On the stability of satellites at unstable libration points of sun–planet–moon systems
On the stability of satellites at unstable libration points of sun–planet–moon systems
复制标题
日-行星-月系统不稳定平动点卫星的稳定性研究
DOI：
10.1016/j.cnsns.2021.106053
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发表时间：
2022
影响因子：
3.9
通讯作者：
Hernandez, Rigoberto
中科院分区：
文献类型：
--
作者：
Reiff, Johannes;Zatsch, Jonas;Main, Jörg;Hernandez, Rigoberto
太阳-行星系统的五个平动点是稳定或不稳定的固定位置，卫星或小行星可以相对于两个轨道天体保持固定。一颗围绕行星运行的卫星会对系统产生一个依赖于时间的扰动。在这里，我们解决的意义上不变的结构仍然存在。我们采用了过渡态理论先前开发的周期性驱动的系统与秩-1鞍的化学反应的背景下。我们发现，卫星可以停在一个所谓的时间周期过渡态轨道-这是一个轨道限制在附近的平动点L2无限长的时间-和调查的稳定性。
The five libration points of a sun–planet system are stable or unstable fixed positions at which satellites or asteroids can remain fixed relative to the two orbiting bodies. A moon orbiting around the planet causes a time-dependent perturbation on the system. Here, we address the sense in which invariant structure remains. We employ a transition state theory developed previously for periodically driven systems with a rank-1 saddle in the context of chemical reactions. We find that a satellite can be parked on a so-called time-periodic transition state trajectory – which is an orbit restricted to the vicinity of the libration point L2 for infinitely long time – and investigate the stability properties of that orbit.