Why no orbital resonances among the satellites of Uranus?

Physics – Geophysics

Scientific paper

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Gravitational Effects, Orbital Resonances (Celestial Mechanics), Resonance, Tides, Uranus (Planet), Uranus Satellites, Eccentric Orbits, Orbital Mechanics

Scientific paper

Most of the orbital resonances among the satellites of the major planets are thought to be assembled by differential tidal expansion of their orbits. Why this has not occurred for the Uranus system can be investigated by determining the resonances which would be encountered for various values of Uranus' tidal effective Q. The comparison and the possible escape of Ariel-Umbriel from the 5:3 resonance mean that it is not unreasonable that no orbital resonances are found among these satellites.

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