On Hamiltonian intermittency in equal mass three-body problem

TL;DR

This paper investigates how Hamiltonian intermittency affects disruption times in the equal mass three-body problem, revealing the influence of both types of intermittency near strong chaos and fitting the disruption distribution with power-laws.

Contribution

It demonstrates the impact of both kinds of Hamiltonian intermittency on disruption statistics and provides a detailed fit of the distribution with power-laws.

Findings

Both types of Hamiltonian intermittency influence disruption times.

A narrow region near strong chaos shows significant effects.

Power-law fits accurately describe the disruption distribution.

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.