Terran circumference: Difference between revisions
Nicole Sharp (talk | contribs) (Created page with "Binary fractions of mean Terran <u>circumference</u> (<var style="text-decoration: overline;">C</var><sub>🜨</sub>/2<sup><var>n</var></sup>). <ref><u><code>radii#list</code></u></ref>  Values have a relative uncertainty of ±1.5696102362696618011051437320346 × 10<sup>−8</sup>. {| class="wikitable" ! binary exponent ! decimal fraction ! metric arclength ! mileage |- | <var>C</var>/2<sup>0</sup> | <var>C</var> | 40030.22<u>6</u>37079772575301740816...")  |
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[[image:WGS84 mean Earth radius.svg|thumb|[Image.]  Mean [[wikipedia:circumference|circumference]] (<var style="text-decoration: overline;">C</var>) is equal to twice the mean [[wikipedia:radius|radius]] (2<var style="text-decoration: overline;">r</var>) times the [[wikipedia:Archimedean constant|Archimedean constant]] (<var>Ï€</var>): <var style="text-decoration: overline;">C</var> = 2<var>Ï€</var><var style="text-decoration: overline;">r</var>.  The Terran mean radius (<var style="text-decoration: overline;">r</var><sub>🜨</sub>) is equal to one third of the sum of the equatorial radius (<var>r</var><sub>e</sub>) and twice the polar radius (2<var>r</var><sub>p</sub>): <var style="text-decoration: overline;">r</var><sub>🜨</sub> = (2<var>r</var><sub>p</sub> + <var>r</var><sub>e</sub>)/3. <ref><code>[[wikipedia:Terran radius]]</code></ref>]] | |||
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Binary fractions of the Terran <u>[[mean radii|mean circumference]]</u> (<var style="text-decoration: overline;">C</var><sub>🜨</sub>/2<sup><var>n</var></sup>).  Values have a relative uncertainty of ±1.5696102362696618011051437320346 × 10<sup>−8</sup>. <ref><u><code>[[radii#list]]</code></u></ref> | |||
{| class="wikitable" | {| class="wikitable" | ||
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| 0.6108127<u>8</u>031612740712001660403681 km | | 0.6108127<u>8</u>031612740712001660403681 km | ||
| 0.3795414<u>6</u>553883284563152228736481 mi. | | 0.3795414<u>6</u>553883284563152228736481 mi. | ||
|- | |||
| <var>C</var>/2<sup>17</sup> | |||
| <var>C</var>/131072 | |||
| 0.3054063<u>9</u>015806370356000830201840 km | |||
| 0.1897707<u>3</u>276941642281576114368240 mi. | |||
|- | |||
| <var>C</var>/2<sup>18</sup> | |||
| <var>C</var>/262144 | |||
| 0.1527031<u>9</u>507903185178000415100920 km | |||
| 0.09488536<u>6</u>384708211407880571841197 mi. | |||
|- | |||
| <var>C</var>/2<sup>19</sup> | |||
| <var>C</var>/524288 | |||
| 0.07635159<u>7</u>539515925890002075504601 km | |||
| 0.04744268<u>3</u>192354105703940285920600 mi. | |||
|} | |} | ||
== usage == | == usage == | ||
How far you are willing to travel to witness a <u>[[ | How far you are willing to travel to witness a <u>[[2023-10-14 Solar Eclipse#rarity|rare astronomical event]]</u> should properly be expressed as what fraction of the circumference around the planet you are willing to travel. | ||
== references == | == references == | ||
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== keywords == | == keywords == | ||
<code>circumference, Earth, Terra, Terran</code> | <code>arclength, arclengths, circumference, Earth, Terra, Terran</code> | ||
{{#seo:|keywords=circumference, Earth, Terra, Terran}} | {{#seo:|keywords=arclength, arclengths, circumference, Earth, Terra, Terran}} | ||
[[category:astronomy]] | [[category:astronomy]] | ||
[[category:pages with images]] |
Latest revision as of 2023-09-21T21:37:00
Binary fractions of the Terran mean circumference (C🜨/2n).  Values have a relative uncertainty of ±1.5696102362696618011051437320346 × 10−8. [2]
binary exponent | decimal fraction | metric arclength | mileage |
---|---|---|---|
C/20 | C | 40030.226370797725753017408162156 km | 24873.629485552949371307444624738 mi. |
C/21 | C/2 | 20015.113185398862876508704081078 km | 12436.814742776474685653722312370 mi. |
C/22 | C/4 | 10007.556592699431438254352040539 km | 6218.4073713882373428268611561847 mi. |
C/23 | C/8 | 5003.7782963497157191271760202695 km | 3109.2036856941186714134305780924 mi. |
C/24 | C/16 | 2501.8891481748578595635880101348 km | 1554.6018428470593357067152890462 mi. |
C/25 | C/32 | 1250.9445740874289297817940050674 km | 777.30092142352966785335764452311 mi. |
C/26 | C/64 | 625.47228704371446489089700253369 km | 388.65046071176483392667882226156 mi. |
C/27 | C/128 | 312.73614352185723244544850126685 km | 194.32523035588241696333941113078 mi. |
C/28 | C/256 | 156.36807176092861622272425063342 km | 97.162615177941208481669705565386 mi. |
C/29 | C/512 | 78.184035880464308111362125316711 km | 48.581307588970604240834852782695 mi. |
C/210 | C/1024 | 39.092017940232154055681062658356 km | 24.290653794485302120417426391347 mi. |
C/211 | C/2048 | 19.546008970116077027840531329178 km | 12.145326897242651060208713195673 mi. |
C/212 | C/4096 | 9.7730044850580385139202656645889 km | 6.0726634486213255301043565978367 mi. |
C/213 | C/8192 | 4.8865022425290192569601328322945 km | 3.0363317243106627650521782989184 mi. |
C/214 | C/16384 | 2.4432511212645096284800664161472 km | 1.5181658621553313825260891494592 mi. |
C/215 | C/32768 | 1.2216255606322548142400332080736 km | 0.75908293107766569126304457472958 mi. |
C/216 | C/65536 | 0.61081278031612740712001660403681 km | 0.37954146553883284563152228736481 mi. |
C/217 | C/131072 | 0.30540639015806370356000830201840 km | 0.18977073276941642281576114368240 mi. |
C/218 | C/262144 | 0.15270319507903185178000415100920 km | 0.094885366384708211407880571841197 mi. |
C/219 | C/524288 | 0.076351597539515925890002075504601 km | 0.047442683192354105703940285920600 mi. |
usage
How far you are willing to travel to witness a rare astronomical event should properly be expressed as what fraction of the circumference around the planet you are willing to travel.
references
keywords
arclength, arclengths, circumference, Earth, Terra, Terran