Bully Metric Length Apan

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File:Observable universe logarithmic illustration.png

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 picoseconds. 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

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

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)

Table 1: The length prefix table

Prefix			Symbols
Name	Symbol	Base 10	Length
Observable Universe Radius			$48\,Qla$
quetta	Q	1030	Qla
ronna	R	1027	Rla
yotta	Y	1024	Yla
zetta	Z	1021	Zla
exa	E	1018	Ela
Earth-Sun Distance			$16.33\,Pla$
peta	P	1015	Pla
tera	T	1012	Tla
giga	G	109	Gla
American Football Field Length			$10\,Mla$
mega	M	106	Mla
kilo	k	103	kla
—	—	100	la
milli	m	10−3	mla
micro	μ	10−6	μla
nano	n	10−9	nla
The Proton Radius			$91.716\,pla$
pico	p	10−12	pla
femto	f	10−15	fla
atto	a	10−18	ala
zepto	z	10−21	zla
yocto	y	10−24	yla
ronto	r	10−27	rla
quecto	q	10−30	qla
Minimum value (Planck Length)			${\frac {qla}{0.566660}}$

The Bully Constants

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

1.033
2
0.00004

One can efficiently approximate the Earth's sidereal year and tropical year to eight digits, and approximate the Earth's radius (r ≈ 6371), Schwarzschild radius (R), standard gravitational parameter (μ = MG ≈ 3.984e14), and a typical gravitational acceleration on earth's surface (g ≈ 9.813 ).

$${1\,Sidereal\,Year}={1.033\,Zta}={31,558,150\,s}$$

$${1\,Tropical\,Year}=(1.033-0.00004)\,Zta-2\,s=31,556,926\,s$$

$$r_{earth}\approx {\frac {1\,Tla}{\sqrt {2\times 1.033}}}=6371\,km$$

$$R_{earth}\approx {\frac {kla}{1.033}}\approx {8.866\,mm}$$

$${\mu }_{earth}\approx {\frac {1}{2\times 1.033}}\,{\frac {kla^{3}}{kta^{2}}}\approx {398,400,000,000,000\,{\frac {m^{3}}{s^{2}}}}$$

$$g_{earth}\approx 1{\frac {Zla}{Zta^{2}}}\approx {9.813\,{\frac {m}{s^{2}}}}$$