An Analytical Method for Determining the Conditions of Long-Term Orbital Existence of Technogenic Nanoparticles Injected into Near-Earth Space in a High Circular Orbit

The paper analytically determines, based on the use of "drift" equations of motion, the conditions for the implementation of two possible modes of long-term orbital existence of technogenic nanoparticles injected into near-Earth space in a high circular orbit in the ring current region and not going beyond this region during orbital motion. It is shown that, in each of these modes, the leading center of the nanoparticle, without reaching the dense layers of the atmosphere, in the leading plane periodically oscillates along the segment of the geomagnetic field line between the "mirror points," which, in one mode, are located in the northern and southern hemispheres, and, in the other, in the same hemisphere as the point injection. The correctness of the formulated conditions is confirmed by comparison with the results of the corresponding numerical experiments.