by

The propagation of linear wave motions in inviscid, stratified, ideal gas atmospheres is described by obtaining the relevant propagators (or Green's functions for the initial value problem). The transient acoustic oscillations, buoyancy oscillations, and gravity waves for an unbounded non-rotating atmosphere are derived. Introduction of the hydrostatic assumption is found to eliminate the acoustic and buoyancy oscillations and modify the gravity wave. Time independent potential vorticity motions result for an atmos-phere in constant rotation, but these also lose their energy by radiation when the influence of the earth's variable vorticity is taken into accoun