Evaluation of the solvers for Kepler's equation.

Details Evaluation of the solvers for Kepler's equation. Evaluation of the solvers for Kepler's equation.

Sep 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997ppmto..16..164y&link_type=abstract

Publ. Purple Mt. Obs., Vol. 16, No. 3, p. 164 - 174

Computer Science

Two-Body Problem: Numerical Methods

Scientific paper

A complete review of the solution methods for Kepler's equation in recent thirty years was conducted. It includes two aspects: formulae for initial values and their revise methods. The authors found that Markley's initial value is the most accurate but not efficient enough. The authors' conclusion is that the third order Halley's method proposed by Odell & Gooding and Niejenhuis respectively, forms the most efficient algorithm, which can also assure its convergence.

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