论文标题
行星在共振链中的稳定性标准
A Criterion for the Stability of Planets in Chains of Resonances
论文作者
论文摘要
揭示重现紧凑型超级冰球系统的不同特性的形成过程是行星形成理论的主要目标。最成功的模型认为，非共鸣系统是从后来经历动态不稳定的行星的共鸣链开始的。然而，谐振链中稳定的边界和不稳定性本身的机制都鲜为人知。先前的工作假设，最快的库频率与主教频率差异之间的次要共振破坏了系统的稳定性。在这里，我们使用该假设来产生一个简单而通用的标准，用于谐振链稳定性，仅取决于行星轨道时期和质量。我们表明，该标准准确地预测了多达六个行星的合成谐振链中行星的最大质量。尽管我们的标准仍然有用，并且比机器学习模型优越，但在种群合成模拟中产生的更复杂的谐振链的稳定性比预期的不那么稳定。
Uncovering the formation process that reproduces the distinct properties of compact super-Earth exoplanet systems is a major goal of planet formation theory. The most successful model argues that non-resonant systems begin as resonant chains of planets that later experience a dynamical instability. However, both the boundary of stability in resonant chains and the mechanism of the instability itself are poorly understood. Previous work postulated that a secondary resonance between the fastest libration frequency and a difference in synodic frequencies destabilizes the system. Here, we use that hypothesis to produce a simple and general criterion for resonant chain stability that depends only on planet orbital periods and masses. We show that the criterion accurately predicts the maximum mass of planets in synthetic resonant chains up to six planets. More complicated resonant chains produced in population synthesis simulations are found to be less stable than expected, although our criterion remains useful and superior to machine learning models.
