Periodic Coulomb dynamics of three equal negative charges in the field of six equal positive charges fixed in octahedron vertices

UDC 517.9 We find periodic solutions of the Coulomb equations of motion for three equal negative point charges in the field of six equal positive point charges fixed at the  vertices of a octahedron.  The system possesses an equilibrium configuration.&n...

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Datum:2023
Hauptverfasser: Skrypnik, W., Skrypnyk, Volodymyr, Скрипник, Володимир
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2023
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/7263
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:UDC 517.9 We find periodic solutions of the Coulomb equations of motion for three equal negative point charges in the field of six equal positive point charges fixed at the  vertices of a octahedron.  The system possesses an equilibrium configuration.  The center Lyapunov  theorem is applied.
DOI:10.37863/umzh.v75i2.7263