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Investigate whether any two of the known satellites of Uranus in Table 18.4 are “in resonance” with each other.

SatellitesPeriod of revolution, d
Miranda1.414
Ariel2.520
Umbriel4.144
Titania8.706
Oberon 13.463

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oberon/Titania = 13.463/8.706 = 1.546/1 = 3.09/2

Oberon: 2 revolution, Titana 3.0 revolutions

oberon/Umbriel = 13.463/4.144 = 3.2/1 = 6.497/2 = 12.99/4

Umbriel: Oberon: 4 revolutions, Umbriel:13 revolutions

Titania/Umbriel = 8.706/4.144 = 2.10/1 = 4.2/2(no resonance)

Many additional resonances remain to be discovered.

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