The two fixed centers: an exceptional integrable system
type: Item
instance of: scholarly article
title: The two fixed centers: an exceptional integrable system
zbMATH Open document ID: 1137.70008
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2005-03-01T00:00:00Z
review text: The authors focus their interest on the two-dimensional problem, where the trajectory of the third body lies in a plane. In spite of the fact that there are many publications on the problem and its generalizations (a review of 22 papers is presented in the article), the phase portrait of the corresponding proper dynamical system was not constructed. Here the authors classify the trajectories into periodic and quasi-periodic ones, and identify collision orbits.
reviewed by: Sergei Georgievich Zhuravlev
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70H06
Mathematics Subject Classification ID: 70F16
zbMATH DE Number: 2140059
zbMATH Keywords: collision orbits
zbMATH Keywords: periodic orbits
zbMATH Keywords: quasi-periodic orbits
author: Harry Varvoglis
author: Ch. L. Vozikis
author: Karl Wodnar
MaRDI profile type: Publication
DOI: 10.1023/B:CELE.0000043573.52985.F9
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description: scientific article; zbMATH DE number 2140059