Non-integrability of restricted two body problems in constant curvature spaces
type: Item
instance of: scholarly article
title: Non-integrability of restricted two body problems in constant curvature spaces
zbMATH Open document ID: 1048.37052
author: Andrzej J. Maciejewski
author: Maria Przybylska
published in: Regular and Chaotic Dynamics
publication date: 2004-09-06T00:00:00Z
review text: The authors consider a restricted problem of two bodies in constant curvature spaces. The Newton and Hooke interactions between bodies are considered. For both types of interactions, the authors prove the nonintegrability of this problem in spaces with constant nonzero curvature. Their proof is based on the Morales-Ramis theory.
Mathematics Subject Classification ID: 37J30
Mathematics Subject Classification ID: 70H07
Mathematics Subject Classification ID: 34M35
zbMATH DE Number: 2097050
zbMATH Keywords: particular solution
zbMATH Keywords: variational equation
zbMATH Keywords: nonintegrability
zbMATH Keywords: Fuchsian equation
MaRDI profile type: Publication
Wikidata QID: Q104405056
DOI: 10.1070/RD2003V008N04ABEH000254
description: scientific article; zbMATH DE number 2097050