Chaotic Scattering in the Restricted Three-Body Problem. I. The Copenhagen Problem

Details Chaotic Scattering in the Restricted Three-Body Problem. I. The Copenhagen Problem Chaotic Scattering in the Restricted Three-Body Problem. I. The Copenhagen Problem

Jun 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..66..203b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 66, Issue 2, pp.203-228

Astronomy and Astrophysics

Astronomy

10

Restricted Three-Body Problem, Chaotic Phenomena, Scattering

Scientific paper

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.

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