This paper presents an alternative hydrodynamic framework for modeling the dynamics of the solar system and astrodynamical anomalies using the unified Vortex-Sink (Z4DP) equation. In the proposed approach, space is modeled as a compressible superfluid vacuum, where central sinks and their rotation naturally form macroscopic vortices (e. g. , the ecliptic plane). The predictive capability of the model is empirically tested on two independent phenomena. First, it demonstrates a >99% match with the observed secular perihelion precession of the inner planets purely by applying a nonlinear continuum compression gradient (3 (v/c) ²). Second, it provides an exact analytical solution for unexplained flyby anomalies. By applying transverse momentum transfer via the entrainment parameter K and an exponential vacuum compression profile (n=5. 63) derived independently from GNSS satellites, the model predicts the anomalous acceleration of the NEAR Shoemaker spacecraft with absolute precision (+13. 44 mm/s predicted vs. +13. 46 mm/s measured by NASA). The paper further analyzes long-term orbital stabilization and the cosmological implications of the 60° ecliptic tilt relative to the galactic continuum flow.
Pavel Konecny (Mon,) studied this question.