Ejection speed distributions from the two scattering simulations shown in Figure 8 (left) and Figure 9 (right). The black histograms represent the simulated distributions. The theoretical rms ejection speeds v_eje, computed using Equation (68), are shown as red solid lines, while the numerical v_rms values are shown as black solid lines. Median ejection speeds ﹩\tilde{v}﹩ are indicated by black dashed lines. In both simulations, the planet is placed on a circular orbit with a_p = 1 au, corresponding to an orbital speed of v_p ≈ 30 km s⁻¹.