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Chaotic scattering in the restricted three-body problem I. The Copenhagen problem (1996)

Benet, L. ; Trautmann, D. ; Seligman, T.H.

Springer

Celestial mechanics and dynamical astronomy 66 (1996), S. 203-228

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Details

ISSN: 1572-9478

Schlagwort(e): Restricted three-body problem ; chaotic phenomena ; scattering

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract We consider the scattering motion of the planar restricted three-body problem with two equal masses on a circular orbit. Using the methods of chaotic scattering we present results on the structure of scattering functions. Their connection with primitive periodic orbits and the underlying chaotic saddle are studied. Numerical evidence is presented which suggests that in some intervals of the Jacobi integral the system is hyperbolic. The Smale horseshoe found there is built from a countable infinite number of primitive periodic orbits, where the parabolic orbits play a fundamental role.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00054965

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