The solutions of Kepler's equation. II

Details The solutions of Kepler's equation. II The solutions of Kepler's equation. II

Nov 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..31..317b&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 31, Nov. 1983, p. 317-328.

Physics

10

Hyperbolic Functions, Iterative Solution, Kepler Laws, Orbital Mechanics, Anomalies, Eccentric Orbits, Elliptical Orbits

Scientific paper

Initial values for the iterative solution of Kepler's equation for hyperbolic orbits are considered. Generalizations for elliptic and hyperbolic orbits that remove the explicit role of the pericenter, and the use of universal variables are also investigated. Results are displayed in figures where the M-e plane is divided into regions in such a way that in each region the number of iterations required for the solution is the same at all points.

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