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SphericalCapCoef()
spherical harmonics software package, spherical harmonic transform, legendre functions, multitaper spectral analysis, Python, gravity, magnetic field
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pysphericalcapcoef.html
python
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pydoc

Calculate the spherical harmonic coefficients of a spherical cap.

Usage

coef = SphericalCapCoef (theta, lmax)

Returns

coef : float, dimension(lmax+1) : The zonal spherical harmonic coefficients of a spherical cap centered over the north pole.

Parameters

theta : float : The angular radius of the spherical cap in radians.

lmax : integer : The maximum spherical harmonic degree to calculate the spherical harmonic coefficients.

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.