Euphrosyne family in the space of proper elements (a_p, e_p, sinI_p). Family members were determined using the HCM method, with the cutoff velocity v_cut = 120 m s⁻¹. Colors correspond to the geometric albedo p_V (blue → yellow). Symbol sizes are proportional to diameters. Likely interlopers are also indicated (green crosses). There are numerous mean-motion resonances, namely J9/4, J11/5, J13/6, J15/7, J17/8, J2/1, as well as three-body resonances, 5J − 2S − 2, 7J − 2S − 3 (dotted or hatched) and the secular resonance ν₆ (gray). The ellipses (orange) are constant velocity curves with respect to (31) Euphrosyne, equal to the escape velocity v_esc ≐ 135 m s⁻¹ from the parent body; they were only slightly shifted in eccentricity to 0.19 and in inclination to 0.45. Their shape is also determined by the true anomaly f, and the argument of perihelion ω at the time of breakup. We show the values f = 0°, 30°, 60° (top panel); ω + f = 30°, 60°, and 90° (bottom panel).