Influence of the atmospheric turbulence on the accuracy of the missile targeting

The article presents results of simulation of 6-DOF motion for a missile subjected to atmospheric turbulences. Therefore, an applied mathematical model of motion includes description of stochastic turbulences influencing on missile flight. Both models of the motion as well as of turbulences are shortly presented. Model validity was assessed by comparing the calculation results with the data recorded during shooting on the range. Result of series of simulations allows determining the missile sensitivity to this case of disturbances. Exemplary results of simulations are shown. The turbulence model assumes that the wind is dependent on time and space. This assumption is based on the Taylor's "frozen turbulence" hypothesis. The advection velocity of the turbulence is much greater than the velocity scale of the turbulence itself. The velocity has two component. In the article, the first component is omitted and the second is treated as the stochastic process representing atmospheric turbulence. To describe this turbulence Shinozuka's method was applied. Mathematical description of the missile motion, equations of translatory motion, External forces end moments, model of the turbulence are presented in the article.