public static CAALunarEclipseDetails CalculateLunar(double k)
{
#if _DEBUG
double intp = 0;
bool bSolarEclipse = (GlobalMembersStdafx.modf(k, ref intp) == 0);
Debug.Assert(!bSolarEclipse);
#endif
double Mdash = 0;
CAASolarEclipseDetails solarDetails = Calculate(k, ref Mdash);
//What will be the return value
CAALunarEclipseDetails details = new CAALunarEclipseDetails();
details.bEclipse = solarDetails.bEclipse;
details.F = solarDetails.F;
details.gamma = solarDetails.gamma;
details.TimeOfMaximumEclipse = solarDetails.TimeOfMaximumEclipse;
details.u = solarDetails.u;
if (details.bEclipse)
{
details.PenumbralRadii = 1.2848 + details.u;
details.UmbralRadii = 0.7403 - details.u;
double fgamma = Math.Abs(details.gamma);
details.PenumbralMagnitude = (1.5573 + details.u - fgamma) / 0.5450;
details.UmbralMagnitude = (1.0128 - details.u - fgamma) / 0.5450;
double p = 1.0128 - details.u;
double t = 0.4678 - details.u;
double n = 0.5458 + 0.0400 * Math.Cos(Mdash);
double gamma2 = details.gamma * details.gamma;
double p2 = p * p;
if (p2 >= gamma2)
{
details.PartialPhaseSemiDuration = 60 / n * Math.Sqrt(p2 - gamma2);
}
double t2 = t * t;
if (t2 >= gamma2)
{
details.TotalPhaseSemiDuration = 60 / n * Math.Sqrt(t2 - gamma2);
}
double h = 1.5573 + details.u;
double h2 = h * h;
if (h2 >= gamma2)
{
details.PartialPhasePenumbraSemiDuration = 60 / n * Math.Sqrt(h2 - gamma2);
}
}
return(details);
}
//Tangible Process Only End
//////////////////////////// Implementation ///////////////////////////////////
protected static CAASolarEclipseDetails Calculate(double k, ref double Mdash)
{
//Are we looking for a solar or lunar eclipse
double intp = Math.Floor(k);
bool bSolarEclipse = ((k - intp) == 0);
//What will be the return value
CAASolarEclipseDetails details = new CAASolarEclipseDetails();
//convert from K to T
double T = k / 1236.85;
double T2 = T * T;
double T3 = T2 * T;
double T4 = T3 * T;
double E = 1 - 0.002516 * T - 0.0000074 * T2;
double M = CAACoordinateTransformation.MapTo0To360Range(2.5534 + 29.10535670 * k - 0.0000014 * T2 - 0.00000011 * T3);
M = CAACoordinateTransformation.DegreesToRadians(M);
Mdash = CAACoordinateTransformation.MapTo0To360Range(201.5643 + 385.81693528 * k + 0.0107582 * T2 + 0.00001238 * T3 - 0.000000058 * T4);
Mdash = CAACoordinateTransformation.DegreesToRadians(Mdash);
double omega = CAACoordinateTransformation.MapTo0To360Range(124.7746 - 1.56375588 * k + 0.0020672 * T2 + 0.00000215 * T3);
omega = CAACoordinateTransformation.DegreesToRadians(omega);
double F = CAACoordinateTransformation.MapTo0To360Range(160.7108 + 390.67050284 * k - 0.0016118 * T2 - 0.00000227 * T3 + 0.00000001 * T4);
details.F = F;
double Fdash = F - 0.02665 * Math.Sin(omega);
F = CAACoordinateTransformation.DegreesToRadians(F);
Fdash = CAACoordinateTransformation.DegreesToRadians(Fdash);
