Geodetic Precession of the Lunar Orbit from Lunar Laser Ranging as a Weak-Field Frame Test
Year: 2026
Type: article
Abstract: This paper computes the geodetic precession of the lunar orbit for the lunar orbit considered as a gyroscope moving through the Sun's curved spacetime within a torsion-regulated gravitational frame — Einstein-Cartan gravity with the density bound that follows from its spin-torsion term — and compares the result with the best published measurement. The relativistic prediction is 19.19 milliarcsec per year; the published value is 19.13 plus or minus 0.07 milliarcsec per year, a residual of -0.05908 milliarcsec per year (-0.844 standard deviations). Because torsion in this framework is sourced only by spin density and does not propagate, the predicted deviation from general relativity is set by the square root of the ratio of the system density to the bound density, giving a fractional deviation of 3.806e-28 and a correction of 7.304e-27 milliarcsec per year. The measurement bounds any fractional deviation at 0.01037 (two standard deviations), so the framework passes this test with a headroom factor of 2.726e+25. Stated plainly, the test is consistent with the framework but cannot distinguish it from general relativity; the implied lower bound on the density scale, 1.308e+07 kilograms per cubic metre, lies far below the framework's bound of 9.718e+57 kilograms per cubic metre. The study is computed from stated assumptions and published data; it is simulated, not measured.
Author: Aldred, William Alexander
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225810261
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