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

被引：0
|
作者：
WanKi Cho
Hyojin Jung
GeonWoo Kim
机构：
[1] Seoul National University,Department of Mathematical Sciences
来源：
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg | 2020年 / 90卷
关键词：
Spatial circular restricted 3-body problem; Contact geometry; Celestial mechanics; 53D35 (70F07, 70G45);
D O I：
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中图分类号：
学科分类号：
摘要：
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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页码：161 / 181
页数：20
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