Abstract
The process of finding ways to develop a highly efficient guided aviation missile, besides being cheap in production, has become the subject of scientific research of the Ministry of Defense research institutions and state enterprises of the defense industry of Ukraine over the last five years along. It is believed that one of the most promising directions of research is the process of targeting such a missile to the enemy's target in the laser beam. The results of the analysis of combat properties, tactical and technical characteristics of prototypes that were developed in the leading countries of the world, allowed the authors of the article to come to a conclusion on the development of a mathematical model of management of a hypothetical perspective, guided aviation missile in the field of laser radiation. There is a predictive mathematical model of control in the laser radiation field of the hypothetical advanced guided missile. This mathematical model is based on a solution of dynamic and kinematic differential equations system. The application of the model allows to define the requirements to the aerodynamic, mass-inertial characteristics of the missile, to improve the control algorithm, to develop the requirements to the components of the control system and the external guidance contour, to adjust the control algorithm taking into account the real characteristics of the missile, the parameters of the control system elements and guidance contour.
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