Quasi‐Exact Coulomb Dynamics of n Charges n − 1 of Which Are Equal

Wolodymyr Skrypnik

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

Abstract: For n ≥ 3 point charges n − 1 of which are negative and equal quasi‐exact periodic solutions of their Coulomb equation of motion are found. These solutions describe a motion of the negative charges around a coordinate axis in such a way that their coordinates coincide with vertices of a regular polygon in planes perpendicular to the axis along which the positive charge moves. The Weinstein and center Lyapunov theorems are utilized.

Date: 2017
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https://doi.org/10.1155/2017/6751025

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:6751025

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