Series Solutions of Kepler's Equation

Marc A. Murison

Astronomical Applications Department
U.S. Naval Observatory
Washington, DC

murisonATusno.navy.mil
http://www.alpheratz.net/murison/

June 26, 1998

Contents

Introduction

An Iterative Method

A Series Expansion Method

A Fourier Sine Series Expansion and Resulting Bessel Function Representation for the Coefficients

Chebyshev Polynomials

A Chebyshev Series Expansion