Evolution of semi-major axis, eccentricity and rotation period of a 1   M_⊕ planet evolving around a 0.04   M_⊙ BD. Each solid line represents a planet with a different initial eccentricity. The initial semi-major axis for each case is a_switch, which increases with eccentricity. The dashed-dotted line represent the corotation radius and the dashed line the rotation period of the BD. The vertical lines show the time at which the eccentricity effects become negligible for each initial eccentricity.