Relative equilibria of the restricted three-body problem in curved spaces

DOI10.1007/s10569-016-9750-8zbMath1367.70024OpenAlexW2576517881MaRDI QIDQ2011615

Regina Martínez, Carles Simó

Publication date: 4 August 2017

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-016-9750-8

zbMATH Keywords

bifurcations\(N\)-body problem in curved spaceschanges of spectral stabilityrestricted three body problem in curved spaces: relative equilibriatotality of solutions

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (max. 100)

Regularization of the circular restricted three body problem on surfaces of constant curvature ⋮ Central configurations of the curved \(N\)-body problem ⋮ The restricted three body problem on surfaces of constant curvature ⋮ Stability of regular polygonal relative equilibria on \(\mathbb{S}^2\) ⋮ The curved symmetric 2- and 3-center problem on constant negative surfaces ⋮ Hill four-body problem with oblate bodies: an application to the Sun-Jupiter-Hektor-Skamandrios system ⋮ Stability of the polar equilibria in a restricted three-body problem on the sphere ⋮ Continuation of relative equilibria in the \(n\)-body problem to spaces of constant curvature ⋮ McGehee blow-up of the Kepler problem on surfaces of constant curvature ⋮ Compactness and index of ordinary central configurations for the curved \(n\)-body problem ⋮ Hyperbolic regularization of the restricted three-body problem on curved spaces ⋮ Relative Equilibria in curved restricted 4-body problems ⋮ Bifurcations of the Lagrangian orbits from the classical to the curved 3-body problem

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