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Metastable trajectories in free-fall three-body problem

机译:亚稳轨迹在自由落体三体问题

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We consider the free-fall equal-mass three-body problem. The dynamical evolution of about 300,000 triple systems was considered. We found about 9,000 triple systems where the motions are limited within a finite region during a long time. These regions are concentrated to the zones of regular motions in the vicinities of stable periodic orbits. Such triple systems were named as metastable. Triple system leaves the metastable regime after some time and its evolution is ended by escape of one body. The set of initial configurations corresponding to metastable systems occupies a whole homology region, besides the zones of fast escapes. The structure of this set is rather complicated. In particular, there are some fractal clumps of initial configurations corresponding to metastable systems.
机译:我们考虑自由落体同等质量的三体问题。考虑了大约300,000个三重系统的动态演化。我们发现了大约9,000个三倍的系统,其中运动在很长一段时间内有限区域。将这些区域集中在稳定的周期性轨道的附近的规则运动区域。这种三重系统被命名为亚稳态。在一段时间后,三重系统留下了亚稳态的制度,并且其演变是通过逃离一体的。除了快速逃逸的区域之外,对应于亚稳系统的初始配置占据了整个同源区域。该组的结构相当复杂。特别地,对应于亚稳系统存在一些分形块的初始配置。

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