paper

Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem

arXiv:math/0201294 · doi:10.1007/s00220-002-0666-7

Abstract

This paper concerns the restricted 3-body problem. By applying topological methods we give a computer assisted proof of the existence of some classes of periodic orbits, the existence of symbolic dynamics and we give a rigorous lower estimate for the topological entropy.

22 pages. Includes Mathematica source file r3b.nb

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