Stability of axial orbits in analytical galactic potentials

DOI10.1007/BF00051897zbMath0827.70007OpenAlexW2059486162MaRDI QIDQ1894310

Richard Scuflaire

Publication date: 24 July 1995

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

Full work available at URL: https://doi.org/10.1007/bf00051897

zbMATH Keywords

parameter spaceanalytical methodsymmetry planesellipticity of potentialenergy of orbitlines of neural stability

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Celestial mechanics (70F15) Galactic and stellar dynamics (85A05)

Related Items (12)

Stability of axial orbits in galactic potentials ⋮ The 3-dimensional cored and logarithm potentials: Periodic orbits ⋮ Computation of periodic solutions in perturbed second-order ODEs ⋮ Structure of the centre manifold of the \(L_1\), \(L_2\) collinear libration points in the restricted three-body problem ⋮ On the detuned 2:4 resonance ⋮ Quantitative predictions with detuned normal forms ⋮ Bifurcation Sequences in the Symmetric 1:1 Hamiltonian Resonance ⋮ Periodic orbits associated to Hamiltonian functions of degree four ⋮ The cored and logarithm galactic potentials: Periodic orbits and integrability ⋮ Periodic orbits in analytical planar galactic potentials ⋮ On the integrability of a three-dimensional cored galactic Hamiltonian ⋮ On the analytic integrability of the cored galactic Hamiltonian

Cites Work

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• A family of periodic solutions of the planar three-body problem, and their stability
• Numerical study of periodic orbit properties in a dynamical system with three degrees of freedom
• The stability of periodic orbits in the three-body problem

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