It is known, from observational data recorded from airbursts, that small as
teroids breakup at dynamical pressures lower than their mechanical strength
. This means that actual theoretical models are inconsistent with observati
ons. In this paper, we present a detailed discussion about data recorded fr
om airbursts and about several theoretical models. We extend and improve a
theory previously outlined for the fragmentation of small asteroids in the
Earth atmosphere. The new condition for fragmentation is given by the shock
wave-turbulence interaction, which results in sudden outburst of the dynam
ical pressure.