绳系卫星系统中的周期运动

在椭圆轨道上飞行的绳系卫星系统的重要特征是系绳的方向角具有周期性运动，称为驻环。不稳定的驻环导致全系统的不稳定性。本文给出系统运动的数学模型、距离速率控制方法、求解驻环的数值迭代算法、驻环的稳定性和吸引域以及控制参数平面上驻环存在的区界和计算机仿真结果

PERIODIC MOTION IN THE TETHERED SATELLITE SYSTEM

An important feature of the tethered satellite system in elliptic orbit is a periodic motion of the system A stationary periodic motion of the swing angle of the tether line is called the limit cycle The unstable limit lcycle leads to the instability of the whole system This paper describes the mathematic model of the system,the range rate control algorithm,a numerical iterative method of computing the limit cycle,the stability and domain of attraction of the limit cycle,the boundary line of stabilizing parameters and the results of a computer simulation