Planets & Stellar Astronomy Codexery

Parsec

Unit of distance defined by one arcsecond of parallax.

Parsec

The parsec (pc) is a unit of distance astronomers use for objects beyond our Solar System. One parsec equals about 3.26 light-years, 206,265 astronomical units (au), or 30.9 trillion kilometers (19.2 trillion miles). It comes from the idea of parallax and trigonometry: a parsec is the distance at which one au (the average Earth–Sun gap) appears to span an angle of one arcsecond (1/3600 of a degree). For example, Proxima Centauri, the nearest star, lies roughly 1.3 parsecs (4.2 light-years) away; from there, the Earth–Sun separation looks slightly smaller than one arcsecond. Stars you can see without a telescope typically sit within a few hundred parsecs, the farthest naked-eye stars reach a few thousand parsecs, and the Andromeda Galaxy is more than 700,000 parsecs away.

The word "parsec" is a contraction of "parallax of one arcsecond," coined by British astronomer Herbert Hall Turner in 1913. The unit was designed to make distance calculations from raw observational data simpler, which is why it remains the standard in astronomy and astrophysics, even though light-years are more common in popular science. Within the Milky Way, parsecs work for shorter distances, but larger scales call for multiples: kiloparsecs (kpc) for objects in and around our galaxy, megaparsecs (Mpc) for mid-range galaxies, and gigaparsecs (Gpc) for distant quasars and the most far-off galaxies.

In August 2015, the International Astronomical Union (IAU) passed Resolution B2, which—while defining absolute and apparent bolometric magnitude scales—also referenced an explicit definition of the parsec as exactly 648000/π au, or about 30,856,775,814,913,673 meters, based on the IAU 2012 exact definition of the astronomical unit in meters. This matches the small-angle definition used in many astronomy references.

The concept behind the parsec comes from an imaginary right triangle in space. The shorter leg is one au, and the angle opposite that leg is one arcsecond; the parsec is then the length of the adjacent leg. Trigonometry gives its value: it’s the distance from Earth at which the radius of Earth’s orbit subtends one arcsecond. One of the oldest methods for measuring stellar distances involves recording a star’s position from Earth on opposite sides of the Sun, about half a year apart. The difference in those two angles is twice the parallax angle, and the distance is found using trigonometry. German astronomer Friedrich Wilhelm Bessel published the first successful direct interstellar distance measurement in 1838, calculating 61 Cygni at 3.5 parsecs.

A star’s parallax is half the angular shift it appears to make against the celestial sphere as Earth orbits the Sun—or, equivalently, the angle the semimajor axis of Earth’s orbit subtends from that star. If that parallax is one arcsecond, the star is one parsec away. In practice, distance in parsecs is simply the reciprocal of the parallax in arcseconds: a parallax of 0.5 arcseconds means 2 parsecs, and so on. No trigonometry is needed because the angles are so small that the skinny-triangle approximation works. The term "parsec" first appeared in an astronomical publication in 1913. Astronomer Royal Frank Watson Dyson had called for a name for this unit, suggesting "astron," while Carl Charlier offered "siriometer" and Herbert Hall Turner proposed "parsec." Turner’s name stuck.

To calculate the value: by the 2015 definition, one au of arc length subtends an angle of one arcsecond at the center of a circle of radius one parsec. So 1 pc = 1 au / tan(1 arcsecond) ≈ 206,264.8 au. Converting from degrees, minutes, and seconds to radians gives the exact relationship.

unit
Parsec (pc)
type
Unit of length
coined_by
Herbert Hall Turner
field
Astronomy and astrophysics

Verified Timeline

183819131989201220132015

Lore & Background

The word parsec is a shortened form of a distance corresponding to a parallax of one arcsecond, coined by the British astronomer Herbert Hall Turner in 1913. The unit was introduced to simplify the calculation of astronomical distances from raw observational data. Partly for this reason, it is the unit preferred in astronomy and astrophysics, though in popular science texts and common usage the light-year remains prominent. Although parsecs are used for the shorter distances within the Milky Way, multiples of parsecs are required for the larger scales in the universe, including kiloparsecs (kpc) for the more distant objects within and around the Milky Way, megaparsecs (Mpc) for mid-distance galaxies, and gigaparsecs (Gpc) for many quasars and the most distant galaxies. In August 2015, the International Astronomical Union (IAU) passed Resolution B2 which, as part of the definition of a standardized absolute and apparent bolometric magnitude scale, mentioned an existing explicit definition of the parsec as exactly 648000/π au, or approximately 30856775814913673 metres, given the IAU 2012 exact definition of the astronomical unit in metres.

Reader's Guide

The use of the parsec as a unit of distance follows naturally from Bessel's method, because the distance in parsecs can be computed simply as the reciprocal of the parallax angle in arcseconds (i.e.: if the parallax angle is 1 arcsecond, the object is 1 pc from the Sun; if the parallax angle is 0.5 arcseconds, the object is 2 pc away; etc.). No trigonometric functions are required in this relationship because the very small angles involved mean that the approximate solution of the skinny triangle can be applied. The first successful published direct measurements of an object at interstellar distances were undertaken by German astronomer Friedrich Wilhelm Bessel in 1838, who used this approach to calculate the 3.5-parsec distance of 61 Cygni. The parsec is the unit preferred in astronomy and astrophysics, though in popular science texts and common usage the light-year remains prominent. Multiples such as kiloparsecs (kpc), megaparsecs (Mpc), and gigaparsecs (Gpc) are employed for larger scales.

