Variation in the capture efficiency of MMRs under different ȧ_N. The horizontal axis represents the migration rate, ȧ_N, and the vertical axis represents the capture number per unit eccentricity, P_e, both on logarithmic scales. The seven MMRs with the strongest capture capability are denoted by colored lines, while the others are shown in gray. The average result across all MMRs is represented by the solid red line with triangular markers.