Rotation of the apsidal line in the eclipsing system V1059 Cep

Three light curves of the V1059 Cep eclipsing binary obtained in 2012, 2013 and 2021 were analyzed. We found the rapid apsidal motion in this system at the ratedw/dt= 7.2°per year. Assuming the equality of observed and theoretical apsidal motion rates we estimated physical characteristics of the components based on the data on their temperatures from the literature. According to our calculations the components are two very similar stars of the B7 V–B7.5 V spectral type with masses≈(3.4 ± 0.3)M⊙and age 180 ± 30 million years.