Stability regions in the vicinity of a periodic Ducati orbit

被引:2
作者
Martynova, A. I. [1 ]
Orlov, V. V. [2 ]
机构
[1] St Petersburg Forestry Engn Acad, St Petersburg, Russia
[2] St Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
来源
ASTRONOMY LETTERS-A JOURNAL OF ASTRONOMY AND SPACE ASTROPHYSICS | 2009年 / 35卷 / 08期
基金
俄罗斯基础研究基金会;
关键词
three-body problem; periodic orbits; stability;
D O I
10.1134/S1063773709080076
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
One- and two-dimensional sections of the region of initial conditions in the vicinity of a periodic Ducati orbit have been studied in detail in the plane equal-mass three-body problem. A continuous stability region generated by the periodic Ducati orbit has been revealed. In addition, a number of other stability regions that are probably related to stable hierarchical triple systems have been found. Several specific trajectories from the stability regions and in the boundary zones are analyzed.
引用
收藏
页码:572 / 578
页数:7
相关论文
共 12 条
[1]  
BROUCKE R, 1979, ASTRON ASTROPHYS, V73, P303
[2]   STABILITY OF INTERPLAY MOTIONS [J].
HENON, M .
CELESTIAL MECHANICS, 1977, 15 (02) :243-261
[3]   BRAIDS IN CLASSICAL DYNAMICS [J].
MOORE, C .
PHYSICAL REVIEW LETTERS, 1993, 70 (24) :3675-3679
[4]  
Orlov V. V., 1994, Astronomy Reports, V38, P462
[5]   Analysis of the dynamic stability of selected multiple stars with weak hierarchy [J].
Orlov, VV ;
Zhuchkov, RY .
ASTRONOMY REPORTS, 2005, 49 (03) :201-216
[6]  
ORLOV VV, 1994, VESTNIK LGU, V22, P89
[7]  
Petrov Nikolai., 2004, Interview
[8]  
SCHNEIDER P, 2008, ENCY EXTRASOLAR PLAN
[9]  
Valtonen M., 2006, The Three-Body Problem
[10]   New orbits for the n-body problem [J].
Vanderbei, RJ .
ASTRODYNAMICS, SPACE MISSIONS, AND CHAOS, 2004, 1017 :422-433