Path: Math/Analysis
% Computes the Gaussian form of the Legendre functions. Will also compute the first derivatives, if requested. Because there is no zero indexing in Matlab, the P's are offset in the p matrix as follows: n,m p(n+1,m+1) = P Since version 1. -------------------------------------------------------------------------- Form: [p, dP] = PGauss( nMax, mMax, theta ) -------------------------------------------------------------------------- ------ Inputs ------ nMax max value of first index mMax max value of second index theta input value (usually an angle in rads) ------- Outputs ------- n,m p Gauss functions, P n,m dP ?P / ?(theta) -------------------------------------------------------------------------- References: Wertz, J., Spacecraft Attitude Determination and Control, Kluwer, 1976, pp. 781. --------------------------------------------------------------------------
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