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Despite consistent progress in numerical simulations, the observable properties of galaxy clusters are difficult to predict ab initio. It is therefore important to compare both theoretical and observational results to a direct measure of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Henk Hoekstra , Matthias Bartelmann , Haakon Dahle , Holger Israel , Marceau Limousin , Massimo Meneghetti

In the solution of the Jeans equations for axisymmetric galaxy models the ``$b$-ansatz" is often adopted to prescribe the relation between the vertical and radial components of the velocity dispersion tensor, and close the equations.…

Astrophysics of Galaxies · Physics 2025-11-05 Leonardo De Deo , Luca Ciotti , Silvia Pellegrini

The measured rotation velocity profiles of mature spiral galaxies are successfully described with a gravitational model consisting of a thin axisymmetric disk of finte radius. The disk is assumed uniformly thin but with variable radial mass…

Astrophysics · Physics 2008-03-06 James Q. Feng , C. F. Gallo

There are many fundamental aspects of Galactic structure and evolution which can be studied best or exclusively with high quality three dimensional kinematics. Amongst these we note as examples determination of the orientation of the…

Astrophysics · Physics 2007-05-23 Gerard Gilmore

Rotation curves are often used to estimate the mass distribution of spiral galaxies, assuming circular rotation of disks. However, non-circular motions caused by a non-axisymmetric gravitational potential, such as a stellar bar, may disturb…

Astrophysics · Physics 2009-11-07 Jin Koda , Keiichi Wada

The observed stellar kinematics of dispersion-supported galaxies are often used to measure dynamical masses. Recently, several analytical relationships between the stellar line-of-sight velocity dispersion, the projected (2D) or deprojected…

In the present work we derive an analytical expression for the mass density of an object with spherical symmetry, whose corresponding potential allows obtaining a circular velocity around it that is in agreement with the observed rotation…

Astrophysics of Galaxies · Physics 2023-02-09 José Enrique Hernández Ramírez

We explore the mass distribution of material associated with galaxies from the observation of gravitational weak lensing for the galaxy mass correlation function with the aid of $N$-body simulations of dark matter. The latter is employed to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Shogo Masaki , Masataka Fukugita , Naoki Yoshida

In this short report, I briefly review, illustrate and discuss various techniques (e.g., X ray halos, lensing, kinematics) used to derive mass (hence M/L) profiles of individual galaxies.

Astrophysics · Physics 2007-05-23 Eric Emsellem

The virial, projected and spherical Jeans equation galaxy mass estimators are compared. High-resolution models of elliptical galaxies from N-body simulations are used to compare predicted mass profiles. Averages over eight models and…

Astrophysics · Physics 2007-05-23 Melinda L. Weil

In the context of the study of the properties of the mutual mass distribution of the bright and dark matter in elliptical galaxies, present a family of two-component, spherical, self-consistent galaxy models, where one density distribution…

Astrophysics · Physics 2009-10-31 L. Ciotti

A brief narrative on how the effective radius and isophotal diameters were accepted as galaxy size measures is presented. Evidence suggests that these parameters were defined only based on observational premises, independent of any…

Astrophysics of Galaxies · Physics 2020-10-19 Nushkia Chamba

The standard method of modelling axisymmetric stellar systems begins from the assumption that mass follows light. The gravitational potential is then derived from the luminosity distribution, and a unique two-integral distribution function…

Astrophysics · Physics 2009-10-28 David Merritt

We analyse the structural and dynamical properties of a sample of 324 nearby elliptical and dwarf elliptical galaxies observed during an extensive NIR survey in H-band (1.65 micron). The Fundamental Plane (FP) is determined and a…

Astrophysics · Physics 2009-11-07 S. Zibetti , G. Gavazzi , M. Scodeggio , P. Franzetti , A. Boselli

We analyze six X-ray bright elliptical galaxies, observed with Chandra and XMM-Newton, and approximate their gravitational potentials by isothermal spheres phi(r)=v_c^2 ln(r) over a range of radii from ~0.5 to ~25 kpc. We then compare the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 E. Churazov , S. Tremaine , W. Forman , O. Gerhard , P. Das , A. Vikhlinin , C. Jones , H. Boehringer , K. Gebhardt

We present a physically motivated extension of the FP for elliptical galaxies, derived from the scalar virial theorem and calibrated using observational data. Starting from the basic equilibrium condition, we incorporate key physical…

Astrophysics of Galaxies · Physics 2025-11-05 Tarek Yehia

Because of their simplicity, axisymmetric mass distributions are often used to model gravitational lenses. Since galaxies are usually observed to have elliptical light distributions, mass distributions with elliptical density contours offer…

Astrophysics · Physics 2009-10-30 Rennan Barkana

We analyze the mass distribution of stellar black holes derived from the light and radial velocity curves of optical stars in close binary systems using dynamical methods. The systematic errors inherent in this approach are discussed. These…

Astrophysics · Physics 2023-03-22 K. A. Postnov , A. M. Cherepashchuk

The scaling relation for early type galaxies in the 6dF galaxy survey does not have the velocity dispersion dependence expected from standard stellar population models. As noted in recent work with SDSS, there seems to be an additional…

Astrophysics of Galaxies · Physics 2014-06-19 Jeremy Mould

Recent hydrostatic X-ray studies of the hot interstellar medium (ISM) in early-type galaxies underestimate the gravitating mass as compared to stellar dynamics, implying modest, but significant deviations from exact hydrostatic equilibrium.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Philip J. Humphrey , David A. Buote , Fabrizio Brighenti , Karl Gebhardt , William G. Mathews