Coulomb planar periodic motion of \(n\) equal charges in the field of \(n\) equal positive charges fixed at a line and constant magnetic field

DOI10.1155/2018/2548074zbMath1406.78004OpenAlexW2801677784MaRDI QIDQ1629173

Wolodymyr Skrypnik

Publication date: 11 December 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/2548074

zbMATH Keywords

periodic solutionchargesCoulomb planar periodic motion

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Motion of charged particles (78A35)

Related Items (5)

Periodic Coulomb dynamics of three identical negative charges in the field of four fixed identical positive charges ⋮ Periodic Coulomb dynamics of three identical negative charges in the field of six identical positive charges fixed at the vertices of octahedron ⋮ Periodic Coulomb dynamics of two identical negative charges in the field of four identical fixed positive charges ⋮ Periodic Coulomb dynamics of two identical negative charges in the field of six fixed identical positive charges ⋮ Periodic Coulomb dynamics of three equal negative charges in the field of equal positive charges fixed in octagon vertices

Cites Work

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• On exact solutions of Coulomb equation of motion of planar charges
• The \(n\)-centre problem of celestial mechanics for large energies
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• Coulomb dynamics near equilibrium of two equal negative charges in the field of two fixed identical positive charges
• On the integrability of the \(n\)-centre problem
• Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line
• On holomorphic solutions of the Darwin equations of motion of point charges
• On regular polygon solutions of Coulomb equation of motion of n + 2 charges n of which are planar
• The problem of two fixed centers: bifurcation diagram for positive energies
• Über eine periodische Lösung im ebenen Dreikörperproblem

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