Number of planets that became unbound from their host star as a function of time. The number of planets that escaped their host within 0.5 Myr following a strong encounter (within 1500 au, red curve) is about twice as large as the planets thatescape without evidence of having experienced a strong encounter (black curve). The dotted black curves indicate thedependency on the timescale within which a strong encounter is supposed to lead to ejected planets; the lower curves indicate the cumulative distribution for planets that are liberated within 1 Myr of a close encounter, whereas the upper curve is for 0.2525 Myr).