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

TL;DR

This paper derives Lorentz-invariant solutions for gravitational experiments involving moving bodies, highlighting how their motion limits the precision in measuring PPN parameters like gamma, beta, and delta.

Contribution

It provides explicit solutions for data analysis in gravitational experiments with moving bodies, clarifying the impact of motion on PPN parameter measurement accuracy.

Findings

Motion of gravitating bodies imposes fundamental limits on PPN parameter measurements.

Explicit Lorentz-invariant solutions for time delay and ranging data.

Discussion of the relativistic interpretation of gravitational experiments.

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.