The dangerous border of the 5:2 mean motion resonance

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After discovering that asteroid (2953) Vysheslavia, a Koronis family member, has a typical dynamical lifetime of the order of 10 Myr only against ``falling'' into the 5:2 Kirkwood gap and ending up in a hyperbolic orbit (Milani and Farinella, 1995. Icarus 114, 209-212), we decided to repeat the same study for two other asteroids, 1991 UA2 and 1993 FR58, lying also very close to the outer edge of the same resonance. The orbital elements of these bodies were not yet accurate enough and we appealed to observers, both professional and amateur, to obtain more astrometric data. Eight groups in three different countries carried out observations, and as a result the Minor Planet Center could derive updated, accurate orbits for both objects. Here we report on the preliminary results of our study. Whereas the long-term behavior of 1991 UA2 looks fairly regular and stable, 1993 FR58 exhibits a typical ``stable chaos'' behavior; nevertheless, it does not end up in the resonance within a time span of 50 Myr. On the other hand, its fictitious clones, placed just 3-4 × 10-3 AU closer to the resonance, undergo large irregular semimajor axis changes, fall into the resonance and escape on a timescale < 1 Myr.

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