Here's why:
* Galaxies are vast: Galaxies are enormous collections of stars, gas, dust, and dark matter. They don't have a single central object like a star that everything orbits around.
* Stars move within galaxies: Stars like Betelgeuse move through the galaxy, influenced by the gravity of other stars and the galaxy's overall structure.
* Orbital periods are vast: The time it takes for a star to complete an orbit around the galactic center is incredibly long, on the order of millions of years.
Therefore, Betelgeuse doesn't have a defined "orbital period" around the Milky Way. It's constantly in motion, moving through the galaxy with other stars.