Angular COM Axis Regression (ACAR) Simulation Code and Data

This dataset supports the study "Angular COM Axis Regression (ACAR): A Geometric Framework for Approximating $n$-Body Gravitational Dynamics." It contains simulation data and plots demonstrating the predictive power of the ACAR model, which estimates the center-of-mass (COM) axis rotation using a linear combination of angular positions of celestial bodies. Included are datasets and high-resolution plots for the following systems: The 9-body Solar System Binary star + planet system Binary planet + star system A hierarchical system (binary planets + star + second star) All simulations use circular orbits and simplified Newtonian mass models. The regression weights were fitted using linear models, and the results show near-perfect alignment with actual COM axis calculations.