On the generalized Schuster density law
A special case of the generalized Schuster density law for stellar systems with spherical symmetry is discussed; here the exponent in the denominator is equal to i/2 where i is a positive integer. Special attention is paid to the situation 2 ≤ i ≤ 5 since then the mass distributions in almo...
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| Format: | Article |
| Language: | English |
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Astronomical Observatory, Department of Astronomy, Belgrade
1998-01-01
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| Series: | Serbian Astronomical Journal |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-698X/1998/1450-698X9858015N.pdf |
| _version_ | 1818957130890215424 |
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| author | Ninković S. |
| author_facet | Ninković S. |
| author_sort | Ninković S. |
| collection | DOAJ |
| description | A special case of the generalized Schuster density law for stellar systems
with spherical symmetry is discussed; here the exponent in the denominator is
equal to i/2 where i is a positive integer. Special attention is paid to the
situation 2 ≤ i ≤ 5 since then the mass distributions in almost all
approximately spherical stellar systems and subsystems known to exist - e. g.
dark coronae of galaxies, bulges and halos of spiral galaxies, as well as the
systems with the classical Schuster density law - are included. With certain
improvements one can also obtain more ample variants including the density
continuously attaining zero at a finite radius, somewhat different
descriptions of the mass distribution, as well as generalizations towards
axial symmetry. It is shown among others, that a spheroid with this mass
distribution (i=4) yields the same total mass as the exponential disc and
that the mass distribution proposed by King belongs asymptotically to the
generalized Schuster density law (i=3). |
| first_indexed | 2024-12-20T11:04:58Z |
| format | Article |
| id | doaj.art-f38da09f4f6a4950b9ae0e122fa9bf0e |
| institution | Directory Open Access Journal |
| issn | 1450-698X 1820-9289 |
| language | English |
| last_indexed | 2024-12-20T11:04:58Z |
| publishDate | 1998-01-01 |
| publisher | Astronomical Observatory, Department of Astronomy, Belgrade |
| record_format | Article |
| series | Serbian Astronomical Journal |
| spelling | doaj.art-f38da09f4f6a4950b9ae0e122fa9bf0e2022-12-21T19:42:53ZengAstronomical Observatory, Department of Astronomy, BelgradeSerbian Astronomical Journal1450-698X1820-92891998-01-011998158152110.2298/SAJ9858015N1450-698X9858015NOn the generalized Schuster density lawNinković S.0Astronomical Observatory, BelgradeA special case of the generalized Schuster density law for stellar systems with spherical symmetry is discussed; here the exponent in the denominator is equal to i/2 where i is a positive integer. Special attention is paid to the situation 2 ≤ i ≤ 5 since then the mass distributions in almost all approximately spherical stellar systems and subsystems known to exist - e. g. dark coronae of galaxies, bulges and halos of spiral galaxies, as well as the systems with the classical Schuster density law - are included. With certain improvements one can also obtain more ample variants including the density continuously attaining zero at a finite radius, somewhat different descriptions of the mass distribution, as well as generalizations towards axial symmetry. It is shown among others, that a spheroid with this mass distribution (i=4) yields the same total mass as the exponential disc and that the mass distribution proposed by King belongs asymptotically to the generalized Schuster density law (i=3).http://www.doiserbia.nb.rs/img/doi/1450-698X/1998/1450-698X9858015N.pdf |
| spellingShingle | Ninković S. On the generalized Schuster density law Serbian Astronomical Journal |
| title | On the generalized Schuster density law |
| title_full | On the generalized Schuster density law |
| title_fullStr | On the generalized Schuster density law |
| title_full_unstemmed | On the generalized Schuster density law |
| title_short | On the generalized Schuster density law |
| title_sort | on the generalized schuster density law |
| url | http://www.doiserbia.nb.rs/img/doi/1450-698X/1998/1450-698X9858015N.pdf |
| work_keys_str_mv | AT ninkovics onthegeneralizedschusterdensitylaw |