* 1610: Galileo Galilei was the first to observe four of Jupiter's largest moons, now known as Io, Europa, Ganymede, and Callisto. He made these observations using his newly invented telescope and quickly published his findings.
* 19th and 20th centuries: Over time, more moons were discovered using improved telescopes. These included Amalthea in 1892, Himalia in 1904, and Elara in 1905.
* Space Age: With the advent of space probes, our understanding of Jupiter's moon system exploded. The Voyager probes in the 1970s and 1980s found new moons and revolutionized our knowledge of the system.
* 2000s and Beyond: With the help of powerful ground-based telescopes and the Hubble Space Telescope, astronomers continue to discover more moons of Jupiter even today.
Therefore, there is no single date for the discovery of Jupiter's moons. Instead, it's a long and ongoing process that spans centuries and continues to this day.