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Investigate a possible resonance between Titan and Rhea whose periods of revolution are: Titan = 15.94d; Rhea = 4.518d. Express the resonance in terms of whole numbers and explain in words how it works.

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Titan/Rhea = 15.94/4.518 = 3.528/1

Rhea makes 3.528 resolutions for each revolution of Titan. Resonance is 3.528:1 Multiplying by 2 yields:

(3.528 x 2)/(1 x 2) = 7.056/2

(2 x 15.94 = 7.056 x 4.518

31.88 = 31.87

When Rhea and Titan are in conjunction as seen from Saturn and travel in their orbits for 31.88 days, they return into conjunction.

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