Does the Moon have natural satellites? If not, why not?

According to observations during total lunar eclipses, it is shown that the Moon has no natural satellites, the diameter of which is more than 30 meters.
The moon cannot have a long-term existence of satellites. The earth with its gravitational field perturbs high-orbit satellites, and low orbits are unstable due to the presence of mascons. They cause a gradual descent of perilune (the lowest point of the circumlunar orbit).