English

On Hamiltonian intermittency in equal mass three-body problem

Solar and Stellar Astrophysics 2011-03-03 v1 Chaotic Dynamics

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 (Td3/2T_d^{-3/2}) trajectories cause the integral distribution to distort enough to be detected. We fitted the integral distribution with both power-laws (Td3/2T_d^{-3/2} and Td2/3T_d^{-2/3}) taken into account, and found an excellent agreement between the fit and observed integral distribution.

Keywords

Cite

@article{arxiv.1103.0458,
  title  = {On Hamiltonian intermittency in equal mass three-body problem},
  author = {S. A. Pavluchenko},
  journal= {arXiv preprint arXiv:1103.0458},
  year   = {2011}
}

Comments

5 pages, 3 figures

R2 v1 2026-06-21T17:34:16.930Z