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The 1/1 resonance in extrasolar systems

Migration from planetary to satellite orbits

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Abstract

We present families of symmetric and asymmetric periodic orbits at the 1/1 resonance, for a planetary system consisting of a star and two small bodies, in comparison to the star, moving in the same plane under their mutual gravitational attraction. The stable 1/1 resonant periodic orbits belong to a family which has a planetary branch, with the two planets moving in nearly Keplerian orbits with non zero eccentricities and a satellite branch, where the gravitational interaction between the two planets dominates the attraction from the star and the two planets form a close binary which revolves around the star. The stability regions around periodic orbits along the family are studied. Next, we study the dynamical evolution in time of a planetary system with two planets which is initially trapped in a stable 1/1 resonant periodic motion, when a drag force is included in the system. We prove that if we start with a 1/1 resonant planetary system with large eccentricities, the system migrates, due to the drag force, along the family of periodic orbits and is finally trapped in a satellite orbit. This, in principle, provides a mechanism for the generation of a satellite system: we start with a planetary system and the final stage is a system where the two small bodies form a close binary whose center of mass revolves around the star.

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Authors and Affiliations

  1. Department of Physics, University of Thessaloniki, Thessaloniki, Greece

    John D. Hadjidemetriou & George Voyatzis

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  1. John D. Hadjidemetriou
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  2. George Voyatzis
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Correspondence to George Voyatzis.

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Hadjidemetriou, J.D., Voyatzis, G. The 1/1 resonance in extrasolar systems. Celest Mech Dyn Astr 111, 179–199 (2011). https://doi.org/10.1007/s10569-011-9341-7

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  • DOI: https://doi.org/10.1007/s10569-011-9341-7

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