Radiation-Driven Vertical Dynamics in Multi-Body Configurations

This investigation considers the non-planar motion of a test mass in a perturbed multi-primary gravitational system under time-varying radiation from a central source. Moving away from symmetric ideal models, we consider mass distribution and variation in the orbital radius among secondary primaries, along with a dynamic radiation parameter that simulates stellar variability. With numerical treatment of vertical equilibrium relations and linearized stability analysis, we demonstrate the structural asymmetry and temporal sensitivity of spatial equilibria to radiative force fluctuations. We find in our analysis that modest central radiation oscillations can destabilize equilibrium regimes, resulting in transient stability or chaotic motion. The results provide a generic framework for the study of vertical motion in radiation damage environments such as dusty rings, exoplanetary systems, and space debris fields.