Secular perturbations of elements in the restricted parabolic three-body problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Motion Stability, Perturbation Theory, Three Body Problem, Analytic Functions, Numerical Integration, Parabolas, Secular Variations

Scientific paper

Analytical formulas are obtained for secular perturbations of the eccentricity and of the pericenter argument in the restricted parabolic three-body problem. The perturbations obtained are compared with the results of numerical integration of twice-averaged equations. The results can be used to describe the evolution of planets in a planetary system.

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