Resonance Trapping in Planetary Systems

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We study dynamics of a planetary system that consists of a star and two planets taking into account dynamical friction. Numerical integrations of a restricted planar circular three body model of this system indicate resonance capture. The main purpose of this paper is to present the results of an extensive numerical experiment performed on this model and also to present analytical arguments for the observed resonance trapping and its consequences. The equations of motion are written in terms of Delaunay variables and the recently developed method of partial averaging near resonance* is employed in order to account for the behavior of the system at resonance. * C.Chicone, B.Mashhoon and D.Retzloff, Ann.Inst.Henri Poincare, Vol.64, no 1, 1996, p.87-125.

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