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

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

27 Citas (Scopus)

Resumen

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	Inglés
Páginas (desde-hasta)	1157-1175
Publicación	Discrete and Continuous Dynamical Systems- Series A
Volumen	33
N.º	3
DOI	https://doi.org/10.3934/dcds.2013.33.1157
Estado	Publicada - 1 ene 2013

Acceder al documento

10.3934/dcds.2013.33.1157

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

Citar esto

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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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DO - 10.3934/dcds.2013.33.1157

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JO - Discrete and Continuous Dynamical Systems- Series A

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