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This doesn't apply to stars in the Milky Way. Unlike planets around a star, stars in the Milky Way don't follow Keplerian physics in their orbit around the galactic center.

https://en.wikipedia.org/wiki/Galaxy_rotation_curve

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The rotational/orbital speeds of galaxies/stars do not follow the rules found in other orbital systems such as stars/planets and planets/moons that have most of their mass at the centre. Stars revolve around their galaxy's centre at equal or increasing speed over a large range of distances. In contrast, the orbital velocities of planets in planetary systems and moons orbiting planets decline with distance according to Kepler’s third law.

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