On a problem of control of a heavy point moving in a medium with resistance proportional to the square of the speed

The article solves the problem of aiming at the target of a material point in a uniform gravity field, taking into account the resistance of the medium proportional to the square of the point velocity. The flight path is subject to phase constraints, which are that it lies in a certain band that does not intersect with the earth's surface and breaks off at a given target at a finite time. The results of a numerical experiment illustrating the effectiveness of the solution of the problem are presented.