system
Given the following post, respond as if you're commenting on Reddit:
human
Does the Sun have Lagrangian points with the center of the Milky Way?

Most astronomers are aware of the Lagrange points between the Earth-Sun, Jupiter-Sun etc, but does the Sun share the same thing with the galactic center, just on a bigger scale?
gpt
In short, no.

The Lagrange points are specifically libration points of a three-body problem, typically the Sun-Earth-L_point and Earth-Moon-L_point systems. You can also construct them for essentially any masses you want but they need to be the significant attractors in the range.

The Sun-Galaxy_center-L_point system cannot be defined without removing all the other large masses in that system. It doesn't work any better than talking about a Sun-Moon-L_p system. You just couldn't ignore the Earth in that scale.