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The more distant clock would feel a weaker gravitational influence from Earth, so I think time would travel faster relative to the nearside of the moon.
Quote from: chris on 17/09/2013 23:26:09The more distant clock would feel a weaker gravitational influence from Earth, so I think time would travel faster relative to the nearside of the moon.I thought that initially.But, if you think of the tides (on Earth), the tides are essentially equal on opposite sides of the Earth. That means that on the two opposite sides of Earth, the gravity of the earth, moon, and the centrifugal force essentially all cancel themselves out (different from 90° offset)I assume it would be similar on the moon, EXCEPT that the moon itself is not uniform density. The denser side of the moon facing the Earth may have greater lunar gravity.
I *think* that if the moon were a perfect sphere then the gravitational effects would cancel. However, Clifford makes a good point about the clock on the far side traveling farther. My *guess* would be that it would go slower than the clock nearer the Earth.