Bully Mnemonic Extension

The Bully Mnemonic Extension is a technique for remembering the exact number of meters that light travels in one second, and the approximate range of gravitational accelerations that occur on the surface of the Earth due to Newton's law of universal gravitation. Using the Bully Mnemonic and Bully Mnemonic Extension in conjunction allows one to calculate a significant number of physical quantities, including the exact number of meters in a light year.

The following relationships are encoded in the Bully Mnemonic Extension:

$$Speed\,of\,light\,in\,vacuum={299,792,458\,meters\,per\,second}$$

$${High\,end\,of\,g_{Earth}}={9.8624\,meters\,per\,second^{2}}$$

$${Low\,end\,of\,g_{Earth}}={9.7644\,meters\,per\,second^{2}}$$

The following relationship can be derived using the Bully Mnemonic and Bully Mnemonic Extension in conjunction:

$$1\,light\,year={9,460,528,412,464,108\,meters}$$

Bully Mnemonic Extension Steps

Initial Definitions

Step 1

Complete steps 1 and 2 of the The Bully Mnemonic to form integers a) and b) as shown below:

$${\begin{matrix}{\color {Red}1}&\scriptstyle {\text{2}}&{\color {Red}3}&\scriptstyle {\text{4}}&{\color {Red}5}\end{matrix}}$$

$$a)\,{\color {Red}1}0{\color {Red}33}0$$

$$b)\,{\color {Red}3}0{\color {Red}55}$$

Step 2

The Bully Mnemonic Extension will use two variants of integer a). The first variant will have 33 removed and replaced with 00. The second variant will have 330 removed and replaced with 22:

$$av1)\,{\color {Red}1}0000$$

$$av2)\,{\color {Red}1}0{\color {Red}22}$$

$$b)\,{\color {Red}3}0{\color {Red}55}$$

Speed of Light

Step 3

Multiply integers av2) and b) from Step 2.

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\color{Red} 1} 0 {\color{Red} 22} \times {\color{Red} 3} 0 {\color{Red} 55} = 3122210 Using Long Multiplication: 3055 × 1022 ———————————— 6110 6110 0000 3055 ———————————— 3122210 == Galactic Years == === Step 7 === Multiply integer c) by the square of integer a) to get a rough approximate galactic year (the number of tropical years required for the Solar System to orbit once around the galactic center). <math display="block">{\color{Red} 2} \times {{\color{Red} 1} 0 {\color{Red} 33} 0}^{2} = 213417800 \approx \frac{ 1 \, Galactic \, Year}{ 1 \, Tropical \, Year} }

Using Long Multiplication:

       10330
×      10330
——————————————
       00000
      30990
     30990
    00000
   10330
——————————————
   106708900

And finally:

106708900 × 2 = 213417800