On some qualitative aspects in an elliptic bounded problem on three bodies

• Date: 2017
• Author Affiliations: C. П. Сосницький — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Sosnitsky, S. P., Сосницкий, C. П., Сосницький, C. П.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2017
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/340
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Within the framework of the elliptic restricted three-body problem, we find some specific features of motions of an infinitesimal particle. In particular, we establish that the particle can perform oscillatory motions relative to the rotational plane of the two remaining massive particles.