During the Apollo Moon landings, one astronaut remained withthe command module i

Question

During the Apollo Moon landings, one astronaut remained withthe command module in lunar orbit, about 130km above the surface.For half of each orbit, this astronaut was completely cut off fromthe rest of humanity, as the spacecraft rounded the far side of theMoon. How long did the period last? I got .0995 as my answer, but I know that can't be a correcttime. Any help would be greatly appreciated. During the Apollo Moon landings, one astronaut remained withthe command module in lunar orbit, about 130km above the surface.For half of each orbit, this astronaut was completely cut off fromthe rest of humanity, as the spacecraft rounded the far side of theMoon. How long did the period last? I got .0995 as my answer, but I know that can't be a correcttime. Any help would be greatly appreciated.

Explanation / Answer

Use the follow formula Mass = 7.36 * 10 ^ 22 kg
G Constant= 6.673 * 10 ^ -11
Distance in meters = 1737400 m
ro = (130000 + rM) m
Period: T^2 = ro^3 * 4 * pi^2/(GM)
T = Sqrt(ro ^ 3 * 4 * pi ^ 2 / (G * M))
= 7234.96 s

Half orbit period
= T/2 = 7234.96 /2 = 3617.48 s

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