The exoplanetary magnetosphere extension in Sun-like stars based on the solar wind - solar UV relation

Raffaele Reda, Luca Giovannelli, Tommaso Alberti, Francesco Berrilli, Luca Bertello, Dario Del Moro, Maria Pia Di Mauro, Piermarco Giobbi, Valentina Penza

Published 2022-03-03Version 1

Earth's magnetosphere extension is controlled by solar activity level via solar wind properties. Understanding such a relation in the Solar System is useful to predict the condition of exoplanetary magnetosphere near Sun-like stars. We use measurements of a chromospheric proxy, the Ca II K index, and solar wind OMNI parameters to connect the solar activity variations on the decennial time scales to solar wind properties. The dataset span over the time interval 1965-2021, which almost entirely covers the last 5 solar cycles. Using both cross-correlation and mutual information analysis, a 3.2-year lag of the solar wind speed with respect to the Ca II K index is found. Analogously, a 3.6-year lag is found with respect to the dynamic pressure. A correlation between the solar wind dynamic pressure and the solar UV emission is therefore found and used to derive the Earth's magnetopause standoff distance. Moreover, the advantage of using a chromospheric proxy, such as the Ca II K index, opens the possibility to extend the relation found for the Sun to Sun-like stars, by linking stellar variability to stellar wind properties. The model is applied to a sample of Sun-like stars as a case study, where we assume the presence of an Earth-like exoplanet at 1 AU. Finally, we compare our results with previous estimates of the magnetosphere extension for the same set of sun-like stars.