Regularization of the circular restricted three body problem on surfaces of constant curvature
type: Item
instance of: scholarly article
title: Regularization of the circular restricted three body problem on surfaces of constant curvature
zbMATH Open document ID: 1446.70021
author: J. Andrade
author: Ernesto Perez-Chavela
author: Claudio Vidal
published in: Journal of Dynamics and Differential Equations
publication date: 2018-11-06T00:00:00Z
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70G60
Mathematics Subject Classification ID: 37D40
zbMATH DE Number: 6973966
zbMATH Keywords: the restricted three body problem
zbMATH Keywords: surfaces of constant curvature
zbMATH Keywords: Hamiltonian formulation
zbMATH Keywords: binary collision
zbMATH Keywords: local and global regularization
zbMATH Keywords: Hill's region
MaRDI profile type: Publication
full work available at URL: s10884-017-9619-x
OpenAlex ID: W2764037983
cites work: Global Regularization of a Restricted Four-Body Problem
cites work: Dynamics and Regularization of the Kepler Problem on Surfaces of Constant Curvature
cites work: The restricted three body problem on surfaces of constant curvature
cites work: Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2
cites work: On the singularities of the curved $n$-body problem
cites work: Relative equilibria of the curved \(N\)-body problem.
cites work: On the stability of tetrahedral relative equilibria in the positively curved 4-body problem
cites work: The \(n\)-body problem in spaces of constant curvature. II: Singularities
cites work: Libration points in spaces \(S^2\) and \(L^2\)
cites work: Kepler's problem in constant curvature spaces
cites work: Relative equilibria of the restricted three-body problem in curved spaces
cites work: Q5633692
cites work: Q5369428
DOI: 10.1007/S10884-017-9619-X
description: scientific article; zbMATH DE number 6973966