Dynamics of systems of two close planets

Mathematics – Logic

Scientific paper

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187

Protoplanets, Planetary Evolution, Planetary Mass, Eccentric Orbits, Chaos, Embryos, Solar System, Pulsars

Scientific paper

The present study of the dynamics of two interacting planets orbiting a sun proceeds by examining the topological stability of the three-body problem; for initially circular planetary orbits, the system will be Hill stable, as is supported by numerical integrations. The chaotic dynamics of these systems is investigated, and a region of bound chaos outside the Hill-stable zone is noted. The implications of these findings for planetary accretion, the current solar system, and the pulsar planet system PSR 1257+12, are probed.

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