On exact solutions of Coulomb equation of motion of planar charges

DOI10.1016/j.geomphys.2015.08.012zbMath1334.78018OpenAlexW1186574268MaRDI QIDQ893258

Wolodymyr Skrypnik

Publication date: 13 November 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2015.08.012

zbMATH Keywords

Keplerian motionregular polygonCoulomb dynamics

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Motion of charged particles (78A35)

Related Items (10)

Coulomb planar periodic motion of \(n\) equal charges in the field of \(n\) equal positive charges fixed at a line and constant magnetic field ⋮ Two-dimensional Coulomb dynamics of two and three equal negative charges in the field of two equal fixed positive charges ⋮ Coulomb dynamics near equilibrium of two equal negative charges in the field of two fixed identical positive charges ⋮ Coulomb dynamics of three equal negative charges in field of fixed two equal positive charges ⋮ Quasi-exact Coulomb dynamics of \(n+1\) charges \(n-1\) of which are equal ⋮ Equilibrium, regular polygons, and Coulomb-type dynamics in different dimensions ⋮ Mechanical systems with singular equilibria and the Coulomb dynamics of three charges ⋮ Quasi-exact Coulomb dynamics of \(n\) charges \(n\,-1\) of which are equal ⋮ On regular polygon solutions of Coulomb equation of motion of n + 2 charges n of which are planar ⋮ Exact and quasi-exact Newton dynamics of \(n - 1\) and \(n\) bodies \(n - 1\) of which have equal masses

Cites Work

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