磁性刚体航天器的混沌姿态运动  

Chaotic Attitude Motion of a Magnetic Rigid Spacecraft

作　　者：陈立群[1] 刘延柱[2] 

机构地区：[1]上海大学力学系 [2]上海交通大学工程力学系,上海200030

出　　处：《应用数学和力学》2003年第4期385-390,共6页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(10082003)

摘　　要：研究在地球万有引力场和磁场中的磁性刚体航天器在圆轨道上的混沌姿态运动。利用动量矩原理建立了系统的动力学模型。应用Melnikov方法证明了存在复杂非游荡Cantor集。分别采用时间历程、功率谱、Poincare映射和Liapunov指数对系统动力学行为进行了数值研究。数值仿真表明,随着磁场力矩的增强,系统准周期环面破裂而出现混沌。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 Ldapunov 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.

关 键 词：航天器姿态动力学 混沌 MELNIKOV方法 数值仿真 

分 类 号：O322[理学—一般力学与力学基础] V412[理学—力学]