The period of rotation of the Moon is about 27 days, 8 hrs. The mass of the Moon is 7.35 x 1022 kg, and the radius of the Moon is 1.74 x 106 m. I wish to place a synchronous (period of orbit = period of the Moon's rotation) satellite in orbit about the Moon.
a) Find the radius of the satellite's orbit.
b) Find the height of the satellite above the Moon's surface.