A FAST PROCEDURE SOLVING GAUSS FORM OF KEPLERS EQUATION

Authors
FUKUSHIMA T
Citation
T. Fukushima, A FAST PROCEDURE SOLVING GAUSS FORM OF KEPLERS EQUATION, Celestial mechanics & dynamical astronomy, 70(2), 1998, pp. 115-130
Citations number
14
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Celestial mechanics & dynamical astronomy → ACNP
ISSN journal
09232958
Volume
70
Issue
2
Year of publication
1998
Pages
115 - 130
Database
ISI
SICI code
0923-2958(1998)70:2<115:AFPSGF>2.0.ZU;2-4
Abstract
We developed a procedure solving Gauss' form of Kepler's equation, whi ch is suitable for determining position in the nearly parabolic orbits . The procedure is based on the combination of asymptotic solutions, t he method of bisection, and the Newton method of succesive correction. It runs 3-4 times faster than the original Gauss' method.