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The moon Io orbits Jupitor at a distance of 421800 Km with period 1.769 days. If...

The moon Io orbits Jupitor at a distance of 421800 Km with period 1.769 days. If the Ganymede orbits Jupiter at a distance of 1070400 Km, what is its period?

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Answer #1

We know from keplers third law that

where T is the time period and 'r' is the radius of orbit

From the above equatio it is clearly visible that T2 ? r3 that is T ? r3/2

So T = 1.769*(1070400/421800)3/2 = 7.15 earth days

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