Originally Posted by Gerenuk
But somehow there are also rotational effects which cause the moon to sync with the earth. Not exactly sure how that works, but a different radius would make a difference.
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The effect is called tide-lock. I'm certainly no expert, but it seems to me that it depends upon the distribution of mass within one or both of the component bodies. That would, for instance, imply that the near side of the moon is slightly more massive than the far side.
Best that one of the Astronomy or Astrophysics experts elaborate. You can also Google tidal lockage.