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, Poincaré 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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Communicated by LIU Zeng-rong
Foundation items: the National Natural Science Foundation of China (19782003); the Shanghai Municipal Development Foundation of Science and Technology (98JC 1403)
Biography: CHEN Li-qun (1963 −), Professor, Doctor
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Li-qun, C., Yan-zhu, L. Chaotic attitude motion of a magnetic rigid spacecraft. Appl Math Mech 24, 434–440 (2003). https://doi.org/10.1007/BF02439623
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DOI: https://doi.org/10.1007/BF02439623