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Milestone: NASA achieved GPS signals on Moon
(www.techexplorist.com)
This is a most excellent place for technology news and articles.
Better than ballistic dead reckoning, yes. I'm not sure whether it is better or worse than star trackers plus inertial navigation units at that time scale (INUs drift over time and need to be recalibrated every so often to fix that drift, but I really don't know how accurate star trackers are for position since I only use them for attitude measurement).