Dynamic optics is a subject, which studies dynamic imaging characteristics of optical system and optical components in dynamic status. Image stabilizing system is an important part of dynamic optical system. The aim of movement between optical components of optical system is to reach some goal, for example, goal of circumrotation of scanners of the scanning and tracking system is to capture and track target. In an imaging stabilizing system, when the optical instrument installed on some carrier, the motion of carrier causes the image motion, so causes the image blur, in order to keep the stabilization and clarity of picture, the optical components must have some relative motion. To apply a spacial remote sensor, the remote imaging analysis is the key problem. Based on image stabilizing theorydynamic optical theory, the analysis of image motion of spacial remote sensor is given. The result shows the concise concept and simple expression of this method, which is consistent with uniform coordinate transform method. Similarly, for the similar moving optical systems, the theory of image-stabilization is also applicable.