Electronic Shooting Simulator Family "STrIzh": Computational Optimization of Ballistic Trajectory Modeling

Development of shooting electronic simulators (i.e. for hand weapons and without use ammunition) is an important task since the production of any type of small arms also requires the production of a simulator to instill aiming and shooting skills. Purpose of this work was to computationally optimize the ballistic trajectory modeling taking into account external conditions (temperature, pressure, wind) and with simplifications for various levels of the STrIzh family shooting simulators implementation. An analysis of the calculating external ballistics’ algorithms computational efficiency. This analysis was carried out in order to solve the "problem of bullet meeting" with an obstacle (local objects, targets or relief), taking into account all external factors for the developed family of publicly available shooting simulators "STrIzh" (including the initial, basic and virtual levels of implementation). When solving the "problem of meeting" a weapon ammunition of a weapon simulator with an element of a virtual target situation (relief, local object, target), a ballistic trajectory was calculated after each shot with a step of 0.5–1 m. In this case all types of ammunition, atmospheric factors (temperature, pressure, wind), angles of the target and course were taken into account. Synchronously with the evolution of the target situation, the problem of intersection of the ballistic trajectory with the surface of the shooting range, targets or local objects was solved. In addition to fixing the hit, a close miss and the time of shelling the target were recorded for subsequent assessment. To optimize the speed of the ballistic curve modeling process, its polynomial approximation was proposed in addition to the classical integration of differential equations. Studies on the error in representing the ballistic trajectory compared to the reference tables showed compliance with the requirements on the most important descending section of the trajectory within the accuracy of the above tables ± 5 cm, and on small sights ± 1.5 cm. Studies of various ballistics models’ algorithms performance revealed compliance with different levels of simulator implementation: initial, basic or virtual in terms of resource intensity. It was concluded that development of a family of electronic shooting simulators will be promising due to the improvement of computing tools and development of software libraries in order expanding the functionality of the simulators and reducing their cost and, therefore, increasing competitiveness.

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