On holomorphic solutions of the Darwin equations of motion of point charges

DOI10.1007/S11253-013-0798-2zbMath1285.30022OpenAlexW1978975681MaRDI QIDQ2440065

W. I. Skrypnyk

Publication date: 27 March 2014

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-013-0798-2

zbMATH Keywords

holomorphic solutionsDarwin equation

Mathematics Subject Classification ID

General topics in optics and electromagnetic theory (78A99) Miscellaneous topics of analysis in the complex plane (30E99)

Related Items (7)

Coulomb planar periodic motion of \(n\) equal charges in the field of \(n\) equal positive charges fixed at a line and constant magnetic field ⋮ On exact solutions of Coulomb equation of motion of planar charges ⋮ Two-dimensional Coulomb dynamics of two and three equal negative charges in the field of two equal fixed positive charges ⋮ Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line ⋮ Mechanical systems with singular equilibria and the Coulomb dynamics of three charges ⋮ On the post-Darwin approximation of the Maxwell-Lorentz equations of motion of point charges in the absence of neutrality ⋮ On regular polygon solutions of Coulomb equation of motion of n + 2 charges n of which are planar

Cites Work

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• On the holomorphic solutions of Hamiltonian equations of motion of point charges
• Slow motion of charges interacting through the Maxwell field

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