public override Vector2 <decimal> EquatorialCoordinates(DateTime date)
{
var pos = EclipticEarth3D(date);
var X = pos.X; var Y = pos.Y; var Z = pos.Z;
var R = DecimalMath.Sqrt(X * X + Y * Y + Z * Z);
var lambda = DecimalMath.Atan2(Y, X);
var sinLambda = DecimalMath.Sin(lambda);
var cosLambda = DecimalMath.Cos(lambda);
var beta = DecimalMath.Asin(Z / R);
var tanBeta = DecimalMath.Tan(beta);
var sinBeta = DecimalMath.Sin(beta);
var cosBeta = DecimalMath.Cos(beta);
var tilt = CommonCalculations.GetAxialTilt(date) * DecimalMath.DegToRad;
var cosTilt = DecimalMath.Cos(tilt);
var sinTilt = DecimalMath.Sin(tilt);
var RA = DecimalMath.Atan2(sinLambda * cosTilt - tanBeta * sinTilt, cosLambda) * DecimalMath.RadToDeg;
var Dec = DecimalMath.Asin(sinBeta * cosTilt + cosBeta * sinTilt * sinLambda) * DecimalMath.RadToDeg;
RA = CommonCalculations.From0To360(RA);
#if DEBUG
Console.WriteLine($"R = {R} lambda = {lambda}, beta = {beta}, tilt = {tilt}, RA = {RA}, dec = {Dec}");
#endif
return(new Vector2 <decimal>(RA, Dec));
}
public Vector2 <decimal> EquatorialCoordinates(DateTime date)
{
var DegToRad = DecimalMath.DegToRad;
var d = JulianDateCalculator.ToJulianDaysJ2000(date);
var L = FL(d); var Lrad = L * DegToRad;
var M = FMMoon(d); var Mrad = M * DegToRad;
var F = FF(d); var Frad = F * DegToRad;
var lambda = (L + 6.289M * DecimalMath.Sin(Mrad)) * DegToRad;
var beta = (5.128m * DecimalMath.Sin(Frad)) * DegToRad;
var tilt = CommonCalculations.GetAxialTilt(date) * DegToRad;
var sinLambda = DecimalMath.Sin(lambda);
var cosLambda = DecimalMath.Cos(lambda);
var sinBeta = DecimalMath.Sin(beta);
var cosBeta = DecimalMath.Cos(beta);
var tanBeta = DecimalMath.Tan(beta);
var sinTilt = DecimalMath.Sin(tilt);
var cosTilt = DecimalMath.Cos(tilt);
var RA = DecimalMath.Atan2(sinLambda * cosTilt - tanBeta * sinTilt, cosLambda) * DecimalMath.RadToDeg;
var Dec = DecimalMath.Asin(sinBeta * cosTilt + cosBeta * sinTilt * sinLambda) * DecimalMath.RadToDeg;
return(new Vector2 <decimal>(CommonCalculations.From0To360(RA), Dec));
}
public override Vector2 <decimal> EquatorialCoordinates(DateTime date)
{
var pos = EclipticEarth3D(date);
#if DEBUG
Console.WriteLine($"Sun ecliptic position: X={pos.X} Y={pos.Y} Z={pos.Z}");
#endif
var tiltRad = CommonCalculations.GetAxialTilt(date) * DecimalMath.DegToRad;
var Xe = pos.X;
var Ye = pos.Y * DecimalMath.Cos(tiltRad);
var Ze = pos.Y * DecimalMath.Sin(tiltRad);
#if DEBUG
Console.WriteLine($"Sun equatorial position: X={Xe} Y={Ye} Z={Ze} with tilt {tiltRad}");
#endif
var RA = DecimalMath.Atan2(Ye, Xe) * DecimalMath.RadToDeg;
var Dec = DecimalMath.Atan2(Ze, DecimalMath.Sqrt(Xe * Xe + Ye * Ye)) * DecimalMath.RadToDeg;
#if DEBUG
Console.WriteLine($"Sun RA = {RA} Dec={Dec}");
#endif
return(new Vector2 <decimal>(CommonCalculations.From0To360(RA), Dec));
}
public override Vector2 <decimal> EclipticCoordinates(DateTime date)
{
var pos = EclipticEarth3D(date);
var lon = DecimalMath.Atan2(pos.Y, pos.X) * DecimalMath.RadToDeg;
var lat = DecimalMath.Asin(pos.Z / DecimalMath.Sqrt(pos.X * pos.X + pos.Y * pos.Y + pos.Z * pos.Z)) * DecimalMath.RadToDeg;
return(new Vector2 <decimal>(CommonCalculations.From0To360(lon), lat));
}
public override Vector2 <decimal> ApparentEclipticEarth(DateTime date)
{
var pos = ApparentEclipticEarth3D(date);
var lon = DecimalMath.Atan2(pos.Y, pos.X) * DecimalMath.RadToDeg;
var lat = DecimalMath.Asin(pos.Z / DecimalMath.Sqrt(pos.X * pos.X + pos.Y * pos.Y + pos.Z * pos.Z)) * DecimalMath.RadToDeg;
lon = CommonCalculations.From0To360(lon);
lat = CommonCalculations.From0To360(lat);
return(new Vector2 <decimal>(lon, lat));
}
public Vector2 <decimal> EclipticCoordinates(DateTime date)
{
var DegToRad = DecimalMath.DegToRad;
var T = JulianDateCalculator.ToJulianCenturiesJ2000(date);
var L = CommonCalculations.From0To360(FL(T));
var M = CommonCalculations.From0To360(FMMoon(T)); var Mrad = M * DegToRad;
var F = CommonCalculations.From0To360(FF(T)); var Frad = F * DegToRad;
var lambda = CommonCalculations.From0To360(L + 1e-6M * CalculateSumLongitude(date));
var beta = (5.128m * DecimalMath.Sin(Frad));
#if DEBUG
Console.WriteLine($"Julian centuries passed: {T}, L = {L}, M = {M}, F = {F}");
Console.WriteLine($"Lambda: {lambda}, Beta : {beta}");
#endif
return(new Vector2 <decimal>(lambda, beta));
}
public Vector2 <decimal> EquatorialCoordinates(DateTime date)
{
var tilt = CommonCalculations.GetAxialTilt(date) * DecimalMath.DegToRad;
var sintilt = DecimalMath.Sin(tilt);
var costilt = DecimalMath.Cos(tilt);
var pos = EclipticEarthXYZ(date);
var xe = pos.X;
var ye = pos.Y * costilt - pos.Z * sintilt;
var ze = pos.Y * sintilt - pos.Z * costilt;
#if DEBUG
Console.WriteLine($"Pluto equatorial X= {xe}, Y = {ye}, Z = {ze}");
#endif
var RA = DecimalMath.Atan2(ye, xe) * DecimalMath.RadToDeg;
var Dec = DecimalMath.Atan2(ze, DecimalMath.Sqrt(xe * xe, ye * ye)) * DecimalMath.RadToDeg;
#if DEBUG
Console.WriteLine($"Pluto Ra= {RA}, DEC = {Dec}");
#endif
return(new Vector2 <decimal>(CommonCalculations.From0To360(RA), Dec));
}
public Vector2 <decimal> EclipticCoordinates(DateTime date)
{
var d = JulianDateCalculator.ToJulianDaysJ2000(date);
return(new Vector2 <decimal>(CommonCalculations.From0To360(n0 + n1 * d), 0));
}