About the frequency of planets orbiting fast rotating stars
Rotation;Exoplanets;Orbital Period;Dearth
The advent of space missions such as CoRoT, Kepler, and more recently, TESS, has brought a
wide range of scientific advancements, including the study of stellar rotation. This topic is of great
interest in astrophysics due to its crucial role in various processes, influencing everything from the stellar
interior to the dynamics of planetary systems. For stars with planets, the relationship between stellar
rotation periods (Prot) and planetary orbital periods (Porb) can provide valuable insights into the
formation and evolution of these systems, including our own Solar System.
With this objective in mind, McQuillan et al. (2013) analyzed 1.919 stars with planets observed by
the Kepler mission, obtaining Prot for 737 of them using the ACF method. By constructing Prot x Porb
diagrams, the author identified a scarcity of planets with orbital periods Porb < 2--3 days around stars
with rotation periods Prot < 5--10 days.
In this work, we aim to verify the existence of this scarcity by reproducing the procedures of
McQuillan et al. (2013) but using an expanded sample. In addition to the stars from the author's study, we
incorporated data from and Walkowicz & Basri (2013) , which provide Prot values based on stellar
variability analyses. Prot x Porb diagrams were generated as the samples were added, and Anderson-
Darling statistical tests were conducted to compare the Porb distributions between regions with different
Prot ranges.
Our results show that the region highlighted by the author is naturally filled as new samples are
added. The statistical tests support this observation, presenting Anderson-Darling statistics below critical values and p-values greater than the 0.05 significance level, suggesting no significant difference in Porb
between the analyzed regions. We conclude, therefore, that the apparent scarcity of planets close to fast-
rotating stars observed by McQuillan et al. (2013) seems to result from a sample limitation.