含固定转速驱动电机的挠性卫星自旋稳定性分析

分析一类含驱动电机挠性卫星的自旋稳定性，应用不变集定理证明了系统轨迹收敛于系统平衡点集，并通过构造正定的单调递减的类能量函数来判断各平衡点的稳定性质。获得的结论包括：由于挠性振动阻尼特性，在无外扰力矩作用时，含固定转速驱动电机的挠性卫星存在稳定的自旋；不含驱动电机的挠性卫星，稳定的自旋轴为其最大主惯量轴；驱动电机可改变挠性卫星的自旋轴，给出了稳定的自旋轴与电机转速方向夹角公式，该夹角为锐角；当电机转动角动量幅值远小于系统角动量时，稳定自旋轴接近最大主惯量轴；电机转动角动量幅值越接近系统角动量，稳定自旋轴越接近电机转动方向。文中也给出了稳定自旋轴平行电机转轴的条件。

Stability Analysis of Flexible Spin Stabilized Satellite Containing Driven Rotors

In this paper, the spin stability of a kind of flexible free-torque satellites containing driven rotors is analyzed and it is argued that because of the damping effects of flexible structures, satellites with driven rotors rotating at a fixed angular rate have stable spin attitude; for satellites without the driven rotors, the stable spin axis are their maximum principal inertia axis; for satellites with the driven rotors, spin axis can be changed intentionally to get close to the axis of the rotor in a sharp angle; and the closer the amplitude of the angular momentum of the rotor gets to one of the satellite system, the closer the spin axis of the satellite gets to the rotating axis of the rotor; but if the amplitude of the angular momentum of the rotor is much less than one of the satellite system, the spin axis will get close to the maximum principal inertia axis. Also, the conditions are given out under which the stable spin axis is parallel to the rotating axis of the rotor.