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

来源：

NEW ASTRONOMY | 2008年 / 13卷 / 08期

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

页码：639 / 645

页数：7

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

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