For many years now, individual eyewitnesses, as well as crews of aircraft and ships, astronomers, meteorologists and operators of radar stations from different countries have been observing unusual (anomalous) phenomena in the atmosphere and outer space, the bulk of which are associated with the flights of some unknown objects of the correct geometric shape, called "Unidentified flying objects" --- UFOs. At the same time, it turns out that in a number of cases, the observed objects with the most thorough examination cannot be identified either with natural phenomena or with technical experiments, and they still have not received an acceptable explanation.