Families of periodic orbits emanating from homoclinic orbits in the restricted problem of three bodies

DOI10.1023/B:CELE.0000038608.06392.e0zbMath1140.70005MaRDI QIDQ1766805

Jacques Henrard, Juan F. Navarro

Publication date: 1 March 2005

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

zbMATH Keywords

bifurcationsLagrangian pointTrojan web

Mathematics Subject Classification ID

Three-body problems (70F07) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Celestial mechanics (70F15) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)

Related Items (11)

Motion around the triangular equilibrium points of the restricted three-body problem under angular velocity variation ⋮ Asymptotic orbits at the triangular equilibria in the photogravitational restricted three-body problem ⋮ Evolution of the characteristic curves in the restricted three-body problem in terms of the mass parameter ⋮ Asymptotic and periodic orbits around \(L_{3}\) in the photogravitational restricted three-body problem ⋮ On bridges \(B(pL, qS)\) around triangular libration points ⋮ Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP ⋮ Infinite Feigenbaum sequences and spirals in the vicinity of the Lagrangian periodic solutions ⋮ Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families ⋮ Asymmetric periodic solutions in the restricted problem of three bodies ⋮ Stability of the triangular Lagrange points beyond Gascheau's value ⋮ High-order solutions of motion near triangular libration points for arbitrary value of \(\mu\)

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