//Do the first check to see if we have an eclipse
if (Math.Abs(Math.Sin(F)) > 0.36)
{
return(details);
}
double A1 = CAACoordinateTransformation.MapTo0To360Range(299.77 + 0.107408 * k - 0.009173 * T2);
A1 = CAACoordinateTransformation.DegreesToRadians(A1);
details.TimeOfMaximumEclipse = CAAMoonPhases.MeanPhase(k);
double DeltaJD = 0;
if (bSolarEclipse)
{
DeltaJD += -0.4075 * Math.Sin(Mdash) + 0.1721 * E * Math.Sin(M);
}
else
{
DeltaJD += -0.4065 * Math.Sin(Mdash) + 0.1727 * E * Math.Sin(M);
}
DeltaJD += 0.0161 * Math.Sin(2 * Mdash) + -0.0097 * Math.Sin(2 * Fdash) + 0.0073 * E * Math.Sin(Mdash - M) + -0.0050 * E * Math.Sin(Mdash + M) + -0.0023 * Math.Sin(Mdash - 2 * Fdash) + 0.0021 * E * Math.Sin(2 * M) + 0.0012 * Math.Sin(Mdash + 2 * Fdash) + 0.0006 * E * Math.Sin(2 * Mdash + M) + -0.0004 * Math.Sin(3 * Mdash) + -0.0003 * E * Math.Sin(M + 2 * Fdash) + 0.0003 * Math.Sin(A1) + -0.0002 * E * Math.Sin(M - 2 * Fdash) + -0.0002 * E * Math.Sin(2 * Mdash - M) + -0.0002 * Math.Sin(omega);
details.TimeOfMaximumEclipse += DeltaJD;
double P = 0.2070 * E * Math.Sin(M) + 0.0024 * E * Math.Sin(2 * M) + -0.0392 * Math.Sin(Mdash) + 0.0116 * Math.Sin(2 * Mdash) + -0.0073 * E * Math.Sin(Mdash + M) + 0.0067 * E * Math.Sin(Mdash - M) + 0.0118 * Math.Sin(2 * Fdash);
double Q = 5.2207 + -0.0048 * E * Math.Cos(M) + 0.0020 * E * Math.Cos(2 * M) + -0.3299 * Math.Cos(Mdash) + -0.0060 * E * Math.Cos(Mdash + M) + 0.0041 * E * Math.Cos(Mdash - M);
double W = Math.Abs(Math.Cos(Fdash));
details.gamma = (P * Math.Cos(Fdash) + Q * Math.Sin(Fdash)) * (1 - 0.0048 * W);
details.u = 0.0059 + 0.0046 * E * Math.Cos(M) + -0.0182 * Math.Cos(Mdash) + 0.0004 * Math.Cos(2 * Mdash) + -0.0005 * Math.Cos(M + Mdash);
//Check to see if the eclipse is visible from the Earth's surface
if (Math.Abs(details.gamma) > (1.5433 + details.u))
{
return(details);
}
//We have an eclipse at this time
details.bEclipse = true;
//In the case of a partial eclipse, calculate its magnitude
double fgamma = Math.Abs(details.gamma);
if (((fgamma > 0.9972) && (fgamma < 1.5433 + details.u)))
{
details.GreatestMagnitude = (1.5433 + details.u - fgamma) / (0.5461 + 2 * details.u);
}
return(details);
}
//Tangible Process Only End
//////////////////////////// Implementation ///////////////////////////////////
protected static CAASolarEclipseDetails Calculate(double k, ref double Mdash)
{
//Are we looking for a solar or lunar eclipse
double intp = 0;
bool bSolarEclipse = (GlobalMembersStdafx.modf(k, ref intp) == 0);
//What will be the return value
CAASolarEclipseDetails details = new CAASolarEclipseDetails();
//convert from K to T
double T = k/1236.85;
double T2 = T *T;
double T3 = T2 *T;
double T4 = T3 *T;
double E = 1 - 0.002516 *T - 0.0000074 *T2;
double M = CAACoordinateTransformation.MapTo0To360Range(2.5534 + 29.10535670 *k - 0.0000014 *T2 - 0.00000011 *T3);
