Coulomb planar periodic motion of \(n\) equal charges in the field of \(n\) equal positive charges fixed at a line and constant magnetic field
type: Item
instance of: scholarly article
title: Coulomb planar periodic motion of \(n\) equal charges in the field of \(n\) equal positive charges fixed at a line and constant magnetic field
zbMATH Open document ID: 1406.78004
DOI: 10.1155/2018/2548074
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: We consider a neutral Coulomb planar system of \(n\) equal negative charges in a constant magnetic field and a field of \(n\) equal fixed positive charges and construct a periodic solution of the equation of motion such that each negative charge is close to its own positive fixed charge.
Mathematics Subject Classification ID: 78A35
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 6991941
zbMATH Keywords: Coulomb planar periodic motion
zbMATH Keywords: charges
zbMATH Keywords: periodic solution
author: W. I. Skrypnik
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2548074
OpenAlex ID: W2801677784
cites work: On the holomorphic solutions of Hamiltonian equations of motion of point charges
cites work: On holomorphic solutions of the Darwin equations of motion of point charges
cites work: Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line
cites work: On exact solutions of Coulomb equation of motion of planar charges
cites work: On regular polygon solutions of Coulomb equation of motion of \(n + 2\) charges \(n\) of which are planar
cites work: Q4070368
cites work: Über eine periodische Lösung im ebenen Dreikörperproblem
cites work: Coulomb dynamics near equilibrium of two equal negative charges in the field of two fixed identical positive charges
cites work: Two-dimensional Coulomb dynamics of two and three equal negative charges in the field of two equal fixed positive charges
cites work: The problem of two fixed centers: bifurcation diagram for positive energies
cites work: The \(n\)-centre problem of celestial mechanics for large energies
cites work: On the integrability of the \(n\)-centre problem
description: scientific article; zbMATH DE number 6991941