Now showing items 1-4 of 4
The Liapunov exponent as a tool for exploring phase space
(Chaos In Gravitational N-body Systems, 1996-01-01) [Trabalho apresentado em evento]
We have used the Liapunov exponent to explore the phase space of a dynamical system. Considering the planar, circular restricted three-body problem for a mass ratio mu = 10(-3) (close to the Jupiter/Sun case), we have ...
Resonance and chaos .1. First-order interior resonances
(Astronomy & Astrophysics, 1997-03-01) [Artigo]
Analytical models for studying the dynamical behaviour of objects near interior, mean motion resonances are reviewed in the context of the planar, circular, restricted three-body problem. The predicted widths of the ...
Caustics of the restricted three-body problem
(Astronomy & Astrophysics, 1998-03-01) [Artigo]
Trajectories of the planar, circular, restricted three-body problem are given in the configuration space through the caustics associated to the invariant tori of quasi-periodic orbits. It is shown that the caustics of ...
Resonance and chaos .2. Exterior resonances and asymmetric libration
(Astronomy & Astrophysics, 1997-12-01) [Artigo]
The motion of a test particle in the vicinity of exterior resonances is examined in the context of the planar, circular, restricted three-body problem. The existence of asymmetric periodic orbits associated with the 1 : n ...