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During an Apollo lunar landing mission, the command module continued to orbit the Moon at an...

During an Apollo lunar landing mission, the command module continued to orbit the Moon at an altitude of about 100 km.  How long did it take to go around the Moon once?  (The mass of the moon is 7.35 ´1022kg and it’s radius is 1.74 ´106m.)  Explain why the command module does not fall down to the surface even when the engines are not firing.

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