Computer Science – Numerical Analysis
Scientific paper
Nov 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phdt.........9s&link_type=abstract
Ph.D. Thesis Temple Univ., Philadelphia, PA.
Computer Science
Numerical Analysis
Absorptivity, Atmospheric Models, Emission Spectra, Numerical Analysis, Solar Atmosphere, Error Analysis, Integral Equations, Photosphere, Temperature Distribution, Thermodynamic Equilibrium
Scientific paper
One of the major difficulties in the analysis of limb darkening observations is in the determination of the source function. The source function, which is the ratio of the emission coefficient to the absorption coefficient, is, even in its simplest form, described by a Fredholm integral equation of the first kind. Attempts to solve or circumvent the equation are discussed and a method for approximating the solution of the integral equation was developed. The general method was applied to the specific problem of solar limb darkening. Numerical experiments were used to compare the technique to previous attempts and to analysis of errors, regions of application, and the influence of various parameters are discussed.
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