The propagation of a shock wave induced by the explosion of a spherical charge is theoretically studied. On the basis of the proposed theory of an equivalent point-like explosion by applying the method of sewing to asymptotic expansions, we get the analytic dependence of the pressure on the leading edge of a shock wave on the distance on the whole infinite path of its propagation. The result derived agrees quite well with the experimental data for gas-filled volumes and charges made from condensed explosive substances.

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