Analytical expressions for the deprojected Sersic model

Details Analytical expressions for the deprojected Sersic model Analytical expressions for the deprojected Sersic model

2010-09-23

arxiv.org/abs/1009.4713v1

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

9 pages, accepted for publication in Astronomy and Astrophysics

Scientific paper

The Sersic model has become the standard to parametrize the surface brightness distribution of early-type galaxies and bulges of spiral galaxies. A major problem is that the deprojection of the Sersic surface brightness profile to a luminosity density cannot be executed analytically for general values of the Sersic index. Mazure & Capelato (2002) used the Mathematica computer package to derive an expression of the Sersic luminosity density in terms of the Meijer G function for integer values of the Sersic index. We generalize this work using analytical means and use Mellin integral transforms to derive an exact, analytical expression for the luminosity density in terms of the Fox H function for all values of the Sersic index. We derive simplified expressions for the luminosity density, cumulative luminosity and gravitational potential in terms of the Meijer G function for all rational values of the Sersic index and we investigate their asymptotic behaviour at small and large radii. As implementations of the Meijer G function are nowadays available both in symbolic computer algebra packages and as high-performance computing code, our results open up the possibility to calculate the density of the Sersic models to arbitrary precision.

Affiliated with

Also associated with

No associations

Rating

Analytical expressions for the deprojected Sersic model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analytical expressions for the deprojected Sersic model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical expressions for the deprojected Sersic model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-273480