I found this: http://adsabs.harvard.edu/abs/1992A&A...259L..31B document that describes how the X-Ray emissions from galaxy clusters are used to calculate the mass of the cluster. I'm unable to follow the steps to calculating the gas mass.(adsbygoogle = window.adsbygoogle || []).push({});

Specifically, in section (2) there is a formula for the surface brightness profile that appears to be pretty standard:

[itex]S(r) = S_0(1+({\frac{r}{a}})^2)^{(0.5-3\beta)}[/itex]

The authors then go on to calculate the central electron density:

[itex]n_0 = 2.89 \times 10^{-3} h_{50}^{1/2} cm^{-3}[/itex]I can't make the connection from the central electron density to a function that provides the mass at a given radius, r. The authors conclude the hot gas mass is

[itex]5.1 \times 10^{14} h_{50}^{\frac{-5}{2}} MâŠ™[/itex]but I don't see how they get from A to B.

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# Gas Mass Calcuation in Galaxy Cluster

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