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Question

A satellite is in a circular orbit just above the surface of the Moon. What are the satellite's acceleration, speed, and the period of the satellite orbit?

Answer 1

Here are formulas no matter Moon or not.
Gravity force on satellite F=G*M*m/r^2, where G is gravity constant, M is mass of the Moon, m is mass of satellite, r is radius of the orbit; on the other hand F=m*a, where F is centripetal force, a=r*w^2 is acceleration to be found, w is angular speed around the Moon.
Thus m*a= G*M*m/r^2 or a= G*M/r^2;
w=sqrt(a/r) rad/s;
linear speed v=w*r=sqrt(a*r) m/s;
period T=2pi/w sec;
mind, m of satellite is not necessary!