N.Yu. Vorob-ev - Head of Department , FRPC «RNIIRS»
D.D. Gabrielyan - Dr.Sc. (Eng.), Professor, Deputy Head of Science of Scientific and Technical Complex, FRPC «RNIIRS»
V.I. Demchenko - Head of Scientific and Technical Complex, FRPC «RNIIRS»
E.A. Kovalenko - Ph.D. (Eng.), Senior Researcher, FRPC «RNIIRS»
A.A. Kosogor - Ph.D. (Eng.), Acazdemician of the Russian Engineering Academy, Director, FRPC «RNIIRS»
D.Ya. Razdorkin - Leader of Sector, FRPC «RNIIRS»
A.A. Saranov - Deputy Head Department, FRPC «RNIIRS»
O.Z. Sultanov - Ph.D. (Eng.), Researcher, FRPC «RNIIRS»

The mathematical model of ship antenna installation with three-axis the pedestal with an axis of «a mirror angle of slope», connecting kinematic parameters of pedestalaxes with angular speed of movement of the satellite and parameters of the ship pitching and rolling is developed in this article. The algorithm of ship antenna installationcontrol is considered.This algorithmassumes: 1. The permanent engaging of azimuth axis and elevation axis. 2. Engagingand subsequent continuous functioning to termination of a communication sessionaxis of «a mirror angle of slope»after the first exceeding of azimuthal angular speed of movement satellite of extremely possible value of azimuthal axisangular speed. 3. Correction of elevation axisposition due to backlog of azimuthalaxis from demanded position on the basis of a parity. On the basis of numerical modelling kinematic parameters of an axis of «a mirror angle of slope» are defined at various values of limiting angular speed of an azimuthal axis:  the working sector of an axis of «a mirror angle of slope» makes:  ±19.6° for the case of extremely possible of azimuthal axisangular speed equaled 15°/s;  ±41.5° for the case of extremely possible of azimuthal axis angular speedequaled 11°/s;  ±35° for the case of extremely possible of azimuthal axis angular speedequaled 7°/s;  the maximum angular speed of an axis of «a mirror angle of slope» makes:  0.68°/s for the case of extremely possible of azimuthal axis angular speed equaled 15°/s;  1.3°/s for the case of extremely possible of azimuthal axis angular speed equaled 11°/s;  2°/s for the case of extremely possible of azimuthal axis angular speed equaled 7°/s;  the maximum angular acceleration of an axis of «a mirror angle of slope» makes:  1.4°/s2 for the case of extremely possible of azimuthal axis angular speed equaled 15°/s;  1.4°/s2 for the case of extremely possible of azimuthal axis angular speed equaled 11°/s;  20.6°/s2 for the case of extremely possible of azimuthal axis angular speed equaled 7°/s. Results of the executed researches are used toproduce pre-production model with 3.5 mdiameter reflector. The constructive restrictions are considerated in production of ship antenna installation. In particular if the possible angular speed of an azimuthal axisequales 15°/c the possible value of angle of slope of a reflector equales ±20°. It ensure the fulfilmentand of stable support tracking of satellite on any types of orbits.