Periodic Coulomb dynamics of two equal negative charges in the field of four equal positive fixed charges
UDC 517.9 We found periodic solutions of the Coulomb $d$-dimensional $(d=1,2,3)$ equation of motion for two equal negative point charges in the field of four equal positive point charges fixed at vertices of a parallelepiped. These systems possess an equilibrium configuration. The periodic solutions...
Збережено в:
| Дата: | 2020 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2020
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/741 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.9
We found periodic solutions of the Coulomb $d$-dimensional $(d=1,2,3)$ equation of motion for two equal negative point charges in the field of four equal positive point charges fixed at vertices of a parallelepiped. These systems possess an equilibrium configuration. The periodic solutions are obtained with the help of Lyapunov's central theorem. |
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| DOI: | 10.37863/umzh.v72i10.741 |