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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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Published in: | The Astronomical journal 2024-05, Vol.167 (5), p.198 |
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Main Author: | |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
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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. |
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ISSN: | 0004-6256 1538-3881 |
DOI: | 10.3847/1538-3881/ad335d |