论文标题
在倾斜的外部伴侣的影响下，共振行星的倾斜动力学
Inclination Dynamics of Resonant Planets under the Influence of an Inclined External Companion
论文作者
论文摘要
最近的观察结果表明，很大一部分开普勒超级地铁系统具有外部巨型行星伴侣（冷木星），这些行星可以塑造内行星的建筑，尤其是它们的相互倾向。冷木星的动态扰动可能解释了开普勒数据中未对准行星的数量。这种机制的有效性可能会受到强大的行星的阻碍 - 内部系统中的行星耦合。在本文中，我们研究了平均动作共振（MMR）如何影响这种耦合和预期的未对准。我们在倾斜伴侣中引起的内部行星系统中的相互倾斜度激发的近似分析表达式，以各种时期比率和perturber特性。在大多数情况下，相互的倾斜度与无量纲参数成正比，该参数表征了与内部系统中的耦合相对于垂直的强度。我们表明，MMR加强了内部耦合，从而将perturber引起的相互倾斜度减少了几个。我们发现谐振对扰动具有弹性，并得出了谐振角度库的标准。我们的结果应用于限制看不见的行星珀特伯，以及理解多平台系统的体系结构。
Recent observations suggest that a large fraction of Kepler super-Earth systems have external giant planet companions (cold Jupiters), which can shape the architecture of the inner planets, in particular their mutual inclinations. The dynamical perturbation from cold Jupiters may account for the population of misaligned planets in the Kepler data. The effectiveness of this mechanism can be hindered by a strong planet--planet coupling in the inner system. In this paper, we study how mean-motion resonances (MMRs) affect this coupling and the expected misalignment. We derive approximate analytical expressions for the mutual inclination excitations in the inner planet system induced by an inclined companion, for various period ratios and perturber properties. In most cases, the mutual inclination is proportional to a dimensionless parameter that characterizes the strength of the perturber relative to the coupling in the inner system. We show that the MMR strengthens the inner coupling, reducing the mutual inclination induced by the perturber by a factor of a few. We find that the resonance is resilient to the perturbation, and derive a criterion for the libration of the resonant angle. Our results have applications for constraining unseen planetary perturbers, and for understanding the architecture of multiplanet systems.
