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An archetype hydrogen atmosphere problemPopulations for the first three bound states and the continuum of hydrogen are determined for an isothermal hydrostatic atmosphere at 20,000 K. The atmosphere is treated as optically thin in the Balmer and Paschen continua and illuminated by continuum radiation at these wavelengths with prescribed radiation temperatures. The atmosphere is optically thick in the 2-1, 3-1, 3-2 and c-1 transitions. Three stages of approximation are treated: (1) radiative detailed balance in the 2-1, 3-1 and 3-2 transitions, (2) radiative detailed balance in the 3-1 and 3-2 transitions, and (3) all transitions out of detailed balance. The solution of this problem is nontrivial and presents sufficient difficulty to have caused the failure of at least one rather standard technique. The problem is thus a good archetype against which new methods or new implementations of old methods may be tested.
Document ID
19760038402
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Athay, R. G.
(Colorado Univ. Boulder, CO, United States)
Mihalas, D.
(High Altitude Observatory Boulder, Colo., United States)
Shine, R. A.
(Colorado, University Boulder, Colo., United States)
Date Acquired
August 8, 2013
Publication Date
November 1, 1975
Publication Information
Publication: Solar Physics
Volume: 45
Subject Category
Astrophysics
Accession Number
76A21368
Funding Number(s)
CONTRACT_GRANT: NAS5-11363
Distribution Limits
Public
Copyright
Other

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