With the development of space technology,small satellite will be widely applied.The paper design a catadioptric system base on Ritchey-Chretion system which including three sphere correction lens.The system has a focal length of 1000,F number of 5,and spectrum band of 450~900 nm,and the field angle reaches 2.3°.the result indicates that,MTF reaches 0.47 at 77 lp/mm with 15% central obscure,the quality of image approaches the diffraction limit,and optical system distortion is less than 0.5%.The system with simpler structure,small size and light weight,can be used in light-small satellite.