On the Lagrange Stability of Motion in the Three-Body Problem

• Date: 2005
• Main Authors: Sosnitskii, S. P., Сосницький, С. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3672
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the three-body problem, we study the relationship between the Hill stability of a fixed pair of mass points and the Lagrange stability of a system of three mass points. We prove the corresponding theorem establishing sufficient conditions for the Lagrange stability and consider a corollary of th...