Temporary Capture into Resonance
It seems likely that some pairs of satellites of Uranus have been temporarily captured into resonance in the past. In order to analyze these temporary captures, one must modify the model constructed for the capture into resonance of the satellites of Jupiter and Saturn. The key factor is the value of the oblateness of Uranus which is smaller than the corresponding value for Jupiter or Saturn. The smaller value allows some overlap of nearby resonances producing chaos and secondary resonances. The secondary resonances are instrumental in dragging the captured orbit back to the chaotic layer surrounding the primary resonance from which it can escape in the regular region outside the resonance.
KeywordsPrimary Resonance Tidal Effect Secondary Resonance Regular Region Orbital Resonance
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