The contact geometry of the spatial circular restricted 3-body problem

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2020-09-10 DOI:10.1007/s12188-020-00222-y

WanKi Cho, Hyojin Jung, GeonWoo Kim

引用次数: 6

Abstract

We show that a hypersurface of the regularized, spatial circular restricted three-body problem is of contact type whenever the energy level is below the first critical value (the energy level of the first Lagrange point) or if the energy level is slightly above it. A dynamical consequence is that there is no blue sky catastrophe in this energy range.

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空间圆形受限三体问题的接触几何

我们证明，当能级低于第一个临界值(第一个拉格朗日点的能级)或略高于它时，正则化的空间圆形受限三体问题的超曲面是接触型的。一个动力学结果是，在这个能量范围内没有蓝天灾难。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.