Method of parabolic approximation for determining the impact point coordinates of an artillery projectile
Keywords:
Artillery shot, firing verification, ballistic wave, acoustic reconnaissance, trajectory approximation, random disturbancesSynopsis
This section considers a method for verifying an artillery shot under conditions of random disturbances, which is based on the registration of acoustic fields formed by ballistic and muzzle waves. The position of the proposed approach among modern technologies for ensuring the accuracy of artillery fire is demonstrated, and the feasibility of using the ballistic wave as a source of useful information for estimating projectile flight parameters is substantiated.
A general description of the method, the layout of the measuring equipment, and the sequence of measurement data processing are presented. The method is based on recording the moments when the projectile passes over spatially separated observation points, followed by approximation of the flight trajectory using a system of parabolas. The proposed algorithm takes into account possible changes in the relative positions of the measurement points with respect to the ascending and descending branches of the trajectory, which makes it possible to partially compensate for random disturbances caused by instability of the initial velocity and other firing-related factors.
The effectiveness of the method is investigated by means of simulation modeling for a large-caliber artillery projectile, taking into account random disturbances of temporal parameters. It is shown that the use of a system of approximating parabolas provides estimation of the projectile impact point coordinates with an error on the order of fractions of a percent of the firing range. A comparative analysis with the traditional method of compensating random disturbances by successive corrective shots is carried out, and the results of a field experiment involving the registration of ballistic wave signals are presented. The obtained results confirm the fundamental possibility of verifying an artillery shot using a single firing with acceptable accuracy.
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Chapter 8
Published
June 19, 2026
Copyright (c) 2026 Pavlo Gultsov, Viktor Boltenkov, Yevhenii Dobrynin, Oleksii Maksymov
How to Cite
Gultsov, P., Boltenkov, V., Dobrynin, Y., & Maksymov, O. (2026). Method of parabolic approximation for determining the impact point coordinates of an artillery projectile. In M. Maksymov, P. Gultsov, O. Toshev, O. Sidelnykov, R. Riaboshapka, O. Brunetkin, V. Davydov, V. Demydenko, M. Maksymov, O. Maksymova, Y. Dobrynin, O. Maksymov, & V. Boltenkov, Simulation modeling of artillery systems for improving game simulators. From theory to practice (pp. 194-217). Scientific Route OÜ®. https://doi.org/10.21303/978-9908-8450-1-2.ch8
