The Rotor-Bivector Orbit Atlas: A Geometric Algebra Framework for Classifying Orbits in Axisymmetric and Triaxial Galactic Potentials
This paper establishes a rigorous geometric algebra framework that utilizes bivectors and the Spin(3) group to resolve kinematic singularities, enabling the classification of orbits in galactic potentials through a topologically stable Rotor-Bivector Atlas and an efficient algebraic frequency extraction algorithm.