Symbolic Dynamics, Mixing and Entropy in the Three-Body Problem

Symbolic Dynamics, Mixing and Entropy in the Three-Body Problem

We use symbolic dynamics in the classic equal-mass free-fall three-body problem. Different methods for constructing symbolic sequences (in the process of numerical integration of trajectories) allow one to demonstrate (and illustrate on the Agekian-Anosova map) sensitivity to initial conditions, est...

Full description

Bibliographic Details
Main Authors: Mylläri A., Orlov V., Chernin A., Martynova A., Mylläri T.
Format: Article
Language:English
Published: De Gruyter 2016-09-01
Series:Open Astronomy
Subjects:
celestial mechanics
stars: kinematics and dynamics
Online Access:https://doi.org/10.1515/astro-2017-0127
Description
Summary:We use symbolic dynamics in the classic equal-mass free-fall three-body problem. Different methods for constructing symbolic sequences (in the process of numerical integration of trajectories) allow one to demonstrate (and illustrate on the Agekian-Anosova map) sensitivity to initial conditions, estimate entropies (Shannon, Markov and others), plot binary collision curves, reveal systems with intensive triple interactions (interplay), etc.
ISSN:2543-6376

Similar Items