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The rings of Saturn consist of myriad small particles, with each particle followingits own circular orbit in Saturns equatorial plane. The inner edge of the innermostring is about 70,000 km from Saturns center; the outer edge of the outermost ring is about135,000 km from the center.

(a) Find the ratio of the orbital period of the outermost particles to that of the innermostparticles.

(b) Spectroscopic studies indicate that the outermost particles have a speed of 17 km/s. Using the data in this problem, find the mass of Saturn. Express your answer result in kgand as a multiple of Earth's mass, ME.

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