Universal Keplerian state transition matrix

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1985 English Publisher:Springer Science and Business Media LLCJournal:Celestial Mechanics, volume 35, pages 129-144 (issn: 0008-8714, eissn: 1572-9478,

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Authors: Shepperd, Stanley W.;

doi: 10.1007/bf01227666

Universal Keplerian state transition matrix

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Abstract

A completely general method for computing the Keplerian state transition matrix in terms of Goodyear's universal variables is presented. This includes a new scheme for solving Kepler's problem which is a necessary first step to computing the transition matrix. The Kepler problem is solved in terms of a new independent variable requiring the evaluation of only one transcendental function. Furthermore, this transcendental function may be conveniently evaluated by means of a Gaussian continued fraction.

Related Organizations

Draper Laboratory
United States

Keywords

Keplerian state transition matrix, Goodyear's universal variables, Celestial mechanics, Computational methods for problems pertaining to mechanics of particles and systems, Gaussian continued fraction

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