Solving Kepler's equation with high efficiency and accuracy

Details Solving Kepler's equation with high efficiency and accuracy Solving Kepler's equation with high efficiency and accuracy

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..51..319n&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 51, no. 4, 1991, p. 319-330.

Statistics

Computation

8

Elliptical Orbits, Kepler Laws, Orbital Mechanics, Problem Solving, Two Body Problem, Accuracy, Computational Astrophysics, Iterative Solution

Scientific paper

A method is presented for solving Kepler's equation for elliptical orbits that represents a gain in efficiency and accuracy compared with those currently in use. The gain is obtained through a starter algorithm which uses Mikkola's (1987) ideas in a critical range, and less costly methods elsewhere. A higher-order Newton method is used thereafter. The method requires two trigonometric evaluations.

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