Comparison between the one-layer (blue) and the two-layer (orange) models. Secular evolution of a system formed by a 0.6 M⊙ star with initial rotation period P*,ini = 1.2 days and a 5 MJup planet initially orbiting at a distance aini = 0.024 AU. Top panel: semi-major axis (solid lines) and corotation radius of the star (dashed lines). Bottom panel: difference tothe rotation period in the case without the planet, as defined in Eq. (24).
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