为了降低星载成像光谱仪对探测器帧频的要求，提高成像光谱仪对某些特定暗目标的观测能力，建立了星载成像光谱仪运动补偿数学模型并提出了工程计算实现方法。介绍了成像光谱仪运动补偿原理，然后按成像光谱仪像面上像移为匀速度补偿的方式建立运动补偿数学模型，给出了不同积分倍数下一次成像的最大观测时间和最大观测距离。指出了实现理论运动补偿曲线的最优工程计算方法。

To decrease the frame frequency requirements of space-borne imager and improve the hyperspectral imager′ s observation ability of a dark object, motion compensation model and its engineering computation realization method are proposed. Firstly, The motion compensation theory of hyperspectral imager is introduced. Furthermore, The motion compensation model according to the uniform speed compensation method on the hyperspectral imager′s focal plane is established. The max observation time and interval are also presented in this paper. Finally, the optimized engineering computation method of the mathematical model is indicated.