Calculate the period of a satellite orbiting the moon, 94 km above the moon's surface. ignore effects of the earth. the radius of the moon is 1740 km.

Question

Physics

Yaritza Mays

2 September, 16:51

Calculate the period of a satellite orbiting the moon, 94 km above the moon's surface. ignore effects of the earth. the radius of the moon is 1740 km.

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Answers (1)

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Dominique Lang · Answer 1

First we calculate the effective radius R:

R = 1740+94 = 1834 km = 1.834E6 m

Then taking the mass of the moon:

M = mass of moon = 7.348E22 kg

We then calculate the period using the formula:

T = 2π√[R³ / (GM) ] = 7049.3 sec = 1.96 hr