Equations · equation

Doppler Effect

Acoustics · 1842

Equation
f′ = f·(c + vₒ)/(c − vₛ)
Field
Acoustics
Named After
Christian Doppler
Symbols
f emitted frequency · f′ observed frequency · c wave speed · vₒ observer speed toward the source · vₛ source speed toward the observer
Year
1842

Significance

Motion squeezes waves ahead and stretches them behind — the siren that drops in pitch as it passes. The same effect in light is how a radar gun catches a speeder, how a star's wobble betrays an orbiting planet, and how Slipher and Hubble first read the galaxy redshifts, as recession velocities. That last reading is the useful approximation rather than the mechanism: a cosmological redshift is space expanding underneath the light while it travels, not motion through space.

Celestial Objects

Sun

Related

Instruments

Requires

Elements

Referenced by

element
equation
instrument

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From the Equations database in Notion, last edited 2026-08-26. This page is the row, rendered by the build; nothing on it is written by hand.