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	<title><![CDATA[PublMe - Space: Posted Reaction by PublMe bot in PublMe]]></title>
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	<guid isPermaLink="true">https://publme.space/reactions/v/48514</guid>
	<pubDate>Tue, 17 Dec 2024 20:30:00 +0100</pubDate>
	<link>https://publme.space/reactions/v/48514</link>
	<title><![CDATA[Posted Reaction by PublMe bot in PublMe]]></title>
	<description><![CDATA[
<p>Why NASA Only Needs Pi To So Many Decimal Places</p>
<div><img width="800" height="450" src="https://hackaday.com/wp-content/uploads/2024/12/piday2015_voyager_sCKNg2s.jpg?w=800" alt="" srcset="https://hackaday.com/wp-content/uploads/2024/12/piday2015_voyager_sCKNg2s.jpg 1600w, https://hackaday.com/wp-content/uploads/2024/12/piday2015_voyager_sCKNg2s.jpg?resize=250, 141 250w, https://hackaday.com/wp-content/uploads/2024/12/piday2015_voyager_sCKNg2s.jpg?resize=400, 225 400w, https://hackaday.com/wp-content/uploads/2024/12/piday2015_voyager_sCKNg2s.jpg?resize=800, 450 800w, https://hackaday.com/wp-content/uploads/2024/12/piday2015_voyager_sCKNg2s.jpg?resize=1536, 864 1536w" data-attachment-id="738168" data-permalink="https://hackaday.com/2024/12/17/why-nasa-only-needs-pi-to-so-many-decimal-places/piday2015_voyager_sckng2s/" data-orig-file="https://hackaday.com/wp-content/uploads/2024/12/piday2015_voyager_sCKNg2s.jpg" data-orig-size="1600,900" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="piday2015_voyager_sCKNg2s" data-image-description="" data-image-caption="" data-medium-file="https://hackaday.com/wp-content/uploads/2024/12/piday2015_voyager_sCKNg2s.jpg?w=400" data-large-file="https://hackaday.com/wp-content/uploads/2024/12/piday2015_voyager_sCKNg2s.jpg?w=800"></div><p>If you’re new to the world of circular math, you might be content with referring to pi as 3.14. If you’re getting a little more busy with geometry, science, or engineering, you might have tacked on a few extra decimal places in your usual calculations. But what about the big dogs? How many decimal places do NASA use?</p><figure aria-describedby="caption-attachment-738170"><a rel="nofollow" href="https://hackaday.com/wp-content/uploads/2024/12/pi_graphic.width-1280-1.png"><img data-attachment-id="738170" data-permalink="https://hackaday.com/2024/12/17/why-nasa-only-needs-pi-to-so-many-decimal-places/pi_graphic-width-1280-1/" data-orig-file="https://hackaday.com/wp-content/uploads/2024/12/pi_graphic.width-1280-1.png" data-orig-size="1280,700" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="pi_graphic.width-1280 (1)" data-image-description="" data-image-caption="&lt;p&gt;NASA doesn’t need this many digits. It’s likely you don’t either.&lt;/p&gt;" data-medium-file="https://hackaday.com/wp-content/uploads/2024/12/pi_graphic.width-1280-1.png?w=400" data-large-file="https://hackaday.com/wp-content/uploads/2024/12/pi_graphic.width-1280-1.png?w=800" src="https://hackaday.com/wp-content/uploads/2024/12/pi_graphic.width-1280-1.png?w=400" alt="" width="400" height="219" srcset="https://hackaday.com/wp-content/uploads/2024/12/pi_graphic.width-1280-1.png 1280w, https://hackaday.com/wp-content/uploads/2024/12/pi_graphic.width-1280-1.png?resize=250, 137 250w, https://hackaday.com/wp-content/uploads/2024/12/pi_graphic.width-1280-1.png?resize=400, 219 400w, https://hackaday.com/wp-content/uploads/2024/12/pi_graphic.width-1280-1.png?resize=800, 438 800w"></a><figcaption><em>NASA doesn’t need this many digits. It’s likely you don’t either. Image credits: NASA/JPL-Caltech</em></figcaption></figure><p>Thankfully, the US space agency has been <a rel="nofollow" href="https://www.jpl.nasa.gov/edu/news/how-many-decimals-of-pi-do-we-really-need/" target="_blank">kind enough to answer that question.</a> For the highest precision calculations, which are used for interplanetary navigation, NASA uses 3.141592653589793 — that’s fifteen decimal places.</p><p>The reason why is quite simple, going into any greater precision is unnecessary. The article demonstrates this by calculating the circumference of a circle with a radius equal to the distance between Earth and our most distant spacecraft, Voyager 1. Using the formula C=2<em>pi</em>r with fifteen decimal places of pi, you’d only be off on the true circumference of the circle by a centimeter or so. On solar scales, there’s no need to go further.</p><p>Ultimately, though, you can calculate pi to a much greater precision. We’ve seen it done to <a rel="nofollow" href="https://hackaday.com/2011/11/28/calculating-pi-to-10-trillion-digits-the-last-number-is-5/">10 trillion digits</a>, an effort which flirts with the latest Marvel movies for the title of pure irrelevance. If you’ve done it better or faster, don’t hesitate to <a rel="nofollow" href="http://hackaday.com/submit-a-tip">let us know!</a></p>]]></description>
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