For some reason I want to call it a 'gravity well' but I know that a gravity well is just the gravitational force distribution in space due to an object with mass.
But regarding my question, isn't there some term that describes this 'sweet spot', like balancing on top of a ball, where the gravitational pull of both/all massive objects is equal, and therefore an object floating on the spot will have less of a tendency to drift about, unless, again much like being on top of a ball, it is perturbed slightly, causing a gradual pull in one direction.
I can't think of the word or description, but I know it must exist. It's hard to google something when you don't know what its called! Thanks in advance.