Studies on the Position Fix Error for Satellite Navigation Systems
1974 Volume 1974 Issue 10 Pages 1-58
Details
1974 Volume 1974 Issue 10 Pages 1-58
The position fix error is analysed for satellite navigation systems and presented here in the following four chapters.
Chapter 1. Expression of position fix errors.
Chapter 2. Calculation procedures of position fix errors for various satellite navigation systems.
Chapter 3. Considerations on results of the analysis.
Chapter 4. Tracking errors of satellite and their influence on position fix of the user.
In chapter 1, two representations are employed to show two-dimensional distribution of errors: the probability ellipse for describing its character and the error circle for the size. Similarly, for three-dimensional case, the probability ellipsoid and the error sphere are used. Tables, charts and approximate equations are given for the determination of above-mentioned quantities.
In chapter 2, position fix errors are calculated by the vector analysis method and procedures are explained for typical four systems: range-range system, difference-difference system, sum-sum system and range-difference system.
In chapter 3, results of the analyses are shown in error contours on geographic maps. Considerations are made on the various factors which give influence on the position fix errors, such as the coverage area, the line of position, the error sensitivity, the satellite separation, the estimation of practical errors, the probability ellipse and the errors on air route.
In chapter 4, satellite tracking errors are discussed by assuming that tracking is made by range measurements from three ground stations. The probability ellipsoid and the error sphere are calculated as three-dimensional tracking errors. Influence of the tracking errors on position fix are also discussed and calculated. Finally, total position fix errors containing satellite tracking errors are calculated and its contour lines on a map are indicated.
The work described here originate in the work which author carried out in Institute of Science and Technology, University of Michigan, U.S.A., from November 1965 to July 1966.
Author wishes to express his sincere gratitude to Mr. Graham W. Casserly of the institute who suggested this work and gave much helpful advice.
