Chaotic transfers in three- and four-body systems

DOI10.1016/S0378-4371(03)00582-XzbMath1098.70514MaRDI QIDQ1409026

Melissa Burgos, Marian Gidea

Publication date: 28 September 2003

Published in: Physica A (Search for Journal in Brave)

zbMATH Keywords

oscillatory motionNewtonian gravitation

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items

GEOMETRY OF HOMOCLINIC CONNECTIONS IN A PLANAR CIRCULAR RESTRICTED THREE-BODY PROBLEM ⋮ Chaotic motions in the restricted four body problem via Devaney's saddle-focus homoclinic tangle theorem ⋮ Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families ⋮ Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set ⋮ Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations ⋮ Nonlinear Stability of Equilibrium Points in the Planar Equilateral Restricted Mass-Unequal Four-Body Problem ⋮ Chaotic orbits in a restricted three-body problem: numerical experiments and heuristics ⋮ Chebyshev–Taylor Parameterization of Stable/Unstable Manifolds for Periodic Orbits: Implementation and Applications

Cites Work

• Stable and Random Motions in Dynamical Systems
• Braids in classical dynamics
• Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics