A satellite version of the general three-body problem

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Celestial Mechanics, Natural Satellites, Three Body Problem, Center Of Mass, Differential Equations, Spheres, Spheroids

Scientific paper

The general three-body problem is considered in which one of the bodies is a spheroid and two others are bodies with spherical structure. Differential equations of the problem are constructed and the existence of their particular solutions is proved for the case when the bodies' centres of mass form an isosceles triangle or are always located on a straight line.

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