Periodic Coulomb dynamics of two equal negative charges in the field of four equal positive fixed charges
Abstract
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 are obtained with the help of Lyapunov's central theorem.
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Copyright (c) 2020 Volodymyr Skrypnyk
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