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Two satellites S1 and S2 of masses m and 2m are orbiting the earth at distances...

Two satellites S1 and S2 of masses m and 2m are orbiting the earth at distances r and 2r,
respectively. Which satellite has the bigger angular momentum and by how much?

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Answer #1

Velocity of a satellite moving in an orbit of radius r is where M is mass of Earth, G is universal Gravitational constant.

Angular momentum, L = mvr where v is velocity of satellite, r is radius of orbit, m is mass of satellite.

Angular momentum of S1,

Angular momentum of S2,

We can see satellite S2 has bigger angular momentum.

Angular momentum of S2 is times that of S1.

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