Radial Waves and Spin-Axis Organization in Planetary Systems: A Phenomenological Framework for Obliquity Correlation and Orbital Spacing

This work presents a phenomenological framework for analyzing planetary obliquity and orbital spacing using Radial Waves structures generated by rotational symmetry and gravitational coupling in approximately spherical systems. We distinguish between (i) Independent Radial Waves associated with the intrinsic rotation of a central body and (ii) Interactive Radial Waves arising from two-body gravitational interaction. Within this framework, orbital distances and axial tilts are interpreted as position dependent responses within structured Radial Waves patterns shaped by rotation and dynamical coupling. The model predicts obliquity clustering, correlated axial tilts among bodies occupying comparable Radial Waves phases, and alternating obliquity extrema associated with sinusoidal radial structure. The formulation does not introduce new forces or modify conservation laws but provides a geometric interpretation of spin-axis organization in multi-body gravitational systems.