Symbolic dynamics in the general three-body problem

A. Chernin, A. Myllari, A. Martynova, V. Orlov

Moscow State University, University of Turku, St. Petersburg Forestry Academy, St. Petersburg State University

The free-fall equal-mass three-body systems are numerically analyzed using the approach of symbolic dynamics. We scan the two-dimensional homology map of initial configurations using the step of 0.001 along both axes. The total number of numerical runs is about 300,000. Symbolic sequences are constructed using binary and triple encounters as well as the changes of configuration types. These symbolic sequences are studied using different entropies and entropy-like parameters. The dependencies of these entropies on initial configurations are drawn and analyzed. A behavior intermittent between chaotic and a regular one is observed. The subregions of different behavior are outlined.