Convert Chains (ch) to Astronomical Units (AU)

Explore the relationship between Chains (ch) and Astronomical Units (AU). Understand both units, learn the conversion formula, and see real examples of how to express Earth-based distances in cosmic terms.

Result

AU

Conversion Formula

1 chain × 20.1168 → 20.1168 m
20.1168 m ÷ 149597870700 → 0.000000000134 astronomical-unit

About Chain (ch) and Astronomical (AU) Unit

Chain (ch)

A Chain (ch) is a traditional English unit of length once widely used in land surveying, agriculture, and mapping.
Precise value:

1 Chain = 20.1168 meters

The unit was first established in the 17th century by Edmund Gunter, a mathematician and surveyor from England. Gunter’s chain—composed of 100 metal links—became a standard tool for land measurement and division, especially in property surveys and early cartography.
Although largely obsolete today, the chain still holds significance in historical land records, surveying education, and as a reference point for traditional measurement systems.

Astronomical Unit (AU)

An Astronomical Unit (AU) represents the average distance separating the Earth from the Sun.
Precise value:

1 AU = 149,597,870,700 meters

This measurement was created to make it easier to express vast distances within our Solar System. Using conventional units like kilometers would result in extremely large and impractical numbers.
The concept of the Astronomical Unit was formally defined in the 19th century to unify astronomical distance calculations.
Today, it serves as a fundamental reference scale in astronomy, used to describe the spacing between planets, comets, asteroids, and spacecraft as they travel through the Solar System.

How to Convert Between Units

Converting Chains to Astronomical Units (ch → AU) allows us to express Earth-based distances using cosmic scales.
The general formula is:

Number of AU = Number of Chains × 20.1168 ÷ 149,597,870,700

Therefore, one chain equals approximately:

1 ch = 20.1168 ÷ 149,597,870,700 ≈ 1.345 ×10⁻¹⁰ AU

Practical Applications

Although converting Chains to Astronomical Units may sound unusual, it can serve multiple purposes:

  • Education: helps demonstrate how vastly different cosmic and terrestrial measurement systems are.

  • Scientific visualization: allows researchers to represent very small portions of astronomical distances using traditional land-based units.

  • Historical comparisons: useful for showing how older Earth measurements translate to astronomical scales.

  • Simulations and modeling: allows game designers, educators, or scientists to rescale data for specific visualization needs.

In short, converting from Chain to AU is not just a mathematical process—it’s a creative bridge between the familiar measurements of our planet and the immense scales of space.

Examples of Chain (ch) → Astronomical Unit (AU) Conversions

Chains (ch)

Distance in AU

1

1

0.0000000001345

2

10

0.000000001345

3

100

0.00000001345

4

1,000

0.0000001345

5

10,000

0.000001345

6

100,000

0.00001345

7

1,000,000

0.0001345

8

10,000,000

0.001345

9

100,000,000

0.01345

10

1,000,000,000

0.1345

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