The solution of Kepler's equation. I

Details The solution of Kepler's equation. I The solution of Kepler's equation. I

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..31...95d&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 31, Oct. 1983, p. 95-107.

Computer Science

26

Celestial Mechanics, Iterative Solution, Kepler Laws, Newton-Raphson Method, Algorithms, Boundary Value Problems, Convergence, Newton Methods, Quartic Equations

Scientific paper

A method of iteration having local quartic convergence is described which works well for Kepler's equation. Attention is also given to several initial guesses for the iteration. No attempt is made to portray any of these in an especially favorable light. The method of iteration used in the comparisons has local convergence of the fourth order. It is contended that Newton's method provides an unrivalled starting point for the systematic development of higher order algorithms.

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