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We present a significantly improved version of our numerical code JASMINE, that can now solve the Jeans equations for axisymmetric models of stellar systems, composed of an arbitrary number of stellar populations, a Dark Matter halo, and a…

Astrophysics of Galaxies · Physics 2020-03-18 Caterina Caravita , Luca Ciotti , Silvia Pellegrini

We present the analytical solution of the two-integrals Jeans equations for Miyamoto-Nagai discs embedded in Binney logarithmic dark matter haloes. The equations can be solved (both with standard methods and with the Residue Theorem) for…

Astrophysics of Galaxies · Physics 2015-06-23 Christophe O. Smet , Silvia Posacki , Luca Ciotti

Using three-dimensional stellar kinematic data from simulated galaxies, we examine the efficacy of a Jeans equation analysis in reconstructing the total disk surface density, including the dark matter, at the "Solar" radius. Our simulation…

Astrophysics of Galaxies · Physics 2016-01-18 G. N. Candlish , R. Smith , C. Moni Bidin , B. K. Gibson

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…

Astrophysics of Galaxies · Physics 2020-11-04 L. Ciotti , A. Mancino , S. Pellegrini , A. Ziaee Lorzad

I present a flexible solution for the axisymmetric Jeans equations of stellar hydrodynamics under the assumption of an anisotropic (three-integral) velocity ellipsoid aligned with the spherical polar coordinate system. I describe and test a…

Astrophysics of Galaxies · Physics 2020-04-24 Michele Cappellari

Axisymmetric Jeans modelling is widely used to infer galaxy mass profiles from integral-field kinematics, but existing implementations maintain tractability by adopting highly restricted anisotropy prescriptions. I present a new spectral…

Astrophysics of Galaxies · Physics 2026-03-03 Michele Cappellari

The Jeans equations give the second moments or stresses required to support a stellar population against the gravity field. A general solution of the Jeans equations for arbitrary axisymmetric scale-free densities in flattened scale-free…

Astrophysics · Physics 2015-06-24 N. W. Evans , R. M. Häfner , P. T. de Zeeuw

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

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 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

Spherical Jeans modeling is widely used to estimate mass profiles of systems from star clusters to galactic stellar haloes to clusters of galaxies. It derives the cumulative mass profile, M(<r), from kinematics of tracers of the potential…

Astrophysics of Galaxies · Physics 2022-02-23 Nabeel Rehemtulla , Monica Valluri , Eugene Vasiliev

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

The time evolution of initially balanced, rapidly rotating models for an isolated disk of highly flattened galaxies of stars is calculated. The method of direct integration of the Newtonian equations of motion of stars over a time span of…

Astrophysics · Physics 2007-05-23 Evgeny Griv , Michael Gedalin , Edward Liverts , David Eichler , Yehoshua Kimhi , Chi Yuan

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…

Astrophysics · Physics 2008-12-06 Michele Cappellari

The Jeans analysis is often used to infer the total density of a system by relating the velocity moments of an observable tracer population to the underlying gravitational potential. This technique has recently been applied in the search…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-21 Thomas Richardson , Malcolm Fairbairn

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…

Astrophysics of Galaxies · Physics 2017-12-20 L. Ciotti , A. Ziaee Lorzad

(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

The density of dark matter near the Sun is important for experiments hunting for dark matter particles in the laboratory, and for constraining the local shape of the Milky Way's dark matter halo. Estimates to date have typically assumed…

Astrophysics of Galaxies · Physics 2022-02-16 S. Sivertsson , J. I. Read , H. Silverwood , P. F. de Salas , K. Malhan , A. Widmark , C. F. P. Laporte , S. Garbari , K. Freese

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

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
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