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The Kiel/Potsdam code for expanding atmospheres in non-LTE is extended by a consistent hydrodynamic treatment of radiatively accelerated atmospheres. The stationary momentum equation is solved under consideration of the radiation pressure from the non-LTE radiation transport. A hydrodynamic atmosphere model for the O-star zeta-Puppis is calculated under consideration of complex model atoms of H, He, C, N, O, Si and the iron group elements.