eprintid: 430 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/00/04/30 datestamp: 2023-11-09 15:16:04 lastmod: 2023-11-09 15:16:04 status_changed: 2023-11-09 15:14:32 type: article metadata_visibility: show creators_name: Shoaib, M. creators_name: Steves, B.A. creators_name: Széll, A. title: Stability analysis of quintuple stellar and planetary systems using a symmetric five-body model ispublished: pub note: cited By 9 abstract: 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, C0, are directly related to each other. We conclude that stable quintuple stellar systems should have large C0 value, while planetary systems can be stabilised hierarchically by a massive central star even with relatively small C0 value. This analysis can be used to study the stability of extrasolar planets and stellar systems. © 2008 Elsevier B.V. All rights reserved. date: 2008 official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-44649199201&doi=10.1016%2fj.newast.2008.03.009&partnerID=40&md5=c22705e5f88dc3be9ee7f40e8e3c6db5 id_number: 10.1016/j.newast.2008.03.009 full_text_status: none publication: New Astronomy volume: 13 number: 8 pagerange: 639-645 refereed: TRUE issn: 13841076 citation: Shoaib, M. and Steves, B.A. and Széll, A. (2008) Stability analysis of quintuple stellar and planetary systems using a symmetric five-body model. New Astronomy, 13 (8). pp. 639-645. ISSN 13841076