Stability analysis of quintuple stellar and planetary systems using a symmetric five-body model
Shoaib [Shoaib, M., 2004. Many body symmetrical dynamical systems. Ph.D. Thesis, eprint arXiv:0709.0652, 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...
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| Main Authors: | , , |
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| Format: | Article |
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ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
2008
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| Online Access: | http://eprints.utp.edu.my/2349/1/SAMPLE_PAPER_PDF.pdf http://apps.isiknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=22&SID=X212JDdPAc7358p5C3D&page=1&doc=1 http://eprints.utp.edu.my/2349/ |
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| Institution: | Universiti Teknologi Petronas |
| Summary: | Shoaib [Shoaib, M., 2004. Many body symmetrical dynamical systems. Ph.D. Thesis, eprint arXiv:0709.0652, 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.(C) 2008 Elsevier B.V. All rights reserved. |
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