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Analysis of a Simple Mechanism to Deplete the Kirkwood Gaps

Published online by Cambridge University Press:  12 April 2016

Anne Lemaitre
Anne Lemaitre*
Affiliation:
Department of Mathematics, Facultés Universitaires Notre-Dame de la Paix à Namur, Belgium, Aspirante F.N.R.S.

Extract

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In most applications resonance problems are implicitely or explicitely modelized by the Fundamental Model of Resonance i.e. the pendulum, characterized by its Hamiltonian function:

Type
Part III - Asteroids
Information
International Astronomical Union Colloquium , Volume 74: Dynamical Trapping and Evolution in the Solar System , 1983 , pp. 189 - 201
Copyright
Copyright © Reidel 1983

References

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Henrard, J.; 1982b. “The Adiabatic Invariant : Its use in Celestial Mechanics” in Application of Modern Dynamics to Celestial Mechanics and Astrodynamics (V. Szebehely editor). D. Reidel Publ. Co., Holland.Google Scholar
Henrard, J.; Lemaitre, A.; 1983. “A second fundamental model for resonance” submitted for publication in Celestial Mechanics, 30, 197.Google Scholar
Schubart, J.; 1966. “Special cases of the restricted problem of three bodies”, Proc. I.A.U., Symposium n° 25, 187–193.Google Scholar
Torbett, M.; Smoluchowski, R.; 1980. “Sweeping of the Jovian Resonances and the Evolution of the Asteroïds”, Icarus n° 44, 722–729.Google Scholar