Shock waves in earth's atmosphere

The general case of a spherical shock wave produced by some means at a given altitude is put into equations, and results of numerical integration are presented. It is shown that the troposphere behaves as a homogeneous atmosphere and the shock decays in all directions. In the vertically upward direction, the shock wave first decays and then accelerates. Nonuniformities of the atmosphere have a destabilizing effect on the shock front moving in the vertically upward direction.