A Mathematical Model of the Motion of a Spinning Projectile

A semiempirical mathematical model of motion of the center of mass of a spinning projectile in the atmosphere is proposed. This model takes into account the effects of the derivation and change in the frontal resistance due to variation in the angle of attack. These effects are accounted for without a detailed description of spinning in our model, which allows using a large integration step and provides the capability of real-time computation of ballistic corrections. The selection procedure of the model parameters for real weapon systems is described in detail.