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The '''singular isothermal sphere (SIS) profile''' is the simplest [[parameterization]] of the spatial distribution of [[matter]] in an [[Astronomy|astronomical]] system (e.g. [[galaxy|galaxies]], [[Galaxy groups and clusters|clusters of galaxies]], etc.).<ref>{{cite journal| first = C. | last = Keeton | year = 2002 | month = June | title = A Catalog of Mass Models for Gravitational Lensing| journal = eprint arXiv:astro-ph/0102341| bibcode=2001astro.ph..2341K|accessdate = 2008-06-01|arxiv = astro-ph/0102341 }}</ref> | |||
==Density distribution== | |||
<math> | |||
\rho(r) = \frac{\sigma_{V}^{2}}{2\pi G r^{2}} | |||
</math> | |||
where σ<sub>V</sub><sup>2</sup> is the [[velocity dispersion]] and G is the [[gravitational constant]]. The SIS profile is unphysical because of the [[mathematical singularity|singularity]] at zero radius and the fact that the corresponding SIS [[mass]] is [[Infinity|infinite]]. However, it is commonly utilized in the literature due to the simplicity of its form. | |||
==References== | |||
{{reflist}} | |||
==See also== | |||
*[[Navarro-Frenk-White profile]] | |||
[[Category:Large-scale structure of the cosmos]] | |||
Latest revision as of 00:26, 10 September 2013
The singular isothermal sphere (SIS) profile is the simplest parameterization of the spatial distribution of matter in an astronomical system (e.g. galaxies, clusters of galaxies, etc.).[1]
Density distribution
where σV2 is the velocity dispersion and G is the gravitational constant. The SIS profile is unphysical because of the singularity at zero radius and the fact that the corresponding SIS mass is infinite. However, it is commonly utilized in the literature due to the simplicity of its form.
References
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See also
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