Chaotic attitude motion of a magnetic rigid spacecraft |
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| Authors: | Chen Li-qun Liu Yan-zhu |
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| Affiliation: | 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 |
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| 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, 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. |
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| Keywords: | spacecraft attitude dynamics chaos Melnikov's method numerical simulation |
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