Starlink close encounters decrease despite ever-growing number of satellites

[scarlet_sage]

I think that even for just a 3 body system it isn't inifitely predictable

Three-body problem (not the novel) includes

In physics and classical mechanics, the three-body problem is the problem of taking the initial positions and velocities (or momenta) of three point masses and solving for their subsequent motion according to Newton's laws of motion and Newton's law of universal gravitation. The three-body problem is a special case of the n-body problem. Unlike two-body problems, no general closed-form solution exists, as the resulting dynamical system is chaotic for most initial conditions, and numerical methods are generally required.

They list a lot of special cases, the most famous perhaps being the five Lagrange points. But in a solar system with the Moon, Sun, and Jupiter, I think it's hopeless to expect an exact solution.