u/fellaneedahandpls

So, I understand what Lagrange points are, and how gravitational forces balance to create a “flat” area in space where an object can rest in equilibrium between the gravitational forces of two bodies. But I also know that the point is constantly moving due to the orbit of one object around another.

So my question is this — how do objects stay in a Lagrange point if the point is constantly moving? Do the objects themselves naturally get drawn to the point somehow (in other words, is the movement of the Lagrange point somehow pushing/pulling them along so they stay in the point)? Or are the objects following a path that happens to continue to coincide with the Lagrange point?

Also, what kind of behavior do the objects exhibit while in a Lagrange point? Are they orbiting around another imaginary point, as if there were an invisible planet in the middle of the Lagrange point? Or are they just kind of floating Willy nilly?