Algorithms for Determining Multiple Periodicities in Sparsely and Unevenly Sampled Data

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Scientific paper

Accurately determining asteroid periods from light curves is critical in a range of investigations, including shape determination, rotation rates, and the determination of mass in multiple systems. Fourier transforms of one form or another are commonly used for period determination. While these do work quite well in some instances, they can produce more ambiguous results in cases of low signal-to-noise data or low sampling rates. To this end we have been exploring alternative methods of period determination using well-proven statistical methods as well as alternative transformations that have been used for period determination in other fields. These methods of period determination are explored for both synthetic and less than ideal real data sets, comparing the results with the published values. These techniques can give us a wider range of tools to extract additional information from noisy or poorly sampled light curves.

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