Solar cycle variation of ${\nu }_{\max }$ in helioseismic data and its implications for asteroseismology

Abstract

The frequency, ${\nu }_{\max }$, at which the envelope of pulsation power peaks for solar-like oscillators is an important quantity in asteroseismology. We measure ${\nu }_{\max }$ for the Sun using 25 years of Sun-as-a-Star Doppler velocity observations with the Birmingham Solar-Oscillations Network (BiSON), by fitting a simple model to binned power spectra of the data. We also apply the fit to Sun-as-a-Star Doppler velocity data from GONG and GOLF, and photometry data from VIRGO/SPM on the ESA/NASA SOHO spacecraft. We discover a weak but nevertheless significant positive correlation of the solar ${\nu }_{\max }$ with solar activity. The uncovered shift between low and high activity, of $\simeq 25\mu \mathrm{Hz}$, translates to an uncertainty of 0.8 per cent in radius and 2.4 per cent in mass, based on direct use of asteroseismic scaling relations calibrated to the Sun. The mean ${\nu }_{\max }$ in the different datasets is also clearly offset in frequency. Our results flag the need for caution when using ${\nu }_{\max }$ in asteroseismology.

arXiv comment6 pages, 4 figures, published in MNRAS Letters, 2020, vol 493, pages L49 - 53 Corrected error in metadata list of authors

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