Development of a technique for ballistic calculation and optimization of the parameters of an active-rocket projectile

The paper considers the problem of increasing the firing range of an active-rocket projectile (ARS) by optimizing both internal and external ballistic parameters. A complex mathematical model of the ballistic calculation of ARS has been developed, including the stages of internal ballistics when the projectile moves in the gun barrel, external ballistics in the active and passive sections of the trajectory, and internal ballistics of a solid propellant jet engine. In addition to the initial firing conditions, the optimization parameters of the ARS are the mass of the fuel charge of the jet engine and the time of its launch on the trajectory. Using the Runge-Kutta method, 4 orders, for the numerical solution of the system of equations of internal and external ballistics and using the Hooke-Jeeves multidimensional optimization method, the optimal angle of inclination of the gun and the start time of the jet engine are found.