Characterization of Approximate Solutions
of Kepler's Equation
and
Optimization of Time Series Storage

Marc A. Murison

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

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

June 19, 1998

Contents

Introduction

Expansion in eccentricity

Expansion in time

Characterizing the error term for a given time span

Optimization of expression size

Miscellaneous 1: y as a function of e and M

Miscellaneous 2: a different approximation approach

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