Difference between revisions of "Help:Math"
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The acceleration of a solar sail due to solar pressure <math>\vec a_s</math> given the position vector from the sun to the sail <math>\vec r_s</math> is: | The acceleration of a solar sail due to solar pressure <math>\vec a_s</math> given the position vector from the sun to the sail <math>\vec r_s</math> is: | ||
| − | <math>\vec a_s = a_c | + | <math>\vec a_s = a_c {AU^2 \over r_s^2} \(\vec r_s \cdot \vec n\)^2 \vec n</math> |
where <math>a_c</math> is max sail acceleration at Earth's distance from the sun (1 AU), <math>AU</math> is the length of an astronomical unit, <math>r_s</math> is the magnitude of <math>\vec r_s</math>, and <math>\vec n</math> is the unit vector normal to the sail surface. | where <math>a_c</math> is max sail acceleration at Earth's distance from the sun (1 AU), <math>AU</math> is the length of an astronomical unit, <math>r_s</math> is the magnitude of <math>\vec r_s</math>, and <math>\vec n</math> is the unit vector normal to the sail surface. | ||
Revision as of 10:12, 11 June 2012
LaTeX
You can enter LaTeX equations by enclosing them in <math>...</math> tags. This uses the Math extension. For LaTeX math help, see:
- LaTeX documentation
- The Not so Short Introduction to LaTex - with a very complete chapter on typesetting mathematical formulas
Examples
<math>\sqrt[3]{a x + x^2}</math> produces ![\sqrt[3]{a x + x^2}](/images/math/a/4/8/a480ac1350e2a7645375ceef69ddc69c.png)
The acceleration of a solar sail due to solar pressure 
given the position vector from the sun to the sail 
is:
Failed to parse (lexing error): \vec a_s = a_c {AU^2 \over r_s^2} \(\vec r_s \cdot \vec n\)^2 \vec n
where 
is max sail acceleration at Earth's distance from the sun (1 AU), 
is the length of an astronomical unit, 
is the magnitude of , and 
is the unit vector normal to the sail surface.
Mimetex
Deprecated. Please follow LaTeX instructions from now on.
Mathematics can be displayed on SolarSailWiki using the Mimetex program, which uses a subset of the LaTeX math formulas. All you need to do is enclose a valid TeX/LaTeX formula inside <tex>...</tex> tags. Formulas will be rendered as GIF images.
- Mimetex documentation
- LaTeX documentation
- The Not so Short Introduction to LaTex - with a very complete chapter on typesetting mathematical formulas
Some examples:
<tex>\sqrt[3]{a x + x^2}</tex> produces
The acceleration of a solar sail due to solar pressure given the position vector from the sun to the sail
is:
where is max sail acceleration at Earth's distance from the sun (1 AU),
is the length of an astronomical unit,
is the magnitude of
, and
is the unit vector normal to the sail surface.
