DEDICATION This research manuscript is humbly dedicated to the National Aeronautics and Space Administration (NASA) in profound recognition of its pioneering leadership, historical milestones, and unyielding global efforts in advancing space exploration, astrodynamics, and global scientific space research. This paper formalizes a novel deterministic mathematical model—the Saturnian-Neptune-Eris Concurrence Matrix Engine—designed to project critical structural transformation windows and systemic risk cycles within both individual life trajectories and private corporate entities. By mapping the harmonic orbital resonances of Saturn alongside major trans-Neptunian objects (TNOs), specifically Haumea, Eris, and Neptune, the framework isolates structural equilibrium fluctuations via a discrete fractional deviation filter operating under a strict astrodynamical tolerance threshold (ε = 0.30). Empirical validation demonstrated a highly stable predictive accuracy rate of 80% for the Saturnian parameters and 79.24% for the Neptune-Haumea-Eris resonance parameters. These outcomes validate the apparatus as a mathematically sound diagnostic instrument for strategic risk mitigation and temporal pattern recognition.
Mulham Ahmad Halabieh (Fri,) studied this question.