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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (4): 434-440.

• 论文 • 上一篇    下一篇

CHAOTIC ATTITUDE MOTION OF A MAGNETIC RIGID SPACECRAFT

陈立群1,2, 刘延柱3   

  1. 1. Department of Mechanics, Shanghai University, Shanghai 200436, P. R. China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China;
    3. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P. R. China
  • 收稿日期:2000-10-18 修回日期:2002-11-29 出版日期:2003-04-18 发布日期:2003-04-18
  • 基金资助:
    the National Natural Science Foundation of China (19782003):the Shanghai Municipal Development Foundation of Science and Technology (98JC 1403)

CHAOTIC ATTITUDE MOTION OF A MAGNETIC RIGID SPACECRAFT

CHEN Li-qun1,2, LIU Yan-zhu 3   

  1. 1. Department of Mechanics, Shanghai University, Shanghai 200436, P. R. China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China;
    3. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P. R. China
  • Received:2000-10-18 Revised:2002-11-29 Online:2003-04-18 Published:2003-04-18
  • Supported by:
    the National Natural Science Foundation of China (19782003):the Shanghai Municipal Development Foundation of Science and Technology (98JC 1403)

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被引次数

7

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, Poincar 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.

Abstract: 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, Poincar 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.

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