Relativistic Doppler Effect

This interactive simulator explores Relativistic Doppler Effect in Астрономия и небо. Source emits at rest frequency f₀ and moves at v = βc; observer at angle θ measures f_obs = f₀ √(1 − β²) / (1 − β cos θ). Animated lab-frame wavefronts, observer at any angle, and a 380–700 nm spectrum strip showing the apparent colour shift of a 555 nm reference line — including the purely relativistic transverse Doppler (θ = 90°) red-shift f₀/γ. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Для кого: For learners comfortable with heavier math or second-level detail. Typical context: Астрономия и небо.

Ключевые понятия

  • relativistic
  • doppler
  • effect
  • relativistic doppler
  • astronomy

Как это работает

Relativistic Doppler shift f_obs = f₀ √(1−β²) / (1 − β cos θ). Animated wavefronts from a source moving at v = βc, an observer placed at angle θ, and a live spectral-line shift on a 380–700 nm strip. Captures the longitudinal blue/redshift asymmetry and the purely relativistic transverse Doppler effect at θ = 90°.

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