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Search for Activity Variatons in Kepler Red Giants

Bagga, Anhad; Broomhall, Anne-Marie

Abstract

The frequencies of Solar acoustic oscillation modes vary in phase with the magnetic activity, shifting to lower frequencies during activity minima and to higher frequencies during activity maxima. On the other hand, the mode powers vary in anti-phase with the solar cycle. Similar analyses have been extended to other main-sequence stars exhibiting similar results. Thus, the frequency shifts and variations in mode power provide valuable diagnostics of magnetic cycles in stars. In this study, we aim to investigate frequency shifts in a sample of over 16,000 Kepler red giants using the cross-correlation function (CCF) method. The CCF method tracks global shifts in the frequency spectra over time by cross-correlating power spectra from different time segments. We also discuss strategies for improving the uncertainties and error estimation in measuring frequency shifts of red giant stars, as they tend to oscillate more slowly compared to main-sequence stars; hence, they are more prone to noise in their frequency spectrum. Using our method, we reproduced the literature results for main-sequence stars, including the Sun. Finally, we illustrate the measured frequency shifts for a few red giant stars that display significant variations.

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Search for Activity Variatons in Kepler Red Giants Anhad Bagga1, Anne-Marie Broomhall1 1University of Warwick [email protected] Background • Stellar activity affects p-mode oscillations. • Sun: Frequencies increase and mode amplitudes decrease with solar activity [1, 2]. • Main Sequence (MS) stars shown to have similar trends [3, 4]. • Higher shifts in frequencies predicted for red giants [5]. Goals References: [1] Woodard et al. (1985), [2] Jefferies et al. (1990), [3] Kiefer et al. (2017), [4] Santos et al. (2018), [5] Kiefer et al (2019), [6] Nielsen et al. (2020) Framework 1Segmentise light curve • Create smaller segments of the light curves. 2Power spectra • Generate Lomb-Scargle periodogram of the full light curve and each segment. 3Cross-correlation • Cross-correlate power spectrum of each segment with that of full light curve. 4Frequency shifts • The location of the peak in cross-correlation function (CCF) is the shift in frequencies. 1Search for activity-related variations in red giants: Magnetic variability 2Improve resolution for measuring variations in oscillation spectrum. Error estimation • Created multiple realisations using Monte Carlo sampling. • Further improved the frequency resolution by oversampling the Lomb-Scargle periodogram. Results • Reproduced published result on KIC 8006161 (Dorris) - amplitude of shift approximately 0.95 μHz [3]. • Improved the precision and accuracy in measuring frequency shifs. • Significant variability observed in some stars compared to uncertainties. Future work • Test the effects of oversampling on error bars. • Improve the fitting procedure when estimating peak in CCF. • Find shifts in individual modes using a peak-bagging method (in development) using PBjam [6]. Main Sequence star Red Giants Acknowledgements • Project originally supervised by Tim Bedding and Anwesh Mazumdar during AB’s Masters thesis.