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## Homework Statement

During an Apollo lunar landing mission, the command module continued to orbit the Moon at an altitude of about 100km. How long did it take to go around the Moon once?

Rm= 1.74x10^6 m

Mm= 7.35x10^22 kg

G= 6.67x10^-11

r= Rm + 100,000 m

## Homework Equations

v= sqrt(Gm/r)

V=2pi*r/t

## The Attempt at a Solution

after using the first equation, i got v= 1,679 m/s

i plugged this into the second equation to solve for T, and got

T= 2.9x10^9 s

This seems way too high to be the answer...