Fourier Decomposition of Hipparcos Lightcurves of Classical Cepheids

Mathematics

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Scientific paper

Quantifying the shapes of Cepheid light curves is a technique that has been in use for the past several decades. Work to date has been primarily done for a few stars observed at a single site or by compiling the data for many stars from various sites. The availability of Hipparcos photometry presents the opportunity to utilize a homogenous data set to calculate the Fourier parameters. We have decomposed the light curves of 135 classical Cepheids observed by Hipparcos. We used the Hipparcos period and first categorized the light curves into four groups based on the completeness of phase coverage. We had 28 stars with very good phase coverage, 23 with good, 44 with fair, and 40 with poor. We then calculated the Fourier parameters using from two to seven harmonics depending on the asymmetry of the light curve. For those Cepheids with adequate phase coverage we present the results in terms of amplitude ratios and phase differences.. This work has been supported in part by NSF grants #AST86-16362, #AST91-15114, #AST95-28906, and #AST-0071260 to the College of Charleston. We also acknowledges the support of the summer research program of the South Carolina Governor's School for Science and Mathematics.

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