The collapse of the cores of slowly rotating isothermal clouds
A generalized model which accounts for the effects of initially uniform and slow rotation is defined for the spherical collapse of a singular isothermal sphere such as protosolar and binary nebulae. An initial unstable equilibrium state is described for a sound speed of 0.35 km/sec and a rotation ra...
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Veröffentlicht in: | Astrophys. J.; (United States) 1984-11, Vol.286 (2), p.529-551 |
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container_title | Astrophys. J.; (United States) |
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creator | Terebey, S. Shu, F. H. Cassen, P. |
description | A generalized model which accounts for the effects of initially uniform and slow rotation is defined for the spherical collapse of a singular isothermal sphere such as protosolar and binary nebulae. An initial unstable equilibrium state is described for a sound speed of 0.35 km/sec and a rotation rate of 10 to the -14th/sec for the molecular cloud surrounding the accreting core. The total angular momentum and mass of the inner cloud is set equal to solar system values. The evolution of the collapse is traced by applying a perturbation analysis to the similarity solution for a nonrotating condition, and matched asymptotic expansions solve the hydrodynamic equations. The model is concluded a valid tool for studying star and nebular disk formation. |
doi_str_mv | 10.1086/162628 |
format | Article |
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H.</creatorcontrib><creatorcontrib>Cassen, P.</creatorcontrib><creatorcontrib>Astronomy Department, University of California, Berkeley</creatorcontrib><title>The collapse of the cores of slowly rotating isothermal clouds</title><title>Astrophys. J.; (United States)</title><description>A generalized model which accounts for the effects of initially uniform and slow rotation is defined for the spherical collapse of a singular isothermal sphere such as protosolar and binary nebulae. An initial unstable equilibrium state is described for a sound speed of 0.35 km/sec and a rotation rate of 10 to the -14th/sec for the molecular cloud surrounding the accreting core. The total angular momentum and mass of the inner cloud is set equal to solar system values. The evolution of the collapse is traced by applying a perturbation analysis to the similarity solution for a nonrotating condition, and matched asymptotic expansions solve the hydrodynamic equations. 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Galactic and extragalactic objects and systems. The universe</topic><topic>WAVE EQUATIONS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Terebey, S.</creatorcontrib><creatorcontrib>Shu, F. H.</creatorcontrib><creatorcontrib>Cassen, P.</creatorcontrib><creatorcontrib>Astronomy Department, University of California, Berkeley</creatorcontrib><collection>NASA Scientific and Technical Information</collection><collection>NASA Technical Reports Server</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>Astrophys. J.; (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Terebey, S.</au><au>Shu, F. H.</au><au>Cassen, P.</au><aucorp>Astronomy Department, University of California, Berkeley</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The collapse of the cores of slowly rotating isothermal clouds</atitle><jtitle>Astrophys. J.; (United States)</jtitle><date>1984-11-15</date><risdate>1984</risdate><volume>286</volume><issue>2</issue><spage>529</spage><epage>551</epage><pages>529-551</pages><issn>0004-637X</issn><eissn>1538-4357</eissn><coden>ASJOAB</coden><abstract>A generalized model which accounts for the effects of initially uniform and slow rotation is defined for the spherical collapse of a singular isothermal sphere such as protosolar and binary nebulae. An initial unstable equilibrium state is described for a sound speed of 0.35 km/sec and a rotation rate of 10 to the -14th/sec for the molecular cloud surrounding the accreting core. The total angular momentum and mass of the inner cloud is set equal to solar system values. The evolution of the collapse is traced by applying a perturbation analysis to the similarity solution for a nonrotating condition, and matched asymptotic expansions solve the hydrodynamic equations. The model is concluded a valid tool for studying star and nebular disk formation.</abstract><cop>Legacy CDMS</cop><pub>University of Chicago Press</pub><doi>10.1086/162628</doi><tpages>23</tpages><oa>free_for_read</oa></addata></record> |
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ispartof | Astrophys. J.; (United States), 1984-11, Vol.286 (2), p.529-551 |
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source | NASA Technical Reports Server; Alma/SFX Local Collection |
subjects | 640102 - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources ANALYTICAL SOLUTION Astronomy Astrophysics BOUNDARY CONDITIONS CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DIFFERENTIAL EQUATIONS DISTURBANCES Earth, ocean, space EQUATIONS Exact sciences and technology FLUID FLOW FLUID MECHANICS GRAVITATIONAL COLLAPSE HYDRODYNAMICS Interstellar medium (ism) and nebulae in milky way MATHEMATICAL MODELS MECHANICS MOTION NEBULAE NUMERICAL SOLUTION PARTIAL DIFFERENTIAL EQUATIONS ROTATION STAR ACCRETION STAR EVOLUTION Stellar systems. Galactic and extragalactic objects and systems. The universe WAVE EQUATIONS |
title | The collapse of the cores of slowly rotating isothermal clouds |
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