Modelling and analysis of shell case dynamics

The paper deals with physical, mathematical and computer models of dynamics of a shell case. The model has been formulated using the results of studying the dynamics of flying objects as well as data obtained from wind tunnel tests. A numerical method of integrating the Runge-Kutta-Gill equations has been used to solve a system of ordinary differential equations that describe the shell case motion. The model has been applied to:

– Analysis of parameters of motion of the aircraft gun shell case dropped from the aircraft in any 3D motion, with real parameters of the atmosphere and the air mass motion (wind and airflow behind the wing)
taken into account;

– Determination of zones of dispersion of shell cases in space and relative to the second-in-the-pair airplane while attacking targets in the course of formation flying.