KeplerSolve.mws
Contents
Introduction
ellipse cartoon calculations
An Iterative Method
A Series Expansion Method
A Fourier Sine Series Expansion and Resulting Bessel Function Representation for the Coefficients
Chebyshev Polynomials
Definition
A Recurrence Relation
Orthogonality
Least Squares Fit and Determination of Chebyshev Series Coefficients
A Chebyshev Series Expansion
Determination of the Coefficients
The Weber Function
Comparison to the Taylor Series Expansion
A Fancy 3D View of the Error