Abstract: In order to investigate the aerodynamic characteristics of the hedgehopping projectile under the condition of high-speed rolling, comparative experimental investigations using wind tunnel tests were implemented first at static and freely rolling states. Based on this, both numerical technique and approximate analytical method were further employed to quantitatively analyze the influence of such a high-speed rolling state on aerodynamic parameters under various Mach numbers. Corresponding variation laws of the balance rotation speeds with respect to the empennage geometries were obtained as well. Main results indicate the following:the balance rotation speed rises with a descending gradient and an increasing Mach number; under a fixed Mach number, the increasing attack angle can lead to a non-linear decrease for balance rotation speed; all increasing root tip ratio, twist rate and sweepback enable a higher balance rotation speed; the aerodynamic characteristics in high-speed rolling states are distinctly different from those of the static case; besides the larger yawing moment, the lower pitching moment and the forward shift of pressure center are also caused, both of which are adverse to the flight stability of empennage projectile.