Surviving ratio against evolution time for prograde spinning Trojans (, upper left panel) and retrograde rotators (, upper right panel). In both panels, the drift rate increases from 0.4 to 4 AU/Gyr for lines from top right to bottom left. In the two lower panels, the surviving ratio at 1 Gyr is plotted against the drift rate (left) and cos^2/3γ/R (right). The black points are numbers from the integrations and the solid curve represents the numerical fit. The dashed line stands for the surviving ratio at 4.5 Gyr obtained by the extrapolation of Eq. (15). In the lower right panel, the solid curve is transformed from the dashed line in the left panel (surviving ratio at 4.5 Gyr) via Eq. (14). The red crosses represent the surviving ratio for γ = 0 ° ,R = 150 m and γ = 180 ° ,R = 150 m. The red horizontal dashed line indicates a surviving ratio of p = 1%.