А method of geometric calculation of a new type of planetary rotary hydraulic machines (PRGM) with satellite stands is
developed. The method includes the steps of: 1) calculation of the initial round-link mechanism; 2) calculation of non-round
links of the PRGM with outstretches; 3) construction and integration of three-dimensional design system COMPAS-3D
fragments of crenellated crowns corresponding to the phases of abutments and lifting-lowering satellites; 4) correction of
the toothed contours to eliminate the phenomenon of mismatch of satellite centers with the points of intersection of the
trajectories of these centers in their movement relative to the rotor and stator. PRGM with satellite stands are designed to
operate as vacuum pumps, compressors and pneumatic motors.