Trajectories of particles for a steady state solution of an equal-mass adiabatic case (left: without Coriolis force and middle: with Coriolis force) and an equal-mass isothermal case (right) in the midplane around the inner Lagrangian point, plotted over the density distribution. The particles are initially distributed following the same distribution of the initial density profile over a region with ${10}^{-3}\lesssim \stackrel{\sim }{\rho }\lesssim 20$ and their trajectories are integrated for $\stackrel{\sim }{t}\simeq 20$ since the flow reaches a steady state, assuming the particles are advected with the gas. Crosses at one end of the lines indicate the initial locations of the particles. We distinguish particles that reach beyond the Lagrangian point (yellow) from those that remain inside the donor (orange) over the integration duration.