Linear stability of relative equilibria in the charged three-body problem

DOI10.1016/j.jde.2008.06.021zbMath1144.70005OpenAlexW2036106014MaRDI QIDQ947145

Felipe Alfaro, Ernesto Pérez-Chavela

Publication date: 29 September 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.06.021

zbMATH Keywords

central configurationnecessary conditionsRouth condition

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Motion of charged particles (78A35)

Related Items

Dynamics in the charged restricted circular three-body problem, On the parametric stability of the isosceles triangular libration points in the planar elliptical charged restricted three-body problem, Critical points of the integral map of the charged three-body problem, Qualitative study of a charged restricted three-body problem, Central configurations in the Schwarzschild three body problem, A symmetric spatial periodic orbit in the \(2n\)-body problem, Comet- and Hill-type periodic orbits in restricted \((N+1)\)-body problems, The Asymptotic Behavior of Solutions to the Repulsive $n$-Body Problem, Stability of the equilibrium solutions in a charged restricted circular three-body problem, Geometric interpretation for the spectral stability in the charged three-body problem, Symmetric periodic orbits and Schubart orbits in the charged collinear three-body problem, Equivalence of linear stabilities of elliptic triangle solutions of the planar charged and classical three-body problems, Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems in the case of multiple resonances

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