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Bifurcations of periodic orbits and potential stability regions in Kuiper belt dynamics

Published online by Cambridge University Press:  28 February 2005

Thomas A. Kotoulas
Affiliation:
Section of Astrophysics,Astronomy and Mechanics, Department of Physics, University of Thessaloniki, GR-541 24 Thessaloniki, Greece email: [email protected], [email protected]
George Voyatzis
Affiliation:
Section of Astrophysics,Astronomy and Mechanics, Department of Physics, University of Thessaloniki, GR-541 24 Thessaloniki, Greece email: [email protected], [email protected]
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Abstract

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In the framework of the restricted three body problem, the resonant periodic orbits associated with the Kuiper belt dynamics are studied. Particularly, all the first, second and third order exterior mean motion resonances with Neptune located up to 50A.U. and the asymmetric resonances (beyond the 48 A.U.) are considered. We present the bifurcation points of families of periodic orbits of the planar circular problem from which families of periodic orbits are generated in the planar elliptic and in the 3D circular problem. Similarities and differences between the various resonant cases are noticed. The relation between the distribution of the bifurcation points and the population of small bodies at the particular resonances is discussed.To search for other articles by the author(s) go to: http://adsabs.harvard.edu/abstract_service.html

Type
Contributed Papers
Copyright
© 2005 International Astronomical Union