Statistics – Computation
Scientific paper
Sep 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986mnras.222..201k&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 222, Sept. 1, 1986, p. 201-211.
Statistics
Computation
Gravitational Collapse, Radiant Cooling, Stellar Coronas, Stellar Mass Accretion, Time Dependence, White Dwarf Stars, Computational Astrophysics, Emission Spectra, Lagrange Coordinates, Stellar Luminosity, Stellar Temperature, X Ray Spectra
Scientific paper
The Lagrangian equations describing the quasi-hydrostatic collapse of a radiatively cooling atmosphere are solved. It is shown that the instantaneous radiation spectrum at any time is given by an explicit integral over the initial configuration, and that the observed luminosity (L) and spectral temperature (T) can both correlate or anticorrelate - and the soft and hard parts of the spectrum vary together or lag - depending on the precise initial conditions. These results are applied to the case of coronae around accreting white dwarfs. A correlation L proportional to T squared is observed in the X-ray emission from SS Cygni. Since there is no particular reason to suppose that the required initial conditions are fulfilled here, an alternative explanation is suggested, based on the fact that the integration time of the X-ray observations is comparable to the coronal cooling time.
King Andrew R.
Smith Masson D.
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