An analytical method of computing the state transition matrix in orbit determination.

Details An analytical method of computing the state transition matrix in orbit determination. An analytical method of computing the state transition matrix in orbit determination.

May 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999acasn..40..113z&link_type=abstract

Acta Astron. Sin., Vol. 40, No. 2, p. 113 - 121

Astronomy and Astrophysics

Astronomy

2

Orbit Determination: Numerical Methods, Orbit Determination: Celestial Mechanics

Scientific paper

Because of the complexity of force models, the precise ephemeris and the state transition matrix in orbit determination are usually obtained by solving two groups of ordinary differential equations with numerical integration. In this paper, a simplified analytical method for computing the state transition matrix is presented. This method is not only very efficient for the case that the orbit arc is not too long, but also it can avoid the integration of two groups of differential equations at the same time. A practical test justifies the efficiency of the method.

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