Nonlinear stability of stationary points in the problem of Robe

DOI10.3934/dcdsb.2016029zbMath1404.70030OpenAlexW2470115495MaRDI QIDQ321720

Lucas Rezende Valeriano, Dieter S. Schmidt

Publication date: 14 October 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016029

zbMATH Keywords

equilibrium pointsbuoyancynonlinear stabilityKAM theory

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Cites Work

• Parametric stability in Robe's problem
• Stability of a Hamiltonian system in a limiting case
• Nonlinear stability of equilibrium point in the Robe's restricted circular three-body problem
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• The stability of the Lagrange triangular point and a theorem of Arnold
• On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance
• Robe's restricted three-body problem with drag
• Robe's restricted three-body problem revisited
• A new kind of 3-body problem
• The existence and stability of equilibrium points in the Robe's restricted three-body problem

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