Resonant capture of multiple planet systems under dissipation and stable orbital configurations

George Voyatzis

doi:10.1140/epjst/e2016-02655-2

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arXiv · 1604.03341

Resonant capture of multiple planet systems under dissipation and stable orbital configurations

George Voyatzis

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Abstract

Migration of planetary systems caused by the action of dissipative forces may lead the planets to be trapped in a resonance. In this work we study the conditions and the dynamics of such resonant trapping. Particularly, we are interested in finding out whether resonant capture ends up in a long-term stable planetary configuration. For two planet systems we associate the evolution of migration with the existence of families of periodic orbits in the phase space of the three-body problem. The family of circular periodic orbits exhibits a gap at the 2:1 resonance and an instability and bifurcation at the 3:1 resonance. These properties explain the high probability of 2:1 and 3:1 resonant capture at low eccentricities. Furthermore, we study the resonant capture of three-planet systems. We show that such a resonant capture is possible and can occur under particular conditions. Then, from the migration path of the system, stable three-planet configurations, either symmetric or asymmetric, can be determined.

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George Voyatzis. 2016-04-12. Resonant capture of multiple planet systems under dissipation and stable orbital configurations. https://doi.org/10.1140/epjst%2Fe2016-02655-2

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