Collisionless plasma cloud expansion into an extremely rarefied ionized med
ium is considered in the presence of a magnetic field when the medium is in
motion and the cloud is retarded because of the electromagnetic interactio
ns. The collisionless flow is computed on the basis of a hybrid model, in w
hich the ionic motions are considered by means of kinetic equations and the
electrons are governed by a hydrodynamic equation. The hybrid model of col
lisionless interaction between multicharged plasma flows in a magnetic fiel
d is presented.