Geometric interpretation for the spectral stability in the charged three-body problem

DOI10.1007/s10569-012-9405-3zbMath1266.70013OpenAlexW2027701845MaRDI QIDQ1955976

Claudio Vidal, José Edmundo Mansilla

Publication date: 19 June 2013

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-012-9405-3

zbMATH Keywords

resonancesspectral stabilitycharged three-body problem

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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, Schubart solutions in the charged collinear three-body problem, Qualitative study of a charged restricted three-body problem, Stability of the equilibrium solutions in a charged restricted circular three-body problem, Symmetric periodic orbits and Schubart orbits in the charged collinear three-body problem

Cites Work

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• Invariant shape solutions of the spinning three craft Coulomb tether problem
• Linear stability of relative equilibria in the charged three-body problem
• Stability of Hamiltonian systems with three degrees of freedom and the three body-problem
• Investigation of stability of constant Lagrange solutions of the plane unrestricted three-body problem