Particular solutions to the restricted problem of three spheroids

Astronomy and Astrophysics – Astronomy

Scientific paper

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Lagrangian Equilibrium Points, Libration, Orbital Mechanics, Satellite Orbits, Three Body Problem, Celestial Mechanics, Satellite Rotation, Spheroids, Translational Motion

Scientific paper

Mathematical study of the occurrence of libration points in the restricted problem of the translational-rotational motion of a homogeneous spheroidal satellite of infinitesimal mass in the gravitational field of two homogeneous spheroids. It is assumed that during the total time of motion, the satellite center of mass lies in the orbital plane of the attracting spheroids. Equations for the collinear and triangular libration points are derived.

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