Question #112866

Saturn has a mass of 1.57x1027kg and its moon Titan has an orbital period of 15.945 Earth-days. What is the radius of Titan’s orbit in meters, assuming a circular orbit? (note: it's not, but it's eccentricity is only about 0.03)

Expert's answer

Where

R = radius of orbit

G = gravitational constant

M = mass of Saturn

T = time period

Putting all values

We get

"4.81\\times10^{10}\\times6.673\\times1.57\\times10^{16}=R^3\\\\or\\\\R^3=5.04\\times10^{27}\\\\=1.71\\times10^9\\ m"

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