Velocity Syzygies and Bounding Syzygy Moments in the Planar Three-Body Problem
We consider the Newtonian planar three-body problem, defining a syzygy (velocity syzygy) as a configuration where the positions (velocities) of the three bodies become collinear. We demonstrate that if the total energy is negative, every collision-free solution has an infinite number of velocity syz...
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| Médium: | Artigo |
| Jazyk: | Inglês |
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Académie des sciences
2024-11-01
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| Edice: | Comptes Rendus. Mathématique |
| Témata: | |
| On-line přístup: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.683/ |
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