  We consider an optically thin radiation-supported levitating atmosphere
suspended well above the stellar surface, as discussed recently in the
Schwarzschild metric for a star of luminosity close to the Eddington value.
Assuming the atmosphere to be geometrically thin and polytropic, we investigate
the eigenmodes and calculate the frequencies of the oscillations of the
atmosphere in Newtonian formalism. The ratio of the two lowest eigenfrequencies
is $\sqrt{\gamma+1}$, i.e., it only depends on the adiabatic index.
