Аннотация:The article considers the Roche model as applied to close binary systems. The dimensionless potential of a system of two stars revolving around a common center of mass is presented. Modern methods for the synthesis of light curves and radial velocity curves of close binary systems (including X-ray systems) and their practical implementation are outlined, and solutions to model problems are presented. The synthesis of line profiles of optical stars in X-ray binaries is considered.