大系统方法与卫星姿态动力学

本文是在Четаев理论和大系统理论的基础上^[1,3],提出了一种解决非线性非定常力学系统稳定性的方法:“大系统加权V函数方法”。并应用该方法研究了自旋卫星(包括陀螺体卫星),挠性卫星以及空腔充液卫星的姿态稳定性问题^[2]。可以看到,这个方法,对于分析约束阻尼系统,陀螺系统以及复杂的卫星系统等相当广泛的一类运动稳定性问题,是简明有效的。

METHODS OF LARGE-SCALE SYSTEMS AND SATELLITE ATTITUDE DYNAMICS

This paper presents a method that can be applied to analysis of the stability of nonlinear unsteady mechanical systems,based on Chetaev's theory and the theory of the largescale systems: methods of large-scale systems with weighted Vfunction.Moreover,this method is used for the research on the problems of attitude stability of dual-spinning satellite,the large flexible spacecraft and the satellite with cavity containing fluid.It can be seen that this method can be applied effectively to analyzing the stability of the mechanical systems with constraint damping,the gyrosystems and the complex systems of spacecraft.