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

Wan Ki Cho; Hyojin Jung; Geon Woo Kim

doi:10.1007/s12188-020-00222-y

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

Wan Ki Cho, Hyojin Jung, Geon Woo Kim

School of Natural Sciences

Seoul National University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	161-181
Number of pages	21
Journal	Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
Volume	90
Issue number	2
DOIs	https://doi.org/10.1007/s12188-020-00222-y
State	Published - Dec 2020

Keywords

Celestial mechanics
Contact geometry
Spatial circular restricted 3-body problem

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10.1007/s12188-020-00222-y

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title = "The contact geometry of the spatial circular restricted 3-body problem",

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

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Keywords

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