Development of an Automated Information System for Calculating the Movement of a High-speed Small-sized Body

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Abstract

The article presents a variant of the development of an automated information system for mathematical modeling of the movement of a high-speed small-sized body based on differential equations and approximation of the trajectory of a high-speed small-sized body by numerical methods, as well as a comparative analysis of various options for numerical solutions. The automated information system allows calculating the flight trajectory coordinates of a high-speed small-sized body based on a differential equation, as well as determining the flight trajectory coordinates by the Euler method, using the Newton interpolation polynomial and the Lagrange interpolation polynomial. In the article, a search for a suitable variant of numerical solutions is carried out, as well as calculations of the movement of a high-speed small-sized body under conditions of limited time for decision-making. The substantiation of the use of an automated information system to automate the calculation and analysis of the movement of a high-speed small-sized body is carried out. While designing an automated information system for calculating and analyzing the flight of a high-speed small-sized body, it is proposed to apply four modules for calculating the flight trajectory of a high-speed small-sized body by numerical methods and a module for comparative analysis and making the results of the optimal variant. The proposed automated information system should provide users with uninterrupted operation, a convenient interface, the required system response time to a request, and the creation of necessary reports. The reports should reflect all types of calculations, as well as a comparative analysis with the choice of the optimal option for calculating the flight path of a high-speed small-sized body. An automated information system is needed to improve the quality of calculations and analysis of movement in the development of new and modernization of existing small arms.

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About the authors

Olga B. Shalaginova

St. Petersburg University of the Ministry of Internal Affairs of Russia

Email: shalaginova1337@yandex.ru
Cand. Sci. (Phys.-Math.), Associate Professor; associate professor at the Department of Mathematics and Informatics St. Petersburg, Russian Federation

Roman E. Stakhno

St. Petersburg University of the Ministry of Internal Affairs of Russia

Email: stahno.spumvd@bk.ru
Cand. Sci. (Eng.), Associate Professor; deputy Head at the Department of Mathematics and Informatics St. Petersburg, Russian Federation

Artem A. Gonchar

St. Petersburg University of the Ministry of Internal Affairs of Russia

Email: gonchar.tema@yandex.ru
Sci. (Military); associate professor at the Department of Mathematics and Informatics St. Petersburg, Russian Federation

References

  1. Volkov E.A. Numerical methods: Textbook for universities. 6th ed., ster. St. Petersburg: Lan, 2021. 252 p.
  2. Zharova N.R., Kuznetsova L.G. Differential Equations: Textbook. Ed. 3rd, rev. and add. Nizhnevartovsk: Nizhnevartovsk State University Publishing House, 2014. 147 p.

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