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.
Keywords:automated information system, differential equation, Bernoulli method, Euler method, Newton interpolation polynomial, Lagrange interpolation polynomial.