CHAOTIC ATTITUDE MOTION OF A MAGNETIC RIGID SPACECRAFT

• Published in: Applied mathematics and mechanics Vol. 24; no. 4; pp. 434 - 440
• Main Author: 陈立群 刘延柱
• Format: Journal Article
• Language: English
• Published: Department of Mechanics, Shanghai University, Shanghai 200436, P.R. China 01.04.2003; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P.R. China%Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P.R. China
• Subjects: Melnikov分析; Poincare映射; 幂频谱; 数值模拟; 时间关系曲线图; 最大Liapunov指数; 混沌姿态运动; 磁硬宇宙飞船; 非游荡Cantor集; chaos; spacecraft attitude dynamics; numerical simulation; Melnikov' s method
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/BF02439623

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 momentof momentum.The Melnikov analysis was carried out to prove the existence of a complicated nonwandering cantor set.The dynamical behaviors were numerically inverstigated by means of time history,Poincare map,power spectrum and Liapunov exponents.Numerical simulations indicate that the onset of chaos is characteried by break of torus as the increase of the torque of the magnetic forces.