Relative equilibria of the restricted three-body problem in curved spaces
type: Item
instance of: scholarly article
title: Relative equilibria of the restricted three-body problem in curved spaces
zbMATH Open document ID: 1367.70024
author: Regina Martínez
author: Carles Simó
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2017-08-04T00:00:00Z
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 70F10
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 70K42
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 65H20
zbMATH DE Number: 6756607
zbMATH Keywords: \(N\)-body problem in curved spaces
zbMATH Keywords: restricted three body problem in curved spaces: relative equilibria
zbMATH Keywords: totality of solutions
zbMATH Keywords: bifurcations
zbMATH Keywords: changes of spectral stability
MaRDI profile type: Publication
full work available at URL: s10569-016-9750-8
OpenAlex ID: W2576517881
cites work: Two-body problem on a sphere. Reduction, stochasticity, periodic orbits
cites work: The restricted two-body problem and the Kepler problem in the constant curvature spaces.
cites work: Relative equilibria of the curved \(N\)-body problem.
cites work: Polygonal homographic orbits of the curved $n$-body problem
cites work: Relative equilibria in the 3-dimensional curved \(n\)-body problem
cites work: The Classical N-body Problem in the Context of Curved Space
cites work: Bifurcations of the Lagrangian orbits from the classical to the curved 3-body problem
cites work: On the stability of tetrahedral relative equilibria in the positively curved 4-body problem
cites work: Homographic solutions of the curved 3-body problem
cites work: Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2
cites work: Libration points in spaces \(S^2\) and \(L^2\)
cites work: Kepler's problem in constant curvature spaces
cites work: Q4858483
cites work: Stability diagram for 4D linear periodic systems with applications to homographic solutions
cites work: Analysis of the stability of a family of singular-limit linear periodic systems in \(\mathbb {R}^4\). Applications
cites work: On the stability of the Lagrangian homographic solutions in a curved three-body problem on \(\mathbb{S}^2\)
cites work: Q4070368
cites work: Practical Stability Domains Near L 4,5 in the Restricted Three-Body Problem: Some Preliminary Facts
cites work: Q5369428
cites work: Eulerian relative equilibria of the curved 3-body problems in 𝐒²
DOI: 10.1007/S10569-016-9750-8
description: scientific article; zbMATH DE number 6756607