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We present a detailed analysis of surface inhomogeneities on the K1-typesub-giant component of the rapidly rotating eclipsing binary KIC 11560447,using high-precision Kepler light curves spanning nearly four years,corresponding to about 2800 orbital revolutions. We precisely determine thesystem parameters using high-resolution spectra from the 2.1-m Otto StruveTelescope at the McDonald Observatory. We apply the maximum entropy method toreconstruct the relative longitudinal spot occupancy. Our numerical tests showthat the procedure can recover large-scale random distributions of individuallyunresolved spots, and can track the phase migration of up to three major spotclusters. By determining the drift rates of various spotted regions in orbitallongitude, we suggest a way to constrain surface differential rotation and showthat the results are consistent with periodograms. The K1IV star exhibits twomildly preferred longitudes of emergence, indications of solar-likedifferential rotation, and a 0.5 to 1.3-year recurrence period in starspotemergence, accompanied by a secular increase in the axisymmetric component ofspot occupancy.

Recurrent starspot activity and differential rotation in KIC 11560447