@article{Skrypnik_2021, title={Periodic Coulomb dynamics of three equal negative charges in the field of fixed four equal positive charges}, volume={73}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/6550}, DOI={10.37863/umzh.v73i12.6550}, abstractNote={<p>UDC 517.9</p> <p>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. <br>These systems possess an equilibrium configuration. <br>The periodic solutions are obtained with the help of the Lyapunov central theorem.</p> <p>&nbsp;</p&gt;}, number={12}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Skrypnik, W. I.}, year={2021}, month={Dec.}, pages={1698 - 1713} }