Coupling and recoupling of binaries in chaotic three body systems

TL;DR

This paper investigates the complex dynamics of three-body systems, focusing on binary coupling and recoupling phenomena, by extending previous models to include unequal masses and diverse initial conditions.

Contribution

It generalizes prior restricted models to more realistic unequal mass systems and introduces new analytical and evaluation methods for studying binary interactions.

Findings

Expanded the scope to unequal mass systems

Analyzed various initial configurations including zero velocity models

Provided new insights into binary coupling dynamics

Abstract

Three body systems where one of the bodies is ejected without escaping the binary system have previously been studied in various restricted forms. However, none of these studies dwells on the problem in a general setting. Thus, to study this phenomenon qualitatively, we try to expand this problem's scope to unequal mass systems and generalize them by considering various configurations of fixed initial points with precisely calculated initial velocities, some zero velocity models, and some optimized models. We will see the use of terminology similar to the previous studies done in this domain, but incorporate different analytical and evaluation methods.