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Stellar parallax

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Stellar parallax is a method used to measure the distance to nearby stars. It relies on the apparent shift in a star's position against a background of much more distant stars. This shift happens because Earth moves in its orbit around the Sun. As our viewpoint changes, a nearby star seems to move slightly. This movement follows an elliptical path, which is a shape like a flattened circle.

Stellar parallax movement
Stellar parallax movement

By using this apparent movement, astronomers can calculate exactly how far away a star is. This process is a fundamental tool for mapping the scale of our universe.

The mechanism of stellar parallax works through the principles of trigonometry. Imagine a giant triangle in space with the star at one corner and the Sun at another. Earth occupies the third corner. Astronomers take observations at different times of the year. The most effective observations occur about six months apart. At this time, Earth is at opposite sides of its orbit. This creates a baseline distance of about two astronomical units (AU). One AU is the distance from the Earth to the Sun.

Stellar parallax right angle of observation
Stellar parallax right angle of observation

The parallax angle is considered to be half of this maximum shift. This is equivalent to a baseline of just one AU. By measuring the angle of this shift, scientists can use math to solve for the distance to the star.

Stellar parallax trigonometric calculation
Stellar parallax trigonometric calculation

Because the angles involved are incredibly small, they are measured in arcseconds. An arcsecond is a tiny unit of angular measurement. For very precise modern work, scientists use milliarcseconds or even microarcseconds. The distance unit known as a parsec is directly related to these angles. A parsec is defined as the distance to an object that has a parallax angle of exactly one arcsecond. This distance is approximately 3.26 light-years. Astronomers often use a simple mathematical shortcut to find the distance. They can calculate the distance in parsecs by taking the reciprocal of the parallax angle in arcseconds.

Stellarparallax parsec1
Stellarparallax parsec1

For many centuries, the existence of stellar parallax was a subject of intense debate. The shift is so small that it was impossible to see with early instruments. This lack of evidence was actually used to argue against heliocentrism, the idea that Earth orbits the Sun. The astronomer Tycho Brahe argued that if Earth moved, we should see a shift. He believed the stars were too far away for the shift to be detectable. He thought there would have to be an enormous, unlikely void between Saturn and the stars. In 1674, Robert Hooke proposed using a zenith telescope to find the shift. In 1729, James Bradley attempted to measure it. He failed to find parallax, but he discovered the aberration of light instead.

Dollond Heliometer 1790
Dollond Heliometer 1790

Success finally arrived in the 19th century due to technological progress. Three astronomers provided the first successful and reliable measurements. Thomas Henderson worked in Cape Town, South Africa, to measure the star Alpha Centauri between 1832 and 1833. Friedrich Georg Wilhelm von Struve measured the star Vega at the Dorpat university observatory. He published his results in 1837 using a Fraunhofer refractor. Friedrich Bessel conducted an intense campaign between 1837 and 1838 at the Koenigsberg Observatory. He used a specialized instrument called a heliometer to measure the star 61 Cygni.

Koenigsberg helio
Koenigsberg helio

These three achievements established the first reliable distance scale for the stars.

Modern technology has expanded our ability to measure the cosmos. In the 20th century, astrographs using photographic plates sped up the process. By the 1980s, charge-coupled devices (CCDs) replaced these plates. This change reduced optical uncertainties to one milliarcsecond. In 1989, the Hipparcos satellite was launched to measure stellar parallax with much higher accuracy. Hipparcos increased the number of measured parallaxes a thousandfold. The Hubble Space Telescope has also extended these measurements ten times further into the Milky Way.

Hubble stretches the stellar tape measure ten times further
Hubble stretches the stellar tape measure ten times further

Today, the Gaia mission is mapping stars with even greater precision, reaching tens of thousands of light-years away.

Stellar parallax remains the foundation for the cosmic distance ladder. This ladder is a series of methods used to measure distances in the universe. Parallax is used to calibrate these other methods. Even space probes contribute to this science. On April 22, 2020, the New Horizons spacecraft performed the first interstellar parallax measurement. By taking images of Proxima Centauri and Wolf 359 from a distance of 6.5 billion kilometers, it achieved a discernible parallax. This was possible because the spacecraft was much further from Earth than we usually are. As the distance between observation points increases, the parallax effect becomes easier to see.

New Horizons Proxima Centauri Parallax Animation
New Horizons Proxima Centauri Parallax Animation
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🖼️ Images & Media (12)
File:Stellarparallax parsec1.svg
Stellarparallax parsec1.svg
File:Dollond Heliometer 1790.jpg
Dollond Heliometer 1790.jpg
File:EB1911 - Heliometer - Fig. 10.jpg
EB1911 - Heliometer - Fig. 10.jpg
File:Koenigsberg helio.jpg
Koenigsberg helio.jpg
File:Bamberg Heliometer No 3253.jpg
Bamberg Heliometer No 3253.jpg
File:Hubble stretches the stellar tape measure ten times further.jpg
Hubble stretches the stellar tape measure...
File:New Horizons Proxima Centauri Parallax Animation.gif
New Horizons Proxima Centauri Parallax...
File:Stellar parallax movement.png
Stellar parallax movement.png
File:Stellar parallax right angle of observation.png
Stellar parallax right angle of observation.png
File:Stellar_parallax_parallel_lines_from_observation_base_to_distant_background.png
Stellar_parallax_parallel_lines_from_obser...
File:Stellar_parallax_parallel_lines.png
Stellar_parallax_parallel_lines.png
File:Stellar_parallax_trigonometric_calculation.png
Stellar_parallax_trigonometric_calculation.png
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