It's impossible to say for certain which star will be the closest to Earth in 10,000 years. Aqui está o porquê:

* Movimento estelar: Stars are constantly moving. Their trajectories are influenced by gravity from other stars and the Milky Way galaxy itself. Over 10,000 years, even small changes in a star's motion can significantly alter its distance from Earth.
* Our Own Motion: Our solar system is also in motion, orbiting the galactic center. This movement will also affect the relative positions of stars in the future.
* Limited Knowledge: Embora possamos rastrear os movimentos das estrelas em nosso bairro imediato, nosso conhecimento sobre as posições e velocidades exatas das estrelas muito além do nosso sistema solar é limitado.

What we can say:

* proxima centauri: Currently, Proxima Centauri, a red dwarf star in the Alpha Centauri system, is the closest star to our Sun. However, its position and velocity are not well enough known to predict its exact distance in 10,000 years.
* Outros candidatos: There are other stars within a few light-years of our Sun that could potentially become the closest in the future. These include Alpha Centauri A and B, Barnard's Star, and Wolf 359.

In conclusion, predicting the closest star in 10,000 years is a complex task with a lot of uncertainty. We would need a much more complete understanding of stellar motions and our solar system's trajectory to provide a definitive answer.