Computing secular motion under slowly rotating quadratic perturbation

Details Computing secular motion under slowly rotating quadratic perturbation Computing secular motion under slowly rotating quadratic perturbation

2006-06-09

arxiv.org/abs/astro-ph/0606221v1

Astronomy and Astrophysics

Astrophysics

3 pages, 0 figures accepted for publication

Scientific paper

We consider secular perturbations of nearly Keplerian two-body motion under a perturbing potential that can be approximated to sufficient accuracy by expanding it to second order in the coordinates. After averaging over time to obtain the secular Hamiltonian, we use angular momentum and eccentricity vectors as elements. The method of variation of constants then leads to a set of equations of motion that are simple and regular, thus allowing efficient numerical integration. Some possible applications are briefly described.

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