The reflective high-resolution optical system is the future development direction of airborne telescope system. When the optical system works on the aviation platform, there will exist offset errors in the optical system, which needs to be corrected in the air due to the influence of temperature change, vibration and impact. The nonlinear function mathematical model between mirror misalignment and Zernike coefficients was established, and the Bhattacharyya coefficient method was used to eliminate the highly correlated misalignment, reduce the complexity of the air alignment and increase the reliability. After correcting a coaxial three-mirror anastigmatic system, the results show that the root-mean-square (RMS) value of wavefront aberration reduces to 0.025 λ, which is 0.014 λ different from the design value, and satisfies the demands of air alignment.