Asymptotic orbits and terminations of families in the Copenhagen problem
type: Item
instance of: scholarly article
title: Asymptotic orbits and terminations of families in the Copenhagen problem
zbMATH Open document ID: 0887.70011
DOI: 10.1007/BF00640201
author: E. A. Perdios
published in: Astrophysics and Space Science
publication date: 1998-05-25T00:00:00Z
review text: We present sample results from extensive calculations of families of periodic orbits in the Copenhagen \((m_1=m_2)\) restricted three-body problem which terminate with orbits asymptotic to equilibrium points or to periodic points. Heteroclinic asymptotic orbits of the Copenhagen problem are important as they combine in pairs to form infinite period terminations of families of periodic orbits. Such families are considered here as limiting cases of the photogravitational restricted problem with equal masses and radiation factors of primaries.
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 85A25
zbMATH DE Number: 1071633
zbMATH Keywords: high-order analysis
zbMATH Keywords: triangular points
zbMATH Keywords: heteroclinic asymptotic orbits
zbMATH Keywords: photogravitational restricted problem
MaRDI profile type: Publication
cites work: Homoclinic and heteroclinic solutions in the restricted three-body problem
cites work: On Brown's conjecture
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cites work: The stability of inner collinear equilibrium points in the photogravitational elliptic restricted problem
cites work: BURRAU'S PROBLEM OF THREE BODIES
cites work: The restricted 3-body problem with radiation pressure
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description: scientific article; zbMATH DE number 1071633