  We identify the asymptotic limit of the compressible non-isentropic
Navier-Stokes system in the regime of low Mach, low Froude and high Reynolds
number. The system is driven by a long range gravitational potential. We show
convergence to an anelastic system for ill-prepared initial data. The proof is
based on frequency localized Strichartz estimates for the acoustic equation
based on the recent work of Metcalfe and Tataru.
