Today being the 35th anniversary of the landing on the moon, got me thinking about the orbit of the moon. As the moon orbits the earth the same side always faces the earth. My question for you astronomy buffs out there is: if the moon rotated on it's axis say once every 8 hours. Would there be a difference of the gravitational effect of the moon on earth than what it is now. I know that gravity is proportional to the mass and density of an object.