The effect of singularities of the potential energy on the integrability of mechanical systems
type: Item
instance of: scholarly article
title: The effect of singularities of the potential energy on the integrability of mechanical systems
zbMATH Open document ID: 0587.70017
DOI: 10.1016/0021-8928(84)90128-X
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The effect of potential energy singularities on the existence of analytic first integrals of mechanical systems with two degrees of freedom is investigated. Applications to the restricted many-body problem are presented.
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 70F10
Mathematics Subject Classification ID: 70C20
Mathematics Subject Classification ID: 37G99
zbMATH DE Number: 3943093
zbMATH Keywords: singular point of potential energy of Newtonian type
zbMATH Keywords: potential energy singularities
zbMATH Keywords: existence of analytic first integrals
zbMATH Keywords: mechanical systems with two degrees of freedom
zbMATH Keywords: restricted many-body problem
author: S. V. Bolotin
MaRDI profile type: Publication
cites work: Q3873613
cites work: Final motions in the three-body problem and symbolic dynamics
cites work: Q3343480
cites work: Q5557719
description: scientific article; zbMATH DE number 3943093