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Analytic distribution functions (DFs) for the Galactic disc are discussed. The DFs depend on action variables and their predictions for observable quantities are explored under the assumption that the motion perpendicular to the Galactic…

Astrophysics of Galaxies · Physics 2015-05-14 James Binney

The present-day response of a Galactic disc stellar population to a non-axisymmetric perturbation of the potential has previously been computed through perturbation theory within the phase-space coordinates of the unperturbed axisymmetric…

Astrophysics of Galaxies · Physics 2017-08-30 Giacomo Monari , Benoit Famaey , Jean-Baptiste Fouvry , James Binney

A general method is presented for constructing distribution functions for flat systems whose surface density and Toomre's Q number profile is given. The purpose of these functions is to provide plausible galactic models and assess their…

Astrophysics · Physics 2007-05-23 C. Pichon , D. Lynden-Bell

Some formulae are presented for finding two-integral distribution functions (DFs) which depends only on the two classical integrals of the energy and the magnitude of the angular momentum with respect to the axis of symmetry for stellar…

Mathematical Physics · Physics 2007-08-28 Zhenglu Jiang , Leonid Ossipkov

A mathematical model of the distribution function for the discrete 3-disk is proposed in order to utilize in the statistical evolution equation of the 3-dimensional Universe. The model distribution is constructed based on analyses in known…

General Relativity and Quantum Cosmology · Physics 2015-12-14 Tetsuyuki Yukawa

Starting from an axisymmetric equilibrium distribution function (DF) in action space, representing a Milky Way thin disc stellar population, we use the linearized Boltzmann equation to explicitly compute the response to a three-dimensional…

Astrophysics of Galaxies · Physics 2016-06-23 Giacomo Monari , Benoit Famaey , Arnaud Siebert

We show different expressions of distribution functions (DFs) which depend only on the two classical integrals of the energy and the magnitude of the angular momentum with respect to the axis of symmetry for stellar systems with known…

Astrophysics · Physics 2009-06-25 Zhenglu Jiang , Leonid Ossipkov

We present an approach to the design of distribution functions that depend on the phase-space coordinates through the action integrals. The approach makes it easy to construct a dynamical model of a given stellar component. We illustrate…

Astrophysics of Galaxies · Physics 2015-06-23 Lorenzo Posti , James Binney , Carlo Nipoti , Luca Ciotti

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…

We extend models of our Galaxy based on distribution functions (DFs) that are analytic functions of the action integrals to extended distribution functions (EDFs), which have an analytic dependence on metallicity as well. We use a simple,…

Astrophysics of Galaxies · Physics 2015-06-03 Jason L. Sanders , James Binney

We present a method for constructing dynamical models of stellar systems described by distribution functions and constrained by discrete-kinematic data. We implement various improvements compared to earlier applications of this approach,…

Astrophysics of Galaxies · Physics 2026-04-28 Eugene Vasiliev , Anja Feldmeier-Krause , Mattia C. Sormani

This article is a tutorial on deriving physical properties from the spectral energy distributions of circumstellar disks. It includes a new derivation of disk mass from millimeter-wave flux density using recent disk model parameters. The…

Astrophysics · Physics 2007-05-23 Steven V. W. Beckwith

Contex. Stellar spectra synthesis is essential for the characterization of potential planetary hosts. In addition, comprehensive stellar variability calculations with fast radiative transfer are needed to disentangle planetary transits from…

Solar and Stellar Astrophysics · Physics 2019-07-17 M. Cernetic , A. I. Shapiro , V. Witzke , N. A. Krivova , S. K. Solanki , R. V. Tagirov

We construct a model for the Galactic globular cluster system based on a realistic gravitational potential and a distribution function (DF) analytic in the action integrals. The DF comprises disc and halo components whose functional forms…

Astrophysics of Galaxies · Physics 2017-02-08 James Binney , Leong Khim Wong

Using a new algorithm for estimating the actions of orbits a parametrised distribution function is automatically fitted to observational data for the solar neighbourhood. We adopt a gravitational potential that is generated by three discs…

Astrophysics of Galaxies · Physics 2015-06-05 James Binney

We present a method for recovering the distribution functions of edge-on thin axisymmetric disks directly from their observable kinematic properties. The most generally observable properties of such a stellar system are the line-of-sight…

Astrophysics · Physics 2015-06-24 A. Mathieu , M. R. Merrifield

We address an issue that arises when self-consistently flattened dynamical stellar systems are constructed by adopting a distribution function (DF) that depends on the action integrals. The velocity distribution at points on the symmetry…

Astrophysics of Galaxies · Physics 2019-07-24 Raffaele Pascale , James Binney , Carlo Nipoti

The density profiles established in the self-similar dynamical phase of dark matter haloes recollapse are all close to isothermal. This is steeper than the predictions of some n-body simulations for the central regions of the halo, which…

Astrophysics · Physics 2009-11-07 R. N Henriksen , M. Le Delliou

We describe methods for setting up self-consistent disk-bulge-halo galaxy models. The bulge and halo distribution functions (\df) are functions of $E$ and $L_z$ only. The halo's flattening and rotation can be specified. The disk \df\ is a…

Astrophysics · Physics 2016-08-30 Konrad Kuijken , John Dubinski

We present the derivation of distribution functions for the first four members of a family of disks, previously obtained in (MNRAS, 371, 1873, 2006), which represent a family of axially symmetric galaxy models with finite radius and well…

Astrophysics · Physics 2016-07-07 Guillermo A. González , Juan F. Pedraza , Javier Ramos-Caro
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