Periodic solutions of the relativistic restricted circular three-body problem

Computer Science

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Circular Orbits, Gravitational Fields, Relativistic Effects, Three Body Problem, Equations Of Motion, Orbital Mechanics, Periodic Functions, Poincare Problem

Scientific paper

Consideration of the motion of a passively gravitating material point in the gravitational field of two bodies of finite mass describing circular orbits about a common center of inertia within the framework of the relativistic restricted three-body problem. Using Poincare's small-parameter method, the existence of periodic solutions in the relativistic restricted circular problem of three bodies encompassing two attracting masses is demonstrated.

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