On the hill stability of motion in the three-body problem

• Datum: 2008
• Hauptverfasser: Sosnitskii, S. P., Сосницький, С. П.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3258
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider the special case of the three-body problem where the mass of one of the bodies is considerably smaller than the masses of the other two bodies and investigate the relationship between the Lagrange stability of a pair of massive bodies and the Hill stability of the system of three bodies....