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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Format: | Article |
Language: | English |
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Astronomical Observatory, Department of Astronomy, Belgrade
2014-01-01
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Series: | Serbian Astronomical Journal |
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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] |
first_indexed | 2024-12-20T19:47:52Z |
format | Article |
id | doaj.art-02e436dd71a843e6b553215ec55650d9 |
institution | Directory Open Access Journal |
issn | 1450-698X 1820-9289 |
language | English |
last_indexed | 2024-12-20T19:47:52Z |
publishDate | 2014-01-01 |
publisher | Astronomical Observatory, Department of Astronomy, Belgrade |
record_format | Article |
series | Serbian Astronomical Journal |
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 |