Cratering erosion of planetary embryos

I have performed 3D numerical hydrodynamic simulations of impacts of stony projectiles on stony planar targets in a range of impact velocities from 1.25 to 60 km/s. The projectile and target masses ejected at speeds greater than some given values have been calculated. This provided a possibility to determine impact erosion of a target which undergoes bombardment with comparatively small bodies. The relative losses of target masses and masses of retained projectile material have been averaged over impact angles and approximated by analytical formulas as functions of impact and escape velocities. The balance between escaped material of a target and retained material of a projectile determines growth or reduction of a target mass. The target cratering erosion predominates over the projectile retention when the impacts have velocities of more than 3–5 times the escape velocity of a target. The results can be applied to collisions of planetary embryos with planetesimals, which have higher velocities than embryo–embryo impacts. Estimates for impact velocities 1–10 km/s show that while large embryos accrete planetesimals smaller embryos erode and can completely vanish or partly lose their silicate shells if they are differentiated. Application of calculated erosion efficiency to Mercury made it possible to test a hypothesis (Vityazev, A.V., Pechernikova, G.V., Safronov, V.S. [1988]. Formation of Mercury and removal of its silicate shell. In: Vilas, F., Chapman, C.R., Matthews, M.S. (Eds.), Mercury. Univ. Arizona Press., Tucson, pp. 667−669) that differentiated massive proto-Mercury has lost its mantle due to collisions with objects of moderate sizes. It turned out that in order for this to happen, relative collision velocities must exceed 25 km/s. As alternatives to the widely-known hypothesis of a giant impact on a massive proto-Mercury, other possibilities are considered, which do not require such high speeds. The first one is formation of a number of small-sized metal-rich embryos which lose their silicate shells due to cratering erosion. The second is that a small proto-Mercury was metallic and gained its mantle at the latest stage of its accumulation when it grew so large that the erosion became ineffective.

► 3D numerical simulations of impacts on stony planar targets at 1.25–60 km/s.
► Target cratering erosion occurs at impact speeds of 3–5 times the escape velocity.
► While large embryos accrete planetesimals, smaller embryos erode and vanish.
► Formation of small metal-rich embryos at Mercury zone due to cratering erosion.
► Proto-Mercury could be metallic and gain its mantle at the late stage of accretion.