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Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2

Article ID Journal Published Year Pages File Type
4609584 Journal of Differential Equations 2016 30 Pages PDF
Abstract

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.

Keywords
37C4037J6070F2570G45Non-linear stabilityHyperbolic spaceTwo-body problem
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2
Authors
Luis C. García-Naranjo, Juan C. Marrero, Ernesto Pérez-Chavela, Miguel Rodríguez-Olmos,
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Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
37C40
37J60
70F25
70G45
Non-linear stability
Hyperbolic space
Two-body problem
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
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