Quantitative Validation of Substratum Hydrodynamics through Orbital Anomalies and Frame-Dragging Effects

This paper provides an empirical verification of the Substratum Hydrodynamics theory (Papers I-VI) through the analysis of four fundamental astrophysical anomalies: the Flyby anomaly, the Pioneer anomaly, gravitational Frame-Dragging (Gravity Probe B), and planetary precession. We demonstrate that these phenomena, often treated as isolated puzzles in standard physics, are manifestations of a unified mechanism—the material density and flow of the physical vacuum (Substratum). By comparing theoretical calculations with observational data, we reveal an average statistical error of σ ≈ 2.7%, confirming the robustness of the hydrodynamic model. The study concludes that the vacuum possesses a measurable density (~ 10^-4 kg/m^3 near Earth) and that orbital dynamics are governed by fluid mechanics rather than geometric curvature.