In the study by Chudnovskii et al. (Russ. J. Phys. Chem. B., 2012, no. 2), it was shown that transition electromagnetic radiation appears between the linear-accelerator diaphragm and a target. In this case, produced bremsstrahlung leads to the generation of high-energy gamma quanta on the accelerator target. The theoretical model of transition radiation that was developed in the aforementioned study and its experimental verification make it possible to closely approach the solution of the problem of detecting a beam-radiator source and determining its coordinates and engineering parameters. It is shown that for linear-accelerator pumping frequencies of 1, 3, and 10 GHz, the reliable location in space is possible for distances from the Earth's surface of 6000, 2400, and 600 km, respectively. In this case, the minimum signal-to-noise ratio must exceed 2-3.