Accurate dependence for determining the pressure distribution on a sphere at an arbitrary Mach number of a supersonic incoming flow

Setting of initial data is required for solution of stationary problems of supersonic flow over blunt bodies by time-dependent setting method. The closer the initial data are to the sought solution, the quicker such solution can be obtained. A rule of local spheres is applied in many cases when initial pressure on a blunt body of an arbitrary shape is taken the same as on a sphere with an equal incidence angle of respective elements of these surfaces to the incoming flow. A simple analytical dependence has been obtained which gives practically accurate pressure distribution jn a sphere for the whole range of Mach numbers of incoming flow.