Probability of Locating a Submarine within a Stated Distance on the Basis of Two Directional Sensors

摘要

The general problem is to estimate the surface position under which a submarine is located. The information for this estimation is provided by two directional sensors whose locations are known. The observed directions, in combination with the sensor locations, are combined to yield the estimated position. The specific problem is to approximately determine the probability that the true submarine position is within a stated distance (on the ocean surface) of the estimated position. This article identifies the parameters involved and, in terms of these parameters, develops an approximate expression for the probability value. (Author)