The Lambert W function and solutions to Kepler's equation

Details The Lambert W function and solutions to Kepler's equation The Lambert W function and solutions to Kepler's equation

Sep 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007cemda..99...13s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 99, Issue 1, pp.13-22

Astronomy and Astrophysics

Astronomy

Scientific paper

This paper presents a method for the truncation of infinite Fourier Bessel representations for functions requiring a solution to Kepler’s equation. Use is made of the Lambert W function to solve for the desired index that bounds the remainder terms of the series, within the prescribed tolerance. The enforcement of a maximum on the number of Bessel functions is also useful in truncating the Bessel functions themselves, resulting in an analytical representation of the solution to a desired tolerance, without the use of infinite series.

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