NASA 的 JPL 回答「你們用的圓周率是 3.14 嗎?」的問題

NASAJPL 回答了他們所使用的圓周率:「How Many Decimals of Pi Do We Really Need?」。


For JPL's highest accuracy calculations, which are for interplanetary navigation, we use 3.141592653589793.

先拿目前離地球最遠的人造物 Voyager 1 來舉例,約 201 億公里 (125 億英里) 的距離,使用這個小數下 15 位的圓周率,與實際的圓周率算出來的誤差只有 3.81 公分 (1.5 英寸):

The most distant spacecraft from Earth is Voyager 1. It is about 12.5 billion miles away.

It turns out that our calculated circumference of the 25 billion mile diameter circle would be wrong by 1.5 inches. Think about that. We have a circle more than 78 billion miles around, and our calculation of that distance would be off by perhaps less than the length of your little finger.

另外還舉了地球與整個宇宙的數字來計算,需要的精確度沒有想像中那麼大 XD

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