So i understand (roughly) the n-body problem regarding laws of gravitation and the concept of stable orbit. I also understand that the aforementioned "problem" can refer to the impossibility (unlikeliness?) to properly calculate a stable orbit for system with more than 2 bodies.

So, just want to make sure why its a "problem". Like.. is it that we have seen stable orbits in n-body systems and have been incapable of explaining them? Is it simply about the base impossibility of forecasting the movement of celestial bodies when the system gets too complicated?

I just want to understand if this "problem" is a hurdle to science at the moment that prevent us from properly understanding more things, or its simply a matter of being unable to model stable complex systems.