Re: Problem with UTC
The meter is defined by the distance travelled by light in a second so you get a lunar meter as well
Nope, this is the one of the reasons why the definition of the metre was changed from the length of a metal bar (originally kept in France I believe) to the distance that light travels in vacuum in approximately a 300 millionth of a second. To an observer, light travelling in a vacuum must always travel at a velocity of c, so a metre is always exactly a metre, whatever your relativistic frame of reference is.
Unless you're talking about space time compression (gravitational waves for example.) Then it gets really confusing...