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I review the connection between dynamics and the baryonic mass distribution in rotationally supported galaxies. The enclosed dynamical mass-to-light ratio increases with decreasing galaxy luminosity and surface brightness. The correlation…

Astrophysics of Galaxies · Physics 2015-03-27 Stacy S. McGaugh

We provide a higher dimensional extension of the gravitational decoupling method. This extended method allows to obtain new analytic and well behaved solutions that could be associated to higher dimensional stellar distributions.…

General Relativity and Quantum Cosmology · Physics 2019-04-25 Milko Estrada , Reginaldo Prado

We demonstrate that rapidly rotating bipolytropic (composite polytropic) stars and toroidal disks can be obtained using Hachisu's self consistent field technique. The core and the envelope in such a structure can have different polytropic…

Solar and Stellar Astrophysics · Physics 2017-09-04 Kundan Kadam , Patrick M. Motl , Juhan Frank , Geoffrey C. Clayton , Dominic C. Marcello

Diffferentially rotating stars can support significantly more mass in equilibrium than nonrotating or uniformly rotating stars, according to general relativity. The remnant of a binary neutron star merger may give rise to such a…

Astrophysics · Physics 2009-10-31 Stuart L. Shapiro

We develop an effective model to describe the dynamics of a system of particle moving in circular configurations around a central mass, by considering the continuum limit of the angular distribution, to obtain the stable configurations for…

Earth and Planetary Astrophysics · Physics 2025-11-24 Jeremías Ruta , Nicolás Grandi , Tobías Canavesi

An earlier derived quasi-isothermal St\"ackel's model of mass distribution in stellar systems and the corresponding formula for space density are applied to our Galaxy. The model rotation curve is fitted to HI kinematical data. The…

Astrophysics of Galaxies · Physics 2018-03-14 A. O. Gromov , I. I. Nikiforov , L. P. Ossipkov

We present a ready-to-use method to constrain the density distribution in early-type galaxy lenses. Assuming a power-law density profile, then joint use of the virial theorem and the lens equation yields simple formulae for the power-law…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 A. Agnello , M. W. Auger , N. W. Evans

This paper presents a set of new conditions on the augmented density of a spherical anisotropic system that is necessary for the underlying two-integral phase-space distribution function to be non-negative. In particular, it is shown that…

Mathematical Physics · Physics 2011-06-07 J. An

A simple analytical model for describing inner parts of dark matter halo is considered. It is assumed that dark matter density is power-law. The model deals with dark matter distribution function in phase space of adiabatic invariants…

Astrophysics · Physics 2017-04-24 E. Vasiliev

The shape of a rotating star consisting of equilibrium plasma is considered. The velocity of apsidal rotation of close binary stars (periastron rotation) which depends on the star shapes is calculated. The obtained estimations are in a good…

Astrophysics · Physics 2007-05-23 B. V. Vasiliev

The macroscopic model is formulated for a neutron star (NS) as a perfect liquid drop at the equilibrium. We use the leptodermic approximation $a/R\ll 1$, where $a$ is the crust thickness of the effective NS surface (ES), and $R$ is the mean…

Nuclear Theory · Physics 2025-08-07 A. G. Magner , S. P. Maydanyuk , A. Bonasera , H. Zheng , T. Depastas , A. I. Levon , U. V. Grygoriev

We investigate the dynamical properties of asymmetric nuclear matter at low density. The occurrence of new instabilities, that lead the system to a dynamical fragment formation, is illustrated, discussing in particular the charge symmetry…

Nuclear Theory · Physics 2008-11-26 V. Baran , M. Colonna , M. Di Toro , A. B. Larionov

We have considered a stationary outflowing envelope from the star accelerated by the radiative force in arbitrary optical depth case. Introduced approximations provide satisfactory description of the behavior of the matter flux with…

Astrophysics · Physics 2007-05-23 G. S. Bisnovatyi-Kogan , A. V. Dorodnitsyn

By considering that the distribution of measured light along any galactocentric radius of an elliptical galaxy can be well represented by a R^{1/n} Sersic law, we propose in this paper a ``discrete ordenate'' method, which, for any value of…

Astrophysics · Physics 2007-05-23 E. Simonneau , F. Prada

Over time, tides synchronize the rotation periods of stars in a binary system to the orbital period. However, if the star exhibits differential rotation then only a portion of it can rotate at the orbital period, so the rotation period at…

Solar and Stellar Astrophysics · Physics 2019-11-13 Adam S. Jermyn , Jamie Tayar , Jim Fuller

This paper investigates how a self bound equation of state (EOS), which describes strange quark stars, affects the rotational properties of compact stars, focusing on deviations from universal relations governing gravitational mass and…

High Energy Astrophysical Phenomena · Physics 2025-12-16 Andreas Konstantinou

Behavior of the mixture of particles and dimers moving with different jump rates at reconstructed surfaces is described. Collective diffusion coefficient is calculated by the variational approach. Anisotropy of the collective particle…

Statistical Mechanics · Physics 2014-05-12 Marcin Mińkowski , Magdalena A. Załuska Kotur

We have derived orbital basis sets from scattering theory. They are expressed as polynomial approximations to the energy dependence of a set of partial waves, in quantized form. The corresponding matrices, as well as the Hamiltonian and…

Condensed Matter · Physics 2009-10-31 O. K. Andersen , T. Saha-Dasgupta

The spectral energy distribution (SED) of a non-spherical star could differ significantly from the SED of a spherical star with the same average temperature and luminosity. Calculation of the SED of a deformed star is often approximated as…

Astrophysics · Physics 2009-11-11 C. C. Lovekin , R. G. Deupree , C. I. Short

Starting with just the assumption of uniformly distributed orbital orientations, we derive expressions for the distributions of the Keplerian orbital elements as functions of arbitrary distributions of eccentricity and semi-major axis. We…

Instrumentation and Methods for Astrophysics · Physics 2011-01-24 Dmitry Savransky , Eric Cady , N. Jeremy Kasdin