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
Hauptverfasser: Terebey, S., Shu, F. H., Cassen, P.
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container_title Astrophys. J.; (United States)
container_volume 286
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
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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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