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

被引：3

作者：

Cho, WanKi ^{[1
]}

Jung, Hyojin ^{[1
]}

Kim, GeonWoo ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul, South Korea

来源：

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2020年 / 90卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Spatial circular restricted 3-body problem; Contact geometry; Celestial mechanics;

D O I：

10.1007/s12188-020-00222-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：161 / 181

页数：21

共 11 条

[1]

Abraham R., 1978, Foundations of mechanics, V2

[2] Contact geometry of the restricted three-body problem [J].