Here's why:
* Period-Luminosity Relationship: Cepheid variable stars have a very specific relationship between their pulsation period (how long it takes them to brighten and dim) and their intrinsic luminosity (how bright they truly are).
* Standard Candles: This period-luminosity relationship makes them "standard candles." We can measure the pulsation period of a Cepheid in a distant galaxy, and from that, we can calculate its intrinsic luminosity.
* Distance Calculation: Comparing the Cepheid's apparent brightness (how bright it looks to us) to its intrinsic luminosity allows us to calculate the distance to the galaxy it resides in.
This discovery revolutionized our understanding of the scale of the universe. It allowed astronomers to measure distances far beyond our own galaxy, confirming the existence of other galaxies and helping to establish the vastness of the cosmos.