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Application Integration Method for the Calculation of Flight Projectile

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Abstract

The main aim of this work was to use of integration methods for the calculation movement of the projectile at a time with the influence of wind, Coriolis Inertial force due to rotation of the Earth, the reactive force and the gravitational acceleration. When the projectile moves in the atmosphere with the wind, the velocity of air flow will not only be determined by projectile velocity, but the wind. The paper uses the fourth-degree Runge-Kut method for the integration of certain differential equations. Computer error is proportional to the number of steps n and to the fourth degree of integration steps. Allowable error is proportional to the number of steps and fourth steps of the maximum degree of integration. Based on the computer error e and allowed error g, certain interval, instead with step h is calculated with this step. The proposed solution provides the necessary accuracy of the budget and saves resources. This model allows the numerical integration of the equations for a shorter time than the model with six degrees of freedom and model of modified material point.

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Correspondence to Srđan Jović.

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Regodić, D., Spalević, P., Milić, D. et al. Application Integration Method for the Calculation of Flight Projectile. J Astronaut Sci 67, 1189–1205 (2020). https://doi.org/10.1007/s40295-020-00221-4

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  • DOI: https://doi.org/10.1007/s40295-020-00221-4

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