The Formation and Maintenance of Laplace Resonances in Multiple Exoplanet Systems

Details The Formation and Maintenance of Laplace Resonances in Multiple Exoplanet Systems The Formation and Maintenance of Laplace Resonances in Multiple Exoplanet Systems

Sep 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ess.....2.3404c&link_type=abstract

American Astronomical Society, ESS meeting #2, #34.04

Mathematics

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Scientific paper

Laplace resonance was first discovered among the inner Galilean moons of Jupiter, which is characterized with three bodies’ period radio close to 4:2:1 and the Laplace angle librating, and often companied with a double 2:1 mean-motion resonance. Similar to other resonances, Laplace resonance also results from bodies’ differential migration due to non-conservative forces. As the differential migration of the Galilean satellites due to interactions with a circumjovian disk leading to the primordial formation of the Laplace resonance, tidal interaction with circumstellar gas disc can also drive protoplanets into Laplace resonance under some circumstances.
We investigated two multi-exoplanet systems, HD40307 and GJ876 systems, in which both period radios of three nearest planets are close to 4:2:1. Considering the planets’ large masses relative to their close orbits, orbital migrations are supposed to be inevitable. So it is very probable that they are or have been in Laplace resonance. By N-body simulation and some analyses, we constricted the conditions for disks and bodies’ masses in which Laplace resonance could be trapped, and made a discussion how different parameters affect the trapping probability. We also discussed the possible multiple exoplanet systems that might be in 4:2:1 resonances detected in Kepler mission.

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