Measurement method of projectile's heading and pitching angle velocities based on biaxial accelerometer

A measurement method of projectile's heading angle velocity and pithing angle velocity based on the orthogonal biaxial Coriolis acceleration is proposed. In this study, a three-dimension dynamic model of the projectile in the inertial space is established based on the Coriolis acceleration principle. The transition matrix from angular velocity along the three axes to the acceleration for the three axes is obtained. The simplified dynamic model of the projectile is given as the values of roll angle velocity which are much bigger than the angle velocity value of heading or pitching. Based on this principle, the value of the heading angel velocity or pitching angle velocity can be measured by calculating the accelerations of the pitching axis and heading axis. The numerical simulation results of 100 mm anti-aircraft agree with the theoretical deduction results. The proposed method provides an effective theoretical guidance for measuring the projectile's heading and pitching angle velocities based on the accelerometer.