POSITIONS OF RELATIVE BALANCE OF STATION-SAILING VESSEL IN LIBRATION'S TRIANGULAR POINTS OF THE PHOTOGRAVITATIONAL RESTRICTED TO THE PROBLEM 1 OF THREE BODIES

The three-parameter family of positions of relative balance of a body (station-sailing vessel) in the field of double-wye is investigated. As the dynamic model the photogravitational restricted circular problem of three bodies is used in which unlike a classical problem both main gravitating bodies are considered to be radiating. Regarding the mutual influences of centroidal motion and motion round the center of mass of station are small, the positions of relative balance of the station case in the suggestion that its center of masses is located in one of stable libration’s triangular points are defined.