Stability analysis of quintuple stellar and planetary systems using a symmetric five-body model

被引:6
作者
Shoaib, M. [2 ]
Steves, B. A. [1 ]
Szell, A. [1 ]
机构
[1] Glasgow Caledonian Univ, Sch Comp & Math Sci, Glasgow G4 0BA, Lanark, Scotland
[2] Univ Teknol PETRONAS, Dept Elect & Elect Engn, Tronoh, Perak, Malaysia
关键词
five-body problem; hierarchical stability;
D O I
10.1016/j.newast.2008.03.009
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
引用
收藏
页码:639 / 645
页数:7
相关论文
共 16 条
[1]  
Everhart E., 1985, DYNAMICS COMETS THEI, P185
[2]  
LOKS A, 1985, ASTRON ASTROPHYS, V149, P462
[3]   HILL REGIONS FOR GENERAL 3-BODY PROBLEM [J].
MARCHAL, C ;
SAARI, DG .
CELESTIAL MECHANICS, 1975, 12 (02) :115-129
[4]   The Caledonian symmetrical double binary four-body problem I: Surfaces of zero-velocity using the energy integral [J].
Roy, AE ;
Steves, BA .
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2000, 78 (1-4) :299-318
[5]   ON THE OCCURRENCE OF COMMENSURABLE MEAN MOTIONS IN THE SOLAR SYSTEM .2. THE MIRROR THEOREM [J].
ROY, AE ;
OVENDEN, MW .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1955, 115 (03) :296-309
[6]   On the symmetric collinear four-body problem [J].
Sekiguchi, M ;
Tanikawa, K .
PUBLICATIONS OF THE ASTRONOMICAL SOCIETY OF JAPAN, 2004, 56 (01) :235-251
[7]  
SERGYSELS R, 1987, ASTRON ASTROPHYS, V182, P163
[8]  
SHOAIB M, 2004, ARXIV07090652, P132
[9]  
Steves BA, 2001, SCOTT UNIV SUM SCH P, V54, P301
[10]   A family of symmetrical Schubart-like interplay orbits and their stability in the one-dimensional four-body problem [J].
Sweatman, WL .
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2006, 94 (01) :37-65