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Asymptotic Approach to Mirror Conditions as a Trapping Mechanism in N-Body Hierarchical Dynamical Systems

Published online by Cambridge University Press:  12 April 2016

Archie E. Roy
Archie E. Roy*
Affiliation:
Department of Astronomy, Glasgow University, Glasgow, U.K.

Abstract

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The consequences for hierarchical stability of almost circular almost coplanar, low perturbation orbits in an n-body hierarchical dynamical system is discussed. It is shown that frequent close approaches to mirror conditions with subsequent reversing of perturbations is ensured by such properties. The part played by near commensurabilities in mean motion is also discussed, the Sun-Jupiter-Saturn case being taken as an example.

Type
Part V - Trapped Motion in the Three-Body Problem
Information
International Astronomical Union Colloquium , Volume 74: Dynamical Trapping and Evolution in the Solar System , 1983 , pp. 277 - 287
Copyright
Copyright © Reidel 1983

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