... Accurate identification of physical binary star systems has become of increasing interest in recent years. ... Identification of physical binary star systems, with an estimated reliability of such identifications based on the theory of probability, is also important for current and future efforts to find binary star systems that are candidates for observations with the aim of determining their orbits and component masses. ... probability of the proximity of proper motions and ; . ...

... Proximity e#ects of com­ ponents (reflection of radiation and surface gravity darkening) are taken into account. ... As an example, we consider the Algol (# Persei) system, where an eclipsing pair (Algol A­B) is accompanied by the third component (Algol C). ... The surface temperature distribution for Algol A­B system before (upper plot) and after (lower plot) correction for temperature due to the irradiation e#ect. ... We solve this equation by the iterative Newton­Raphson method. ...