重力姿轨耦合效应引起的太阳能电站轨道共振

Resonance in the orbital motion of solar power station due to gravitational orbit-attitude coupling

以任意相控阵天线式空间太阳能电站为研究对象,主要研究了其在轨运行过程中受到的重力姿轨耦合效应对其轨道运动的影响。首先,通过Hamilton原理建立起考虑重力姿轨耦合效应时的姿态运动和轨道运动的方程。其中,任意相控阵天线式空间太阳能电站被简化成刚体,它的重力势能以其结构尺寸和其轨道半径的比值为小量进行泰勒展开,并保留至二阶项。之后,采用解析的方法对方程进行分析,并发现当电站的姿态运动满足一定条件时,其轨道运动将会出现共振现象。此外,重力姿轨耦合效应还会引起空间太阳能电站轨道运动长期的漂移,通过选择合适的轨道运动初始条件可以消除漂移;而且,在一定条件下,重力姿轨耦合效应还会引起轨道运动的发散。最后,数值仿真结果验证了分析的正确性。

The gravitational orbit-attitude coupling effect on the orbital motion of an arbitrarily phased array space solar power station is studied in this paper.The dynamic equations of the orbital and attitude motions of the space solar power station,considering the effect of gravitational coupling,are firstly derived from the Hamilton dynamics.The arbitrarily phased array space solar power station is simplified as a rigid body and its gravitational potential is expanded in a Taylor series in a small ratio (spacecraft size/orbital radius),and is retained up to the second order terms.Then the equations are analyzed through analytic methods and a resonance phenomenon of the orbital motion caused by the gravitational orbit-attitude coupling effect is discovered when the attitude motion satisfies some certain conditions.In addition,the effect of gravitational orbit-attitude coupling will also result in secular orbital drift of the space solar power station,and the drift can be eliminated by selecting appropriate initial conditions of the orbital motion.The orbit of the space solar power station is unstable under the effect of gravitational orbit-attitude coupling when there exists a constant earth-pointing error in the pitch angle.Finally,numerical simulations are provided,and the results prove the correctness of the analyses above.