Periodic Coulomb dynamics of three equal negative charges in the field of fixed four equal positive charges
UDC 517.9 We found periodic solutions of the Coulomb $d$-dimensional $(d = 1, 2, 3)$ equations of motion for three equal negative point charges in the field of four equal positive point charges fixed at the vertices of a rectangle. These systems possess an equilibrium configuration. The periodic sol...
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| Datum: | 2021 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2021
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6550 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.9
We found periodic solutions of the Coulomb $d$-dimensional $(d = 1, 2, 3)$ equations of motion for three equal negative point charges in the field of four equal positive point charges fixed at the vertices of a rectangle. These systems possess an equilibrium configuration. The periodic solutions are obtained with the help of the Lyapunov central theorem.
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| DOI: | 10.37863/umzh.v73i12.6550 |