First time on PSE, and forgive me if the question doesn't make sense.
Everything I've read, and the explanations make perfect intuitive sense, for why the moon is moving away from the earth is because there is a transference of energy from the phase shift in the oceans caused by the water's viscosity to the orbit; that the interplay between the faster spinning earth, the viscosity of the oceans, and the tidal pull from the moon is basically pulling the moon faster, hence sending it to a higher orbit.
My question is thus: assuming the earth has plenty of energy, shouldn't the moon be approaching a geosynchronous orbit, which is almost 1/10 of the current distance to the moon? Thus why isn't the moon being pulled toward the earth instead? I'm sure I'm overlooking some elementary fact.
Maybe my question is boiled down to "how do you move a satellite into a lower orbit?"?