Case (3): tidal evolution of a planet of mass 1 M_⊕ orbiting a 0.08 M_⊙ BD calculated with the secular code (blue dashed line) and the Mercury-Tcode (full red line). Graph a) from top to bottom: evolution of semi-major axis (in red) and of the corotation distance (in black), evolution of eccentricity and evolution of tidal heat flux. Graph b) from top to bottom: evolution of the obliquity of the planet, evolution of its inclination and evolution of its rotation period (in red) and the BD rotation period (in black). The pseudo-synchronization period is represented in long red dashes.