Abstract
In recent years many efforts have been done in order to understand the dynamics of main-belt asteroids at first-order mean-motion resonances with Jupiter. The problem of interest is the almost absence of asteroids at the 2/1 resonance (Hecuba gap), and the existence of a well defined group at the 3/2 resonance (Hilda group). Although the basic dynamics of these two resonances is similar, we know now that their behavior is strongly associated to the secondary and secular resonances web inside the mean-motion resonance. The overlap of these secular and secondary resonances can explain the chaos observed at very high and very low eccentricities (e > 0.4 and e < 0.2) in both resonances (Morbidelli & Moons, 1993; Michtchenko & Ferraz-Mello, 1995). However, for intermediate eccentricities there exist a region of regularity, which is almost empty of asteroids in the 2/1 resonances, but it is populated in the 3/2 resonance.
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References
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© 1999 Springer Science+Business Media Dordrecht
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Roig, F., Ferraz-Mello, S. (1999). A Symplectic Mapping Approach for the Study of Stochasticity in Three Dimensional Asteroidal Resonances. In: Steves, B.A., Roy, A.E. (eds) The Dynamics of Small Bodies in the Solar System. NATO ASI Series, vol 522. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9221-5_3
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DOI: https://doi.org/10.1007/978-94-015-9221-5_3
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