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Violation of the Vogt-Russell theorem for homogeneous nondegenerate starsA systematic study is made of the number and types of solutions of the equilibrium equations of stellar structure, in the case of homogeneous stars of Population I over the mass range 2-1000 solar masses, with four different opacity representations. A variant of the usual fitting method permits the simultaneous investigation of convergence and tendency toward multiplicity of the solutions. Quadratic interpolation and extrapolation of Carson's new opacity tables produces a very large opacity at low temperatures that greatly affects the loose outer layers of massive stars, while leaving the cores practically unaffected. As a result, over a small mass range, well above 100 solar masses, triple solutions exist, always near an effective temperature of log Te = 4.73. A simple classification of the known exceptions to the Vogt-Russell theorem on the uniqueness of stellar structure is given.
Document ID
19750033543
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Stothers, R.
(NASA Goddard Institute for Space Studies New York, N.Y., United States)
Date Acquired
August 8, 2013
Publication Date
December 15, 1974
Publication Information
Publication: Astrophysical Journal
Volume: 194
Subject Category
Astrophysics
Accession Number
75A17615
Distribution Limits
Public
Copyright
Other

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