One resonance case of the perturbed motion of the satellite of a spheroidal planet

Physics

Scientific paper

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Celestial Mechanics, Natural Satellites, Orbit Perturbation, Perturbation Theory, Equations Of Motion, Hamiltonian Functions, Quadratures, Resonance, Spheroids

Scientific paper

Doubly averaged (in the sense of Delaunay-Hill) Hamiltonians of equations of the perturbed motion of the satellite of a spheroidal planet in action-angle variables are reduced to quadratures. It is assumed that nonperturbed motion is determined by the generalized problem of two fixed centers; the influence of the perturbing body is taken into account.

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