On orbital instability of triangular Lagrange motions in the three-body problem

• Date: 2017
• Author Affiliations: С. П. Сосницький — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Sosnitsky, S. P., Сосницкий, С. П., Сосницький, С. П.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2017
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/57
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

For the three-body problem (mass points), the orbital stability of stationary triangular Lagrangian motions is investigated. A theorem on the orbital instability of stationary triangular solutions related to circular orbits of mass points is proved.