Distant encounter between Keplerian particles

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Effects, Hill Method, Kepler Laws, Protoplanets, Perturbation Theory, Planetary Evolution

Scientific paper

The gravitational scattering process between two planetesimals rotating around a protosun is investigated. The three-dimensional Hill's equation is solve approximately, obtaining analytic expressions for the changes of orbital elements resulting from an encounter for two special cases: (1) the initial semimajor axes of the bodies are nearly equal, and (2) they are very different.

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