Abstract
A possible mechanism to explain the depletion of the Kirkwood gaps in the asteroid belt would be the slow dissipation of the solar nebula at the origin of the Solar System. The effects of this dissipation on a uniform distribution of asteroids are explored by means of the adiabatic invariant theory for the 2/1, 3/1 and 5/2 resonance cases. The framework is the restricted, circular and planar three body problem.
Similar content being viewed by others
References
ABU-EL-ATA N. and CHAPRONT J. (1975):Astron. et Astrophys.,30, 57–68
CAMERON A.G.W. (1978): ‘Physics of the primitive Solar accretion disk’,The Moon and the Planets,18 5–40
HENRARD J. (1982): ‘Capture into resonance: an extension of the use of adiabatic invariants’,Celest. Mech.,27, 3–22
HENRARD J. and LEMAITRE A. (1983a): ‘A Second Fundamental Model of Resonance’,Celest. Mech. 30, 197–218
HENRARD J. and LEMAITRE A. (1983b): ‘A Mechanism of formation for the Kirkwood gaps’,ICARUS,55, 482–494
LASS H. and BLITZER L. (1983): ‘The gravitational potential in uniform disks and rings’,Celest. Mech.,30, 225–228
LEMAITRE A. (1983): ‘High order resonances in the restricted three body problem,’Celest. Mech. 32, 109–126
POINCARE H. (1902): ‘Sur les planetes du type d'Hécube’,Bulletin Astronomique, T XIX
SCHUBART J. (1966): ‘Special cases of the restricted three body problem’Proc. Symposium IAU 25, 187–193
WEIDENSCHILLING S.J. (1977): ‘The distribution of mass in the planetary system and solar nebula’,Astrophys. and Space Science,51, 153–158
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lemaitre, A. Formation of the Kirkwood gaps in the asteroid belt. Celestial Mechanics 34, 329–341 (1984). https://doi.org/10.1007/BF01235812
Issue Date:
DOI: https://doi.org/10.1007/BF01235812