Analysis of non-linear stability of guided projectile using lateral impulsive thrust

The analysis of non-linear stability of guided projectile under the condition of high attack angle after lateral impulse was presented. Integral was applied to describe the equations of projectile motions, and consequently, the polynomial for cosine variation of the attack angle was obtained. By analyzing the polynomial, the issue of stability of the projectile angular motion was turned to be the one of calculating the negative roots of the polynomial. The sufficient condition for non-linear stability of the projectile motion was also presented according to the Hurwitz criterion. The result provides certain theoretical basis for both academic and practical fields for issues about predicting the flying state of a projectile under non-linear motion condition, and for those on designing impulsive executive mechanism.