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On an Application of the Hill Approach to the General Case of the Three-body Problem

In this work, we use the energy and angular momentum integrals as a resource for applying Hill’s approach to the general three-body problem. As a result, we obtain theorems on the Lagrange stability and Hill stability in the general three-body problem. Also, specific features of the general and rest...

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Bibliographic Details
Published in:The Astronomical journal 2024-05, Vol.167 (5), p.198
Main Author: Sosnitskii, Stepan P.
Format: Article
Language:English
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Summary:In this work, we use the energy and angular momentum integrals as a resource for applying Hill’s approach to the general three-body problem. As a result, we obtain theorems on the Lagrange stability and Hill stability in the general three-body problem. Also, specific features of the general and restricted three-body problems are discussed.
ISSN:0004-6256
1538-3881
DOI:10.3847/1538-3881/ad335d