A set of new formula to calculate spherical swashplate axial piston pump kinematics parameters

such as: displacement

velocity and acceleration

was deduced from coordinates method.The analysis method and deduction procedure ensure the preciseness of the formula in theory.Applying above new formula and current calculation method to the same aero-engine fuel piston pump

the results show that owing to the use of linearization

the currently calculated displacement and velocity errors are less than 0.4 percent

but the maximum acceleration error reaches 3.34 percent.Compared with current calculation method

the new formula is precise and simple

providing a theoretical basis for calculation of kinematics parameters of this type of piston pump.