Attitude stability of satellites subjected to gravity gradient and aerodynamic torques
Attitude stability of satellites subjected to gravity gradient and aerodynamic torques
复制标题
重力梯度和气动力矩作用下卫星的姿态稳定性
作者：
M. Frik
研究了气动力矩和重力力矩对在轨卫星姿态稳定性的影响。卫星被假定为在圆形轨道上的刚体。对于质量和形状属性没有任何限制。在气动力矩守恒的情况下，应用李雅普诺夫直接法研究了卫星相对于轨道参考系的平衡姿态的稳定性。如果气动力矩不仅在平衡点附近是保守的，而且对于卫星的任意方位也是保守的，则至少存在一个稳定的平衡点。这一特性由卫星的形状和质心的位置决定。线性化稳定性分析表明，如果气动力矩是非保守的，则平衡方向一般是不稳定的。
The effect of aerodynamic and gravitational torques on the attitude stability of orbiting satellites is investigated. The satellite is assumed to be a rigid body on a circular orbit. No restrictions are made relative to mass and shape properties. Liapunov's direct method is applied in case of conservative aerodynamic torques to investigate the stability of the satellite's equilibrium orientations relative to an orbiting reference frame. At least one stable equilibrium exists if the aerodynamic torque is conservative not only in the vicinity of the equilibrium but also for arbitrary orientations of the satellite. This property is determined by the shape of the satellite and the location of the center of mass. The stability investigation by linearized analysis shows that the equilibrium orientations are in general unstable if the aerodynamic torque is nonconservative.