论文标题
巨型星球引起的陆地行星对的接近平均运动共振：应用于开普勒68系统
Near Mean Motion Resonance of Terrestrial Planet Pair Induced by Giant Planet: Application to Kepler-68 System
论文作者
论文摘要
在这项工作中，我们研究了通过进行数千个数值模拟，研究了远处的气体巨头诱导的两个内部陆地行星近平均运动共振（MMR）的构型形成。结果表明，地球行星的形成与I型迁移速度，行星的质量和巨型行星的存在有关。巨型行星的质量和偏心率在塑造系统的最终配置中起着至关重要的作用。如果巨型行星用偏心轨道旋转中央恒星，则可以将内行星对捕获在5：3或7：4 mmr中，这与观察到的Kepler-68的构型相似。此外，我们发现，如果巨型行星比5 $ M_J $更大，则中间星球的偏心率可能会兴奋至0.2，否则陆地行星倾向于保持近圆形轨道。我们的研究可能为行星系统提供了一个可能的地层场景，这些行星系统内有几个陆地行星，内部MMR附近有几个陆地行星，而它们的一个天然气较大。
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.
