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Now children Arthur Clark has already covered the question in one of his 40's short story [again it might be later when plan Sri Lanka move] where the British contingent elects to remain behind on the moon after other depart thereby depriving Internal Revenue. In The Moon is a Harsh Mistress the local domes ran on their local times and travelers just made due. But the real question was adapting a time frame to the moon and then a coordinated time base. Much ado about nothing! Construct the time base clock to work unattended in moon conditions, then launch. Where it lands then becomes the Prime Meredian of the Moon