Nanosatellites usually refer to satellites with mass less than 10 kg and practical functions. With the development of high and new technology and the promotion of demand, nanosatellites play an important role in scientific research, national defense, commercial and other fields with the advantages of small size, low power consumption, short development cycle, formation networking and low cost to complete many complex space tasks. High resolution remote sensing is one of the important applications of microsatellites, because of its small size, it requires more for optical payload. According to the structural form of RC system, this paper presents a compact coaxial four reflection catadioptric system based on the structural form of RC system. The final optical system design results are as follows: the focal length is 192.2mm, the pupil diameter is 136mm (the effective pupil diameter is 105mm), the working band is 500-900nm, the imaging field of view is 4.5 degrees, and the total optical length is 58mm. The analysis shows that the transfer function of the optical system is higher than 0.45 at 100lp / mm, the distortion of the whole market is less than 0.12%, and the relative illuminance of the whole field of view is higher than 96%. It is proved that the optical system has good imaging quality in the full field of view, and the system has good compactness to meet the load requirements of micro nanosatellite.