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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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Bibliográfalaš dieđut
Váldodahkki: Tsygvintsev, Alexei
Materiálatiipa: Artigo
Giella:Inglês
Almmustuhtton: Académie des sciences 2024-11-01
Ráidu:Comptes Rendus. Mathématique
Fáttát:
Liŋkkat:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.683/
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