A mathematical model of the propagation of laser radiation inside Luneburg lens in relative coordinate frame of reference has been developed. The trajectory of the beam propagation inside the lens, as well as angles of incidence, refraction and reflection have been defined. In addition to this on the basis of the data received we plotted some charts with the help of which one could determine the amount of the aberration of the beam, operation region of the lens, deviation of the beam from the detector after its propagation in the lens. It was shown that the deviation of the beam in the plane of the registration on the ground does not exceed 200 meters.