Chaotic attitude motion of a magnetic rigid spacecraft

被引:0
作者
Chen, LQ [1 ]
Liu, YZ
机构
[1] Shanghai Univ, Dept Mech, Shanghai 200436, Peoples R China
[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
[3] Shanghai Jiao Tong Univ, Dept Engn Mech, Shanghai 200030, Peoples R China
基金
中国国家自然科学基金;
关键词
spacecraft attitude dynamics; chaos; Melnikov's method; numerical simulation;
D O I
10.1007/bf02439623
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Chaotic attitude motion of a magnetic rigid spacecraft in a circular orbit of the earth is,treated. The dynamical model of the problem was derived from the law of moment of momentum. The Melnikov analysis-was carried out to prove the existence of a complicated nonwandering Cantor set. The dynamical behaviors were numerically investigated by means of time history, Poincare map power spectrum and Liapunov exponents. Numerical simulations indicate that the onset of chaos is characterized by break of torus as the increase of the torque of the, magnetic forces.
引用
收藏
页码:434 / 440
页数:7
相关论文
共 10 条
[1]   Regular and chaotic motions in applied dynamics of a rigid body [J].
Beletskii, VV ;
Pivovarov, ML ;
Starostin, EL .
CHAOS, 1996, 6 (02) :155-166
[2]  
BELETSKY VV, 1995, REGULAR CHAOTISCH BE, P31
[3]   Chaotic attitude motion of a magnetic rigid spacecraft in a circular orbit near the equatorial plane [J].
Chen, LQ ;
Liu, YZ ;
Cheng, G .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2002, 339 (01) :121-128
[4]   Chaotic attitude motion of a magnetic rigid spacecraft and its control [J].
Chen, LQ ;
Liu, YZ .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2002, 37 (03) :493-504
[5]  
Liu YZ, 1998, 3RD INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, P80
[6]  
LIU YZ, 2000, ADV MECH, V30, P351
[7]  
LIU YZ, 2002, NONLINEAR DYNAM, P217
[8]  
LIU YZ, 1995, SPACECRAFT ATTITUDE, P1
[9]  
RIMROTT FJP, 1989, INTRO ATTITUDE DYNAM, P1
[10]   DETERMINING LYAPUNOV EXPONENTS FROM A TIME-SERIES [J].
WOLF, A ;
SWIFT, JB ;
SWINNEY, HL ;
VASTANO, JA .
PHYSICA D, 1985, 16 (03) :285-317