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A New Formalism for Studying Three-Body Interactions

Published online by Cambridge University Press:  26 May 2016

Rosemary A. Mardling*
Affiliation:
School of Mathematical Sciences, Monash University, Melbourne, Australia

Abstract

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A new formalism for studying three-body interactions is discussed. It introduces the concept of forced modes of oscillation of a binary, and relies on the chaos theory concept of resonance overlap. The treatment provides a powerful tool for studying stability and scattering in hierarchical systems, and is not restricted by mass ratios, eccentricities or orientations.

Type
Stellar Dynamics and Stellar Evolution
Copyright
Copyright © Astronomical Society of the Pacific 2003 

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