Periodic orbits in analytical planar galactic potentials

DOI10.1023/A:1008390804052zbMath0938.70009OpenAlexW2109111656MaRDI QIDQ1307634

Richard Scuflaire

Publication date: 21 June 2000

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

Full work available at URL: https://doi.org/10.1023/a:1008390804052

zbMATH Keywords

analytical planar galactic potentialdomain of existence of family of orbitsLindstedt methodregular families of periodic orbitstwo-dimensional logarithmic potential

Mathematics Subject Classification ID

Celestial mechanics (70F15) Galactic and stellar dynamics (85A05)

Related Items (8)

The 3-dimensional cored and logarithm potentials: Periodic orbits ⋮ Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body ⋮ 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 ⋮ Periodic orbits in the photogravitational restricted problem with the smaller primary an oblate body ⋮ On the integrability of a three-dimensional cored galactic Hamiltonian ⋮ On the analytic integrability of the cored galactic Hamiltonian

Cites Work

• Computerized formal solutions of dynamical systems with two degrees of freedom and an application to the Contopoulos potential. I: The exact resonance case
• Computerized formal solutions of dynamic systems with two degrees of freedom and an application to the Contopoulos potential. II: The near- resonance case
• Stability of axial orbits in analytical galactic potentials
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