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Alexis Clairaut's accurate prediction of when Halley's Comet would return in 1759 was significant as it demonstrated the power of mathematical calculations and celestial mechanics in predicting astronomical events. His work validated Newtonian physics and enhanced the credibility of scientific methods in understanding the cosmos. This prediction not only solidified Clairaut's reputation as an astronomer but also encouraged further exploration and study of comets and their orbits, influencing the field of astronomy for years to come.

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