Self-consistent multi-parameter fitting of stellar flux spectra

Mathematics

Scientific paper

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Abundance, Energy Distribution, Fitting, Self Consistent Fields, Spectrum Analysis, Stellar Composition, Stellar Luminosity, Stellar Rotation, Stellar Spectra, Stellar Temperature, Analysis (Mathematics), Computerized Simulation, Data Correlation, Stellar Models, Stellar Spectrophotometry

Scientific paper

An efficient method for simultaneous determinations of various parameters involved with stellar spectra is presented, which is preferably applicable to well-calibrated observational data in terms of the stellar energy-distribution. The basic concept of this approach is to minimize the deviation between the theoretically synthesized flux distribution, which is regarded as being an explicit function of parameters characterizing the spectra, and the corresponding observed one; all that must be done is to solve a set of non-linear equations numerically in terms of these parameters, which are naturally derived from the least-squares requirement. Since the need to define a continuum level is circumvented and the number of parameters to be determined is in principle limitless, this method may be especially powerful for investigating complex spectra where individual lines are severely merged with each other. In order to demonstrate the effectiveness of this approach, it was applied to various kinds of examples using artificial as well as actual stellar spectra, resulting in consistent and simultaneous determinations of such physical quantities as the turbulent/rotational/radial velocities or elemental abundances.

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