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 static decimal GetAscendant(double longi, double lat, DateTime dateTime, bool isVedic = true) { var Pi = DecimalMath.Pi; var DegToRad = Pi / 180; var longitude = Convert.ToDecimal(-longi); // East should be positive, West negative var latitudeRad = Convert.ToDecimal(lat) * DegToRad; var tilt = CommonCalculations.GetAxialTilt(dateTime); var tiltRad = tilt * DegToRad; #if DEBUG Console.WriteLine($"tilt: {tilt}"); #endif var siderealTime = SiderealTime.Calculate(longitude, dateTime); var siderealTimeRad = siderealTime * DegToRad; #if DEBUG Console.WriteLine($"sidereal Time: {siderealTime}"); #endif var y = -DecimalMath.Cos(siderealTimeRad); #if DEBUG Console.WriteLine($"y :{y}"); Console.WriteLine( $"sin(RAMC) = {DecimalMath.Sin(siderealTimeRad)}" + $"\ncos(TILT) = {DecimalMath.Cos(tiltRad)}" + $"\ntan(LAT) = {DecimalMath.Tan(latitudeRad)}" + $"\nsin(TILT) = {DecimalMath.Sin(tiltRad)}"); #endif var x = DecimalMath.Sin(siderealTimeRad) * DecimalMath.Cos(tiltRad) + DecimalMath.Tan(latitudeRad) * DecimalMath.Sin(tiltRad); #if DEBUG Console.WriteLine($"x :{x}"); Console.WriteLine($"Decimal y/x: {y / x}"); Console.WriteLine($"Atan(y/x): {DecimalMath.ATan(y / x)}"); #endif var output = DecimalMath.ATan(y / x) * 180 / Pi; if (output < 0) { output += 180; } if (siderealTimeRad > Pi / 2 && siderealTimeRad < 3 * Pi / 2) { output += 180; output %= 360; } #if DEBUG Console.WriteLine($"output before applying sidereal diff{output}"); #endif return(output); }
public Vector2 <decimal> EquatorialCoordinates(DateTime date) { var tilt = CommonCalculations.GetAxialTilt(date) * DecimalMath.DegToRad; var sintilt = DecimalMath.Sin(tilt); var costilt = DecimalMath.Cos(tilt); var pos = EclipticEarthXYZ(date); var xe = pos.X; var ye = pos.Y * costilt - pos.Z * sintilt; var ze = pos.Y * sintilt - pos.Z * costilt; #if DEBUG Console.WriteLine($"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)); }