• PM_Your_Nudes_Please@lemmy.world
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        1 year ago

        Because when you’re dealing with measurements that are in the billions or trillions, you start working with orders of magnitude instead of specific numbers. A difference of a million miles is insignificant when the galaxy you’re measuring is 500 trillion miles away.

        • bstix@feddit.dk
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          1 year ago

          I think you’ve heard that trivia wrong. NASA uses 15 decimals of pi. The curiosity is that they don’t need to use more decimals even if many more are known.

          I can’t think of any good reason to use 10 instead. The consequence would be if the galaxy is 157 trillion miles or 500 trillion miles away. That’s alot of space to disregard for no good reason.

          • stebo@lemmy.dbzer0.comOP
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            1 year ago

            Really depends on the situation. If you have to land an aircraft on the moon, you better get the value of π right.

            However when estimating the distance to another galaxy, you’re not gonna fly there so you just want to know the order of magnitude: is it 10^9 or 10^15 miles away?

          • PM_Your_Nudes_Please@lemmy.world
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            1 year ago

            I’m referring to Fermi estimations. Yes, NASA uses 15 decimal points for pi, but astronomers aren’t always making super precise calculations. As I mentioned in my previous comment, it’s used for estimating orders of magnitude. It’s helpful when precise calculations are complex, because any error along the way could be obscured or glossed over. A decent fermi estimation will help you identify when your precise calculation is wrong. This estimation can often be done quickly with very little actual data, because you’re only looking at orders of magnitude and rough numbers.

            Let’s say you’re trying to calculate something complex. Your Fermi estimate takes like two minutes, and says that the answer is probably in the ballpark of ten million. Your precise answer takes an hour, and comes out to be nearly a billion instead. You can look at your fermi estimate for a minute or two to see if you missed a zero or two somewhere. And if you didn’t, then you need to scrutinize your complex calculation because you know you made an error somewhere.

        • al4s@lemmy.world
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          1 year ago

          Then why not use 1? It’s closer to pi than 10 and even easier to calculate with.