Periodic Coulomb dynamics of two equal negative charges in the field of six equal positive fixed charges

  • V. I. Skrypnyk Institute of Mathematics of the National Academy of sciences of Ukraine
Keywords: Equilibrium, charges, Coulomb, periodic motion


UDC 517.9

Periodic solutions of the Coulomb $d$-dimensional $(d=1,2,3)$ equation of motion for two equal negative point charges in the field of six equal positive point charges fixed at vertices of a convex symmetric hexagon and octahedron are found.
These systems possess an equilibrium configuration.
Their periodic solutions are obtained with the help of the Lyapunov central limit theorem.


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How to Cite
Skrypnyk, V. I. “Periodic Coulomb Dynamics of Two Equal Negative Charges in the Field of Six Equal Positive Fixed Charges”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, no. 12, Dec. 2020, pp. 1682-96, doi:10.37863/umzh.v72i12.917.
Research articles