Suppose humans are successful in living on the moon. They would need GPS just like on Earth to be able to navigate to “Moonmart”. They launch a 500 kg satellite in a geosynchronous orbit around the moon. Assume the Moon’s mass is 7.35x1022 kg.The moon takes 708.7 hours to make 1 rotation, or 2,551,320 seconds. What is the satellite’s orbit radius? What is the satellite’s orbit speed? After 20 years, a newer GPS satellite is built, and they want to get rid of the old one. How much energy is needed for the original satellite to escape its moon orbit?

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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Suppose humans are successful in living on the moon. They would need GPS just like on Earth to be able to navigate to “Moonmart”. They launch a 500 kg satellite in a geosynchronous orbit around the moon. Assume the Moon’s mass is 7.35x1022 kg.The moon takes 708.7 hours to make 1 rotation, or 2,551,320 seconds.

  1. What is the satellite’s orbit radius? 
  2. What is the satellite’s orbit speed? 
  3. After 20 years, a newer GPS satellite is built, and they want to get rid of the old one. How much energy is needed for the original satellite to escape its moon orbit?
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