The Reynolds equation was modified in response the problem that the continuity equation used in the derivation of the conventional master Reynolds equation was not applicable at the throttle bore of a hydrostatic gas bearing.Based on the angle-preserving transformation method,Newton’s iteration method,finite difference method and relaxation iteration method,the modified Reynolds equation was calculated for the region of the bearing gas film flow field,and the distribution of gas film pressure along the circumferential direction at the apex angle of the orifice distribution cone was obtained under different air supply pressures.The influence of air supply pressure and radial eccentricity on the radial load capacity and axial load capacity of aerostatic air spherical bearings was analyzed.The results show that the radial bearing capacity and axial bearing capacity of aerostatic spherical air bearings are affected by the coupling of static pressure effect and dynamic pressure effect.The greater the air supply pressure,the greater the radial bearing capacity and axial bearing capacity,and the greater the air consumption.The greater the radial eccentricity,the greater the radial bearing capacity and axial bearing capacity,and the radial eccentricity has little effect on the gas consumption.The larger the diameter of the orifice,the greater the radial bearing capacity,axial bearing capacity and air consumption.