A Quantitative Study of Octahedral Orbital Architectures

This dataset presents a quantitative and mathematically rigorous study of octahedral orbital architectures for large-scale Dyson swarm systems, focusing on the design, stability, and operational constraints of a three-dimensional configuration optimized for stellar energy harvesting. The study formalizes orbital dynamics, linearized stability, radiation pressure effects, thermal management, and coherent energy relay (CSBPB) efficiency using analytical and semi-analytical models. Key features include: Linearized Floquet analysis for orbital stability Active control and collision avoidance formulations Thermal radiator sizing and waste heat management CSBPB relay network efficiency and geometric optimization Astrophysical perturbation analysis including stellar luminosity variations Explicit listing of assumptions, limitations, and corrections The dataset includes LaTeX files containing all equations, derivations, and explanations required to reproduce the analysis. Supplementary tables summarize limitation points, assumptions, and necessary active control measures, providing a clear roadmap for future simulations or experimental designs. This work is intended as a foundational reference for researchers in orbital mechanics, space systems engineering, large-scale solar energy harvesting, and astroengineering, offering a fully self-contained framework suitable for computational modeling, validation studies, and conceptual exploration of orbital swarm architectures.