  Jeans instability is derived for the case of a low density self-gravitating
gas beyond the Navier-Stokes equations. The Jeans instability criterium is
shown to depend on a Burnett coefficient if the formalism is taken up to fourth
order in the wave number. It is also shown that previously known viscosity
corrections to the Jeans wave-number are enhanced if the full fourth order
formalism is applied to the stability analysis.
