Singular isothermal sphere profile

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 total mass calculated by integrating the function out to infinite radius does not converge (i.e., is infinite). However, it is commonly utilized in the literature due to the simplicity of its form.

gollark: It's terminated by a combination of a NUL and length thing.
gollark: I was lying to you. Muahahahahaha.
gollark: It's not exactly null terminated, you just have a NUL which may not be at the end but represents a position.
gollark: It has a NUL and a length prefix thing, but you have to read both of them to know how long it actually is.
gollark: Ah, but you can put the NUL anywhere!

See also
  • Navarro-Frenk-White profile

References
  1. Keeton, C. (June 2002). "A Catalog of Mass Models for Gravitational Lensing". arXiv:astro-ph/0102341v2.
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