Compute all the 4-pi (geodesy) normalized Legendre polynomials.

Usage

p = PlBar (lmax, z)

Returns

p : float, dimension (lmax+1)
An array of 4-pi (geodesy) normalized Legendre polynomials up to degree lmax. Degree l corresponds to array index l.

Parameters

lmax : integer
The maximum degree of the Legendre polynomials to be computed.
z : float
The argument of the Legendre polynomial.

Description

PlBar will calculate all of the 4-pi (geodesy) normalized Legendre polynomials up to degree lmax for a given argument. These are calculated using a standard three-term recursion formula. The integral of the geodesy-normalized Legendre polynomials over the interval [-1, 1] is 2.