Question 160782: Find an approximate value for the rate at which the moon orbits the earth. Assume that the moon's orbit is circular. Answer by MathLover1(20850) (Show Source):
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since the distance between the earth and moon is and the amount of days it takes the moon to orbit earth is , we will have
But, the moon's orbit is elliptical, not circular. So, above result is close. It should be a larger than that because of the elliptical orbit as opposed to circular.
One way you could look at it is that the of the moon is .
There are in a day, therefore .
