This paper studies resonance motions of a tethered satellite system (TSS) in elliptical orbits. A perturbation analysis is carried out to obtain all possible resonance types and corresponding parameter relations, including internal resonances and parametrically excited resonances. Besides, a resonance parametric domain is given to provide a reference for the parameter design of the system. The bifurcation behaviors of the system under resonances are studied numerically. The results show that resonant cases more easily enter chaotic motion than nonresonant cases. The extended time-delay autosynchronization (ETDAS) method is applied to stabilize the chaotic motion to a periodic one. Stability analysis shows that the stable domains become smaller in resonance cases than in the nonresonance case. Finally, it is shown that the large amplitudes of periodic solutions under resonances are the main reason why the system is difficult to control.

中文翻译：

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共振条件下椭圆轨道系留卫星系统的动力学与控制

本文研究了束缚卫星系统（TSS）在椭圆轨道上的共振运动。进行扰动分析以获得所有可能的共振类型和相应的参数关系，包括内部共振和参量激发共振。此外，给出了共振参数域，为系统的参数设计提供参考。数值研究了共振条件下系统的分叉行为。结果表明，与非谐振情况相比，谐振情况更容易进入混沌运动。扩展时延自动同步（ETDAS）方法用于将混沌运动稳定到周期性。稳定性分析表明，在共振情况下，稳定域变得比非共振情况下的稳定域小。最后，