who discovered the relationship between the fluctuating period of variable stars and their intrensic brightness

Leavitt

Explanation:

In the course of her work, Leavitt discovered 2,400 new variable stars, half the known ones in her day. A certain group of variable stars, later called Cepheid variables, fluctuate in brightness (luminosity) in a regular pattern called their “period.” This period ranges from about one day to nearly four months.

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