Аннотация:The article describes various ways of applying the Roche model to close binary systems. A reviewof the verification of the evolutionary status of stars in massive CBSs is given. Estimation of the distributionof the angular rotation velocity of a star by analyzing the observed rotation of the line of apsides, determination of the ages of the component stars of detached CBSs, and determination of the coefficients of gravitational darkening in semi- detached CBSs are described. As an example, we consider the determination of theabsolute characteristics of the detached eclipsing binary system WW Aur that contain Am stars. The analysisis presented for the light curves of contact eclipsing binaries of the W UMa type, the chromospherically activebinary SV Cam (RSCVn type), the massive galactic eclipsing binary CPD-41Æ7742 with the observed stellarwind collision effect, and the non-eclipsing massive close binary HD93205 (O3V+O8V) with an ellipticalorbit. The possibilities of analyzing the brightness distributions of the components of eclipsing systems fromthe data of high-precision satellite photometry are discussed. The eclipsing light curves of cataclysmic binarysystems are studied within the accretion disk model with a “hot line.” The parameters of donor stars in cataclysmic binary systems, X-ray Nova Muscae 1991 (GRS 1124-68), X-ray binary SS 433, which is in the supercritical accretion regime, are described. The dependence of the shape of the absorption line profile and theradial velocity curve of an optical star of an X-ray binary system on the orbital inclination and the mass ratioof the components is discussed. An estimate of the orbital inclination and mass of the black hole from theradial velocity curve in the Cyg X-1 X-ray binary, as well as an estimate of the mass of X-ray pulsars in binarysystems with OB supergiants, are presented.