期刊论文详细信息
JOURNAL OF DIFFERENTIAL EQUATIONS 卷:260
Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2
Article
Garcia-Naranjo, Luis C.1  Marrero, Juan C.2  Perez-Chavela, Ernesto3  Rodriguez-Olmos, Miguel4 
[1] IIMAS UNAM, Dept Matemat & Mecan, Apdo Postal 20-726, Mexico City 01000, DF, Mexico
[2] Univ La Laguna, ULL CSIC Geometria Diferencial & Mecan Geometr, Dept Matemat Estadist & IO, Secc Matemat, Tenerife, Canary Islands, Spain
[3] ITAM, Dept Matemat, Rio Hondo 1, Mexico City 01080, DF, Mexico
[4] Univ Politecn Cataluna, Dept Matemat, C Jordi Girona 31, ES-08034 Barcelona, Spain
关键词: Relative equilibria;    Non-linear stability;    Two-body problem;    Hyperbolic space;    Symmetry Lie group;   
DOI  :  10.1016/j.jde.2015.12.044
来源: Elsevier
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【 摘 要 】

We classify and analyze the stability of all relative equilibria for the two-body problem in the hyperbolic space of dimension 2 and we formulate our results in terms of the intrinsic Riemannian data of the problem. (C) 2015 Elsevier Inc. All rights reserved.

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