Abstract
We present a test of general relativity, the measurement of the Earth’s dragging of inertial frames. Our result is obtained using about 3.5 years of laser-ranged observations of the LARES, LAGEOS, and LAGEOS 2 laser-ranged satellites together with the Earth gravity field model GGM05S produced by the space geodesy mission GRACE. We measure mu = (0.994 pm 0.002) pm 0.05, where mu is the Earth’s dragging of inertial frames normalized to its general relativity value, 0.002 is the 1-sigma formal error and 0.05 is our preliminary estimate of systematic error mainly due to the uncertainties in the Earth gravity model GGM05S. Our result is in agreement with the prediction of general relativity.
Highlights
About 100 years ago Albert Einstein completed the publication of a series of fundamental papers describing the gravitational theory known as general relativity (GR) [1,2,3,4,5,6,7]
GR has not been reconciled with the other fundamental theory of modern physics: quantum mechanics
The cosmological constant corresponds to vacuum energy and quantum field theory predicts that the vacuum energy should have a value approximately 10122 times larger than the dark energy [20,21] density that is observed in the universe
Summary
About 100 years ago Albert Einstein completed the publication of a series of fundamental papers describing the gravitational theory known as general relativity (GR) [1,2,3,4,5,6,7]. Previous error analyses [32,47,48,49,50,51,52,53,54,55,56,57,58] have confirmed that the systematic error due to tides, non-gravitational perturbations and other error sources is at the level of approximately 3 % and the total root sum squared (RSS) systematic error, including the systematic error due to the Earth’s even zonals, is approximately at the level of 5 % if the LARES, LAGEOS, and LAGEOS 2 observations are used together with the Earth gravity field model GGM05S. The strength of this approach and these satellites is that they are available for innovative improvements in technique into the future
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