Calculate the spherical harmonic coefficients of a spherical cap.

Usage

call SphericalCapCoef (coef, theta, lmax, exitstatus)

Parameters

coef : output, real*8, dimension(lmaxin+1)
The zonal spherical harmonic coefficients of a spherical cap centered over the north pole.
theta : input, real*8
The angular radius of the spherical cap in radians.
lmax : optional, input, integer, default = lmaxin
The maximum spherical harmonic degree to calculate the spherical harmonic coefficients.
exitstatus : output, optional, integer
If present, instead of executing a STOP when an error is encountered, the variable exitstatus will be returned describing the error. 0 = No errors; 1 = Improper dimensions of input array; 2 = Improper bounds for input variable; 3 = Error allocating memory; 4 = File IO error.

Description

SphericalCapCoef will calculate the spherical harmonic coefficients of a spherical cap centered over the north pole. The zonal coefficients, returned in the array coef, are normalized such that the degree-0 term is 1, and are to be used with either the geodesy 4-pi normalized or orthonormalized spherical harmonics.

Tags: fortran
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