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Physics 1842

On the Coloured Light of the Double Stars

Christian Doppler

Motion shifts the pitch of a wave — and, in principle, the colour of starlight.

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In depth · the introduction

You already know this one: a siren rises in pitch as the ambulance races toward you, then drops the instant it passes.

The big idea

Sound and light travel as waves — a train of crests, one after another. Christian Doppler realised that if the thing making the waves is moving, the crests get rearranged. Moving toward you, the source bunches its crests up, so they arrive more often: a higher pitch, a bluer light. Moving away, it stretches them out: a lower pitch, a redder light.

Nothing about the wave itself changes — the source still hums the same note. What changes is the spacing of the crests by the time they reach you, simply because the source kept moving between one crest and the next. That is the whole of the Doppler effect.

How it came about

Doppler, a struggling Austrian mathematician teaching in Prague, published the idea in 1842 with a bold target: he thought it explained why the two stars in some pairs glow in different colours — one bluish, one reddish — supposing one was racing toward us and the other away.

That part was wrong, and a Dutch scientist, Christoph Buys Ballot, said so. To test the principle the right way he used sound instead of starlight: in 1845 he put a band of trumpeters on an open railway carriage and had musicians with perfect pitch listen from the platform as the train rushed past. They clearly heard the note drop as it went by — the effect was real, just far too tiny in starlight to tint a star. Three years later Hippolyte Fizeau showed how it really works for light, and the two names are often joined as the Doppler–Fizeau effect.

Why it mattered

Because it turned motion into something you can hear, see and measure from a distance. If you can read how a wave's pitch or colour has shifted, you can tell how fast something is coming or going without ever touching it — a speeding car, a beating heart, a thunderstorm's winds, or a galaxy billions of light-years away.

A way to picture it

Imagine a duck paddling steadily across a pond, sending out ripples. In front of the duck the ripples pile up into tight, closely spaced lines; behind it they fan out, widely spaced. An insect floating ahead gets bobbed rapidly; one behind bobs slowly. The duck is the moving source, the ripples are the waves, and the crowded-versus-spread ripples are higher-versus-lower pitch.

A moving source sends out rings of waves; a slider speeds it up, crowding the rings ahead (higher pitch) and spreading them behind (lower pitch). A readout names the pitch heard in front and behind; push past the speed of the waves and the rings stack into a cone — a sonic boom.

Where it sits

Doppler built on the wave picture of light that Thomas Young (also in this Library) had championed a generation earlier. Looking forward, his shift became one of astronomy's sharpest tools: it is the very effect Edwin Hubble measured in distant galaxies in 1929, which Georges Lemaître read as proof that the universe is expanding — the redshift that opened modern cosmology.

The original document
Original source text
C. Doppler · Abhandlungen der k. böhm. Gesellschaft der Wissenschaften, vol. 5 (1842): 465–482 · presented to the Royal Bohemian Society, Prague, 25 May 1842
The principle
Doppler argues that the frequency a stationary observer perceives depends on whether the source of the waves is moving toward or away from them. As a source advances, each new crest is launched a little closer to the one before, so the waves reaching an observer ahead arrive crowded together — at a higher frequency; the waves reaching an observer behind arrive stretched out — at a lower frequency.
He frames the claim as general to all waves, illustrating it with the picture of a ship meeting versus following ocean swells, and writes it as a proportion between the perceived and emitted frequencies and the speeds involved.
The application to the stars
Doppler's chief purpose is astronomical: he proposes that the motions of binary stars toward or away from us should shift the colour of their light, and offers this as the explanation for why the two stars of certain pairs appear in contrasting colours.
[ … ]
The full memoir works through the proportion quantitatively and applies it, star by star, to the coloured double stars then catalogued. The complete original German text is available at the source below.
Christian Doppler · Prague · 25 May 1842