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Actually I saw the explanation you are referring to as the reason for the variance within the shadow of the moon....not on the actual rotation of the face of the moon,
I too will search later if I can find it.. (I need to go to bed!!) ...but I believe your calculations reflect and the previous posts deal with the shadow of the moon occulting , not the actual face rotation as you allude to !
It is important to remember that the moon is stationary..and does not rotate.