Dynamical Friction and Planetary Migration

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Numerical integrations of a three-body system consisting of a star and two planets in a uniform interplanetary medium indicate a combination of planetary migration and temporary resonance capture, when the dynamic frictional force of the medium is taken into account. Integrations reveal that the outer planet migrates outwards before being captured in resonance and the duration of this resonance lock is dependent on the value of the density of the medium. After leaving the resonant state, the outer planet continues its outward migration. Results of a series of numerical integrations for the system of Sun, Jupiter and Saturn with the different values of the density for the interplanetary medium are presented. It is shown that Saturn migrates outwards and becomes captured in a (3:1) resonance with Jupiter. It stays in that state for few hundred thousand years until it leaves the resonance and continues its outward migration. The dynamical behavior of the orbital elements and angular momentum of the two planets, during the migration as well as the resonance, and also the relation between the density of the interplanetary medium and the duration of the resonance lock are discussed.

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