How did ancient Babylonians use numbers to study eclipses and other astronomical events?

Ancient Babylonians utilized a sophisticated sexagesimal (base-60) numeral system to record and predict astronomical phenomena, moving beyond simple observation to complex mathematical forecasting.12

Rather than relying on number symbolism or mysticism, Babylonian astronomers used numbers as a precise tool for data analysis. Temple scribes maintained detailed records of celestial events, such as planetary positions and lunar eclipses, on clay tablets. By identifying repeating patterns in these long-term observations, they developed "goal-year" texts to predict future occurrences.314

By approximately 300 BCE, they employed advanced arithmetical theories to compute the positions of planets and eclipses. They used techniques involving arithmetic progressions to calculate variables like latitude and longitude, effectively creating linear "zigzag" approximations of complex celestial motions. This computational approach allowed them to forecast the dates and positions of astronomical events for decades or even centuries into the future. Their work established a foundation for mathematical astronomy that was later adopted by the Greeks and influenced scientific practices for centuries.14