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Measuring stellar distances with parallax — Astronomy, 14–17 years

Nearby stars seem to shift against distant stars as Earth moves from one side of its orbit to the other. Measuring that tiny angle gives a distance without travelling to the star.

Parallax is a viewpoint shift

Hold out a finger and close one eye, then the other: the finger seems to jump against the background. Your two eyes are the two viewpoints. Astronomers use Earth’s positions six months apart as those viewpoints; a nearby star shifts more than a distant one.

Why measure distance this way?

A star’s brightness alone does not reveal its distance, because a powerful faraway star can look like a dim nearby one. Parallax solves the problem by using geometry rather than guessing from appearance. In 1838, Friedrich Bessel made one of the first successful stellar parallax measurements for 61 Cygni.

From angle to parsecs

Suppose a star’s annual parallax is measured as 0.5 arcseconds. Astronomers use the relation distance in parsecs = 1 ÷ parallax in arcseconds. So 1 ÷ 0.5 = 2 parsecs. Since one parsec is about 3.26 light-years, the star is about 6.52 light-years away.

The mistake: a big-looking shift means far away

It is reasonable to think a large movement in the sky means the star travelled far. In parallax, however, the star may barely move at all: our observing position moved. A large apparent shift means the star is closer, just as a nearby finger jumps more than a distant mountain when you change eyes.

A cosmic measuring stick

Parallax gives astronomers direct distances to nearby stars and helps test the distances estimated by other methods. Space telescopes such as Gaia measure extremely tiny shifts for more than a billion stars. These measurements build a map of our stellar neighbourhood and improve estimates of a star’s true brightness.

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