The relative uncertainty in the period of a satellite orbiting around the earth is 10 - 2 . If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass o

Question

The relative uncertainty in the period of a satellite orbiting around the earth is 10 - 2 . If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass of the earth is:

TestHub · Accepted Answer

From Kepler's law, T 2 = 4 π 2 G M r 3 ∆ M M = 2 ∆ T T = 2 × 10 - 2

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