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How did John Harrison's H4 solve the longitude problem?

From the story
John Harrison, the Carpenter Whose Sea Watch Solved Longitude and Who Had to Fight Twenty Years to Be Paid

John Harrison, a self-taught Yorkshire carpenter, spent his life building clocks accurate enough to carry longitude to sea. His 1759 watch H4 lost only seconds on a transatlantic trial — meeting the £20,000 Longitude Prize's terms — but the Board of Longitude paid in grudging halves until King George III himself intervened. A copy of H4 guided Captain Cook.

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