dot-CalcLegendreComponents: Compute Legendre Components

In wmm: World Magnetic Model

Description

Function that computes the components of the associated Legendre function, P(mu, n, m), only dependent on (degree, order) indices. This function is only used to precompute values.

Usage

.CalcLegendreComponents(n, m)

Arguments

n	degree of associated Legendre function
m	order of associated Legendre function

Details

The underlying equation used is:

P(x, n, m)=(-1)^m * 2^n * (1-x^2)^(m/2) * sum(for m <= k <= n: k!/(k-m)! * x^(k-m) * choose(n, k) * choose((n+k-1)/2, n))

wmm documentation built on Sept. 6, 2021, 9:10 a.m.