The Evaluation of Error Standard Deviation in the Accuracy Evaluation of the Doppler Navigator

The standard error deviation for the Doppler navigator is theoretically derived for the general case of both random and systematic errors. It is demonstrated that both the along-course error deviation and across-course error deviation, when expressed on a per unit basis, consist of two terms. One term is independent of the distance traveled and the other is dependent upon the distance traveled. There is a possibility that results of statistical analysis of experimental data, as given in the literature, may be incomplete since the term in the error standard deviation, per unit distance traveled, which is independent of distance traveled is not included. It is demonstrated how this omission may come about by neglecting the mean errors in the subsets of the population of observations.