HomePhysics & MechanicsRelativistic Aberration & Doppler Beaming

Relativistic Aberration & Doppler Beaming

Fly through a fixed starfield at up to 0.995c and watch relativistic aberration bunch the sky ahead into a bright blue 'headlight' disc while the rear reddens and fades, driven by the real aberration and Doppler-beaming formulas.

Physics & Mechanics3DAdvanced60 FPS📱 Mobile-adapted
special-relativity ↗ Open standalone

This simulator puts you inside a fixed field of 2,000 stars and lets you accelerate up to 99.5% of the speed of light. Every star's on-screen position is computed live from the real relativistic aberration formula, cos θ' = (cos θ + β)/(1 + β cos θ), which is why the whole sky visibly telescopes into a bright ring ahead of you as β climbs — the same effect (at a far gentler scale) that Bradley first measured in starlight in 1727, driven here to its full relativistic extreme. Colour and brightness follow the companion relativistic Doppler factor D = 1/[γ(1 − β cos θ')], the mechanism astrophysicists invoke to explain why relativistic jets from blazars appear anomalously bright when pointed near Earth. Live readouts track your Lorentz factor, the Doppler factor fore and aft, and how much of the rear sky has folded into your forward view, while toggles let you isolate the aberration geometry from the colour and brightness effects.

⚙ Under the hood

Fly through a fixed starfield at up to 0.995c and watch relativistic aberration bunch the sky ahead into a bright blue 'headlight' disc while the rear reddens and fades, driven by the real aberration and Doppler-beaming formulas.

special relativityrelativistic aberrationdoppler effectrelativistic beaminglorentz factorastrophysics

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install

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