Abstract
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 rate \(d\omega {\text{/}}dt = 7.2^\circ \) 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 B7V–B7.5V spectral type with masses \( \approx {\kern 1pt} (3.4 \pm 0.3){\kern 1pt} {{M}_{ \odot }}\) and age \(180 \pm 30\) million years.
