  We predict the Josephson vortex Cherenkov radiation of an electromagnetic
wave. We treat a long one--dimensional Josephson junction. We consider the wave
length of the radiated electromagnetic wave to be much less than the Josephson
penetration depth. We use for calculations the nonlocal Josephson
electrodynamics. We find the expression for the radiated power and for the
radiation friction force acting on a Josephson vortex and arising due to the
Cherenkov radiation. We calculate the relation between the density of the bias
current and the Josephson vortex velocity.
