Safe Haskell	None
Language	Haskell2010

Math.SphericalHarmonics.AssociatedLegendre

Description

Provides definitions of associated Legendre functions used in spherical harmonic models.

Synopsis

associatedLegendreFunction :: (Floating a, Ord a) => Int -> Int -> a -> a
schmidtSemiNormalizedAssociatedLegendreFunction :: (Floating a, Ord a) => Int -> Int -> a -> a

Documentation

associatedLegendreFunction Source #

Arguments

:: (Floating a, Ord a)
=> Int	Degree `n` of the desired associated Legendre function.
-> Int	Order `m` of the desired associated Legendre function.
-> a
-> a

Computes the associated Legendre function of degree n and order m. Note that the resulting function may not be a polynomial, as when m is odd it involves a fractional power of x. As used in the geodesy and magnetics literature, these functions do not include the Condon-Shortley phase.

schmidtSemiNormalizedAssociatedLegendreFunction Source #

Arguments

:: (Floating a, Ord a)
=> Int	Degree `n` of the desired function.
-> Int	Order `m` of the desired function.
-> a
-> a

Computes the Schmidt semi-normalized associated Legendre function of degree n and order m. As used in the geodesy and magnetics literature, these functions do not include the Condon-Shortley phase.