On the hill stability of motion in the three-body problem

We consider the special case of the three-body problem where the mass of one of the bodies is considerably smaller than the masses of the other two bodies and investigate the relationship between the Lagrange stability of a pair of massive bodies and the Hill stability of the system of three bodies....

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Bibliographic Details
Date:2008
Main Authors: Sosnitskii, S. P., Сосницький, С. П.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2008
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3258
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal