Post-Newtonian limitations on measurement of the PPN parameters caused by motion of gravitating bodies

Abstract

We derive explicit Lorentz-invariant solution of the Einstein and null geodesic equations for data processing of the time delay and ranging experiments in gravitational field of moving gravitating bodies of the solar system - the Sun and major planets. We discuss general-relativistic interpretation of these experiments and the limitations imposed by motion of the massive bodies on measurement of the parameters gamma_{PPN}, beta_{PPN} and delta_{PPN} of the parameterized post-Newtonian formalism.

17 pages, 1 figure; accepted for publication to MNRAS

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• General relativistic laser interferometric observables of the GRACE-Follow-On mission
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• Comparison of light-time formulations in the post-Newtonian framework for the BepiColombo MORE experiment
• Gravity lens critical test for gravity constants and dark sector
• Spherical harmonics representation of the gravitational phase shift
• The Science of Fundamental Catalogs
• Kerr-Schild Form of the Exact Metric for a Constantly Moving Kerr Black Hole and Null Gravitational Deflection
• Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens