Comet- and Hill-type periodic orbits in restricted \((N+1)\)-body problems

DOI10.1016/j.jde.2010.08.005zbMath1375.70040OpenAlexW2061564692MaRDI QIDQ618289

Jaume Llibre, Cristina Stoica

Publication date: 14 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2010.08.005

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (10)

Instability of closed orbits obtained by minimization* ⋮ Symmetric periodic solutions for the spatial Maxwell restricted \(N+1\)-problem with Manev potential ⋮ Comet and moon solutions in the time-dependent restricted \((n+1)\)-body problem ⋮ Singular dynamics under a weak potential on a sphere ⋮ Global bifurcation of planar and spatial periodic solutions in the restricted \(n\)-body problem ⋮ Periodic solutions and KAM tori for the spatial Maxwell restricted \(N+1\)-body problem with Manev potential ⋮ Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill's lunar problem ⋮ Uniform bifurcation of comet-type periodic orbits in the restricted \((n + 1)\)-body problem with non-Newtonian homogeneous potential ⋮ The \(n\)-body problem in spaces of constant curvature. II: Singularities ⋮ Periodic orbits for the perturbed planar circular restricted 3-body problem

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