What practical application, proposed by Galileo in 1616 using the moon eclipses, aimed to solve a major navigational challenge?

Answer

Longitude determination at sea

Beyond purely astronomical implications, Galileo recognized the practical utility of the precise and predictable orbital timing of the Galilean moons. In 1616, he proposed using the regular, precisely timed eclipses of these moons against a universal clock as a method for navigators to accurately determine their longitude while at sea, which was one of the most difficult unsolved problems of the era. While the technique proved too difficult to implement reliably on moving ships at the time, the underlying principle was sound and was later successfully adapted by cartographers like Giovanni Domenico Cassini for land mapping in France, demonstrating the broad impact of the initial discovery.

What practical application, proposed by Galileo in 1616 using the moon eclipses, aimed to solve a major navigational challenge?
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