The change in frequency of waves due to relative motion, used to detect stellar wobble.The Doppler shift is the change in frequency (and wavelength) of a wave when the source and observer are in relative motion. It applies to all types of waves, including sound, light, and radio waves. For light, a source moving away appears redshifted (lower frequency), while one moving toward appears blueshifted (higher frequency). This effect is fundamental in astronomy, where it reveals the motion of stars, galaxies, and even the expansion of the universe.
The effect was proposed by Christian Doppler in 1842 for sound waves and later generalized to light. It was first experimentally verified for sound by Buys Ballot in 1845, and for light by Hippolyte Fizeau, who applied it to spectral lines.
When a wave source moves toward an observer, each successive wave crest is emitted from a position closer to the observer, so the crests arrive more frequently — increasing the observed frequency. Conversely, if the source moves away, the crests arrive less frequently, decreasing the frequency. The magnitude of the shift depends on the relative velocity along the line of sight and the wave speed. For light, the relativistic Doppler formula accounts for time dilation at high speeds.
Doppler shift is used in radar and lidar for speed measurement, in weather radar to detect wind and storm motion, in medical ultrasound to measure blood flow, and in astronomy to detect exoplanets via stellar wobble and to measure galaxy recession velocities.
The Doppler shift is why the siren of an ambulance sounds higher-pitched as it approaches and lower-pitched as it recedes — the same effect that lets astronomers measure the expansion of the universe.


