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The spherical Jeans equation is a widely used tool for dynamical study of gravitating systems in astronomy. Here we test its efficacy in robustly weighing the mass of Milky Way analogues, given they need not be in equilibrium or even…

Astrophysics of Galaxies · Physics 2018-01-31 Prajwal R. Kafle , Sanjib Sharma , Aaron S. G. Robotham , Pascal J. Elahi , Simon P. Driver

The spherical Jeans equation (SJE) is widely used in dynamical modelling of the Milky Way (MW) halo potential. We use haloes and galaxies from the cosmological Millennium-II simulation and hydrodynamical APOSTLE simulations to investigate…

Astrophysics of Galaxies · Physics 2018-03-21 Wenting Wang , Jiaxin Han , Shaun Cole , Surhud More , Carlos Frenk , Matthieu Schaller

The Jeans model is a semi-analytical approach to modeling self-interacting dark matter (SIDM) that works remarkably well to reproduce the spherically-averaged halo profiles from observations and simulations of relaxed galaxies and galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-18 Yilber Fabian Bautista , Andrew Robertson , Laura Sagunski , Adam Smith-Orlik , Sean Tulin

We search for evidence of dark matter in the Milky Way by utilizing the stellar number density distribution and kinematics measured by the Sloan Digital Sky Survey (SDSS) to heliocentric distances exceeding ~10 kpc. We employ the…

The spherical Jeans equation is widely used to estimate the mass content of a stellar systems with apparent spherical symmetry. However, this method suffers from a degeneracy between the assumed mass density and the kinematic anisotropy…

Astrophysics of Galaxies · Physics 2015-06-19 Foivos I. Diakogiannis , Geraint F. Lewis , Rodrigo A. Ibata

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…

Astrophysics of Galaxies · Physics 2015-06-19 Foivos I. Diakogiannis , Geraint F. Lewis , Rodrigo A. Ibata

We explore the density profile, shape, and virial mass of the Milky Way's dark matter halo using K giants (KG) from LAMOST and SDSS/SEGUE, as well as blue horizontal branch (BHB) stars from SDSS. Incorporating Gaia DR3 proper motions, we…

Astrophysics of Galaxies · Physics 2025-05-15 Lan Zhang , Xiang-Xiang Xue , Ling Zhu , Ruizhi Zhang , Chengqun Yang , Shi Shao , Jiang Chang , Feilu Wang , Hao Tian , Gang Zhao , Chao Liu

The kinematics of stars in dwarf spheroidal galaxies have been studied to understand the structure of dark matter halos. However, the kinematic information of these stars is often limited to celestial positions and line-of-sight velocities,…

Astrophysics of Galaxies · Physics 2025-06-03 Sung Hak Lim , Kohei Hayashi , Shun'ichi Horigome , Shigeki Matsumoto , Mihoko M. Nojiri

(Abridged) We present mass models of a sample of 14 spiral and 14 S0 galaxies that constrain their stellar and dark matter content. For each galaxy we derive the stellar mass distribution from near-infrared photometry under the assumptions…

Astrophysics of Galaxies · Physics 2011-04-07 Michael J. Williams , Martin Bureau , Michele Cappellari

Recent claims of observational evidence for self-interacting dark matter (SIDM) have relied on a semi-analytic method for predicting the density profiles of galaxies and galaxy clusters containing SIDM. We present a thorough description of…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-01 Andrew Robertson , Richard Massey , Vincent Eke , Joop Schaye , Tom Theuns

The spherical Jeans equation is commonly used to infer dark matter distributions in dwarf spheroidal satellites of the Milky Way to constrain the nature of dark matter. One of its assumptions is that of dynamical equilibrium while the…

Astrophysics of Galaxies · Physics 2026-03-18 Kristian Tchiorniy , Anna Genina

We measure the enclosed Milky Way mass profile to Galactocentric distances of $\sim70$ and $\sim50$ kpc using the smooth, diffuse stellar halo samples of Bird et al. The samples are LAMOST and SDSS/SEGUE K giants (KG) and SDSS/SEGUE blue…

Astrophysics of Galaxies · Physics 2026-01-14 Sarah A. Bird , Xiang-Xiang Xue , Chao Liu , Chris Flynn , Juntai Shen , Jie Wang , Chengqun Yang , Meng Zhai , Ling Zhu , Gang Zhao , Hai-Jun Tian

We present the theoretical framework to efficiently solve the Jeans equations for multi-component axisymmetric stellar systems, focusing on the scaling of all quantities entering them. The models may include an arbitrary number of stellar…

Astrophysics of Galaxies · Physics 2021-06-30 C. Caravita , L. Ciotti , S. Pellegrini

Studies of cluster mass and velocity anisotropy profiles are useful tests of dark matter models, and of the assembly history of clusters of galaxies. These studies might be affected by unknown systematics caused by projection effects. We…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-18 Tania Aguirre Tagliaferro , Andrea Biviano , Gabriella De Lucia , Emiliano Munari , Diego Garcia Lambas

We introduce a method for measuring the slopes of mass profiles within dwarf spheroidal (dSph) galaxies directly from stellar spectroscopic data and without adopting a dark matter halo model. Our method combines two recent results: 1)…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Matthew G. Walker , Jorge Peñarrubia

We derive the mass model of the Milky Way (MW) using a cored dark matter (DM) halo profile and recent data. The method used consists in fitting a spherically symmetric model of the Galaxy with a Burkert DM halo profile to available data: MW…

Astrophysics of Galaxies · Physics 2015-06-15 Fabrizio Nesti , Paolo Salucci

Using realistic cosmological simulations of Milky Way sized haloes, we study their dynamical state and the accuracy of inferring their mass profiles with steady-state models of dynamical tracers. We use a new method that describes the…

Astrophysics of Galaxies · Physics 2016-01-13 Jiaxin Han , Wenting Wang , Shaun Cole , Carlos S. Frenk

Proper motions of collisionless pointlike objects in a spherically symmetric system, for example stars in a galaxy, can be used to test whether that system is in equilibrium, with no assumptions regarding isotropy. In particular, the fourth…

Astrophysics of Galaxies · Physics 2017-07-04 Jarah Evslin , Antonino Del Popolo

Mass-modeling methods are used to infer the gravitational field of stellar systems, from globular clusters to giant elliptical galaxies. While many methods exist, most require assumptions about the form of the underlying distribution…

Astrophysics of Galaxies · Physics 2026-04-17 Andrés Bañares-Hernández , Justin I. Read , Mariana P. Júlio

Dwarf spheroidal (dSph) galaxies are among the most promising targets for the indirect detection of dark matter (DM) from annihilation and/or decay products. Empirical estimates of their DM content - and hence the magnitudes of expected…

High Energy Astrophysical Phenomena · Physics 2014-12-15 V. Bonnivard , C. Combet , D. Maurin , M. G. Walker
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