This study presents a ballistic analysis of the propulsion of a smart counter-projectile in an active protection system. In order to reduce the pressure of the propellant gases inside the semi-closed barrel of the launcher and to mitigate the effects of the recoil of the launcher, a perforated barrel was chosen. For the system considered, a physical model and a mathematical model of the propulsion of a rocket projectile in a perforated barrel, as well as a computer program, were developed. The gas pressures inside the combustion chamber of the rocket engine and the barrel, as well as the velocity and travel of the missile are the main results from the solution of the presented mathematical model. Based on the resulting calculations, the influence of the holes in the perforated barrel on the operating conditions of the rocket engine, as well as the pressure of propellant gases and the missile velocity inside the barrel were analysed. The use of a perforated barrel caused a significant reduction in the total impulse of the propellant pressure inside the barrel. Based on experimental tests of the barrel launcher-missile assembly, a decrease (about 50%) in the muzzle velocity of the missile was observed. The mathematical model of the interior ballistics presented here allows the missile propulsion, both in a monolithic- as well as a perforated barrel-launcher, to be investigated.
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