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We describe a one-parameter family of models of stable spherical stellar systems in which the phase-space distribution function depends only on energy. The models have similar density profiles in their outer parts ($\rho\propto r^{-4}$) and…

The dynamical properties of spherically symmetric galaxy models, where a Jaffe (1983) stellar density profile is embedded in a total mass density decreasing as $r^{-3}$ at large radii, are presented. The orbital structure of the stellar…

星系天体物理 · 物理学 2019-10-02 L. Ciotti , A. Mancino , S. Pellegrini

Dynamical properties of spherically symmetric galaxy models where both the stellar and total mass density distributions are described by the Jaffe (1983) profile (with different scale-lenghts and masses), are presented. The orbital…

星系天体物理 · 物理学 2017-12-20 L. Ciotti , A. Ziaee Lorzad

Recently, two-component spherical galaxy models have been presented, where the stellar profile is described by a Jaffe law, and the total density by another Jaffe law, or by an $r^{-3}$ law at large radii. We extend these two families to…

星系天体物理 · 物理学 2020-11-04 L. Ciotti , A. Mancino , S. Pellegrini , A. Ziaee Lorzad

We present density profiles, that are solutions of the spherical Jeans equation, derived under the following two assumptions: (i) the coarse grained phase-density follows a power-law of radius, rho/(sigma^3) proportional to r^{-alpha}, and…

天体物理学 · 物理学 2009-11-07 Nicolaos Hiotelis

A widely employed method for estimating the mass of stellar systems with apparent spherical symmetry is dynamical modelling using the spherically symmetric Jeans equation. Unfortunately this approach suffers from a degeneracy between the…

星系天体物理 · 物理学 2015-06-19 Foivos I. Diakogiannis , Geraint F. Lewis , Rodrigo A. Ibata

Cappellari (2008) presented a flexible and efficient method to model the stellar kinematics of anisotropic axisymmetric and spherical stellar systems. The spherical formalism could be used to model the line-of-sight velocity second moments…

星系天体物理 · 物理学 2015-05-04 Michele Cappellari

General criteria to check the positivity of the distribution function (phase-space consistency) of stellar systems of assigned density and anisotropy profile are useful starting points in Jeans-based modeling. Here we substantially extend…

宇宙学与河外天体物理 · 物理学 2015-05-14 Luca Ciotti , Lucia Morganti

Dynamical properties of two-component galaxy models whose stellar density distribution is described by a gamma-model while the total density distribution has a pure r^(-2) profile, are presented. The orbital structure of the stellar…

天体物理学 · 物理学 2009-11-13 Luca Ciotti , Lucia Morganti , Tim de Zeeuw

We study the dynamical properties of spherical galaxies with surface luminosity profile described by the R^{1/m}-law, in which a variable degree of orbital anisotropy is allowed. The parameter m for the present models covers the range…

天体物理学 · 物理学 2007-05-23 L. Ciotti , B. Lanzoni

We present a simple and efficient anisotropic generalization of the semi-isotropic (two-integral) axisymmetric Jeans formalism which is used to model the stellar kinematics of galaxies. The following is assumed: (i) a constant mass-to-light…

天体物理学 · 物理学 2008-12-06 Michele Cappellari

We study a new class of equilibrium two-parametric distribution functions of spherical stellar systems with radially anisotropic velocity distribution of stars. The models are less singular counterparts of the so called generalized…

星系天体物理 · 物理学 2015-06-16 E. V. Polyachenko , V. L. Polyachenko , I. G. Shukhman

We present an analytic approach to lift the mass-anisotropy degeneracy in clusters of galaxies by utilizing the line-of-sight velocity dispersion of clustered galaxies jointly with weak lensing inferred masses. More specifically, we solve…

宇宙学与河外天体物理 · 物理学 2019-05-28 Alejo Stark , Christopher J. Miller , Vitali Halenka

This paper provides two families of flexible and simple galaxy models. Representatives of many of the families possess the important cosmological cusps, with the density behaving like 1/r or 1/r^1.33 or 1/r^1.5 at small radii. The density…

天体物理学 · 物理学 2007-05-23 J. H. an , N. W. Evans

We present a class of exact solutions of Einstein's gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solutions are obtained by assuming a particular form of the…

广义相对论与量子宇宙学 · 物理学 2017-10-04 T. Harko , M. K. Mak

A method is presented for finding anisotropic distribution functions for stellar systems with known, spherically symmetric, densities, which depends only on the two classical integrals of the energy and the magnitude of the angular…

天体物理学 · 物理学 2008-12-31 Zhenglu Jiang , Leonid Ossipkov

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…

天体物理学 · 物理学 2009-10-31 L. Ciotti

We make a simple analytical study of radial profiles of dark matter structures, with special attention to the question of the central radial density profile. We let our theoretical assumptions be guided by results from numerical…

天体物理学 · 物理学 2009-11-10 Steen H. Hansen

A spherical system with arbitrary mean velocities in the radial and transverse directions, but with zero dispersion of radial velocities, is considered as a model describing the violent relaxation of star clusters and galaxies. The model…

星系天体物理 · 物理学 2025-07-22 V. Yu. Terebizh

We present new analytical distribution functions for anisotropic spherical galaxies. They have the density profiles of the gamma-models, which allow a wide range of central density slopes, and are widely used to fit elliptical galaxies and…

天体物理学 · 物理学 2008-11-26 Pieter Buyle , Chris Hunter , Herwig Dejonghe
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