R Fares

We present a magnetic activity study of GJ 436 using spectroscopic data from HARPS, spanning over 14 yr, and additional data from NARVAL, falling within the HARPS observations. We study the Ca ii H&K, He i D3, Na i doublet, H α, and Ca ii IRT triplets lines and explore linear correlations between them. Using the full HARPS data set, we found indices H α versus Ca ii H&K & H α versus He i to correlate positively. From the NARVAL data set, covering one observing epoch, we found Ca ii IRT3 versus Ca ii IRT2 & Ca ii IRT3 versus H α index to correlate negatively. We investigate long and short-term periodicity in these index variations, using the Generalized Lomb–Scargle periodogram. For Ca ii H&K, Na i and H α indices, we detect long-term periods of 2470.7 d (∼ 6.8 yr), 1861.6 d (∼ 5.1 yr), and 2160.9 d (∼ 5.9 yr) respectively, consistent with GJ 436’s photometric cycle of ∼ 7.4 yr. Applying the ‘Pooled Variance’ technique to H α & Na i indices, we found ∼ 2500 d to be the period of an activity cycle mechanism, in good agreement with the detected 2470.7 d period. For Ca ii H&K and H α indices, we detect short-term periods of $39.47^{+0.11}_{-0.15}$ d and $40.46^{+0.44}_{-0.52}$ d, respectively, identified as the stellar rotation period. The stellar rotation is detected after pre-whitening the long-term periodicity. It is detected as well in the analysis of individual observing epochs.