M = CAACoordinateTransformation.DegreesToRadians(M);
Mdash = CAACoordinateTransformation.MapTo0To360Range(201.5643 + 385.81693528 *k + 0.0107582 *T2 + 0.00001238 *T3 - 0.000000058 *T4);
Mdash = CAACoordinateTransformation.DegreesToRadians(Mdash);
double omega = CAACoordinateTransformation.MapTo0To360Range(124.7746 - 1.56375588 *k + 0.0020672 *T2 + 0.00000215 *T3);
omega = CAACoordinateTransformation.DegreesToRadians(omega);
double F = CAACoordinateTransformation.MapTo0To360Range(160.7108 + 390.67050284 *k - 0.0016118 *T2 - 0.00000227 *T3 + 0.00000001 *T4);
details.F = F;
double Fdash = F - 0.02665 *Math.Sin(omega);
F = CAACoordinateTransformation.DegreesToRadians(F);
Fdash = CAACoordinateTransformation.DegreesToRadians(Fdash);
//Do the first check to see if we have an eclipse
if (Math.Abs(Math.Sin(F)) > 0.36)
return details;
double A1 = CAACoordinateTransformation.MapTo0To360Range(299.77 + 0.107408 *k - 0.009173 *T2);
A1 = CAACoordinateTransformation.DegreesToRadians(A1);
details.TimeOfMaximumEclipse = CAAMoonPhases.MeanPhase(k);
double DeltaJD = 0;
if (bSolarEclipse)
DeltaJD += -0.4075 *Math.Sin(Mdash) + 0.1721 *E *Math.Sin(M);
else
DeltaJD += -0.4065 *Math.Sin(Mdash) + 0.1727 *E *Math.Sin(M);
DeltaJD += 0.0161 *Math.Sin(2 *Mdash) + -0.0097 *Math.Sin(2 *Fdash) + 0.0073 *E *Math.Sin(Mdash - M) + -0.0050 *E *Math.Sin(Mdash + M) + -0.0023 *Math.Sin(Mdash - 2 *Fdash) + 0.0021 *E *Math.Sin(2 *M) + 0.0012 *Math.Sin(Mdash + 2 *Fdash) + 0.0006 *E *Math.Sin(2 *Mdash + M) + -0.0004 *Math.Sin(3 *Mdash) + -0.0003 *E *Math.Sin(M + 2 *Fdash) + 0.0003 *Math.Sin(A1) + -0.0002 *E *Math.Sin(M - 2 *Fdash) + -0.0002 *E *Math.Sin(2 *Mdash - M) + -0.0002 *Math.Sin(omega);
details.TimeOfMaximumEclipse += DeltaJD;
double P = 0.2070 *E *Math.Sin(M) + 0.0024 *E *Math.Sin(2 *M) + -0.0392 *Math.Sin(Mdash) + 0.0116 *Math.Sin(2 *Mdash) + -0.0073 *E *Math.Sin(Mdash + M) + 0.0067 *E *Math.Sin(Mdash - M) + 0.0118 *Math.Sin(2 *Fdash);
double Q = 5.2207 + -0.0048 *E *Math.Cos(M) + 0.0020 *E *Math.Cos(2 *M) + -0.3299 *Math.Cos(Mdash) + -0.0060 *E *Math.Cos(Mdash + M) + 0.0041 *E *Math.Cos(Mdash - M);
double W = Math.Abs(Math.Cos(Fdash));
details.gamma = (P *Math.Cos(Fdash) + Q *Math.Sin(Fdash))*(1 - 0.0048 *W);
details.u = 0.0059 + 0.0046 *E *Math.Cos(M) + -0.0182 *Math.Cos(Mdash) + 0.0004 *Math.Cos(2 *Mdash) + -0.0005 *Math.Cos(M + Mdash);
//Check to see if the eclipse is visible from the Earth's surface
if (Math.Abs(details.gamma) > (1.5433 + details.u))
return details;
//We have an eclipse at this time
details.bEclipse = true;
//In the case of a partial eclipse, calculate its magnitude
double fgamma = Math.Abs(details.gamma);
if (((fgamma > 0.9972) && (fgamma < 1.5433 + details.u)))
details.GreatestMagnitude = (1.5433 + details.u - fgamma) / (0.5461 + 2 *details.u);
return details;
}
