MODELING THE OPTIMAL TRAJECTORY FOR HITTING A MOVING OBJECT

The task of hitting a target with an object of destruction is considered. At the same time, it is determined that a necessary condition for the solution is the need to hit the target with an object of damage normal to its trajectory of flat or spatial movement, which, by definition, will provide the greatest impact effect. Optimality conditions are formed from the principle of optimal control. A mathematical model is presented that makes it possible to find the parameters of the desired trajectory of the collision of the target object, based on the principles of solving the variational problem of predicting the most optimal path length, represented as an appropriate functional, taking into account the conditions of transversality. Computer modeling was performed and all parameters of the optimized trajectory for two-dimensional and three-dimensional problem formulation were determined using the developed program.