The Effect of the Great Inequality on the Hecuba Gap

Details The Effect of the Great Inequality on the Hecuba Gap The Effect of the Great Inequality on the Hecuba Gap

Sep 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..69..187h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 69, Issue 1/2, p. 187-198 (1997).

Astronomy and Astrophysics

Astronomy

2

Kirkwood Gaps, Secondary Resonances, Chaotic Motion, Kirkwood Gaps, Secondary Resonances, Chaotic Motion

Scientific paper

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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