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The redshift-space correlation function $\xi_s$ for projected galaxy separations $\simless 1h^{-1}$ Mpc can be expressed as the convolution of the real-space correlation function with the galaxy pairwise velocity distribution function…

Astrophysics · Physics 2009-10-28 Antonaldo Diaferio , Margaret J. Geller

In the present work, we adopt a nonlinear scalar field theory coupled to the gravity sector to model galactic dark matter. We found analytical solutions for the scalar field coupled to gravity in the Newtonian limit, assuming an isotropic…

General Relativity and Quantum Cosmology · Physics 2021-05-19 R. A. C. Correa , P. H. R. S. Moraes , A. de Souza Dutra , O. L. Dors , W. de Paula , T. Frederico

We present the results of an attempt to adapt the distribution function formalism to characterize large-scale structures like clusters of galaxies that form in a cosmological N-body simulation. While galaxy clusters are systems that are not…

Astrophysics · Physics 2015-06-24 Priyamvada Natarajan , Jens Hjorth , Eelco van Kampen

We derive the distribution of the phantom dark matter in the eight classical dwarf galaxies surrounding the Milky Way, under the assumption that modified Newtonian dynamics (MOND) is the correct theory of gravity. According to their…

Astrophysics of Galaxies · Physics 2020-10-02 Alistair O. Hodson , Antonaldo Diaferio , Luisa Ostorero

We test the ability of Schwarzschild's orbit superposition method in measuring the mass content, scale radius and shape of a flattened dwarf spheroidal galaxy. Until now, most dynamical model efforts have assumed that dwarf spheroidal…

Astrophysics of Galaxies · Physics 2019-12-11 Jorrit H. J. Hagen , Amina Helmi , Maarten A. Breddels

It is generally agreed that the rotational velocities of spiral galaxies indicate that a lot of matter is unseen. Hitherto, the majority of these mass models are all based on spherical symmetry, although this assumption is obviously not the…

Astrophysics · Physics 2007-05-23 Pieter Buyle , Herwig Dejonghe , Gianfranco Gentile

Dwarf spheroidal (dSph) galaxies are believed to be strongly dark matter dominated and thus are considered perfect objects to study dark matter distribution and test theories of structure formation. They possess resolved, multiple stellar…

Astrophysics of Galaxies · Physics 2022-03-16 Klaudia Kowalczyk , Ewa L. Lokas

Many classical variables (statistics) are selfdecomposable. They admit the random integral representations via L\'evy processes. In this note are given formulas for their background driving distribution functions (BDDF). This may be used…

Probability · Mathematics 2022-05-23 Zbigniew J. Jurek

Dwarf spheroidal (dSph) galaxies are considered the basic building blocks of the galaxy formation process in the LCDM (Lambda Cold Dark Matter) hierarchical cosmological model. These galaxies are believed to be the most dark matter (DM)…

Astrophysics of Galaxies · Physics 2015-06-16 P. Assmann , M. Fellhauer , M. I. Wilkinson , R. Smith , M. Blaña

We generate stellar distribution functions (DFs) in triaxial haloes in order to examine the reliability of slopes $\Gamma\equiv \Delta {\rm log} M / \Delta {\rm log} r$ inferred by applying mass estimators of the form $M\propto R_e\sigma^2$…

Astrophysics of Galaxies · Physics 2015-06-15 Chervin F. P. Laporte , Matthew G. Walker , Jorge Peñarrubia

Current theory of disk galaxy formation is used to study fundamental-plane (FP) type of relations for disk galaxies. We examine how the changes in model parameters affect these relations and explore the possibility of using such relations…

Astrophysics · Physics 2009-11-06 Shiyin Shen , H. J. Mo , Chenggang Shu

I review observational data on the kinematic properties of dwarf spheroidal galaxies in the halo of the Milky Way and beyond. The present data confirm previous claims that these galaxies have unusually large central velocity dispersions.…

Astrophysics · Physics 2007-05-23 Mario Mateo

We investigate the distribution of central velocity dispersions for quiescent galaxies in the SDSS at $0.03 \leq z \leq 0.10$. To construct the field velocity dispersion function (VDF), we construct a velocity dispersion complete sample of…

Astrophysics of Galaxies · Physics 2017-08-23 Jubee Sohn , H. Jabran Zahid , Margaret J. Geller

Both core accretion and disk instability appear to be required as formation mechanisms in order to explain the entire range of giant planets found in extrasolar planetary systems. Disk instability is based on the formation of clumps in a…

Astrophysics · Physics 2009-11-13 Alan P. Boss

A technique for the construction of axisymmetric distribution functions for individual galaxies is presented. It starts from the observed surface bright- ness distribution, which is deprojected to gain the axisymmetric luminosity density,…

Astrophysics · Physics 2015-06-24 Walter Dehnen

We discuss some contradictions found in the literature concerning the problem of stability of collisionless spherical stellar systems which are the simplest anisotropic generalization of the well-known polytrope models. Their distribution…

Solar and Stellar Astrophysics · Physics 2015-05-27 E. V. Polyachenko , V. L. Polyachenko , I. G. Shukhman

I review the up-to-date status on the properties of the Dark Matter density distribution around Galaxies. The rotation curves of spirals all conform to a same Universal profile which can be uniquely decomposed as the sum of an exponential…

Astrophysics · Physics 2007-05-23 Paolo Salucci

Dark matter mass density profiles and velocity distributions for a set of dwarf spheroidal galaxies (dSphs) have recently been obtained (F.Bezrukov, D.Gorbunov, E.Koreshkova arXiv:2412.20585) by performing a multi-parametric fit to the…

Astrophysics of Galaxies · Physics 2025-09-12 Fedor Bezrukov , Dmitry Gorbunov , Ekaterina Koreshkova

We describe a practical method for constructing axisymmetric two-integral galaxy models (with distribution functions of the form f(E,L_z), in which E is the orbital energy, and L_z is the vertical component of the angular momentum), based…

Astrophysics · Physics 2009-11-07 E. K. Verolme , P. T. de Zeeuw

We present an innovative approach to the methodology of dynamical modelling, allowing practical reconstruction of the underlying dark matter mass without assuming both the density and anisotropy functions. With this, the mass-anisotropy…

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