A hypothetical satellite clock experiment reports the local-position-invariance…
PHYSICS · Multi-part · Fermi University Physics · Relativity & Gravitation · The equivalence principle and gravity as geometry · The equivalence principle and gravity as geometry
The Geometry of Gravity, Ch The equivalence principle under test
Problem
A hypothetical satellite clock experiment reports the local-position-invariance parameter as αLPI=[0.4±1.8(stat)±1.2(syst)]×10−5.
((a)) Combine the two uncertainties in quadrature, state the result as a central value with a single uncertainty, and say whether it is consistent with zero.
((b)) Separately, take ηN=3×10−4. Using the lunar-orbit polarisation amplitude 13.1ηN m, and a lunar ranging precision of 1 mm, state whether the resulting signal exceeds the ranging precision, and by roughly what factor.