含有不平衡飞轮的卫星精确动力学模型研究

针对含不平衡飞轮的卫星动力学模型，给出了不平衡飞轮的转动惯量矩阵。用多刚体建模方法，建立了综合的完整姿态动力学分析模型，提出了质心位置的计算方法。通过飞轮系统的完整精确模型，将飞轮扰动对三轴姿态稳定卫星的影响反映至滚转一俯仰一偏航三轴姿态。Matlab／Simulink环境中仿真验证了该系统角动量为常值。分析了不平衡飞轮对卫星姿态的影响，并解释了模型的应用。研究表明飞轮扰动影响不可忽略，精确的动力学模型对未来航天器的应用有重要意义。

Research of Accurate Satellite Dynamic Model with Imbalance Flywheel

The rotational inertia matrix of the imbalance flywheel was given out in the satellite dynamic model with the imbalance flywheel in this paper. The comprehensive analysis model of the complete attitude dynamics was established. The calculation method of the eentroid position was put forward. The influence about the disturbance was turned on the three-axis stabilized satellite into the roll-pitch-yaw-axis altitude through the accurate model of the flywheel system. It was verified that the angular momentum was conservation by the simulation in Matlab/ Simulink. The influence about the imbalance flywheel on the attitude of the satellite was analyzed with an example, and it was explained how to use the model in the specific task. The study was showed that the flywheel disturbances could not be ignored. The accurate dynamics model had the practical significance for the future spacecraft.