Elliptical Orbit Simulations
C++ and Python code for gravitational elliptical orbit simulations. Demonstrates that elliptical orbits — and Kepler's laws — emerge naturally from the geometric orbital-pair model without requiring a gravitational force function. Related to Article 3.
Simulation Files
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Gravitational-elliptical-orbits_Nov-2025.cpp C++ simulation — elliptical gravitational orbits (Nov 2025). Recommended for computationally intensive runs with large orbital radii.
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Gravitational-orbital-ellipse-extrapolate.py Python — extrapolation and plotting of elliptical orbital trajectories.
Note: The simulation operates at the Planck scale — each orbital rotates
through one Planck length per Planck time (velocity $c$ in hyper-sphere coordinates).
Particles are treated as oscillations between an electric wave-state and a mass-point state.