论文标题

宽分离巨大行星系统中高阶谐振链的不稳定性

Instability from high-order resonant chains in wide-separation massive planet systems

论文作者

Murphy, Matthew M., Armitage, Philip J.

论文摘要

系外系统系统性质的多样性部分是由于行星形成后发生的动态进化而产生的。我们使用数值整合来探讨世俗和共振动力学在模型行星系统的长期演变中的相对作用,该动力学在最初的偏心轨道上由三个相等的质量巨型行星组成。研究的分离范围由世俗的过程主导,但相交的高阶平均谐振链。随着时间尺度的$ 10^8 $轨道,模拟系统的世俗演变主要是规则的。但是,高阶谐振链可能是角动量赤字(AMD)的重要来源,导致不稳定。使用基于希尔伯特变换的时间序列分析,我们将不稳定性与混乱进化的宽阔岛相关联。先前的工作表明,一阶共振可以改变名义上的世俗系统的AMD并促进世俗的混乱。我们发现,当存在链中时,高阶共振可能会产生相似的影响。

Diversity in the properties of exoplanetary systems arises, in part, from dynamical evolution that occurs after planet formation. We use numerical integrations to explore the relative role of secular and resonant dynamics in the long-term evolution of model planetary systems, made up of three equal mass giant planets on initially eccentric orbits. The range of separations studied is dominated by secular processes, but intersects chains of high-order mean-motion resonances. Over time-scales of $10^8$ orbits, the secular evolution of the simulated systems is predominantly regular. High-order resonant chains, however, can be a significant source of angular momentum deficit (AMD), leading to instability. Using a time-series analysis based on a Hilbert transform, we associate instability with broad islands of chaotic evolution. Previous work has suggested that first-order resonances could modify the AMD of nominally secular systems and facilitate secular chaos. We find that higher-order resonances, when present in chains, can have similar impacts.

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