Fathoms to Astronomical units Converter — ftm to AU

Convert Fathom (ftm) to Astronomical unit (AU) using the exact conversion factor (1 fathom = 1.222477e-11 astronomical unit). See the formula, worked examples, conversion table, history, and common uses.

Fathoms to Astronomical units converter

Converter

Length Converter

Convert SI, imperial, US customary, astronomical, scientific, and historical length units.

Result 1 fathom = 1.222477e-11 astronomical unit
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From definition

A fathom is six feet.

To definition

An astronomical unit is the mean Earth-Sun distance.

Formula

Result = input x 1.8288 / 1.49597871e+11.

Length uses the meter as the base unit.

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About Converting Fathoms to Astronomical units

Fathom and Astronomical unit both measure length. Specifically: A fathom is six feet, and an astronomical unit is the mean Earth-Sun distance.

Formula

astronomical units = fathoms × 1.222477e-11

This factor comes from each unit's defined relationship to the category's base unit: 1 fathom equals 1.8288 base units, and 1 astronomical unit equals 149597870700 base units, so dividing one by the other gives the direct fathom-to-astronomical unit factor of 1.222477e-11.

Simple example

1 ftm × 1.222477e-11 = 1.222477e-11 AU

1 fathom = 1.222477e-11 astronomical units.

Real-world example

10 ftm × 1.222477e-11 = 1.222477e-10 AU

10 fathoms = 1.222477e-10 astronomical units.

Conversion table

Fathom (ftm)Astronomical unit (AU)
1 ftm1.222477e-11 AU
5 ftm6.112386e-11 AU
10 ftm1.222477e-10 AU
21.0975 ftm2.579121e-10 AU
42.195 ftm5.158243e-10 AU
100 ftm1.222477e-9 AU

Reverse conversion: Astronomical unit to Fathom

1.222477e-11 AU × 81801110400 = 0.9999997604 ftm

1.222477e-11 astronomical units = 0.9999997604 fathoms.

fathoms = astronomical units × 81801110400.3

For a page dedicated to this direction, see Astronomical unit to Fathom.

Understanding the Fathom (ftm)

A fathom is six feet.

Understanding the Astronomical unit

Astronomical unit (AU) measures distance. The astronomical unit is defined as exactly 149,597,870,700 meters, close to the average Earth-Sun distance. It is classified as a Non-SI unit accepted for use with SI (astronomical).

Where it's used: Used internationally in astronomy for solar-system-scale distances.

Uses of the Astronomical unit today

  • Measuring distances within the solar system (planetary orbits)
  • Astronomical calculations and spacecraft navigation
  • Popular science communication about the solar system

History of the Astronomical unit

The astronomical unit originated from 17th-19th century attempts to measure the Earth-Sun distance, refined over time using transits of Venus and later radar and spacecraft ranging.

In 2012, the International Astronomical Union fixed the AU at exactly 149,597,870,700 meters, replacing its earlier definition (tied to gravitational calculations) with a simple fixed distance, independent of the slightly-variable actual Earth-Sun distance.

Historical origin. Astronomical unit was not the invention of a single named person; it developed through the process described above.

Astronomical unit — sources

  • IAU Resolution B2 (2012) — Fixes the astronomical unit at exactly 149,597,870,700 meters.
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Frequently asked questions

How many astronomical units are in 1 fathom?

1 fathom equals 1.222477e-11 astronomical units, using the exact defined conversion factor rather than an estimate.

How do I convert fathom to astronomical unit?

Multiply the fathom value by 1.222477e-11. The converter above does this instantly to whatever precision you set.

How do I convert astronomical unit back to fathom?

Use the reverse factor: 1 astronomical unit equals 81,801,110,400 fathoms. You can also use the swap control in the converter above to flip the direction instantly.

What is a fathom?

Fathom (ftm) is a unit of length.

What is a astronomical unit?

Astronomical unit (AU) measures distance. The astronomical unit is defined as exactly 149,597,870,700 meters, close to the average Earth-Sun distance. It is classified as a Non-SI unit accepted for use with SI (astronomical).

Is the fathom to astronomical unit conversion exact?

Yes. The astronomical unit is defined as exactly 149,597,870,700 meters, close to the average Earth-Sun distance. That fixed definition is what the converter above uses, so any rounding you see is a display choice, not a limitation of the math.