  Second Stokes problem about behaviour of rarefied gas filling half-space is
analytically solved. A plane limiting half-space makes harmonious fluctuations
in the plane. The kinetic equation with modelling integral collisions in form
of ellipsoidal statistical model is used . The case of diffusion reflexions of
gas molecules from a wall is considered. Function distribution of gas molecules
is constructed and mass velocity of gas also in half-space is found.
Hydrodynamic character of the solution at small frequencies of fluctuation
plane limiting gas is revealed. The force of a friction operating from gas on
border making in the plane oscillatory movement is found.
