On oscillatory symmetric motions in the three-body problem

• Дата: 2017
• Автори: Sosnitsky, S. P., Сосницкий, С. П., Сосницький, С. П.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут математики НАН України 2017
• Онлайн доступ: 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...