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

Departament de Matemàtiques

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27 Cites (Scopus)

Resum

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.

Idioma original	Anglès
Pàgines (de-a)	1157-1175
Revista	Discrete and Continuous Dynamical Systems- Series A
Volum	33
Número	3
DOIs	https://doi.org/10.3934/dcds.2013.33.1157
Estat de la publicació	Publicada - 1 de gen. 2013

Accés al document

10.3934/dcds.2013.33.1157

Altres arxius i enllaços

https://www.scopus.com/pages/publications/84867865498

Com citar-ho

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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.",

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

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

year = "2013",

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doi = "10.3934/dcds.2013.33.1157",

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AU - Simó, Carles

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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

UR - https://www.scopus.com/pages/publications/84867865498

U2 - 10.3934/dcds.2013.33.1157

DO - 10.3934/dcds.2013.33.1157

M3 - Article

SN - 1078-0947

VL - 33

SP - 1157

EP - 1175

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 3