 6
details.DE = CAACoordinateTransformation.RadiansToDegrees(Math.Asin(-Math.Sin(Beta0rad) * Math.Sin(betarad) - Math.Cos(Beta0rad) * Math.Cos(betarad) * Math.Cos(Lambda0rad - lambdarad)));
//Step 7
double N = 49.5581 + 0.7721 * T;
double Nrad = CAACoordinateTransformation.DegreesToRadians(N);
double ldash = l - 0.00697 / r;
double ldashrad = CAACoordinateTransformation.DegreesToRadians(ldash);
double bdash = b - 0.000225 * (Math.Cos(lrad - Nrad) / r);
double bdashrad = CAACoordinateTransformation.DegreesToRadians(bdash);
//Step 8
details.DS = CAACoordinateTransformation.RadiansToDegrees(Math.Asin(-Math.Sin(Beta0rad) * Math.Sin(bdashrad) - Math.Cos(Beta0rad) * Math.Cos(bdashrad) * Math.Cos(Lambda0rad - ldashrad)));
//Step 9
double W = CAACoordinateTransformation.MapTo0To360Range(11.504 + 350.89200025 * (JD - LightTravelTime - 2433282.5));
//Step 10
double e0 = CAANutation.MeanObliquityOfEcliptic(JD);
double e0rad = CAACoordinateTransformation.DegreesToRadians(e0);
CAA2DCoordinate PoleEquatorial = CAACoordinateTransformation.Ecliptic2Equatorial(Lambda0, Beta0, e0);
double alpha0rad = CAACoordinateTransformation.HoursToRadians(PoleEquatorial.X);
double delta0rad = CAACoordinateTransformation.DegreesToRadians(PoleEquatorial.Y);
//Step 11
double u = y * Math.Cos(e0rad) - z * Math.Sin(e0rad);
double v = y * Math.Sin(e0rad) + z * Math.Cos(e0rad);
double alpharad = Math.Atan2(u, x);
double alpha = CAACoordinateTransformation.RadiansToHours(alpharad);
double deltarad = Math.Atan2(v, Math.Sqrt(x * x + u * u));
double delta = CAACoordinateTransformation.RadiansToDegrees(deltarad);
double xi = Math.Atan2(Math.Sin(delta0rad) * Math.Cos(deltarad) * Math.Cos(alpha0rad - alpharad) - Math.Sin(deltarad) * Math.Cos(delta0rad), Math.Cos(deltarad) * Math.Sin(alpha0rad - alpharad));
//Step 12
details.w = CAACoordinateTransformation.MapTo0To360Range(W - CAACoordinateTransformation.RadiansToDegrees(xi));
//Step 13
double NutationInLongitude = CAANutation.NutationInLongitude(JD);
double NutationInObliquity = CAANutation.NutationInObliquity(JD);
//Step 14
lambda += 0.005693 * Math.Cos(l0rad - lambdarad) / Math.Cos(betarad);
beta += 0.005693 * Math.Sin(l0rad - lambdarad) * Math.Sin(betarad);
//Step 15
Lambda0 += NutationInLongitude / 3600;
Lambda0rad = CAACoordinateTransformation.DegreesToRadians(Lambda0);
lambda += NutationInLongitude / 3600;
lambdarad = CAACoordinateTransformation.DegreesToRadians(lambda);
e0 += NutationInObliquity / 3600;
e0rad = CAACoordinateTransformation.DegreesToRadians(e0rad);
//Step 16
CAA2DCoordinate ApparentPoleEquatorial = CAACoordinateTransformation.Ecliptic2Equatorial(Lambda0, Beta0, e0);
double alpha0dash = CAACoordinateTransformation.HoursToRadians(ApparentPoleEquatorial.X);
double delta0dash = CAACoordinateTransformation.DegreesToRadians(ApparentPoleEquatorial.Y);
CAA2DCoordinate ApparentMars = CAACoordinateTransformation.Ecliptic2Equatorial(lambda, beta, e0);
double alphadash = CAACoordinateTransformation.HoursToRadians(ApparentMars.X);
double deltadash = CAACoordinateTransformation.DegreesToRadians(ApparentMars.Y);
//Step 17
details.P = CAACoordinateTransformation.MapTo0To360Range(CAACoordinateTransformation.RadiansToDegrees(Math.Atan2(Math.Cos(delta0dash) * Math.Sin(alpha0dash - alphadash), Math.Sin(delta0dash) * Math.Cos(deltadash) - Math.Cos(delta0dash) * Math.Sin(deltadash) * Math.Cos(alpha0dash - alphadash))));
//Step 18
double SunLambda = CAASun.GeometricEclipticLongitude(JD);
double SunBeta = CAASun.GeometricEclipticLatitude(JD);
CAA2DCoordinate SunEquatorial = CAACoordinateTransformation.Ecliptic2Equatorial(SunLambda, SunBeta, e0);
details.X = CAAMoonIlluminatedFraction.PositionAngle(SunEquatorial.X, SunEquatorial.Y, alpha, delta);
//Step 19
details.d = 9.36 / DELTA;
details.k = CAAIlluminatedFraction.IlluminatedFraction(r, R, DELTA);
details.q = (1 - details.k) * details.d;
return(details);
}