Comparison of the evolution of systems in moderately eccentric orbits as predicted by the H02 and the S24 prescriptions. One system is subject to ZLK oscillations (blue and magenta lines), the other is not (violet and orange lines). The scale of the horizontal axis changes at t = 2.6 Myr and is chosen so as to focus on the part of the evolution where tidal effects are important. Upper panel: inner eccentricity evolution. Lower panel: Radius and Roche lobe radius evolution of the primary.