On the first radio show, the quest was James Battat of Harvard University discuss the APOLLO project, which measures the distance from the Earth to the Moon with millimeter (!) accuracy to test General Relativity. On astro-ph/ (a great resource by the way) they have posted several papers:
APOLLO: the Apache Point Observatory Lunar Laser-ranging Operation: Instrument Description and First Detections http://xxx.lanl.gov/abs/0710.0890
The First Lunar Ranging Constraints on Gravity Sector SME Parameters http://xxx.lanl.gov/abs/0710.0701
Testing for Lorentz Violation: Constraints on Standard-Model Extension Parameters via Lunar Laser Ranging http://xxx.lanl.gov/abs/0710.0702
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