基于子星运行弧长和线速度的绳系卫星回收

Tethered Satellite Retrieval Based on Subsatellite’s Movement Arc and Linear Velocity

通过对绳系卫星动力学模型的研究,利用系统的原始状态:绳长与面内偏角及它们的导数,组合出新的状态:子星相对主星运行的弧长与线速度。并发现在一定条件下,新状态在弧长与线速度构成的相平面上的关系满足椭圆曲线方程。利用绳系卫星的这一性质,在子星回收阶段,通过安装在子星上的推力器来驱动新状态在各椭圆曲线之间转移,使得新状态被转移到并稳定在零值附近,从而将相应的原始状态控制到期望的精度。仿真结果显示所提出的子星回收控制是有效的。

It is discovered that the new states, the subsatellite＇s movement arc and linear velocity that are composed by the tether＇s length and pitch angle, as well as their derivative, are subject to the ellipse equation in the phase plane that consists of the two new states. According to the property, during the retrieval process the new states are driven to transfer among some ellipses by thrusters installed on the subsatellite. In this way the new states can be driven to the vicinity of zero and made not leave the vicinity again. Then the corresponding original states, tether＇s length and pitch angle, as well as their derivative, will reach the expectative precision. The results of simulations illustrate that the control approach of tethered satellite retrieval is effective.