Periodic Coulomb dynamics of three equal negative charges in the field of fixed four equal positive charges

  • W. I. Skrypnik Institute of Mathematics of the National Academy of sciences of Ukraine

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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Published
17.12.2021
How to Cite
Skrypnik, W. I. “Periodic Coulomb Dynamics of Three Equal Negative Charges in the Field of Fixed Four Equal Positive Charges”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 12, Dec. 2021, pp. 1698 -13, doi:10.37863/umzh.v73i12.6550.
Section
Research articles