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

20 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

Access to Document

10.3934/dcds.2013.33.1157

Cite this

@article{a778d7cee30a4240bb3787545a8731c1,

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

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.",

keywords = "Curved 3-body problem, Homographic orbits, Practical stability, Stability of solutions",

author = "Regina Mart{\'i}nez and Carles Sim{\'o}",

year = "2013",

month = jan,

day = "1",

doi = "10.3934/dcds.2013.33.1157",

language = "English",

volume = "33",

pages = "1157--1175",

number = "3",

}

TY - JOUR

T1 - On the stability of the lagrangian homographic solutions in a curved three-body problem on S 2

AU - Martínez, Regina

AU - Simó, Carles

PY - 2013/1/1

Y1 - 2013/1/1

N2 - 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.

AB - 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.

KW - Curved 3-body problem

KW - Homographic orbits

KW - Practical stability

KW - Stability of solutions

U2 - 10.3934/dcds.2013.33.1157

DO - 10.3934/dcds.2013.33.1157

M3 - Article

VL - 33

SP - 1157

EP - 1175

IS - 3