Phase Curves of Small Bodies from the SLOAN Moving Objects Catalog
A. Alvarez-Candal, P. G. Benavidez, A. Campo Bagatin, T. Santana-Ros

TL;DR
This paper introduces a novel automated method combining Monte Carlo simulations and Bayesian inference to accurately derive phase curves and absolute magnitudes of small bodies from sparse, multi-filter photometric data, accounting for rotational variations.
Contribution
It presents the first method to incorporate rotational variations explicitly in phase curve analysis, improving accuracy in large-scale small body surveys.
Findings
Produced nearly 15,000 phase curves from SLOAN data.
Method yields absolute magnitudes and colors consistent with previous studies.
Includes uncertainties and rotational effects, enhancing data reliability.
Abstract
Extensive photometric surveys are and will continue producing massive amounts of data on small bodies. Usually, these data will be sparsely obtained at arbitrary (and unknown)rotational phases. Therefore, new methods to process such data need to be developed to make the most of those large catalogs. We aim to produce a method to create phase curves of small bodies considering the uncertainties introduced by the nominal errors in the magnitudes and the effect introduced by rotational variations. We use the SLOAN Moving Objects Catalog data as a benchmark to construct phase curves of all small bodies in there, in u', g', r', i', and z' filters. We will obtain from the phase curves the absolute magnitudes and set up with them the absolute colors, which are the colors of the asteroids not affected by changes in phase angle. We select objects with observations taken in at least one…
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