Impact flows and crater scaling on the moon

The axisymmetric distribution of stress, internal energy, and particle velocity resulting from the impact of an iron meteoroid with a gabbroic anorthosite lunar crust has been calculated for the regime in which shock-induced melting and vaporization take place. Comparison of impact flow fields, with phase changes in silicates taken into account, with earlier results demonstrate that in the phase-change case where the 15-km/s projectile has penetrated some two projectile radii into the moon, the peak stress in the flow is about 0.66 Mbar at a depth of 66 km, and the stress has decayed to about 66 kbar at a depth of 47 km. Rapid attenuation occurs because of the high rarefaction velocity of the high-pressure phases associated with a 35% (zero-pressure) density increase. This feature of the phase-change flow tends to concentrate strongly the maximum shock pressures along the meteoroid trajectory (axis) and makes the conical zone along which high internal energy deposition occurs both shallow and narrow. Examination of the gravitational energies required to excavate larger craters on the moon indicates the importance of gravity forces acting during the excavation of craters having radii in the range greater than about 2 to 140 km.