I mean, the first part of the book is kinda exactly how it works. Well 4 body, anyways.
Tap for spoiler
They're trying to find an equation to know when their planet will pass out of the habitable zone. Every equation fails to describe the orbits. So they try to simulate it, and it seems effective, but eventually the errors accumulate and the simulation fails to describe the orbits.
But yeah, we have been able to tell for a long time the Alpha Centauri isn't like that.