{ "id": "2006.14506", "version": "v1", "published": "2020-06-25T15:54:16.000Z", "updated": "2020-06-25T15:54:16.000Z", "title": "Near Mean Motion Resonance of Terrestrial Planet Pair Induced by Giant Planet: Application to Kepler-68 System", "authors": [ "Mengrui Pan", "Su Wang", "Jianghui Ji" ], "comment": "13 pages, 8 figures, accepted for publication in MNRAS", "categories": [ "astro-ph.EP" ], "abstract": "In this work, we investigate configuration formation of two inner terrestrial planets near mean motion resonance (MMRs) induced by the perturbation of a distant gas-giant for the Kepler-68 system, by conducting thousands of numerical simulations. The results show that the formation of terrestrial planets is relevant to the speed of Type I migration, the mass of planets, and the existence of giant planet. The mass and eccentricity of the giant planet may play a crucial role in shaping the final configuration of the system. The inner planet pair can be trapped in 5:3 or 7:4 MMRs if the giant planet revolves the central star with an eccentric orbit, which is similar to the observed configuration of Kepler-68. Moreover, we find that the eccentricity of the middle planet can be excited to roughly 0.2 if the giant planet is more massive than 5 $M_J$,otherwise the terrestrial planets are inclined to remain near-circular orbits. Our study may provide a likely formation scenario for the planetary systems that harbor several terrestrial planets near MMRs inside and one gas-giant exterior to them.", "revisions": [ { "version": "v1", "updated": "2020-06-25T15:54:16.000Z" } ], "analyses": { "keywords": [ "mean motion resonance", "terrestrial planet pair", "application", "inner terrestrial planets", "configuration" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }