Mathematical model of three-axis micromechanical accelerometer for directional system of control and orientation of boreholes

The work deals with the development of mathematical model of inclinometer on the base of three-axis accelerometer transducer unit for control and orientation system of objects, in matrix and scalar view. We have gained the formulas for inclination angle calculation and the calculation of the angle of deflector setting from sensing accelerometer devices signals taking into account the misalignment of inclinometer sensitive axis with sensitive axes of three-axis micromechanical accelerometer unit. Calculation in mathematical model of instrumental error permits to increase accuracy measuring inclination angle and angle of deflector setting by far.