Influence of tangential and normal components of wind speed on the flight distance of the projectile

Abstract

Based on the mathematical model proposed by the authors for determining the force of frontal air resistance motion of the projectile, the influence of the accompanying (oncoming) wind on its flight range is investigated.
 Because the nature of the behavior of the frontal air resistance depends significantly on the speed of the projectile supersonic, subsonic or subsonic, then the functional dependence of the frontal air resistance force on
 speeds are described separately for each in particular. Values of characteristic functional coefficients dependencies are determined using the results of polygon studies, which are given in the tables shooting
 In the works of other authors, the magnitude of displacements of the flight range of the projectile due to the action of the companion (oncoming) wind was determined using certain dependencies. The values of correction coefficients and resistance coefficient was determined experimentally with a certain accuracy. In addition, pressure was not taken into account of wind on the side surface of the projectile and the influence of wind speed on the speed of sound in air, the latter depends on the direction of movement of the projectile in space.
 The work considers the influence of the tangential and normal components of the accompanying (oncoming) wind, in relation to the projectile's trajectory, to its dynamics. The effect of wind speed is also taken into account at the speed of sound in air.
 The obtained theoretical results allow us to state that the normal component of the wind is significant affects the flight range of the projectile if its trajectory is convex.
 The effect of the normal component of the speed of the accompanying (oncoming) wind on the movement of the projectile is not significant, if the trajectory of the projectile is flat. However, in the case of projectile movement along a convex trajectory, its influence becomes significant Discrepancies between the tabular displacements of projectile flight distances due to the action of the companion of (oncoming) wind given in the firing tables, and displacements of projectile flight range determined at taking into account the tangential and normal components of the wind and the effect of the wind on the speed of sound in the air is essential. The obtained theoretical studies allow to automate the process of solving the straight line or inverse problems of external ballistics with arbitrary deterministic and non-deterministic values factors.