As I understand it, the effect of gravity is greatly diminished over long distances. Even so, the mass of the moon is sufficient to exert an influence on earth, for example on tides. My question is, to what extent does the mass of the earth influence gravity on the moon. Gravity on the moon is quoted as being 1.622m/sec squared. But how much is that effected if you're standing on the moon with the earth directly above your head, compared to standing on the opposite side of the moon with the earth directly underfoot?