Based on numerical simulations of a supernova explosion, we investigate the shock-wave
breakout through the stellar surface. The computations have been performed in a wide range of explosion
energies and presupernova masses. The results are compared with the classical Gandelman–Frank-
Kamenetsky self-similar solution. We have determined the dependence of an arbitrary coefficient in the self-
similar solution on the explosion energy and presupernova structure. The derived analytical approximation
formula for this coefficient can be used to estimate the supernova explosion energy from such parameters of
the ejected envelope determined from astronomical observations as its maximum expansion velocity and
the density distribution along its outer edge. The formula may prove to be also useful in studying the
X-ray and gamma-ray bursts that accompany the shock-wave breakout through the surface of compact
presupernovae.

EB00000003789K

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• Dependence of the Acceleration of the Outer Edge of a Stellar Envelope on Supernova Explosion Energy