Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-30T00:39:42.130Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

References

Easton, R. 1971. J. Diff. Eq.. 10, 371.Google Scholar
Easton, R. 1975. J. Diff. Eq. 19, 258.CrossRefGoogle Scholar
Marchal, C. 1971. Astron. Astrophys., 10, 278.Google Scholar
Marchal, C. and Saari, D. 1975. Cel. Mech., 12, 115.Google Scholar
Roy, A.E. and Ovenden, M.W. 1955. Mon.Not. Soc.Astron. Soc. 115, 3.Google Scholar
Saari, D.G. 1974. SIAM J. Appl. Math., 26, 806.Google Scholar
Smale, S. 1970. Inventiones Math. 11, 45.Google Scholar
Zare, K. 1976. Cel. Mech., 14, 73.Google Scholar
Zare, K. 1977. Cel. Mech., 16, 35.CrossRefGoogle Scholar