Efficiency of coherent vortices to trap dust particles in the solar nebula

We develop the idea proposed by Barge & Sommeria (1995) that large-scale vortices present in the solar nebula can concentrate dust particles and facilitate the formation of planetesimals and planets.We introduce an exact vortex solution of the incompressible Quick Key Set 2D Euler equation (Kida vortex) and study the motion of dust particles in that vortex.In particular, we derive an analytical expression of Cinnamon the capture time as a function of the friction coefficient and determine the parameters leading to an optimal capture.