Global Positioning System Performance Optimization Using a Normalized Function on Configuration Classes

2017 
A mission of the U.S. Air Force Space Command is the positioning of Global Positioning System satellites to improve the accuracy of receiver navigation solutions. To that end, a technique is developed that, given a configuration specifying the number of satellites in each orbital plane, combines a nonlinear program with a simulation to find the constellation that optimizes performance. This approach is greatly expedited by a reduced set of configuration classes, which will result in significantly increased efficiency in computer runtime and constellation management. Additionally, a metric is proposed for constellation performance that normalizes receiver dilution of precision accuracy values and weights trouble spots. A tool implementing the technique and the metric is constructed and applied to three configurations. The first includes the nominal 24-satellite operational constellation, and the other two are for 27 and 31 satellites. For the 24-satellite configuration, satellite positions similar to the n...
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