О моделировании методов наведения самонаводящихся ракет в системе Wolfram Mathematica

Abstract

Modern air defense systems are very complex and high-tech products. To design them and analyze their capabilities, you need to use very complex mathematical models. At the same time, the development of both air attack and air defense systems is taking place at a rapid pace, so the emerging modeling problems need effective and visual solutions. One of these tasks is to simulate the guidance of an anti-aircraft guided missile on an air target. It is also important to develop an effective methodology for teaching cadets of military universities methods of computer modeling of problems arising in their practice. Moreover, this problem should be solved both when they study the course of higher mathematics and special disciplines. When mathematically modeling the guidance of anti-aircraft guided missiles, in particular, homing missiles, it is necessary to solve systems of differential equations of a rather complex structure. The study of such systems in the course of scientific research or during the training of cadets of higher military educational institutions requires a lot of time and effort. Modern scientific software, in particular, the Wolfram Mathematica system, makes this work much easier, which makes it possible to widely use this system. The paper presents models of homing missiles using the chase method and the method of a constant lead angle for various purposes, and shows the convenience of using the Mathematica system to estimate the required acceleration of the rocket. This allows you to evaluate the effectiveness of shooting at various targets and the zone of destruction of an anti-aircraft missile system. In the course of the study, the expediency of using this technique in conducting scientific research and training cadets of military universities is justified.