INSTABILITY OF CLOSE TRIPLE-SYSTEMS WITH COPLANAR INITIAL DOUBLY CIRCULAR MOTION

被引:45
作者
KISELEVA, LG [1 ]
EGGLETON, PP [1 ]
ORLOV, VV [1 ]
机构
[1] ST PETERSBURG STATE UNIV,INST ASTRON,ST PETERSBURG,RUSSIA
关键词
INSTABILITIES; CELESTIAL MECHANICS; STELLAR DYNAMICS; BINARIES; CLOSE; STARS; INDIVIDUAL; CH CYG; LAMBDA TAU; KINEMATICS;
D O I
10.1093/mnras/270.4.936
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We consider the orbits of triple stars that are started with hierarchical, doubly circular motion, but which have a sufficiently short ratio of orbital periods that the system is close to instability. We discuss the nature of the unstable motion: this can be a straightforward series of ejections of one component, which ultimately escapes to infinity, but there are several other possibilities. For instance, one component may exchange back-and-forth between orbits around the second and the third components, possibly in perpetuity. Alternatively, there may be a number of exchanges followed by ejection and escape. We examine the choices between exchanges and ejections (or both), guided partly by the Szebehely and Zare criterion. In a very small region of our three-dimensional parameter space we have discovered a family of periodic orbits. The masses involved are approximately 1.0 + 0.016 for the inner binary, and 0.4 for the third body. The lightest body makes alternately two small and two large revolutions about the heaviest body, viewed in the frame where the two heaviest bodies are at rest. This pattern persists for at least several thousand revolutions but we defer an analysis of stability of these orbits to a future paper. We consider the application of our results to the close triple systems lambda Tau and CH Cyg.
引用
收藏
页码:936 / 946
页数:11
相关论文
共 40 条
[1]  
Aarseth S. J., 1974, Celestial Mechanics, V10, P185, DOI 10.1007/BF01227619
[2]  
BAILYN CD, 1983, THESIS CAMBRIDGE U
[3]   A SIMPLE CRITERION FOR DETERMINING THE DYNAMICAL STABILITY OF 3-BODY SYSTEMS [J].
BLACK, DC .
ASTRONOMICAL JOURNAL, 1982, 87 (09) :1333-1337
[4]   ZERO VELOCITY SURFACES FOR GENERAL PLANAR 3-BODY PROBLEM [J].
BOZIS, G .
ASTROPHYSICS AND SPACE SCIENCE, 1976, 43 (02) :355-368
[5]   THE HIERARCHICAL STABILITY OF SATELLITE SYSTEMS [J].
DONNISON, JR ;
WILLIAMS, IP .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1985, 215 (03) :567-573
[6]   THE STABILITY OF COPLANAR 3-BODY SYSTEMS WITH APPLICATION TO THE SOLAR-SYSTEM [J].
DONNISON, JR ;
WILLIAMS, IP .
CELESTIAL MECHANICS, 1983, 31 (02) :123-128
[7]   3-BODY ORBITAL STABILITY-CRITERIA FOR CIRCULAR ORBITS [J].
DONNISON, JR ;
MIKULSKIS, DF .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1992, 254 (01) :21-26
[8]   SECONDARIES OF ECLIPSING BINARIES .4. THE TRIPLE SYSTEM LAMBDA-TAURI [J].
FEKEL, FC ;
TOMKIN, J .
ASTROPHYSICAL JOURNAL, 1982, 263 (01) :289-301
[9]   AN ALTERNATIVE DEDUCTION OF THE HILL-TYPE SURFACES OF THE SPATIAL 3-BODY PROBLEM [J].
Ge, Yan-Chao ;
Leng, Xiaoling .
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1992, 53 (03) :233-254
[10]   DYNAMICS OF SYSTEMS OF 2 CLOSE PLANETS [J].
GLADMAN, B .
ICARUS, 1993, 106 (01) :247-263