共振微扰引起的中心构型不稳定性
The Instability of the Central Configuration Caused By Resonance Perturbation
摘要：
中心组态模型考虑了粒子间的引力相互作用。在此基础上，用限制性三体问题方法考虑了远距离卫星对中心位形粒子的共振摄动。简单的平均运动共振和参数共振区之间的转移。这种转变取决于质量卫星和中央配置的属性。出乎意料的是，共振结构仅取决于颗粒密度和中心构型中的颗粒数量，而不取决于颗粒质量。然后，考虑了平面中心构型系统。由参数不稳定性引起的共振结构比简单的平均运动共振结构更为丰富。参数不稳定的区域从两侧限制了稳定的中心构型，使其处于精确的对称性。讨论了这种结构在行星环结构中的可能应用。
英文摘要：
The gravitation interaction between particles is taken into account in central configuration model. After that, the resonance perturbation of the particle of the central configuration by distant satellite is considered in the restricted 3-body problem approach. A shift between simple mean motion resonances and parametric resonance zones is derived. This shift depends upon mass satellite and central configuration properties. Unexpectedly, the resonance structure depends only on particle density and number of particles in the central configuration, but not depends on particles mass. Then, the system of few non-interacted planar central configurations is considered. The resonance structure, which follows from parametric instability, is more abundant than for simple mean motion resonance case. The areas of parametric instability restrict stable central configuration, placed in exact commensurability, from both sides. The possible application to the planetary ring structure is discussed.
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