Periodic Coulomb dynamics of three equal negative charges in the field of fixed four equal positive charges
Abstract
UDC 517.9
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.
These systems possess an equilibrium configuration.
The periodic solutions are obtained with the help of the Lyapunov central theorem.
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