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A stationary axisymmetric analytical MHD model of the heliospheric plasma and current sheets (HPS and HCS, correspondingly) is presented. HPS-HCS system is considered as thin differentially rotating plasma disk. The general aims of the model are to obtain field and current distributions in the HPS, to evaluate integral current in HCS. Additionally it was found some specific features of plasma structure: separatrixes as boundaries of the HPS, separatrix current sheets (SCS), the turning point where twisting inward spiral of magnetic field lines replaced by untwisting, there is no corotation of HPS-HCS with the Sun. Separatrixes divide the open and closed magnetic lines. Solutions in the open line region tend to Parker-like solutions for solar wind, so the separatrixes are considered as boundary of the HPS and they determine HPS’s thickness. Thickness of HPS is estimated as 5 solar radii at the Earth’s orbit and slightly depends on heliodistance. Thickness of HCS is zero in our model because we determine HCS’s current as magnetic field jump on neutral plane. It is the same situation with SCS where the density of both magnetic lines and current increase near separatrix. New observational data for separatrixes in real HPS are presented. The model is in qualitatively accordance with the observations. Effect of the turning point is due to changing of sign of the azimutal magnetic field which is determined by boundary conditions in the solar atmosphere, where the difference of angular velocities of the photosphere and corona change sign. It leads to redistribution of electric potential and consequently of currents in corona, which form a closed circuit with HPS and HCS. The rotation of the HCS-HPS system is determined by solar boundary conditions. Electric field in the HCS-HPS is too weak to support any significant corotation. Angular speed of the plasma disk near Earth’s orbit is less than 10-2 angular speed of solar equator. The model can be developed for describing dynamic effects of complex plasma structures.