The Absolute Magnitude Distribution of F-Turnoff Stars

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Scientific paper

F-turnoff stars have been used to discover structure in the Milky Way spheroid, including the Sgr dwarf tidal stream, and are being used to trace the distribution of stars in the smooth component of the spheroid. Some studies have assumed a single average absolute magnitude for all spheroid stars with SDSS colors of 0.1 < (g-r) < 0.3 and others have assumed a Gaussian distribution of absolute magnitudes. This is particularly important as we use more sophisticated methods, including maximum likelihood methods to measure model parameters more precisely. The absolute magnitudes of spheroid stars from the Besançon Galactic model were studied to produce an absolute magnitude histogram reflecting the brightness distribution for F-turnoff stars in that model. Comparison of the histogram with the assumed distribution shows that, at least for the model stars, absolute magnitude is not sufficiently described by a simple Gaussian curve. Rather, the model shows a linear increase from 3.4 in absolute magnitude to the modal value, 5.7, and falls off quickly to 6.2. To test the accuracy of this result, data from the Sloan Digital Sky Survey were used to create histograms for ten globular clusters belonging to the spheroid. Qualitative comparisons show that the globular cluster absolute magnitude distributions resemble the currently assumed Gaussian distribution more closely than that obtained from the Besançon model. Furthermore, preliminary data suggest that the globular cluster histograms can be adequately described by a skewed Gaussian distribution peaking at 4.6 with corresponding left- and right-side standard deviations 0.6 and 1.0. This project was funded by the National Science Foundation under grant SEI(AST)- 0612213.

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