Hostname: page-component-7479d7b7d-wxhwt Total loading time: 0 Render date: 2024-07-12T10:32:10.160Z Has data issue: false hasContentIssue false

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

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.

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 

References

Chirikov, B. V. 1979, Phys. Rep., 52, 263 Google Scholar
Mardling, R. A. 2001, astro-ph and ASP Conference Series, Vol. 229, eds Podsiadlowski, P., Rappaport, S., King, A.R., D'Antona, F. & Burderi, L. Google Scholar
Mardling, R. A. & Aarseth, S. J. 2001, MNRAS, 321, 398 Google Scholar
Murray, C. D. and Dermott, S. F. 1999, Solar System Dynamics, CUP, 293 Google Scholar
Poincaré, H. 1993, New Methods of Celestial Mechanics (Vol 1), ed. Goroff, D. L. (New York: AIP), I23, 22 Google Scholar
Press, W. H. & Teukolsky, S. A. 1977, ApJ, 213, 183 Google Scholar
Walker, G. H. & Ford, J. 1969, Phys. Rev. 188, 416 Google Scholar
Wisdom, J. 1980, AJ, 85, 1122 CrossRefGoogle Scholar