The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis

Autores
Curé, M.; Rial, D.F.
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fuente
Astron. Astrophys. 2004;428(2):545-554
Materia
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
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_00046361_v428_n2_p545_Cure

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oai_identifier_str paperaa:paper_00046361_v428_n2_p545_Cure
network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysisCuré, M.Rial, D.F.HydrodynamicsMethods: analyticalStars: early-typeStars: mass-lossStars: rotationStars: winds, outflowsDifferential equationsGalaxiesHydrodynamicsInterplanetary spacecraftIonizationRadiation effectsTopologyWind effectsAnalytical - starsEarly-type - starsMass-loss - starsOutflowsRotation - starsAstronomyThe 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.2004info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_00046361_v428_n2_p545_CureAstron. Astrophys. 2004;428(2):545-554reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-29T13:43:09Zpaperaa:paper_00046361_v428_n2_p545_CureInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-29 13:43:10.797Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis
title The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis
spellingShingle The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis
Curé, M.
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
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 The influence of rotation in radiation driven winds from hot stars: II. CAK topological analysis
dc.creator.none.fl_str_mv Curé, M.
Rial, D.F.
author Curé, M.
author_facet Curé, M.
Rial, D.F.
author_role author
author2 Rial, D.F.
author2_role author
dc.subject.none.fl_str_mv 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
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
dc.description.none.fl_txt_mv 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.
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.
publishDate 2004
dc.date.none.fl_str_mv 2004
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_00046361_v428_n2_p545_Cure
url http://hdl.handle.net/20.500.12110/paper_00046361_v428_n2_p545_Cure
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Astron. Astrophys. 2004;428(2):545-554
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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