Reconsideration of mass-distribution models

The mass-distribution model proposed by Kuzmin and Veltmann (1973) is revisited. It is subdivided into two models which have a common case. Only one of them is subject of the present study. The study is focused on the relation between the density ratio (the central one to that corresponding...

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Main Author: Ninković S.
Format: Article
Language:English
Published: Astronomical Observatory, Department of Astronomy, Belgrade 2014-01-01
Series:Serbian Astronomical Journal
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-698X/2014/1450-698X1488023N.pdf
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author Ninković S.
author_facet Ninković S.
author_sort Ninković S.
collection DOAJ
description The mass-distribution model proposed by Kuzmin and Veltmann (1973) is revisited. It is subdivided into two models which have a common case. Only one of them is subject of the present study. The study is focused on the relation between the density ratio (the central one to that corresponding to the core radius) and the total-mass fraction within the core radius. The latter one is an increasing function of the former one, but it cannot exceed one quarter, which takes place when the density ratio tends to infinity. Therefore, the model is extended by representing the density as a sum of two components. The extension results into possibility of having a correspondence between the infinite density ratio and 100% total-mass fraction. The number of parameters in the extended model exceeds that of the original model. Due to this, in the extended model, the correspondence between the density ratio and total-mass fraction is no longer one-to-one; several values of the total-mass fraction can correspond to the same value for the density ratio. In this way, the extended model could explain the contingency of having two, or more, groups of real stellar systems (subsystems) in the diagram total-mass fraction versus density ratio. [Projekat Ministarstva nauke Republike Srbije, br. 176011: Dynamics and Kinematics of Celestial Bodies and Systems]
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spelling doaj.art-02e436dd71a843e6b553215ec55650d92022-12-21T19:28:22ZengAstronomical Observatory, Department of Astronomy, BelgradeSerbian Astronomical Journal1450-698X1820-92892014-01-012014188232810.2298/SAJ1488023N1450-698X1488023NReconsideration of mass-distribution modelsNinković S.0Astronomical observatory, BelgradeThe mass-distribution model proposed by Kuzmin and Veltmann (1973) is revisited. It is subdivided into two models which have a common case. Only one of them is subject of the present study. The study is focused on the relation between the density ratio (the central one to that corresponding to the core radius) and the total-mass fraction within the core radius. The latter one is an increasing function of the former one, but it cannot exceed one quarter, which takes place when the density ratio tends to infinity. Therefore, the model is extended by representing the density as a sum of two components. The extension results into possibility of having a correspondence between the infinite density ratio and 100% total-mass fraction. The number of parameters in the extended model exceeds that of the original model. Due to this, in the extended model, the correspondence between the density ratio and total-mass fraction is no longer one-to-one; several values of the total-mass fraction can correspond to the same value for the density ratio. In this way, the extended model could explain the contingency of having two, or more, groups of real stellar systems (subsystems) in the diagram total-mass fraction versus density ratio. [Projekat Ministarstva nauke Republike Srbije, br. 176011: Dynamics and Kinematics of Celestial Bodies and Systems]http://www.doiserbia.nb.rs/img/doi/1450-698X/2014/1450-698X1488023N.pdfgalaxies: structuregalaxies: kinematics and dynamics
spellingShingle Ninković S.
Reconsideration of mass-distribution models
Serbian Astronomical Journal
galaxies: structure
galaxies: kinematics and dynamics
title Reconsideration of mass-distribution models
title_full Reconsideration of mass-distribution models
title_fullStr Reconsideration of mass-distribution models
title_full_unstemmed Reconsideration of mass-distribution models
title_short Reconsideration of mass-distribution models
title_sort reconsideration of mass distribution models
topic galaxies: structure
galaxies: kinematics and dynamics
url http://www.doiserbia.nb.rs/img/doi/1450-698X/2014/1450-698X1488023N.pdf
work_keys_str_mv AT ninkovics reconsiderationofmassdistributionmodels