Stability of the Figure-Eight Orbit under Non-Markovian Memory Perturbations An AMDCF Framework Analysis

This paper explores the resilience of the Figure-Eight three-body choreography under the influence of small, non-Markovian memory perturbations. Using the Adaptive Memory-Driven Coupling Framework (AMDCF), we introduce microscopic adaptive diffusion and memory kernels to the classical equations of motion. The results demonstrate that the Figure-Eight orbit is not a fragile mathematical artifact, but a robust dynamical state capable of absorbing small historical fluctuations without catastrophic divergence. The system thickens in the Z-axis (3D perturbation) but maintains its choreographed structure over 4000 time steps, proving the physical realism of the AMDCF framework.