Simulations

Interactive Simulations

• Satellite Constellations & Coverage
  Visualizes satellite constellations orbiting Earth in glowing neon 3D. Adjust altitude, inclination, and constellation type (single plane or Walker Δ) to see how satellites move and how their coverage footprints overlap. Hover over satellites for altitude, inclination, position, and footprint radius, toggle trails to trace orbits, and explore presets for LEO, sun-sync, MEO, and GEO.
  Launch Simulation

• Hubble Flow
  Demonstrates the cosmological principle in a 3D expanding universe. Adjust the Hubble parameter to see galaxies recede with velocity \(v = H \, d\) , and explore physical vs. comoving views with hoverable galaxy data.
  Launch Simulation

• Random Star Field and Exoplanets
  Visualizes 4,000 randomly generated stars to illustrate the abundance of exoplanets. Click to turn 90% red, symbolizing the likelihood that most stars host at least one planet.
  Launch Simulation

• Relativity Light Clock
  An interactive demo of time dilation. Slide $\beta = v/c$ to change the train’s speed and watch a photon bounce between mirrors: in the platform’s frame the bounce takes longer by the Lorentz factor $\gamma$, while the train rider’s proper time $\tau$ ticks more slowly than coordinate time $t$. Toggle the A/B frame view to see the same physics from different inertial perspectives.
  Launch Simulation