On the continuation of periodic orbits from the restricted to the general three-body problem

Computer Science – Numerical Analysis

Scientific paper

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Circular Orbits, Elliptical Orbits, Orbital Mechanics, Three Body Problem, Gravitational Effects, Mass Ratios, Numerical Analysis

Scientific paper

Some properties of the characteristic surface of a family of symmetric periodic orbits of the general three-body problem, corresponding to a fixed value of the ratio of the masses of two of the bodies, are studied in view of recent theoretical and numerical results. Periodic orbits of the planar circular restricted problem with periods equal to an integral multiple of 2 pi are of special interest for the structure of a characteristic surface.

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