TY - JOUR AU - W. I. Skrypnik PY - 2021/12/17 Y2 - 2024/03/28 TI - Periodic Coulomb dynamics of three equal negative charges in the field of fixed four equal positive charges JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 73 IS - 12 SE - Research articles DO - 10.37863/umzh.v73i12.6550 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/6550 AB - UDC 517.9We 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.  ER -