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It is pointed out that (1) unlike the case of near circular orbits, the J32 term does not dominate the 2 1 mean motion resonance problem (intermediate period motion), and that (2) instead of the J22 terms, the resonant tesseral harmonics dominate the critical inclination problem (long period motion).
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As a consequence, they eventually end up locked in a mean motion resonance.
One of the most important results of this mission is a confirmation of the mean motion resonance dust ring, and an isolation of the leading and trailing blobs in the mean motion resonance feature.
The nearly 1 3 ratio between 55 Cancri b and c is apparently a near resonance, rather than a genuine mean motion resonance.
However, these high order SRFs have resonance problems.
These problems include the most complicated and inadequately studied problems known as critical (or resonance) problems [1 4].
The orbital eccentricity of Europa is continuously pumped by its mean-motion resonance with Io.
Some mean-motion resonances, rather than dispersing asteroids, are observed to collect them.
Those so-called Kirkwood gaps are due to mean-motion resonances with Jupiter's orbital period.
Combinations of mean-motion and secular resonances can either result in long-term stabilization of asteroid orbits at certain mean-motion resonances, as is evidenced by the Hungaria, Cybele, Hilda, and Trojan asteroid groups, or cause the orbits to evolve away from the resonances, as is evidenced by the Kirkwood gaps.
The main gaps occur at the 3 1, 5 2, 7 3, and 2 1 mean-motion resonances with Jupiter.
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