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Abstract

The effects of the “great inequality” (the quasi-resonance between Jupiter and Saturn) on the motion in the 2/1 mean motion resonance with Jupiter (the Hecuba gap) is investigated. We confirm the proposition made by Ferraz-Mello and collaborators that the great inequality generates secondary resonances which are likely to produce the slow diffusion observed in numerical investigations. We identify, in the restricted three body problem, the frequencies responsible for these secondary resonances.

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© 1998 Springer Science+Business Media Dordrecht

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Henrard, J. (1998). The Effect of the Great Inequality on the Hecuba GAP. In: Yabushita, S., Henrard, J. (eds) Dynamics of Comets and Asteroids and Their Role in Earth History. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1321-4_14

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  • DOI: https://doi.org/10.1007/978-94-017-1321-4_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5081-6

  • Online ISBN: 978-94-017-1321-4

  • eBook Packages: Springer Book Archive

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