Three-Body Problem: Transitioning to Continuum Mechanics via the Dual Rotational Current Model

This paper extends my previous work on the ”Dual Rotational Current Model” by provid- ing a formal transition from discrete point-mass dynamics to magnetic continuum mechanics. I address the chaotic nature of the Three-Body Problem by proving that the ”Mechanical Saddle Point” is analytically solvable for all cases when the vacuum is treated as a physical fabric of monopolar currents. Furthermore, I present a numerical comparison between my deterministic trajectory equation and the chaotic H´enon-Heiles orbits, demonstrating that the apparent chaos is a result of ignoring the background magnetic flux density.