Quasi-periodic Solutions of the Spatial Lunar Three-body Problem
Lei Zhao
TL;DR
This paper proves the existence of multiple quasi-periodic orbits in the spatial lunar three-body problem using KAM theory, extending the understanding of its complex dynamical behavior.
Contribution
It applies KAM theorem to the quadrupolar approximation, establishing new families of quasi-periodic solutions in the spatial lunar three-body problem.
Findings
Existence of several families of quasi-periodic orbits confirmed.
Application of KAM theorem to lunar three-body problem.
Advancement in understanding the system's long-term stability.
Abstract
By application of KAM theorem to Lidov-Ziglin's global study of the quadrupolar approximation of the spatial lunar three-body problem, we establish the existence of several families of quasi-periodic orbits in the spatial lunar three-body problem.
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