On the stability of the lagrangian homographic solutions in a curved three-body problem on S 2

Regina Martínez; Carles Simó

doi:10.3934/dcds.2013.33.1157

On the stability of the lagrangian homographic solutions in a curved three-body problem on S ²

Regina Martínez, Carles Simó

Department of Mathematics

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

22 Citations (Scopus)

Abstract

The problem of three bodies with equal masses in S 2 is known to have Lagrangian homographic orbits. We study the linear stability and also a "practical" (or effective) stability of these orbits on the unit sphere.

Original language	English
Pages (from-to)	1157-1175
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	33
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2013.33.1157
Publication status	Published - 1 Jan 2013

Keywords

Curved 3-body problem
Homographic orbits
Practical stability
Stability of solutions

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10.3934/dcds.2013.33.1157

Cite this

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abstract = "The problem of three bodies with equal masses in S 2 is known to have Lagrangian homographic orbits. We study the linear stability and also a {"}practical{"} (or effective) stability of these orbits on the unit sphere.",

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KW - Curved 3-body problem

KW - Homographic orbits

KW - Practical stability

KW - Stability of solutions

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