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We simultaneously model the gravitational potential and phase space distribution function (DF) of giant stars near the Sun using the {\it Gaia} DR2 radial velocity catalog. We assume that the Galaxy is in equilibrium and is symmetric about…

Astrophysics of Galaxies · Physics 2023-02-01 Haochuan Li , Lawrence Widrow

The gravitational potential of the Milky Way encodes information about the distribution of all matter -- including dark matter -- throughout the Galaxy. Gaia data release 3 has revealed a complex structure that necessitates flexible models…

Astrophysics of Galaxies · Physics 2025-08-05 Taavet Kalda , Gregory M. Green

A brief review of recent work. I describe dynamical modelling of the Milky Way using action-angle coordinates. I explain what action-angle coordinates are, and what progress has been made in the past few years to ensuring they can be used…

Astrophysics of Galaxies · Physics 2015-07-29 Paul J. McMillan

We review the implications of the Gaia Data Release 2 catalogue for studying the dynamics of Milky Way globular clusters, focusing on two separate topics. The first one is the analysis of the full 6-dimensional phase-space distribution of…

Astrophysics of Galaxies · Physics 2020-03-18 Eugene Vasiliev

Vertical stellar kinematics+density can be used to trace the dark matter distribution [or the equivalent phantom mass in a Modified Newtonian Dynamics (MOND) scenario] through Jeans equations. In this paper, we want to improve this type of…

Astrophysics of Galaxies · Physics 2024-12-16 Martin Lopez-Corredoira

We present an axisymmetric, equilibrium model for late-type galaxies which consists of an exponential disk, a Sersic bulge, and a cuspy dark halo. The model is specified by a phase space distribution function which, in turn, depends on the…

Astrophysics · Physics 2010-04-21 Lawrence M. Widrow , Brent Pym , John Dubinski

The GAIA satellite will observe the Galaxy and its closest satellites in great detail. This should allow (i) dating past events of dwarf galaxies merging or interacting with the Galaxy, and much improved orbital parameters of the nine dwarf…

Astrophysics · Physics 2007-05-23 Boudewijn F. Roukema

GAIA has been approved to provide the data needed to quantify the formation and evolution of the Milky Way Galaxy, and its near neighbours. That requires study of all four key Galactic stellar populations: Bulge, Halo, Thick Disk, Thin…

Astrophysics · Physics 2007-05-23 Gerry Gilmore

Distribution functions (DFs) for dynamically warm thin stellar disks residing in arbitrary axisymmetric potentials are presented which approximately reproduce pre-described surface-density and velocity-dispersion profiles. The functional…

Astrophysics · Physics 2009-10-31 Walter Dehnen

A dynamic model of the Galaxy is constructed based on kinematic data for masers with trigonometric parallaxes. Maser data is used to compute the model potential in the Galactic plane. The potential is then generalized to three dimensions…

Astrophysics of Galaxies · Physics 2018-02-28 A. O. Gromov , I. I. Nikiforov , L. P. Ossipkov

We present new equilibrium component distribution functions that depend on three analytic integrals in a Stackel potential, and that can be used to model stellar discs of galaxies. These components are generalizations of two-integral ones…

Astrophysics · Physics 2008-11-26 B. Famaey , K. Van Caelenberg , H. Dejonghe

We present a method to constrain the potential of the non-axisymmetric components of the Galaxy using the kinematics of stars in the solar neighborhood. The basic premise is that dynamical substructures in phase-space (i.e. due to the bar…

Astrophysics of Galaxies · Physics 2015-05-30 Giacomo Monari , Teresa Antoja , Amina Helmi

A suite of vast stellar surveys mapping the Milky Way, culminating in the Gaia mission, is revolutionizing the empirical information about the distribution and properties of stars in the Galactic stellar disk. We review and lay out what…

Astrophysics of Galaxies · Physics 2013-12-04 Hans-Walter Rix , Jo Bovy

Two main features of the observable distribution of visible matter are the space correlations of galaxy positions and the mass function of galaxies. As discussed in Pietronero and Sylos Labini on this issue ([1], see also [2],[3]), the…

Astrophysics · Physics 2016-08-30 F. Sylos Labini , L. Pietronero

We present an analytic model of the stellar mass distribution of the Milky Way bar. The model is obtained by fitting a multi-component parametric density distribution to a made-to-measure N-body model of Portail et al., constructed to match…

Astrophysics of Galaxies · Physics 2022-05-25 Mattia C. Sormani , Ortwin Gerhard , Matthieu Portail , Eugene Vasiliev , Jonathan Clarke

In this work, two new axisymmetric models for the Galactic mass distribution are presented. Motivated by recent results, these two models include the contribution of a stellar thin disc and of a thick disc, as massive as the thin…

Astrophysics of Galaxies · Physics 2017-02-01 Ektoras Pouliasis , Paola Di Matteo , Misha Haywood

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…

Astrophysics · Physics 2008-12-31 Zhenglu Jiang , Leonid Ossipkov

The stellar velocity distribution function (DF) in the solar vicinity is re-examined using data from the SDSS APOGEE survey's DR16 and \emph{Gaia} DR2. By exploiting APOGEE's ability to chemically discriminate with great reliability the…

Stellar streams provide one of the most promising avenues for constraining the global mass distribution of the Milky Way and the nature of dark matter (DM). The stream stars' kinematic "track" enables inference of large-scale properties of…

Astrophysics of Galaxies · Physics 2025-10-02 Kiyan Tavangar , Adrian M. Price-Whelan

The standard picture of galaxy formation motivates the decomposition of the Milky Way into 3--4 stellar populations with distinct kinematic and elemental abundance distributions: the thin disk, thick disk, bulge, and stellar halo. To test…