Newton's laws in Astronomy?

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gabbyg

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Please HELP me I have no idea how to solve this problem and all answers are welcomed. but please give the answer to this problem and show the work so i can understand how to do it. THANKS! 3)Use Newton’s modification of Kepler’s third law to calculate the mass of the Earth. The Moon is 3.9x108 m away from Earth and the Moon has a period of 27.33 days. Compare your calculated value with the actual value of 5.98x1024 kg. Hint: use the radius from the center of the Earth to the center of the Moon is: 3.90x108 m; the period of the Moon around the Earth is: 27.3 days or 2.36x106 seconds
 
The formula to use is P^2 = 4pi^2 a^3/GM, where P is the period, a the distance to the Moon and M the mass of the Earth. Remember to use the correct units (seconds, kg and meter)
 
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