TY - JOUR
AU - W. I. Skrypnik
PY - 2020/10/25
Y2 - 2022/09/27
TI - Periodic Coulomb dynamics of two equal negative charges in the field of four equal positive fixed charges
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 72
IS - 10
SE - Research articles
DO - 10.37863/umzh.v72i10.741
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/741
AB - UDC 517.9We 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.
ER -