This paper designs an integrated optical system for detection and recognition. The system combines the R-C (Ritchey-Chretien optics) system and the zoom structure. The R-C mirror design of the initial structure of the system is completed by calculation of theory. Then, use the zoom theory to complete the design of the two zoom positions. The two zoom positions respectively realize the detection and identification of space debris. The F numbers are 5.86 and 11. The field of view angles are 2.83°and 0.6°. It works in band of 400-750nm. The system has an entrance pupil diameter of 300mm. The detection position can detect space debris with a brightness of 13 magnitude stars, with focal length of 1760mm; the recognition position's modulation transfer function is greater than 0.6 at the Nyquist frequency of 33.33lp/mm, with the focal length of 3300mm. The zoom theory is well applied in the integrated detection and recognition system. © 2021 SPIE