Coulomb dynamics of three equal negative charges in field of fixed two equal positive charges

DOI10.1016/j.geomphys.2018.02.006zbMath1447.70008OpenAlexW2790143213MaRDI QIDQ1745685

Wolodymyr Skrypnik

Publication date: 18 April 2018

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.02.006

zbMATH Keywords

equilibriumquasi-periodic motionelimination of nodethree equal charges

Mathematics Subject Classification ID

Three-body problems (70F07) Connections of harmonic functions with differential equations in higher dimensions (31B35)

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

• On exact solutions of Coulomb equation of motion of planar charges
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• The \(n\)-centre problem of celestial mechanics for large energies
• The integrability of the \(n\)-center problem at high energies
• 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
• Normal modes for nonlinear Hamiltonian systems
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
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