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The S\'ersic model is the de facto standard to describe the surface brightness distribution of hot stellar systems. An important inconvenience of this analytical model is that the corresponding luminosity density and associated properties…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 M. Baes , E. Van Hese

The S\'ersic model is known to fit well the surface brightness (or surface density) profiles of elliptical galaxies and galaxy bulges, and possibly for dwarf spheroidal galaxies and globular clusters. The deprojected density and mass…

Astrophysics of Galaxies · Physics 2020-03-03 Eduardo Vitral , Gary A. Mamon

It is well known that the surface brightness of elliptical galaxies and of bulges of spiral galaxies is best fitted by the Sersic r^{1/n} profile. It is thus interesting to explore the lensing properties of the Sersic model because of its…

Astrophysics · Physics 2009-11-10 Vincenzo F. Cardone

Given the growing use of Sersic's (1963, 1968) R^{1/n} model for describing the stellar distributions in galaxies, and the lack of any single reference that provides the various associated mathematical expressions, we have endeavoured to…

Astrophysics · Physics 2012-04-26 Alister W. Graham , Simon P. Driver

The Sersic law reproduces very well the surface brightness profile of early-type galaxies, and therefore is routinely used in observational and theoretical works. Unfortunately, its deprojection can not be expressed in terms of elementary…

Astrophysics of Galaxies · Physics 2025-02-12 L. Ciotti , L. De Deo , S. Pellegrini

Popular models for describing the luminosity-density profiles of dynamically hot stellar systems (e.g., Jaffe, Hernquist, Dehnen) were constructed with the desire to match the deprojected form of an R^{1/4} light-profile. Real galaxies,…

Astrophysics · Physics 2012-04-26 Balsa Terzic , Alister W. Graham

In recent high resolution N-body CDM simulations, it has been had found that nonsingular three-parameter models, e.g. the Einasto profile has a better performance better than the singular two-parameter models, e.g. the Navarro, Frenk and…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-25 E. Retana-Montenegro , F. Frutos-Alfaro

We present spherical, non-rotating, isotropic models of early-type galaxies with stellar and dark-matter components both described by deprojected Sersic density profiles, and prove that they represent physically admissible stable systems.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 G. Coppola , F. La Barbera , M. Capaccioli

In 2010 Spergel introduced an alternative to the traditional Sersic form for galactic luminosity profiles based on modified Bessel functions of the second kind. His motivation was the desire for an accurate one-parameter profile form with a…

Astrophysics of Galaxies · Physics 2014-09-30 Daniel Katz , Donghyun Kim , Matthew Lenthall , Alex Merousis , Navin Sundaramurthy , Jeongki Kim

Recent high-resolution N-body CDM simulations indicate that nonsingular three-parameter models such as the Einasto profile perform better than the singular two-parameter models, e.g. the Navarro, Frenk and White, in fitting a wide range of…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-24 E. Retana-Montenegro , E. Van Hese , G. Gentile , M. Baes , F. Frutos-Alfaro

The S\'ersic or $R^{1/m}$ model has become the de facto standard model to describe the surface brightness profiles of early-type galaxies and the bulges of spiral galaxies. The photometric, intrinsic, and dynamical properties of this model…

Astrophysics of Galaxies · Physics 2019-06-26 Maarten Baes , Luca Ciotti

We analyse HST surface brightness profiles for 143 early-type galaxies in the Virgo and Fornax Clusters. Sersic models provide accurate descriptions of the global profiles with a notable exception: the observed profiles deviate…

This article introduces a family of analytical functions of the form x^{\nu} K_{\nu}(x), where K_{\nu} is the incomplete Bessel function of the third kind. This family of functions can describe the density profile, projected and integrated…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 David N Spergel

By considering that the distribution of measured light along any galactocentric radius of an elliptical galaxy can be well represented by a R^{1/n} Sersic law, we propose in this paper a ``discrete ordenate'' method, which, for any value of…

Astrophysics · Physics 2007-05-23 E. Simonneau , F. Prada

A Voigt profile function emerges in several physical investigations (e.g. atmospheric radiative transfer, astrophysical spectroscopy, plasma waves and acoustics) and it turns out to be the convolution of the Gaussian and the Lorentzian…

Mathematical Physics · Physics 2008-05-16 G. Pagnini , R. K. Saxena

Gravitational lenses on galaxy scales are plausibly modelled as having ellipsoidal symmetry and a universal dark matter density profile, with a Sersic profile to describe the distribution of baryonic matter. Predicting all lensing effects…

Astrophysics · Physics 2009-11-13 Edward A. Baltz , Phil Marshall , Masamune Oguri

We develop a novel way of finding total mass density profiles in Sersic ellipticals, to about 3 times the major axis effective radius, using no other information other than what is typically available for distant galaxies, namely the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 Dalia Chakrabarty , Brendan Jackson

Quantitative dynamical models of galaxies require deprojecting the observed surface brightness to determine the luminosity density of the galaxy. Existing deprojection methods for axisymmetric galaxies assume that a unique deprojection…

Astrophysics · Physics 2015-06-24 Aaron J. Romanowsky , Christopher S. Kochanek

It remains challenging to detect the low surface brightness structures of faint high-z galaxies, which is key to understanding the structural evolution of galaxies. The technique of image stacking allows us to measure the averaged light…

Astrophysics of Galaxies · Physics 2016-12-14 Yubin Li , XianZhong Zheng , Qiu-Sheng Gu , Yi-Peng Wang , ZhangZheng Wen , Kexin Guo , FangXia An

The local space density of galaxies as a function of their basic structural parameters --like luminosity, surface brightness and scalesize-- is still poorly known. Our poor knowledge is mainly the result of strong selection biases against…

Astrophysics · Physics 2007-05-23 Roelof S. de Jong , Cedric Lacey
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