The effect of matrix elements of system geometry on the accuracy of the hyperbolic navigational systems position coordinates

The article presents formulas describing the values of average circular error, the average coordinate values and their covariance in the function of gradient matrix elements of hyperbolic position lines. The classical formulas do not take into account the correlation existing between the measurements of navigational parameters, and therefore also the correlation existing between position coordinates. This is also why they do not fully describe the accuracy of determined position coordinates. This is particularly significant in the case of strong correlation between coordinates and in cases when we are interested in directional error.