Transversal ejection-collision orbits for the restricted problem and the Hill's problem with applications
type: Item
instance of: scholarly article
title: Transversal ejection-collision orbits for the restricted problem and the Hill's problem with applications
zbMATH Open document ID: 0661.70022
DOI: 10.1016/0022-0396(88)90019-8
author: Ernesto A. Lacomba
author: Jaume Llibre
published in: Journal of Differential Equations
publication date: 1988-01-01T00:00:00Z
review text: The goal of the paper is to show that the restricted problem and Hill's problem have transversal ejection-collision orbits. In a previous paper by the second author and \textit{A. J. Martinez} [Celestial Mech. 35, 113--128 (1985; Zbl 0572.70006)] was proved that the restricted problem has ejection-collision orbits. Here it is proved that these orbits are transversal for the restricted problem. The existence of transversal ejection-collision orbits for the Hill's problem is shown numerically. As an application of the existence of transversal ejection-collision orbits it is shown that the restricted problem and Hill's problem have no \(C^1\)-extendable regular integrals.
reviewed by: Bozhidar Cheshankov
Mathematics Subject Classification ID: 70F35
Mathematics Subject Classification ID: 70F07
zbMATH DE Number: 4081012
zbMATH Keywords: Hill's problem
zbMATH Keywords: ejection-collision orbits
MaRDI profile type: Publication
full work available at URL: 0022-0396(88)90019-8
OpenAlex ID: W2013959556
cites work: Q4174811
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description: scientific article; zbMATH DE number 4081012