Difference between revisions of "Template:VT"
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(!didn't respect thinner atmosphere at higher altitudes;) |
(*mass, radius, pressure and scale height from subtemplates to parameters; *rewritten documentation according to the newest findings on the atmosphere article;) |
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<includeonly>{{#expr: <!-- | <includeonly>{{#expr: <!-- | ||
--> ( <!-- | --> ( <!-- | ||
− | --> 2 * {{G}} * {{BodyData | + | --> 2 * {{G}} * {{BodyData|{{{planet}}}|mass}} <!-- |
--> / ( <!-- | --> / ( <!-- | ||
− | --> ({{{alt}}} + {{BodyData | + | --> ({{{alt}}} + {{BodyData|{{{planet}}}|radius}} <!-- |
--> )^2 * <!-- | --> )^2 * <!-- | ||
− | --> ( {{BodyData | + | --> ( {{BodyData|{{{planet}}}|pressure}} * e^(-{{{alt}}}/{{BodyData|{{{planet}}}|scale height}}) <!-- |
--> ) * (1.2230948554874 * 0.008) * 0.2 * 1 <!-- | --> ) * (1.2230948554874 * 0.008) * 0.2 * 1 <!-- | ||
--> ) <!-- | --> ) <!-- | ||
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|} | |} | ||
− | This template calculates terminal velocity of an object given the planet and the altitude from the planet's surface. It | + | This template calculates terminal velocity of an object given the planet and the altitude from the planet's surface. It uses {{Tl|BodyData}} with the properties <tt>mass</tt>, <tt>radius</tt>, <tt>pressure</tt> and <tt>scale height</tt>. |
− | + | : <math>v_T = \sqrt{\frac{250 \frac{\text{kg}}{\text{m}^2} \cdot GM}{(a+r)^2 \cdot \rho \cdot d}}</math> | |
+ | : <math>\rho = 1.2230948554874 \frac{\text{kg}}{\text{m}^3 \cdot \text{atm}} \cdot p_0 \cdot e^\frac{-a}{H}</math> | ||
+ | <small>(<tt>M</tt> is the mass of the body, <tt>r</tt> is the body's radius, <tt>p<sub>0</sub></tt> is pressure at 0 m altitude (“sea level”), <tt>a</tt> is the altitude above sea level and <tt>H</tt> is the scale height)</small> | ||
− | + | The formula assumes that the coefficient of drag (d) is 0.2 and is used from the [[atmosphere]] article. | |
− | + | [[Category:Templates]] | |
− | |||
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− | [[Category:Templates | ||
</noinclude> | </noinclude> |
Revision as of 15:22, 14 September 2013
Usage | Produces |
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{{VT | planet = Kerbin | alt = 0}} |
100.1288989294 |
This template calculates terminal velocity of an object given the planet and the altitude from the planet's surface. It uses {{BodyData}} with the properties mass, radius, pressure and scale height.
(M is the mass of the body, r is the body's radius, p0 is pressure at 0 m altitude (“sea level”), a is the altitude above sea level and H is the scale height)
The formula assumes that the coefficient of drag (d) is 0.2 and is used from the atmosphere article.