On oscillatory symmetric motions in the three-body problem

• Datum: 2017
• Hauptverfasser: Sosnitsky, S. P., Сосницкий, С. П., Сосницький, С. П.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут математики НАН України 2017
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/58
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We study a special case of the three-body problem where two of the bodies are the same mass and there is a manifold of symmetrical motions. We consider sufficient conditions of nonexistence of oscillating symmetric motions. To analyze stability, we substantially rely on the structure of the manifold...