Research paper. Academic and Applied Research in Military Science, Vol. 3, No. 3 (2004) p. 407–414.In this paper a mathematical model of firing phenomenon is presented, using the physical law of powder burning. On the base of the mathematical model an interior ballistic software was elaborated, which allows to study the variation of the powder gas pressure and the projectile velocity versus its displacement inside of grooved barrel and versus time. For an extant weapon, the theoretical results, obtained with the aid of this software and the experimental data are compared.Contents: Introduction. Mathematical model. Integration of the system of differential and algebraic equations. Results and conclusions.
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