具有结构内阻尼磁性刚体航天器姿态动力学稳定性分析  

A Nalysis on the Chaotic Attitude Motion of a Magnetic Rigid Spacecraft with Interna Damping in a Complex Force

作　　者：解加芳[1] 吕昕东[1] 宋雯[2] 邹杰涛[1] 

机构地区：[1]北方工业大学理学院,北京100144 [2]中航工业沈阳黎明航空发动机集团公司,辽宁沈阳110043

出　　处：《数学的实践与认识》2011年第15期134-138,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金项目(11026090;10772025;10932002)

摘　　要：在地球引力场和磁场中,在考虑了航天器结构内阻尼及气体阻力的影响条件下,研究磁性刚体航天器在绕地球圆轨道运行时可能出现的混沌问题.根据动量矩定理建立动力学模型,应用Melnikov方法证明了动力系统在一定条件下会发生混沌行为,并且给出了解析判据.最后利用数值仿真分析了系统的动力学行为,理论结果与数值仿真结果相一致.In the environment of earth gravitation and magnetic field, the chaotic phenomenon is discussed when the magnetic rigid spacecraft is on a circular orbit round the earth under the condition of structural damping and aerodynamic drag. The dynamical model is established by the law of moment of momentum, The Melnikov analysis is carried out to prove that the dynamics system will appear chaotic behavior in certain conditions, and the analytical criterion of chaotic behavior is given. Then the numerical simulations are used to analysis systematic dynamical motion, the theory analysis results are accord with numerical simulations.

关 键 词：航天器姿态动力学 混沌 MELNIKOV方法 数值仿真 

分 类 号：V448.22[航空宇航科学与技术—飞行器设计]