Maximum single-cycle jump in the Kozai constant, ﹩{\rm{\max }}| {\rm{\Delta }}{C}_{{\rm{K}}}| ﹩ (35), versus ﹩({P}_{{\rm{out}}}/{P}_{{\rm{\sec }}})/{j}_{{\rm{\min }}}^{{\rm{DA}}}﹩ for two strong-tide families (circles and squares; tidal strength ε_Tide and outer eccentricity e₂ as labeled), each scanned over the inner-orbit inclination through j_z (both signs). Color encodes ∣j_z∣, and the legend lists the corresponding DA minimum angular momentum ﹩{j}_{{\rm{\min }}}^{{\rm{DA}}}﹩; all systems have C_K = 10⁻⁶, Ω = 180^∘, and pure tidal short-range forcing (ε_GR = ε_Rot = 0), isolating the tidal-bulge effect. The dashed line is ∣ΔC_K∣ = 5/2.