Periodic Coulomb dynamics of two equal negative charges in the field of four equal positive fixed charges

• Date: 2020
• Main Authors: Skrypnik, W. I., Skrypnik, Volodymyr, Скрипник , В. І.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/741
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...