We present LSP-Orbital, a learning-based orbit propagation corrector that augments classical Keplerian mechanics with a perturbation correction layer derived from Lo-Shu geometric symmetry and E8 algebraic structure. The core observation is that the six classical orbital elements (a, e, i, Omega, omega, M) admit a natural 8-dimensional projection onto the Lo-Shu coordinate system, in which seven of eight coordinates correspond to conserved quantities and exactly one — the mean anomaly M — evolves dynamically. Theorem LSP-O establishes that the tangential orbital residual is linearly predictable from the Lo-Shu row-imbalance vector, with R²=0.867 (LEO), 0.780 (MEO), 0.906 (GEO). On real TLE data from 60 satellites, LSP-Orbital reduces mean position error by 27–53% over pure Keplerian propagation in the 30–120 minute prediction window.
Yao-Kai Kao (Fri,) studied this question.