The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis
The topological analysis from Bjorkman (1995) for the standard model that describes the winds from hot stars by Castor et al. (1975) has been extended to include the effect of stellar rotation and changes in the ionization of the wind. The differential equation for the momentum of the wind is non-li...
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paperaa:paper_00046361_v428_n2_p545_Cure2023-06-12T16:40:45Z The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis Astron. Astrophys. 2004;428(2):545-554 Curé, M. Rial, D.F. Hydrodynamics Methods: analytical Stars: early-type Stars: mass-loss Stars: rotation Stars: winds, outflows Differential equations Galaxies Hydrodynamics Interplanetary spacecraft Ionization Radiation effects Topology Wind effects Analytical - stars Early-type - stars Mass-loss - stars Outflows Rotation - stars Astronomy The topological analysis from Bjorkman (1995) for the standard model that describes the winds from hot stars by Castor et al. (1975) has been extended to include the effect of stellar rotation and changes in the ionization of the wind. The differential equation for the momentum of the wind is non-linear and transcendental for the velocity gradient. Due to this non-linearity the number of solutions that this equation possess is not known. After a change of variables and the introduction of a new physically meaningless independent variable, we manage to replace the non-linear momentum differential equation by a system of differential equations where all the derivatives are explicitely given. We then use this system of equations to study the topology of the rotating-CAK model. For the particular case when the wind is frozen in ionization (δ = 0) only one physical solution is found, the standard CAK solution, with a X-type singular point. For the more general case (δ ≠ 0), besides the standard CAK singular point, we find a second singular point which is focal-type (or attractor). We find also, that the wind does not adopt the maximal mass-loss rate but almost the minimal. Fil:Rial, D.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2004 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00046361_v428_n2_p545_Cure |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
language |
Inglés |
orig_language_str_mv |
eng |
topic |
Hydrodynamics Methods: analytical Stars: early-type Stars: mass-loss Stars: rotation Stars: winds, outflows Differential equations Galaxies Hydrodynamics Interplanetary spacecraft Ionization Radiation effects Topology Wind effects Analytical - stars Early-type - stars Mass-loss - stars Outflows Rotation - stars Astronomy |
spellingShingle |
Hydrodynamics Methods: analytical Stars: early-type Stars: mass-loss Stars: rotation Stars: winds, outflows Differential equations Galaxies Hydrodynamics Interplanetary spacecraft Ionization Radiation effects Topology Wind effects Analytical - stars Early-type - stars Mass-loss - stars Outflows Rotation - stars Astronomy Curé, M. Rial, D.F. The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis |
topic_facet |
Hydrodynamics Methods: analytical Stars: early-type Stars: mass-loss Stars: rotation Stars: winds, outflows Differential equations Galaxies Hydrodynamics Interplanetary spacecraft Ionization Radiation effects Topology Wind effects Analytical - stars Early-type - stars Mass-loss - stars Outflows Rotation - stars Astronomy |
description |
The topological analysis from Bjorkman (1995) for the standard model that describes the winds from hot stars by Castor et al. (1975) has been extended to include the effect of stellar rotation and changes in the ionization of the wind. The differential equation for the momentum of the wind is non-linear and transcendental for the velocity gradient. Due to this non-linearity the number of solutions that this equation possess is not known. After a change of variables and the introduction of a new physically meaningless independent variable, we manage to replace the non-linear momentum differential equation by a system of differential equations where all the derivatives are explicitely given. We then use this system of equations to study the topology of the rotating-CAK model. For the particular case when the wind is frozen in ionization (δ = 0) only one physical solution is found, the standard CAK solution, with a X-type singular point. For the more general case (δ ≠ 0), besides the standard CAK singular point, we find a second singular point which is focal-type (or attractor). We find also, that the wind does not adopt the maximal mass-loss rate but almost the minimal. |
format |
Artículo Artículo publishedVersion |
author |
Curé, M. Rial, D.F. |
author_facet |
Curé, M. Rial, D.F. |
author_sort |
Curé, M. |
title |
The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis |
title_short |
The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis |
title_full |
The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis |
title_fullStr |
The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis |
title_full_unstemmed |
The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis |
title_sort |
influence of rotation in radiation driven winds from hot stars: ii. cak topological analysis |
publishDate |
2004 |
url |
http://hdl.handle.net/20.500.12110/paper_00046361_v428_n2_p545_Cure |
work_keys_str_mv |
AT curem theinfluenceofrotationinradiationdrivenwindsfromhotstarsiicaktopologicalanalysis AT rialdf theinfluenceofrotationinradiationdrivenwindsfromhotstarsiicaktopologicalanalysis AT curem influenceofrotationinradiationdrivenwindsfromhotstarsiicaktopologicalanalysis AT rialdf influenceofrotationinradiationdrivenwindsfromhotstarsiicaktopologicalanalysis |
_version_ |
1769810366584324096 |