Normalized impact speed a); incidence angle b); normal speed c); crater diameter d); impact density e); and crater density f) as functions of β. The exact variations with β (solid curves in red, orange, yellow, and green for v_enc = 10, 20, 30, and 40 km s^-1) are calculated using exact formulations with v_M = 1.0 km s^-1, d_min = 0.5 km, α_p = 1.75, ρ = 3.4 × 10^-25 km^-2, t = 3.7 Gyr, and d_c = 25 km. The approximate variations (dashed curves in the same color as the solid curves for the same v_enc) are calculated with the same parameters but using the approximate series of formulations. The fit variations (dotted curves in the same color as the solid curves for the same v_enc) are best fits of exact variations to the approximate formulations. All the variations are in terms of the relevant exact global averages (horizontal dotted lines).