Re: Problem with UTC
For a start, anything that counts seconds will diverge from UTC. Everything with its own time keeping would need to be modified to count lunar seconds instead. The meter is defined by the distance travelled by light in a second so you get a lunar meter as well. The kilogram is safe but a whole pile of derived units get lunar versions: velocity, momentum, force, energy, power, current, voltage, angular velocity, angular momentum... You get a new temperature scale or have to use different thermodynamic constants near the moon.
Life is actually easier if you keep the second in common and just accept that the conversion from Earth time to Moon time is not simply add a constant.