Stability analysis of quintuple stellar and planetary systems using a symmetric five-body model
✍ Scribed by M. Shoaib; B.A. Steves; A. Széll
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 387 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1384-1076
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✦ Synopsis
Shoaib [Shoaib, M., 2004
. Many body symmetrical dynamical systems. Ph.D. Thesis, eprint , pp. 132-169] gave an analytical stability criterion for the Caledonian Symmetric Five-Body Problem valid for all time. This analytical stability criterion is verified numerically for the coplanar case. It is also shown numerically that the hierarchical stability and the Szebehely constant, C 0 , are directly related to each other. We conclude that stable quintuple stellar systems should have large C 0 value, while planetary systems can be stabilised hierarchically by a massive central star even with relatively small C 0 value. This analysis can be used to study the stability of extrasolar planets and stellar systems.