Le Verrier — Neptune Found by Mathematics

In 1846, Urbain Le Verrier calculated the position of an undiscovered planet using only mathematics — perturbations in Uranus's orbit that could not be explained by known gravitational sources. He sent the predicted coordinates to the Berlin Observatory. On the night of September 23, 1846, Johann Galle pointed his telescope to Le Verrier's coordinates and found Neptune within one degree. No observation was needed to guide the search — pure Newtonian mathematics had located a world. It stands as one of the greatest triumphs of mathematical prediction.