parsecs (pc) to chains (ch) conversion

1 pc = 1533881000000000 chchpc
Formula
1 pc = 1533881000000000 ch

Understanding Parsecs to Chains Conversion

A parsec (pc) is a unit of interstellar distance of about 3.086 x 10¹⁶ meters, while a chain (ch) is a surveyor's length of 66 feet (about 20.117 m) rooted in English land measurement. Pairing these two units is a study in extremes: one spans the gulf between stars, the other laid out fields and railways. The conversion is mainly instructive, showing how many surveyor's chains would tile the distance to a star.

Conversion Formula

1 pc=1.533881×1015 ch1\ \text{pc} = 1.533881 \times 10¹⁵\ \text{ch}

To convert parsecs to chains, multiply by this factor:

ch=pc×1.533881×1015\text{ch} = \text{pc} \times 1.533881 \times 10¹⁵

Step-by-Step Example

Convert 25 parsecs to chains.

ch=25×1.533881×1015=3.834703×1016 ch\text{ch} = 25 \times 1.533881 \times 10¹⁵ = 3.834703 \times 10¹⁶\ \text{ch}

How to Convert Parsecs to Chains

Restate a star distance in old surveyor's chains.

  1. Begin with parsecs: the astronomical distance.
  2. Multiply by 1.533881 x 10¹⁵: chains per parsec.
  3. Use scientific notation: the count is astronomically large.
  4. Worked result: 25 pc x 1.533881e15 = 3.834703e16 ch.

parsecs to chains conversion table

parsecs (pc)chains (ch)
00
11533881000000000
23067762000000000
34601643000000000
46135524000000000
57669405000000000
69203286000000000
710737170000000000
812271050000000000
913804930000000000
1015338810000000000
1523008210000000000
2030677620000000000
2538347020000000000
3046016430000000000
4061355240000000000
5076694050000000000
6092032860000000000
70107371700000000000
80122710500000000000
90138049300000000000
100153388100000000000
150230082100000000000
200306776200000000000
250383470200000000000
300460164300000000000
400613552400000000000
500766940500000000000
600920328600000000000
7001073717000000000000
8001227105000000000000
9001380493000000000000
10001533881000000000000
20003067762000000000000
30004601643000000000000
40006135524000000000000
50007669405000000000000
1000015338810000000000000
2500038347020000000000000
5000076694050000000000000
100000153388100000000000000
250000383470200000000000000
500000766940500000000000000
10000001.533881e+21

What is the parsec?

The parsec (pc) is a unit of length used in astronomy to measure large distances to objects beyond the Solar System, such as stars and galaxies.

Definition

One parsec is the distance at which one astronomical unit subtends an angle of one arcsecond.

1 pc=3.08568×1016 m1\ \text{pc} = 3.08568 \times 10¹⁶\ \text{m}

By the 2015 IAU exact definition, 1 pc = 648000/π au = 30,856,775,814,913,673 m. This equals about 3.2616 light-years or 206,265 astronomical units.

Origin and History

The term "parsec"—a contraction of "parallax of one arcsecond"—was coined by British astronomer Herbert Hall Turner in 1913. It arises naturally from the method of stellar parallax: a star one parsec away shifts by one arcsecond against the background as Earth moves from one side of its orbit to the other. The unit gave astronomers a convenient measure tied directly to their primary distance-measuring technique.

Law and Notable Facts

The parsec is accepted for use with the SI in astronomy. Multiples are common: the kiloparsec (kpc, thousands of parsecs) for galactic scales and the megaparsec (Mpc, millions) for intergalactic distances. No star lies within one parsec of the Sun; Proxima Centauri, the nearest, is about 1.30 pc away.

Real-World Examples and Conversions

  • Proxima Centauri lies about 1.30 pc (4.24 light-years) from Earth.
  • The Milky Way's disk spans roughly 30,000 pc (30 kpc) across.
  • The Andromeda Galaxy is about 0.78 Mpc away.
  • 1 pc ≈ 3.2616 light-years ≈ 206,265 au ≈ 30.857 trillion km.

What is the chain?

The chain (ch) is a unit of length in the imperial and US customary systems, equal to 66 feet, traditionally used in surveying and land measurement.

Definition

One chain equals 66 feet, or 22 yards, or 4 rods.

1 ch=20.1168 m1\ \text{ch} = 20.1168\ \text{m}

There are 80 chains in a mile and 10 square chains in an acre. This value uses the international foot; the US survey chain is larger by a factor of 1200/1199, giving about 20.11684 m.

Origin and History

The chain is named for Gunter's chain, a physical measuring device introduced by the English clergyman and mathematician Edmund Gunter around 1620. It consisted of 100 iron links totalling 66 feet, elegantly bridging the traditional (base-4/16.5) and decimal systems: distances could be recorded in decimal links yet still yield whole numbers of acres and miles. It became the standard tool of English and American surveyors for centuries.

Law and Notable Facts

The chain underpins the US Public Land Survey System, in which section lines and township grids were laid out in chains. A cricket pitch measures exactly one chain (22 yards) between the wickets—a lasting everyday trace of the unit. The chain is now largely obsolete outside historical land records and cricket.

Real-World Examples and Conversions

  • A cricket pitch is 1 chain = 22 yards = 66 ft long.
  • 1 chain = 100 links = 4 rods = 20.1168 m.
  • 80 chains = 1 statute mile.
  • An acre is 1 chain by 10 chains (10 square chains).

Frequently Asked Questions

How long is a surveyor's chain?

A chain is 66 feet, or about 20.117 meters, and 80 chains make one mile.

How many chains are in a parsec?

About 1.533881 x 10¹⁵ chains.

How do I convert chains back to parsecs?

Multiply chains by 6.519411e-16 to obtain parsecs.

Why compare parsecs and chains at all?

The two units come from wildly different domains, astronomy and land surveying, so the conversion is mostly a scale illustration rather than a working calculation.

What is 1 pc in chains, rounded?

Roughly 1.53 quadrillion chains.

Complete parsecs conversion table

pc
UnitResult
Nanometers (nm)3.085678e+25 nm
Micrometers (μm)3.085678e+22 μm
Millimeters (mm)30856780000000000000 mm
Centimeters (cm)3085678000000000000 cm
Decimeters (dm)308567800000000000 dm
Meters (m)30856780000000000 m
Kilometers (km)30856780000000 km
light-years (ly)3.261564 ly
astronomical units (au)206264.8 au
ångströms (angstrom)3.085678e+26 angstrom
Mils (mil)1.214834e+21 mil
Inches (in)1214834000000000000 in
Yards (yd)33745380000000000 yd
US Survey Feet (ft-us)101235900000000000 ft-us
Feet (ft)101236100000000000 ft
Fathoms (fathom)16872690000000000 fathom
Miles (mi)19173510000000 mi
Nautical Miles (nMi)16661330000000 nMi
chains (ch)1533881000000000 ch
rods (rd)6135524000000000 rd
furlongs (fur)153388100000000 fur
hands (hh)303708400000000000 hh