Resonant planetary dynamics: Periodic orbits and long-term stability

George Voyatzis, Kyriaki I. Antoniadou, John D. Hadjidemetriou

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution


Many exo-solar systems discovered in the last decade consist of planets orbiting in resonant configurations and consequently, their evolution should show long-term stability. However, due to the mutual planetary interactions a multi-planet system shows complicated dynamics with mostly chaotic trajectories. We can determine possible stable configurations by computing resonant periodic trajectories of the general planar three body problem, which can be used for modeling a two-planet system. In this work, we review our model for both the planar and the spatial case. We present families of symmetric periodic trajectories in various resonances and study their linear horizontal and vertical stability. We show that around stable periodic orbits there exist regimes in phase space where regular evolution takes place. Unstable periodic orbits are associated with the existence of chaos and planetary destabilization.
Original languageEnglish
Title of host publicationProceedings of 10th HSTAM International Congress on Mechanics, Chania, Crete, Greece, 25-27 May, 2013
Publication statusPublished - 2013


  • Astrophysics - Earth and Planetary Astrophysics


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