On the Equinoctial Orbit Elements

Details On the Equinoctial Orbit Elements On the Equinoctial Orbit Elements

May 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972cemec...5..303b&link_type=abstract

Celestial Mechanics, Volume 5, Issue 3, pp.303-310

Physics

15

Scientific paper

This paper investigates the equinoctial orbit elements for the two-body problem, showing that the associated matrices are free from singularities for zero eccentricities and zero and ninety degree inclinations. The matrix of the partial derivatives of the position and velocity vectors with respect to the orbit elements is given explicitly, together with the matrix of inverse partial derivatives, in order to facilitate construction of the matrizant (state transition matrix) corresponding to these elements. The Lagrange and Poisson bracket matrices are also given. The application of the equinoctial orbit elements to general and special perturbations is discussed.

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