Did You Know?

The Geometry of a Tiny Shift

Stellar parallax describes the apparent displacement of a nearby star against the backdrop of far more distant stars, a displacement that arises purely from the changing vantage point of an observer as Earth travels around the Sun. The effect reaches its greatest magnitude roughly six months apart, when Earth occupies opposite sides of its orbit and the baseline between the two observation points stretches to about two astronomical units. By convention, however, the parallax angle is taken as half of that maximum shift, corresponding to a baseline of one AU—the distance from Earth to the Sun. Once that tiny angle is measured, elementary trigonometry converts it into a distance, making stellar parallax the most direct geometric method we possess for gauging how far the nearest stars lie. The method's power is also its limitation: because the angles involved are vanishingly small, even the closest stars produce shifts so minute that they eluded detection for centuries.

Centuries of Doubt and Near Misses

For most of the early modern period, the inability to detect stellar parallax served as a powerful argument against the Copernican model. Euclidean geometry made clear that the effect would vanish if stars were sufficiently remote, yet thinkers like Tycho Brahe found the required void between Saturn's orbit and the fixed stars wholly implausible. Robert Hooke, frustrated by the limitations of naked-eye instruments, proposed a zenith telescope in 1674, cutting an aperture through two floors of Gresham College to track a single star's position; in the same publication he noted that Kepler had once guessed a parallax of 24 arcseconds. James Bradley, working in 1729, found the stellar motion too faint for his equipment but stumbled upon the aberration of light and the nutation of Earth's axis, cataloguing 3,222 stars in the process. Giuseppe Calandrelli claimed a detection for Vega in 1805–1806, but his four-arcsecond figure was a gross overestimate. Each near miss reinforced the perception that the effect either did not exist or lay beyond human measurement.

Three Astronomers, Three Stars, One Revolution

The long wait ended in the 1830s, when three observers independently cracked the problem. Thomas Henderson, working in Cape Town, South Africa, measured the parallax of Alpha Centauri between 1832 and 1833 but did not publish until 1839, after his return to England. Friedrich Georg Wilhelm von Struve, at the Dorpat university observatory, used a Fraunhofer great refractor to determine the distance to Vega during 1835–1836, publishing in 1837. His friend Friedrich Bessel mounted an intensive campaign at Koenigsberg Observatory in 1837–1838, employing a Fraunhofer heliometer on the star 61 Cygni and publishing his result in 1838. Together these three measurements established, for the first time, a reliable geometric distance scale to the stars. The Kuffner Observatory in Vienna added a large heliometer in 1896, and by 1910 it had yielded 16 parallax distances out of only 108 known to science. Yet by the century's close, roughly 60 stellar parallaxes had been obtained in total, most via the filar micrometer, underscoring just how arduous the measurement remained.

From Ground-Based Plates to Interstellar Baselines

The twentieth and twenty-first centuries transformed parallax from a rare, painstaking exercise into a routine astrometric tool. Photographic astrographs accelerated the process in the early 1900s, automated plate-measuring machines and 1960s computers streamlined catalogue compilation, and charge-coupled devices in the 1980s pushed optical uncertainties down to one milliarcsecond. The real leap came with space-based instruments: Hipparcos, launched in 1989, multiplied the number of milliarcsecond-precision parallaxes by a factor of a thousand, though it could reach only about 1,600 light-years—just over one percent of the Milky Way's diameter. The Hubble Space Telescope's WFC3 now achieves 20 to 40 microarcseconds, enabling reliable distances to roughly 10,000 light-years. In April 2020, NASA's New Horizons spacecraft, some 43 AU from Earth, captured the first interstellar parallax images of Proxima Centauri and Wolf 359, producing a shift large enough to see with the naked eye. ESA's Gaia, launched in December 2013, targets ten-microarcsecond accuracy for all moderately bright stars, cementing parallax as the calibration anchor of the cosmic distance ladder.

Frequently Asked Questions

What is a parsec?

A parsec (symbol: pc) is a unit of length used to express vast distances to stars and other objects beyond our Solar System. It works out to roughly 3.26 light-years, or about 30.9 trillion kilometres.

How do astronomers actually measure a parsec?

They observe a star's apparent shift (parallax) against more distant background objects as Earth moves around the Sun, then apply trigonometry to convert that tiny angular displacement into a distance.

Why do astronomers prefer parsecs over light-years for nearby stars?

Because parallax measurements naturally yield distances in parsecs, the unit slots directly into the calculation without extra conversion steps, making it the standard in professional stellar astronomy.

More in Planets & Stellar Astronomy 1-24

Spotted an error? Know more?

This is a living reference — every entry is fact-audited, and reader corrections feed straight into our audit queue. Suggest an edit · See this site's audit record

Comments

Loading…
Open in the interactive codex →