Papyrus 33: Difference between revisions

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The '''Jaffe profile''' (or Jaffe model) is a mathematical function that is used to describe the distribution of mass or light in [[elliptical galaxies]] and the [[bulge (astronomy)|bulges]] of [[spiral galaxies]]. It was proposed by [[Walter Jaffe]] in 1983.<ref name = "JAFFE1983">{{cite journal|author = Jaffe, Walter|title = A simple model for the distribution of light in spherical galaxies|journal = Royal Astronomical Society, Monthly Notices|volume = 202|pages = 995–999|date = March 15, 1983|bibcode = 1983MNRAS.202..995J}}</ref> Its usefulness derives from the fact that it accurately reproduces a [[de Vaucouleurs profile]] when projected onto the sky.
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The density in the Jaffe model is given by
 
<math>
\rho (r) = {\rho_0\over 4\pi}\left({r\over r_0}\right)^{-2} \left(1+{r\over r_0}\right)^{-2}.
</math>
 
In this equation, <math>\rho_0</math> and <math>r_0</math> are parameters that can be varied to fit the observed density.
 
Jaffe described how he arrived at his model: <ref name = "JAFFE1983"/>
 
<blockquote>[The formula] was derived heuristically from the observation that the brightness profiles of spherical galaxies seem to run as <math>r^{-3}</math> and <math>r^{-1}</math> in at least some parts of their envelopes and cores, respectively. This would imply that the spatial density runs as <math>r^{-4}</math> and <math>r^{-2}</math>.
</blockquote>
 
Variations on Jaffe's law include the [[Hernquist profile]], the [[Dehnen profile]] and the [[NFW profile]], which have a similar functional form as Jaffe's law but which use different values for the two exponents.
 
==References==
{{Reflist}}
 
[[Category:Astrophysics]]
{{Astronomy-stub}}

Latest revision as of 19:40, 18 August 2014



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Total, reading inspirational quotes on an everyday basis can help a person are more successful, and lead a happier, more fulfilling life. There are literally thousands of great quotes available, providing people with a never-ending availability of free motivation.

Read ahead to learn the four main methods reading inspirational quotes on a regular basis can help to improve your health, and bring you more achievements. Read them all, there are some terrific points here!

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