Abstract

The efficiency of using the direct Lyapunov method for ensuring the stability of motion in compact invariant sets of finite-dimensional dynamical systems is shown. In the linear model of the restricted three-body problem, the possibility of ensuring the asymptotic stability of the periodic motion of a spacecraft (SC) in the vicinity of the collinear Lagrange point L2 using light pressure forces without the consumption of the working fluid is considered. The required area of control surfaces is estimated depending on the mass of the SC.

中文翻译：

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直接李雅普诺夫法解决动态系统紧最小集稳定性及拉格朗日点L2附近晕轨道形成问题

摘要

显示了使用直接李亚普诺夫方法确保有限维动力系统的紧不变集中运动稳定性的效率。在受限三体问题的线性模型中，在不消耗工作流体的情况下，利用轻压力保证航天器（SC）在共线拉格朗日点L2附近的周期性运动渐近稳定性的可能性为经过考虑的。所需的控制面面积根据 SC 的质量进行估计。