Determination of Circular and Spherical Position-Error Bounds in System Performance Analysis

摘要

This Note has defined a simple and accurate approach for determining families of circular and spherical error bounds that characterize random position errors. Sets of third-order polynomial functions were defined for the 50, 90, 95, and 99% circular and spherical position-error bounds. Although simple in structure, the polynomial functions yield accuracies very compatible with the needs of contemporary covariance-based system performance analyses. Furthermore, the numerical accuracy associated with the computation of SEP and CEP was shown to be better than that of the commonly used Grubbs formula.