Quasi-exact Coulomb dynamics of \(n\) charges \(n\,-1\) of which are equal
type: Item
instance of: scholarly article
title: Quasi-exact Coulomb dynamics of \(n\) charges \(n\,-1\) of which are equal
zbMATH Open document ID: 1401.78006
DOI: 10.1155/2017/6751025
author: W. I. Skrypnik
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: For \(n \geq 3\), 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.
Mathematics Subject Classification ID: 78A35
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 6962653
zbMATH Keywords: Coulomb dynamics
zbMATH Keywords: Coulomb equation
zbMATH Keywords: Weinstein theorem
zbMATH Keywords: center Lyapunov theorem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6751025
OpenAlex ID: W2591725205
Wikidata QID: Q59142457
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description: scientific article; zbMATH DE number 6962653