Abstract
A theoretical investigation is made of the radiation from a charge q moving along a magnetic field with a fast but nonrelativistic velocity v, the spatial dispersion of the dielectric tensor being taken into account. In addition to the peak of the well-known Cerenkov radiation, discrete peaks appear in the spectrum of radiation near frequencies ω=sωH(s≥2), which are the higher harmonics of the gyromagnetic frequency of the plasma electrons. The intensity of each peak is almost constant over several peaks which correspond to the harmonics number of the order of unity, and is given by
\fracq2ω02v×O(1),
ω0 being the plasma frequency.