A shearing sheet model for the gravitational instanbility of the dust layer in a protoplanetary disk

Abstract

Numerical simulation of the gravitational instability of the dust layer in a protoplanetary disk is performed assuming that the turbulence is sufficiently weak. Cartesian coordinates which rotate with the local Keplerian velocity are used. The static equilibrium is assumed for the direction of the rotational axis of the disk. One fluid model of dust and gas is assumed. The shearing box boundary condition is used. The results for various parameters are presented.