Two-body orbital simulation with light-delayed gravity and leapfrog integration. Pulls real initial conditions from NASA JPL Horizons and compares against the analytic Kepler solution in real time.
Full ten-body solar system simulation, Sun through Pluto. Every body exerts gravitational force on every other body, with light-delayed gravity throughout. Built on the same physics engine as Sun-Venus.
The full write-up covering drift analysis, Monte Carlo stability testing across six timestep configurations, and what building a physics simulation from scratch actually taught me about maths, CS, and Godel.
Precision gravity engine using the Barnes-Hut O(N log N) tree algorithm. Launch custom satellites, watch real-time orbital dynamics, and observe how hierarchical force approximation scales with body count.
Detailed writeups on the physics and numerics: how the leapfrog integrator works layer by layer, why Kepler drift and Horizons drift measure fundamentally different things, the 1PN EIH equations, and IAS15.