Periodic solutions of the N-body problem

DOI10.1016/0022-0396(81)90081-4zbMath0431.70021OpenAlexW4213170016MaRDI QIDQ5904332

Kenneth R. Meyer

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90081-4

zbMATH Keywords

periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) (n)-body problems (70F10)

Related Items (17)

Comet like periodic orbits in the \(N\)-body problem ⋮ Singular manifolds and quasi-periodic solutions of Hamiltonians for vortex lattices ⋮ Periodic solutions of a class of Hamiltonian systems with singularities ⋮ Hamiltonian systems with a discrete symmetry ⋮ On averaging, reduction, and symmetry in Hamiltonian systems ⋮ Hill's lunar equations and the three-body problem ⋮ Multiple closed orbits for perturbed Keplerian problems ⋮ Computation of Periodic Solutions of Conservative Systems with Application to the 3-Body Problem ⋮ Degenerate relative equilibria, curvature of the momentum map, and homoclinic bifurcation ⋮ On the stability of hierarchical four-body systems ⋮ From the restricted to the full three–body problem ⋮ Continuation of periodic solutions in three dimensions ⋮ Periodic Orbits for the Planar Newtonian Three-Body Problem Coming from the Elliptic Restricted Three-Body Problems ⋮ Applying the symmetry groups to study the \(n\) body problem ⋮ A class of periodic solutions of the \(N\)-body problem ⋮ Periodic orbits ⋮ On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov \((N + 1)\)-body problem

Cites Work

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• Measure of degenerate relative equilibria. I
• Minimally classifying relative equilibria
• A new proof of a theorem of J. Moser concerning the restricted problem of three bodies
• New periodic solutions of the plane three-body problem corresponding to elliptic motion in the lunar theory
• Topology and mechanics. II: The planar \(n\)-body problem
• Symplectic manifolds and their Lagrangian submanifolds
• Lyapunov's center theorem for resonant equilibrium
• Periodic orbits near infinity in the restrictedN-body problem
• Canonical forms for symplectic and Hamiltonian matrices
• The continuation of periodic orbits from the restricted to the general three-body problem
• Periodic elliptic motions in a planar restricted (N+1)-body problem
• Periodic solutions of circular-elliptic type in the planarN-body problem
• On some new long periodic solutions of the plane restricted three body problem
• A new method of perturbation theory and its application to the satellite problem of celestial mechanics.
• BURRAU'S PROBLEM OF THREE BODIES
• Two Families of Periodic Solutions of the Plane Four-Body Problem
• Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh

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