Solution of equations of the perturbed motion in the general three-bodies problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Three-Bodies Problem, Perturbations Of Third Order, Ξ Uma

Scientific paper

The differential equations of the perturbed motion for the particular case of the nonrestricted three-bodies problem are received, using the classical method of variation of constants. As the perturbing function the terms of the third order in the Hamiltonian were used. The equations of the perturbed motion of the periastrons of the inner and outer orbits and the node were integrated by the iteration method. As the example the stellar system ξ UMa was used.

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