The core principle establishes that planetary orbits in a central inverse-square force field are ellipses by demonstrating that the tips of velocity vectors trace a circle where the change vector magnitude is constant and independent of angular position. This theory relies on Kepler's Second Law (conservation of angular momentum) to define area sweep rates proportional to radial distance, combined with Newtonian gravity ($F \propto 1/r^2$) to cancel temporal scaling factors during velocity updates across equal-angle sectors. The mechanism proves that the tangent direction at any point in physical space corresponds to a specific geometric construction involving perpendicular bisectors relative to an eccentric circle derived from this velocity-space locus, confirming Kepler's First Law without solving differential equations.
The core principle establishes that planetary orbits in a central inverse-square force field are ellipses by demonstrating that the tips of velocity vectors trace a circle where the change vector mag…