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Nasa to create time standard for the Moon, where seconds tick faster than on Earth
(www.independent.co.uk)
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We do, GMT.
This is a relativistic correction. Time on the moon runs very slightly faster than time on earth. This means that time on the moon will drift ahead of time on earth. By using a slightly longer second, lunar time will stay in sync with earth time.
Earth sees lunar seconds as too fast. The moon sees earth seconds as too long. Both are completely true. (Welcome to relativity)
For those that didn't take physics classes, or forgot.
In short, and oversimplified, the closer you are to a gravity source, the slower time passes for you.
The moon's location at X distance from center of the earth, versus the distance from the surface of the earth to the center of the earth, is enough to be quickly noticeable.
Fun fact, I believe that GPS satellites must also account for this (given that they are just fancy time measuring triangulation machines) and they are extremely close to the center of the earth, compared to the moon.