一类复杂力场中磁性刚体航天器的混沌姿态运动

CHAOTIC ATTITUDE MOTION OF A MAGNETIC RIGID SPACECRAFT IN A COMPLEX FORCE FIELD

研究在地球万有引力场和磁场中具有结构内阻尼的磁性刚体航天器在近赤道圆轨道上平面天平动的混沌行为，应用Ｍｅｌｎｉｋｏｖ方法建立了系统存在横截异宿环的条件，分别采用功率谱和Ｌｙａｐｕｎｏｖ指数等数值方法对系统动力学行为进行识别．数值结果表明，在不同参数条件下系统出现周期运动和混沌运动．

Chaotic attitude motion of a magnetic rigid spacecraft with internal damping in a circular orbit near the equatorial plane of the earth is investigated. The Melnikov method is applied to establish the condition of the existence of a transversal heteroclinic cycle. The numerical tools such as power spectrum and Lyapunov exponents are used to identify the dynamical behaviors. The numerical results indicate that periodic motion and chaos appear for different parameters.