Hyperbolic relative equilibria for the negative curved \(n\)-body problem

DOI10.1016/j.cnsns.2018.07.022OpenAlexW4245807705MaRDI QIDQ2206121

Juan Manuel Sánchez-Cerritos, Ernesto Pérez-Chavela

Publication date: 21 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08863

zbMATH Keywords

relative equilibriacelestial mechanicscurved \(n\)-body problem

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (5)

Equilibrium points in restricted problems on S2 and H2 ⋮ Stability of regular polygonal relative equilibria on \(\mathbb{S}^2\) ⋮ Classification of positive elliptic-elliptic rotopulsators on Clifford tori ⋮ Continuation of relative equilibria in the \(n\)-body problem to spaces of constant curvature ⋮ Compactness and index of ordinary central configurations for the curved \(n\)-body problem

Cites Work

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• On the stability of the Lagrangian homographic solutions in a curved three-body problem on \(\mathbb{S}^2\)
• Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2
• An intrinsic approach in the curved $n$-body problem. The positive curvature case
• Eulerian relative equilibria of the curved 3-body problems in 𝐒²
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• Dynamics and Regularization of the Kepler Problem on Surfaces of Constant Curvature
• Euler-type Relative Equilibria and their Stability in Spaces of Constant Curvature
• Polygonal homographic orbits of the curved $n$-body problem

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