Satellite video images contain temporal contextual information that is unavailable in single-frame images. Therefore, using a sequence of frames for super-resolution can significantly enhance the reconstruction effect. However, most existing satellite Video Super-Resolution (VSR) methods focus on improving the network’s presentation ability, overlooking the complex degradation processes present in real-world satellite videos which appear as a blind SR problem. In this paper, we propose an effective satellite VSR method based on a unidirectional recurrent network named URD-VSR. Simultaneously, a network independent of the SR structure is utilized to model the degradation process. Experiments on real satellite video datasets and integration with object detection demonstrate the effectiveness of the proposed method.