Periodic Orbits for the Planar Newtonian Three-Body Problem Coming from the Elliptic Restricted Three-Body Problems

DOI10.2307/2154767zbMath0847.70011OpenAlexW4255327097MaRDI QIDQ4875738

Donald G. Saari, Jaume Llibre

Publication date: 13 June 1996

Full work available at URL: https://doi.org/10.2307/2154767

zbMATH Keywords

Poincaré compactificationcontinuation of symmetric periodic orbits

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15)

Related Items (4)

Periodic orbits for the perturbed planar circular restricted 3-body problem ⋮ Periodic solutions in the spatial elliptic restricted three-body problem ⋮ On a special type of border-collision bifurcations occurring at infinity ⋮ Continuation of periodic solutions in three dimensions

Cites Work

• Apollonius coordinates, the N-body problem, and continuation of periodic solutions
• Bifurcations of Nonlinear Oscillations and Frequency Entrainment Near Resonance
• The continuation of periodic orbits from the restricted to the general three-body problem
• Generic Properties of Polynomial Vector Fields at Infinity
• Periodic solutions of the N-body problem
• Unnamed Item
• Unnamed Item

This page was built for publication: Periodic Orbits for the Planar Newtonian Three-Body Problem Coming from the Elliptic Restricted Three-Body Problems