Time evolution of the semi-major axis (top panel), eccentricity (centre panel), and accretion rate (bottom panel) over the last 400 orbital periods for the binary case e = 0, q = 1 (first column) and e = 0.9, q = 1 (last column) and over the last 700 orbital periods for the binary case e = 0.45, q = 0.7 (central column). The orange and the blue lines refer to the simulation with and without the radiation pressure contribution, respectively. The semi-major axis has been normalised to set a(t = 900 P_B) = 1 since this is the point where our binaries start to accrete material.