Approximate spherical blast theory including source mass

Equations including source mass are presented for strong spherical blasts in cases where the source mass is not negligible. Analytic solutions are obtained for shock speed, position, and overpressure as a function of radius. Approximations similar to those used in the Taylor−Sedov approximate theory are employed. Shock positions as functions of time are obtained via evaluation of incomplete elliptic integrals. Sample calculations are presented for a laser−initiated 1−MJ (debris energy) pellet microexplosion, and compared to Taylor−Sedov approximate theory solutions.