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Astron. Astrophys. 331, 1108-1112 (1998)


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Caustics of the restricted three-body problem

D.E. Santos Jr. 1, R. Vieira Martins 1, O.C. Winter 2 and R.R. Cordeiro 3

1 Observatório Nacional, Rua Gal. José Cristino 77, 20921-400 Rio de Janeiro, Brazil (e-amil: desj@on.br and rvm@on.br)
2 Grupo de Dinâmica Orbital e Planetologia, Campus Guaratinguetá, UNESP, CP205 CEP 12500-000, Guaratinguetá, São Paulo, Brazil (e-mail: ocwinter@feg.unesp.br)
3 Departamento de Física, Universidade Federal de Viçosa, CEP 36571-000, Viçosa, Brazil (e-mail: cordeiro@mail.ufv.br)

Received 5 September 1997 / Accepted 13 November 1997

Abstract

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 trajectories librating in any particular resonance display some features associated to that resonance. This method can be considered complementary to the Poincaré surface of section method, because it provides information not accessible by the other method.

Key words: celestial mechanics, stellar dynamics – chaos

© European Southern Observatory (ESO) 1998

Online publication: March 3, 1998
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