KIC 10080943: a binary star with two γ Doradus/δ Scuti hybrid pulsators. Analysis of the g modes

Abstract

We use four years of Kepler photometry to study the non-eclipsing\nspectroscopic binary KIC 10080943. We find both components to be $\\gamma$\nDoradus/$\\delta$ Scuti hybrids, which pulsate in both p and g modes. We present\nan analysis of the g modes, which is complicated by the fact that the two sets\nof $\\ell=1$ modes partially overlap in the frequency spectrum. Nevertheless, it\nis possible to disentangle them by identifying rotationally split doublets from\none component and triplets from the other. The identification is helped by the\npresence of additive combination frequencies in the spectrum that involve the\ndoublets but not the triplets. The rotational splittings of the multiplets\nimply core rotation periods of about 11 d and 7 d in the two stars. One of the\nstars also shows evidence of $\\ell=2$ modes.\n