The preparation for the Cassini-Huygens mission gives an opportunity t
o revise the problem of an atmospheric entry and breakup of cratering
meteoroids. The numerical modeling of the meteoroid's flight through t
he atmosphere is presented in comparison with more simple models. The
simulation takes into account the brittle/ductile properties of the me
teoroid material: the Grady-Kipp-Melosh model of tensile failure is ac
companied with a simple model of the shear failure. The main differenc
e with previously published models consists in the treating of the pos
t-failure deformation of the damaged material as a flow of a cohesionl
ess media with a dry friction. Numerical results are used to make a pa
rameterization of a simple Grigorian-like model, which finally is appl
ied to predict the atmospheric shielding effect on Titan. For a modern
atmosphere of Titan and mostly ice projectiles the observable deficie
ncy of impact craters due to atmospheric shielding would be in the ran
ge of 6-8 km, where the number of craters would be two times smaller t
han for the airless Titan. (C) 1997 Elsevier Science Ltd.