Abstract
It is proved that all the nearly circular orbits of asteroids at the resonances with Jupiter of the form (2n+1)/(2n−1), i.e. 3/1, 5/3,… are unstable and gaps in the distribution of the asteroids must be expected there. Since these resonant unstable orbits are very close to each other and have an accumulation point at the orbit of Jupiter, the space near Jupiter must be empty of asteroids. The resonant asteroid orbits, of the form (n+l)/n, i.e. 2/1, 3/2, 4/3,… are not necessarily all unstable, and concentrations of asteroids could appear, as is the case with the 3/2 resonance.
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© 1982 D. Reidel Publishing Company, Dordrecht, Holland
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Hadjidemetriou, J.D. (1982). On the Stability of the Asteroids. In: Mariolopoulos, E.G., Theocaris, P.S., Mavridis, L.N. (eds) Compendium in Astronomy. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7766-2_7
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DOI: https://doi.org/10.1007/978-94-009-7766-2_7
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