The Jayagnana Infinity (J∞) Framework: A Unified Matrix-Theoretic Approach to Orbital Dynamics, Stability, and Symmetry
This paper presents the Jayagnana Infinity (J∞) framework, which unifies Newtonian orbital dynamics into a single state-space matrix equation and provides a closed-form derivation of the Laplace-Runge-Lenz vector's invariance and evolution, validating the model's numerical stability and accuracy across diverse celestial systems from Earth to exoplanets and neutron stars.