It was vital for navigation that all ships carried a timepiece with exact Greenwich Mean Time, as using a sextant you can work out the exact time from the sun wherever you are, and then compare and this to Greenwich Mean Time to work out how far around the world you are. This was the reason that Greenwich Meantime was so important to navigators, so the ball provided a vital service to nearby ships preparing to embark on a long voyage.
For more information on http://www.nmm.ac.uk/places/royal-observatory/time-ball/
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