The tiny Saturnian moon, Atlas, is locked into what is

Chapter , Problem 26

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The tiny Saturnian moon, Atlas, is locked into what is known as an orbital resonance with another moon, Mimas, whose orbit lies outside that of Atlas. The ratio between periods of these orbits is 3:2, that is, for every 3 orbits of Atlas, Mimas completes 2 orbits. Thus, Atlas, Mimas and Saturn are aligned at intervals equal to two orbital periods of Atlas. If Mimas orbits Saturn at a radius of 186,000 km, what is the radius of Atlass orbit?

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