We present a detailed study of the two Sun-like stars KIC 7985370 and KIC 7765135, aimed at determining their activity level, spot distribution, and differential rotation. Both stars were discovered by us to be young stars and were observed by the NA
SA Kepler mission. The stellar parameters (vsini, spectral type, Teff, log g, and [Fe/H]) were derived from optical spectroscopy which allowed us also to study the chromospheric activity from the emission in the core of Halpha and CaII IRT lines. The high-precision Kepler photometric data spanning over 229 days were then fitted with a robust spot model. Model selection and parameter estimation are performed in a Bayesian manner, using a Markov chain Monte Carlo method. Both stars came out to be Sun-like with an age of about 100-200 Myr, based on their lithium content and kinematics. Their youth is confirmed by the high level of chromospheric activity, comparable to that displayed by the early G-type stars in the Pleiades cluster. The flux ratio of the CaII-IRT lines suggests that the cores of these lines are mainly formed in optically-thick regions analogous to solar plages. The model of the light curves requires at least seven enduring spots for KIC 7985370 and nine spots for KIC 7765135 for a satisfactory fit. The assumption of longevity of the star spots, whose area is allowed to evolve in time, is at the heart of our approach. We found, for both stars, a rather high value of the equator-to-pole differential rotation (dOmega~0.18 rad/day) which is in contrast with the predictions of some mean-field models of differential rotation for fast-rotating stars. Our results are instead in agreement with previous works on solar-type stars and with other models which predict a higher latitudinal shear, increasing with equatorial angular velocity.
We present a spectroscopic/photometric analysis of the rapid rotator KIC8429280, discovered by ourselves as a very young star and observed by the Kepler mission. We use spectroscopic/photometric ground-based data to derive stellar parameters, and we
adopt a spectral subtraction technique to highlight the chromospheric emission in the cores of Halpha, CaII H&K and IRT lines. We fit a robust spot model to the high-precision Kepler photometry spanning 138 days. Model selection and parameter estimation is performed in a Bayesian manner using a Markov chain Monte Carlo method. We find that KIC8429280 is a cool (K2V) star with an age of ~50 Myr, based on its Li content, that has passed its T Tau phase and is spinning up approaching the ZAMS. Its high level of chromospheric activity is indicated by the radiative losses in CaII H&K and IRT, Halpha, and Hbeta lines. Furthermore, its Balmer decrement and the flux ratio of CaII IRT lines imply that these lines are mainly formed in optically-thick sources analogue to solar plages. The analysis of the Kepler data uncovers evidence of at least 7 enduring spots. Since the stars inclination is rather high, ~70{deg}, the assignment of the spots to the northern/southern hemisphere is not unambiguous. We find at least 3 solutions with nearly the same level of residuals. The distribution of the active regions is such that the spots are located around 3 latitude belts, i.e. the equator and +-(50{deg}-60{deg}), with the high-latitude spots rotating slower than the low-latitude ones. The equator-to-pole differential rotation ~0.27 rad/d is at variance with some recent mean-field models of differential rotation in rapidly rotating MS stars, which predict a much smaller latitudinal shear. Our results are consistent with the scenario of a higher differential rotation, which changes along the magnetic cycle.
