The web of periodic orbits at \(L_4\)

DOI10.1023/A:1020124323302zbMath1027.70015OpenAlexW4249471817MaRDI QIDQ1871120

Jacques Henrard

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1023/a:1020124323302

zbMATH Keywords

periodic orbitsrestricted three-body problemmass ratioL(4) equilibrium pointL(5) equilibrium pointstructured network

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (13)

Motion around the triangular equilibrium points of the restricted three-body problem under angular velocity variation ⋮ Normalization of the Hamiltonian near \(L_4\) for small values of \(\mu\) ⋮ Asymptotic orbits at the triangular equilibria in the photogravitational restricted three-body problem ⋮ Vertical bifurcation families from the long and short period families around the equilateral equilibrium points ⋮ ELEMENTAL PERIODIC ORBITS ASSOCIATED WITH THE LIBRATION POINTS IN THE CIRCULAR RESTRICTED 3-BODY PROBLEM ⋮ Evolution of the characteristic curves in the restricted three-body problem in terms of the mass parameter ⋮ On bridges \(B(pL, qS)\) around triangular libration points ⋮ Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families ⋮ The vanishing twist in the restricted three-body problem ⋮ Periodic solutions of the restricted three-body problem for a small mass ratio ⋮ Stability of the triangular Lagrange points beyond Gascheau's value ⋮ Periodic orbits as centers of stability in the secular 3D planetary three body problem ⋮ Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem

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