Universal Keplerian state transition matrix

Details Universal Keplerian state transition matrix Universal Keplerian state transition matrix

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..35..129s&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 35, Feb. 1985, p. 129-144.

Computer Science

6

Kepler Laws, Matrix Theory, Fractions, Independent Variables, Transcendental Functions, Trigonometric Functions

Scientific paper

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.

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