Abstract
In the last few years, reasonable success has been achieved in explaining the gaps in semimajor axis distribution of the asteroids. Wisdom (1982, 1983) introduced a mapping technique to study the behavior of bodies at the 3:1 mean motion resonance, which others modified and applied to other gaps (Murray, 1986). They and other researchers (Henrard et al, 1987, 1989; Lemaitre and Henrard, 1987) have also reached the conclusion that the formation of the gaps can be explained by removal of chaotic objects.
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References
Benettin, G. Galgani, L., Strelcyn, J., 1976, Kolmogorov entropy and numerical experiments, Phys. Rev. A. 14, no. 6: 2338.
Franklin, F., Lecar, M., Soper, P., 1989, On the original distribution of the asteroids II, Do stable orbits exist between Jupiter and Saturn, Icarus 79: 223.
Froeschlé, C., Scholl, H., 1979, New numerical experiments to deplete the outer part of the asteroidal belt, Astron. Astrophys. 72: 246.
Froeschlé, C., Greenberg, R., 1989, Mean motion resonances, in: “Asteroids IP”, R. Binzel, T. Gehrels. M.S. Matthews (eds.) The University of Arizona Press, Tucson.
Henrard, J.; Caranicolas, N.D., 1989, Motion near the 3/1 resonance of the planar elliptic restricted three body problem, Celestial Mech. and Dyn. Astron. 47: 99.
Henrard, J., Lemaitre, A., 1987, A perturbative treatment for the 2/1 Jovian resonance, Icarus 69: 266.
Lecar, M., Franklin, F.A., 1973, On the original distribution of asteroids, Icarus 20: 422.
Lecar, M., Franklin, F., Soper, P., 1992, On the original distribution of the asteroids IV, Numerical experiments in the outer Asteroid Belt, Icarus 96: 234.
Lemaitre, A.; Henrard, J., 1987, The 3/2 resonance, Celestial Mech. 43, no. 1–4: 91.
Milani, A.; Nobili, A.M., 1985, The depletion of the outer asteroid belt, Astron. Astrophys. 144, no. 2: 261.
Milani, A.; Nobili, A.M., 1992, An example of stable chaos in the Solar System, Nature 357: 569.
Nobili, A.M., 1989, Dynamics of the outer Asteroid Belt, in: “Asteroids IP”, R. Binzel, T. Gehrels. M.S. Matthews (eds.) The University of Arizona Press, Tucson.
Murray, C.D., 1986, Structure of the 2:1 and 3:2 Jovian resonances, Icarus 65, no. 1: 70.
Ries, J.G., 1992, On the Depletion in the Outer Asteroid Belt and the Structure of the 4:3 Mean Motion Resonance, Dissertation, The University of Texas at Austin.
Szebehely, V., 1967, Theory of Orbits, Academic Press, New York.
Wetherill, G.W., 1989, Origin of the Asteroid Belt, in: “Asteroids II”, R. Binzel, T. Gehrels. M.S. Matthews (eds.) The University of Arizona Press, Tucson.
Wisdom, J., 1982, The origin of the Kirkwood gaps: a mapping for asteroidal motion near the 3/1 commensurability, Astron. J. 87: 577.
Wisdom, J., 1983, Chaotic behavior and the origin of the 3/1 Kirkwood gap, Icarus 56, no. 1: 51.
Yoshikawa, M., 1989, A survey of the motions of asteroids in the commensurabilities with Jupiter, Astron. Astrophys. 213, no. 1–2,: 436.
Yoshikawa, M., 1990, Motions of asteroids at the Kirkwood gaps. I. On the 3:1 resonance with Jupiter, Icarus 87: 78.
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Ries, J.G. (1995). On the Depletion of the Outer Asteroid Belt. In: Roy, A.E., Steves, B.A. (eds) From Newton to Chaos. NATO ASI Series, vol 336. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1085-1_14
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