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On Hamiltonian intermittency in equal mass three-body problem

By S. A. Pavluchenko

Abstract

We demonstrate that both kinds of the Hamiltonian intermittency exert an influence on the disruption statistics in the equal mass three-body problem. Studying initially-resting triple systems we found a narrow region in the vicinity of the strong chaos, where the influence of the second kind Hamiltonian intermittency ($T_d^{-3/2}$) trajectories cause the integral distribution to distort enough to be detected. We fitted the integral distribution with both power-laws ($T_d^{-3/2}$ and $T_d^{-2/3}$) taken into account, and found an excellent agreement between the fit and observed integral distribution.Comment: 5 pages, 3 figure

Topics: Astrophysics - Solar and Stellar Astrophysics, Nonlinear Sciences - Chaotic Dynamics
Year: 2011
OAI identifier: oai:arXiv.org:1103.0458
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