I didn't research so I'll take your word for it beso. Probably you're right -- although the point is that gravity is indeed not strong enough to hold on to the Moon indefinitely, and other effects dominate.
divebuddy, the confusion is because all of those objects are very massive, but then you need one heck of a lot of mass for gravity to be particularly strong. If you want to see how weak it actually is, you need to compare it against other forces on the same sort of scale.
Consider, for example, an experiment in which two large iron balls weighing about 15 kilograms are placed a metre apart from each other, and then given a total charge of 15 Coulombs (which is the electricity equivalent of a kilogram, and I've chosen a number that is about the amount of charge in a typical lightning bolt). Plug in the numbers to the respective formulas and you find that the electric force between the two balls is about 100 million million million times stronger.
Gravity is only strong, then, on stupendously large scales. This is partly why it took so long for General Relativity to come around: it took us that long to be able to notice it.