This topical issue of Astronomische Nachrichten/Astronomical Notes contains a cross section of the articles that were presented at the 16th Potsdam Thinkshop, which was organized by the Leibniz Institute for Astrophysics Potsdam (AIP) and held on its campus in Babelsberg in September 2019. The title of the Thinkshop was “The rotation periods of cool stars: Measurements, uses, connections and prospects.” The motivations for organizing this Thinkshop were manifold. Rotation periods are rapidly becoming available for large numbers of cool stars, both from ground-based efforts and from space missions such as Kepler, Gaia, TESS, and—before long—PLATO. These rotation periods offer independent and complementary information about stars in comparison to prior techniques. For instance, they are often used to derive ages for cool stars via a procedure known as gyrochronology. Rotation also helps to interpret and illuminate various magnetic and activity behaviors of stars, and rotation in turn is likely itself affected by various internal and external factors. Related topics include open clusters, membership verification, metallicity dependence, binary stars, effects of close companions, and various others, which might be relevant to the aims of well-reasoned measurement, usage, and interpretation of rotation periods and to the future prospects of gyrochronology. The workshop enabled researchers to present their results in a more intimate setting than often possible, and significant time was reserved for discussions and interaction. The Scientific Organizing Committee consisted of Sydney Barnes (AIP, chair), Constantine Deliyannis (Indiana University, United States), Elisa Distefano (INAF, Catania, Italy), Jose D. do Nascimento (DFTE-UFRN, Brazil & CfA-SAO, United States), Thomas Granzer (AIP), Silva Järvinen (AIP), Elisabeth Newton (Dartmouth College, United States), Steven Saar (CfA, United States), and Klaus Strassmeier (AIP). A total of 54 participants from a number of different continents attended the Thinkshop. Further information is available on the Internet at: https://thinkshop.aip.de/16/cms/. All of the relevant topics listed above were mentioned in some form or the other during the Thinkshop, and many were discussed extensively. We are pleased to include a selection of the presented articles in this Special Issue. All contributions to this issue were reviewed by expert referees. We would like to express our gratitude to the Leibniz Institute for Astrophysics Potsdam for hosting this conference and to the AIP administrative staff for their competent administrative support.
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