Illustration of the evolution of Q′_* as function of time for the different models considered. In orange our stellar model combined to the upper boundary of the planetary tidal dissipation found previously Q′_* = 3 × 10⁵. In black our stellar model is combined to the lower value of the planetary dissipation Q′_* → ∞. We can notice that the black and orange line are close to be superimposed. In green is represented the model with σ_* = const, as done in Bolmont & Mathis (2016), the constant was calibrated at value in the MS (σ_* = 5.536 × 10⁻⁶⁶ at t = 0.83 Gyr). Finally the shaded areas correspond to the different evolutionary phases of the star, in yellow the MS, in orange, the sub-Giant phase, and in red the RGB phase.