Top: osculating semimajor axis a vs. eccentricity e showing long-term evolution of Apophis-like orbits, after 10Myr. The curves correspond to the boundaries of the NEO space (q < 1.3 au, Q > 0.983 au) and of the adjacent Mars-crossing population. The dotted vertical lines correspond to locations of various mean-motion resonances, including the ν₆ secular resonance. The majority of the 100 clones of Apophis remain in the NEO (or Mars-crossing) space; the respective orbit is relatively long-lived. Bottom: number of Apophis clones N vs. time t. The corresponding e-folding timescale is -30 Myr or 50 Myr, respectively, depending on whether or not planetary impacts were used as a criterion for the removal of bodies.