A satellite orbiting the moon very near the surface has a period of 110 minutes. What is the...

Question:

A satellite orbiting the moon very near the surface has a period of {eq}110 \ min {/eq}.

What is the moon's acceleration due to gravity?

Period in a circular orbit

The period {eq}T {/eq} of body orbiting another more massive body of mass {eq}M {/eq} in a circular orbit with radius {eq}R {/eq} is

{eq}T = \dfrac{2\pi R^{3/2}}{\sqrt{GM}}, {/eq}

where {eq}G {/eq} is the gravitation constant.

Answer and Explanation:

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Let the surface of the moon be a distance {eq}R {/eq} from its center. Hence, we assume that the satellite orbiting the moon very near the surface is...

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Kepler's Three Laws of Planetary Motion

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Chapter 22 / Lesson 12
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