Analysis of the ballistic sound wave of the bullet to determine the point of hitting the target

Development of armament and training military equipment aimed to improve the support of units as well as to speed up and improve the quality of training of military personnel are the tasks that remains important and gained special priority in the conditions of war. The study of existing technologies and methods for improving the processes of training and conducting combat shows that a promising direction in this regard is the analysis of the sound field to obtain detailed information about the events on the battlefield or at the place of firing and tactical training classes. The analysis of the sound field during the flight of the bullet is important both for use in the educational and training process as well as during the performance of combat missions. The great advantage of such methods is the relative simplicity, low cost of equipment and the absence of unmasking factors in the form of electromagnetic radiation from various spectral ranges. Another advantage is the ability to modernize existing equipment and weapons without the need to make drastic changes to the design and operation scheme of used armament and equipment. The paper proposes a method for the determination of the trajectory of a bullet or projectile to establish the point of impact or to determine the direction of deviation from the real or training target in the case of a failed shot. Mathematical algorithms obtained on the basis of the proposed physical model for detecting the flight of a bullet in the vicinity of a system of microphones located near the target, compactly placed at certain distances from each other on a rigid tripod, are presented. An analysis of the technical possibility of implementing the corresponding device and its functioning in the conditions of a real experiment was carried out. The results of the experimental verification of the capability of the method are presented in order to confirm the correctness of the mathematical calculations, as well as to determine the possible directions of development of the approach and the ways of increasing the accuracy of the determination of the calculated parameters. The experimentally obtained data agree well with the results of theoretical calculations. Employment of the proposed acoustic system for the determination of the coordinate of the target hitting point together with the traditional target equipment allows one to enhance the training process in firing and tactical training as well as improves the learning of the training issues. It also shortens the time needed for the analysis of the results of the shooting exercises and allows one to reduce the consumption of ammunition in the training process. The analysis of the ballistic sound wave of a bullet, in order to determine the coordinates of the bullet flight path, can be used in the training process of military personnel and during real battles.