An expression of the third body perturbation analytic solutions.

Details An expression of the third body perturbation analytic solutions. An expression of the third body perturbation analytic solutions.

Feb 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000acasn..41...79j&link_type=abstract

Acta Astron. Sin., Vol. 41, No. 1, p. 79 - 92

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Celestial Mechanics, Two-Body Problem: Perturbations

Scientific paper

In the solar system, it is reasonable to regard the motion problems of the major planets, minor planets and satellites as the perturbed two-body problem, and the perturbing sources are mainly the third body. As the third body, some perturbing bodies are nearer to the central body than the moving one, others are on the contrary, so the former are called the inner perturbing bodies and the latter the outer perburbing bodies. As far as a specific moving body is concerned, the above two kinds of perturbing bodies will appear at the same time. However, as long as the orbits of the moving and perturbing bodies are based on an identical coordinate system, in which the central body (barycenter) is located as the origin, under a certain condition (except for the case of the moving body crossing the perturbing body's orbit), the general expressions of the third body perturbation analytic solutions can be constructed.

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