View source for Bully Metric Length Apan

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[[Bully_Metric|Bully Metric Main Page]]

[[File:Observable_universe_logarithmic_illustration.png|thumb|300px|Artist's logarithmic scale conception of the observable universe. The radius of the observable universe is estimated to be 48 quettapan (Qla)]]

The '''length apan''' is by definition the distance light travels in vacuum in 30.55 femtoseconds.  SI prefixes have the same meaning and conventions when used with Bully lengths as they have when used with standard SI units. However, the word "length" may be dropped when the context is clear.  For example, the statement: "An American football field has ten mega-length-apan (10 Mla) between the goal lines", should be shortened to "An American football field has ten megapan (10 Mla) between the goal lines".  See Table 1 below for the list of SI prefixes used with Bully lengths.  In addition to SI prefixes, the table also identifies the smallest meaningful length (Planck length), largest meaningful length (Observable Universe radius), and a few other lengths for comparison.

[[File:Football field diagram.webp|thumb|350px|Diagram of a modern American football field.  The megapan (mega-length-apan) is approximately 10 yards.  An American football field is 100 yards, or 10 megapan, between the goal lines.  There are end zones extending beyond the goal lines another 10 yards, or 1 megapan.]]

[[File:Quark_structure_proton.svg|thumb|250px|Colored graphic of a proton. Three quarks are bound by the strong force, mediated by gluons. The radius of the proton is estimated to be 91.716 picopan (pla)]]

{| class="wikitable" style="padding: 0; text-align: center; width: 0; white-space: nowrap;"
|+Table 1: The length prefix table
|-
! colspan=3| Prefix
! colspan=3| Symbols
|-
! Name !! Symbol !!  Base 10 !! Length
|-
! colspan=3| Observable Universe Radius || <math> 48 \, Qla</math>
|-
| quetta || Q || 10<sup>30</sup> || Qla 
|-
| ronna || R || 10<sup>27</sup> || Rla 
|-
| yotta || Y || 10<sup>24</sup> || Yla 
|-
| zetta || Z || 10<sup>21</sup> || Zla 
|-
| exa || E || 10<sup>18</sup> || Ela 
|-
! colspan=3| Earth-Sun Distance || <math>16.33 \, Pla</math>
|-
| peta || P || 10<sup>15</sup> || Pla 
|-
| tera || T || 10<sup>12</sup> || Tla 
|-
| giga || G || 10<sup>9</sup> || Gla 
|-
! colspan=3| American Football Field Length || <math>10 \, Mla</math>
|-
| mega || M || 10<sup>6</sup> || Mla 
|-
| kilo || k || 10<sup>3</sup> || kla 
|-
| — || — || 10<sup>0</sup> || la 
|-
| milli || m || 10<sup>−3</sup> || mla 
|-
| micro || μ || 10<sup>−6</sup> || μla 
|-
| nano || n || 10<sup>−9</sup> || nla 
|-
! colspan=3| The Proton Radius || <math>91.716 \, pla</math>
|-
| pico || p || 10<sup>−12</sup> || pla 
|-
| femto || f || 10<sup>−15</sup> || fla 
|-
| atto || a || 10<sup>−18</sup> || ala 
|-
| zepto || z || 10<sup>−21</sup> || zla 
|-
| yocto || y || 10<sup>−24</sup> || yla 
|-
| ronto || r || 10<sup>−27</sup> || rla 
|-
| quecto || q || 10<sup>−30</sup> || qla 
|-
! colspan=3| Minimum value <br />(Planck Length) || <math>\frac{qla}{0.566660}</math> 
|}

= The Bully Constants =
A surprising number of earth's physical constants can be approximated using various algebraic combinations of the following three numbers [[Bully Mnemonic|(click here to learn more)]] with Bully Metric units.

 1.033
 2
 0.00004

One can efficiently approximate the Earth's [https://en.wikipedia.org/wiki/Sidereal_year sidereal year] and [https://en.wikipedia.org/wiki/Tropical_year tropical year] to eight digits, and approximate the [https://en.wikipedia.org/wiki/Earth_radius Earth's radius] (r ≈ [https://www.google.com/search?q=c+*+3.055+s+%2F+sqrt%282*10330%29 6371]), Schwarzschild radius (R), [https://en.wikipedia.org/wiki/Standard_gravitational_parameter standard gravitational parameter] (μ = MG ≈ [https://www.google.com/search?q=c%5E3+*+0.03055+s+%2F%282+*+1033000000%29 3.984e14]), and a typical [https://en.wikipedia.org/wiki/Gravity_of_Earth gravitational acceleration] on earth's surface (g ≈ [https://www.google.com/search?q=c+%2F+%2830550000+s%29 9.813] ).


<math display="block">{1 \, Sidereal \, Year} = {1.033 \, Zta} = {31,558,150 \, s} </math>

<math display="block"> {1 \, Tropical \, Year} = (1.033 - 0.00004) \, Zta - 2 \,s = 31,556,926 \, s </math>

<math display="block"> r_{earth} \approx \frac{ 1 \, Tla}{\sqrt{2 \times 1.033}} = 6371 \, km </math>

<math display="block"> R_{earth} \approx \frac{kla}{1.033} \approx {8.866 \, mm} </math>

<math display="block"> {\mu}_{earth} \approx \frac{ 1 }{2 \times 1.033} \, \frac{kla^{3}}{kta^{2}} \approx {398,400,000,000,000\, \frac{m^{3}}{s^2}} </math>

<math display="block">g_{earth} \approx 1 \frac{Zla}{Zta^{2}} \approx {9.813 \, \frac{m}{s^{2}}} </math>