Studying the stability of equilibrium solutions in the planar circular restricted four-body problem

• Datum: 2007
• ISSN: 1562-3076
• Hauptverfasser: Grebenikov, E.A., Gadomski, L., Prokopenya, A.N.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2007
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/7243
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Studying the stability of equilibrium solutions in the planar circular restricted four-body problem / E.A. Grebenikov, L. Gadomski, A.N. Prokopenya // Нелінійні коливання. — 2007. — Т. 10, № 1. — С. 66-82. — Бібліогр.: 17 назв. — англ.

The Newtonian circular restricted four-body problem is considered.We have obtained nonlinear algebraic equations, determining equilibrium solutions in the rotating frame, and found six possible equilibrium configurations of the system. Studying the stability of equilibrium solutions, we have proved...