Evolution of the semi major axis and eccentricity as a function of time on, respectively, the top and bottom panel. Each curve represents the path taken by the planet with the different k_2,p∆t_p used in Fig. 5. The blue shaded areas are to the corresponding observed quantities. The yellow area corresponds to the stellar MS, the orange one is the stellar sub-Giant phase, and the red one is the stellar RGB phase. The age of the system corresponds to the end of these evolutionary sequences.