INFLUENCE OF THE OVERTURNING MOMENT ON THE RANGE OF THE PROJECTILE

Abstract

A promising direction for increasing the effectiveness of artillery systems is the development of integrating algorithms of ballistic computers for calculating firing settings, which are based on mathematical models describing the spatial movement of a projectile in the air. An important aspect of their effective functioning is the problem of determining the components of the aerodynamic force (moments) in the system of differential equations with a given accuracy. The article evaluates the influence of the overturning moment, as a component of the main projectile moment vector, on the firing range of artillery systems. It is shown that the overturning moment of the projectile is formed as a result of the fact that the vector of full aerodynamic force is applied not to the center of mass of the projectile, but at some distance along the axis of the projectile from it. To evaluate the influence of the overturning moment (its aerodynamic coefficient) on the flight range of the projectile, the method of differences is used, which consists in solving the system of differential equations of the spatial motion of the projectile so that changing the value of the aerodynamic coefficient results in a change in the value of the flight range. Numerical simulation of the flight of the 155-mm PF Assegai M2000 projectile was carried out, and the values of the firing range error were obtained depending on the change in the aerodynamic coefficient of the overturning moment. Thus, the relative error in the flight range of the 155-mm PF Assegai M2000 projectile, depending on its initial speed, subject to a change in the aerodynamic coefficient of the overturning moment by 1%, reaches the value: 0.33%D – at the minimum charge (projectile flight speed 308 m/s ); (0.002-0.05)%D – on 1-5 charges (projectile flight speed (465-944) m/s). The obtained quantitative indicators make it possible to put forward requirements for the required accuracy of the overturning moment calculation.