Construction of Approximate Solution of Equations for Disturbed Motion of a Satellite of a Spheroidal Planet

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

The disturbed motion of a satellite of a spheroidal planet under the action of nonautonomous potential disturbances is considered. An additional fictitious degree of freedom is added, as well as a corresponding pair of adjoint canonical variables. Then, the extended Hamiltonian system of equations obtained in relation to Euler's orbital elements is solved by the Delaunay-von Zeipel method of canonical transformations.

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