Spectroscopic Searches for Evolutionary Orbital Period Changes in WR+OB Binaries: The case of CQ Cep and CX Cep

Abstract: We present the results of spectroscopic observations of two eclipsing WR+OB-type systems - CQ Cep and CX Cep, performed in 2020-2023 with a low-resolution slit spectrograph TDS ($\lambda\lambda= 3660-7410$\AA, $R = 1300-2500$) on 2.5-m telescope of the SAI MSU Caucasian Mountain Observatory. For CQ Cep, the radial velocity curves of a WN6 star are constructed, the problem of visibility of spectroscopic traces of an OB star is discussed and the components' mass ratio $q\sim 0.6$ is estimated. For CX Cep, the radial velocity curves are constructed for both the WN5 and O5 components enabling their masses and circular orbit elements to be refined. The comparison of the radial velocity curves of these systems obtained in different epochs allowed us to derive the orbital period change rate $\dot{P}$ by the spectroscopic method, which is found to be in good agreement with estimates obtained by comparing the moments of primary eclipse minima: $\dot{P} = -0.0151\pm0.0013$ s yr$^{-1}$ for CQ Cep and $\dot{P} = 0.054\pm0.009$ s yr$^{-1}$ for CX Cep. The prospects of applicability of the spectroscopic dynamical method for studying the orbital evolution of Galactic WR+OB binaries and related objects are considered. We also discuss the effect of finite sizes of stars with stellar wind mass loss in close binary systems on their orbital evolution.