On the Lagrange Stability of Motion in the Three-Body Problem

For the three-body problem, we study the relationship between the Hill stability of a fixed pair of mass points and the Lagrange stability of a system of three mass points. We prove the corresponding theorem establishing sufficient conditions for the Lagrange stability and consider a corollary of th...

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Bibliographic Details
Date:2005
Main Authors: Sosnitskii, S. P., Сосницький, С. П.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2005
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3672
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal