Resonance and chaos .2. Exterior resonances and asymmetric libration
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Data
1997-12-01
Autores
Winter, O. C.
Murray, C. D.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Edp Sciences S A
Resumo
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 resonances (where n = 2, 3, 4, 5) is confirmed; there is also evidence of asymmetric resonances associated with larger values of n. A detailed examination of the evolution of the family of orbits associated with the 1:2 resonance shows the sequence that leads to asymmetric libration. on the basis of numerical studies of the phase space it is concluded that the existence of asymmetric libration means that the region exterior to the perturbing mass is more chaotic than the interior region. The apparent absence of 'particles' in 1 : n resonances in the solar system may reflect this inherent bias.
Descrição
Palavras-chave
chaos, dynamics, asteroids
Como citar
Astronomy & Astrophysics. Les Ulis Cedex A: Edp Sciences S A, v. 328, n. 1, p. 399-408, 1997.