On the Super-Earths locked in the 3:2 mean-motion resonance

Nov, 2009

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Abstract: (EDP Sciences)
Extrasolar Planets in Multi-Body Systems: Theory and ObservationsK. Goździewski, A. Niedzielski and J. Schneider (eds)EAS Publications Series, 42 (2010) 287-290On the Super-Earths locked in the 3:2 mean-motion resonanceA. Łacny1 and E. Szuszkiewicz21 Faculty of Mathematics and Physics, University of Szczecin Wielkopolska 15, 70-451 Szczecin, Poland 2 CASA and Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland The first study of migration-induced resonances in a pair ofEarth-like planets has been performed by Papaloizou & Szuszkiewicz(2005). They concluded that in the case of disparate masses embeddedin a disc with the surface density expected for a minimum mass solarnebula at 5.2 au, the most likely resonances are ratios of large integers, such as 8:7. For equal masses, planets tend to enter into the 2:1 or 3:2 resonance. In Papaloizou & Szuszkiewicz(2005) the two low-mass planets have masses equal to 4 Earth masses,chosen to mimic the very well known example of two pulsar planets whichare close to the 3:2 resonance. That study has stimulated quite a fewinteresting questions. One of them is considered here, namelyhow the behaviour of the planets close to the mean-motionresonance depends on the actual values of the masses of the planets. We have chosen a 3:2 commensurability and investigated the outcome of an orbitalmigration in the vicinity of this resonance in the case of a pairof equal mass super-Earths, whose mass is either 5 or 8Earth masses.