Gravity affects all objects, very large and very small over vast distances. The Voyager 1 craft that has been travelling away from us for 36 years at about 60,000 kilometres per hour, still tugs on Earth as Earth tugs on it.
RE: So from where does the precision come? By this you will mean the six fundamental constants (Martin Rees - Just Six Numbers) Some will say God was the tuner, but then the question arises as to who tuned God i.e. there is no free lunch in this universe.