📏 au to in — Astronomical Unit to Inch Converter

Convert length and distance units — meters, feet, inches, kilometers, miles, light years and more.

1 unit =
From
To
Formula 1 au = 5.8898e+12 in
UnitNameValue
0.001 au5.88976e+09 in
0.01 au5.88976e+10 in
0.1 au5.88976e+11 in
1 au5.88976e+12 in
5 au2.94488e+13 in
10 au5.88976e+13 in
50 au2.94488e+14 in
100 au5.88976e+14 in
1000 au5.890e+15 in

How to convert Astronomical Unit to Inch

Multiply the number of Astronomical Units by 5.8898×1012 to get Inchs. Formula: in = au × 5.8898×1012. Example: 10 au × 5.8898×1012 = 5.8898×1013 in. To reverse, divide Inchs by 5.8898×1012 to get Astronomical Units.

Worked examples

Example 1
1 au × 5.8898×1012 = 5.8898×1012 in
1 Astronomical Unit equals 5.8898×1012 Inch.
Example 2
5 au × 5.8898×1012 = 2.9449×1013 in
5 Astronomical Unit equals 2.9449×1013 Inch.
Example 3
10 au × 5.8898×1012 = 5.8898×1013 in
10 Astronomical Unit equals 5.8898×1013 Inch.
Example 4 — reverse
1 in = 1.6979×10-13 au
To convert back from Inch to Astronomical Unit, divide by 5.8898×1012 or use the swap button above.

Astronomical Unit to Inch — reference table

Astronomical Unit (au)Inch (in)
0.001 au5889760000 in
0.01 au58897600000 in
0.1 au588976000000 in
0.5 au2.9449×1012 in
1 au5.8898×1012 in
2 au1.178×1013 in
5 au2.9449×1013 in
10 au5.8898×1013 in
20 au1.178×1014 in
50 au2.9449×1014 in
100 au5.8898×1014 in
250 au1.4724×1015 in
500 au2.9449×1015 in
1000 au5.8898×1015 in
10000 au5.8898×1016 in

Quick conversion tips

1
Multiply by 5.8898×1012

To convert Astronomical Unit to Inch, multiply by 5.8898×1012. Example: 10 au = 5.8898×1013 in

2
Reverse: divide by 5.8898×1012

To convert Inch back to Astronomical Unit, divide by 5.8898×1012 (multiply by 1.6979×10-13). Use the swap button above.

3
Round number check

Start with 100 Astronomical Units = 5.8898×1014 in as your reference point. Scale up or down from there.

Where astronomical unit to inch conversion is used

Scale model construction

Building accurate scale models of the solar system requires converting AU distances to inches. At 1 inch = 1 AU scale, the model fits on a desk — a favourite classroom activity for making planetary distances tangible.

US aerospace documentation

American aerospace engineers convert AU-based orbital parameters to inches when interfacing with US-customary engineering drawings, spacecraft hardware specifications, and legacy mission documentation still using imperial units.

Solar panel engineering

Satellites' solar panels are sized in inches, but their power output calculations use AU distance from the Sun via the inverse-square law — requiring AU-to-inch conversion in power budget engineering.

Astronomy outreach in the US

Science educators use AU-to-inch conversions for hands-on demonstrations: "If the Sun were the size of a basketball (9 inches diameter), the Earth would be 1 AU away — that's 98 feet from the ball."

Radar astronomy

Radar astronomers at US facilities like the Arecibo (in its era) and Goldstone observatories measured target distances in AU from radar timing but documented antenna dimensions, beam sizes, and pointing in US customary inches.

Space telescope optics

Hubble and James Webb Space Telescope mirror dimensions are specified in inches and meters, while target distances are expressed in AU, parsecs, or light-years — conversion between scales is routine in telescope operations documentation.

Frequently asked questions

1 Astronomical Unit equals 5.8898×1012 Inchs. Multiply any Astronomical Unit value by 5.8898×1012 to get Inchs.
10 Astronomical Units equals 5.8898×1013 Inchs. (10 × 5.8898×1012 = 5.8898×1013)
100 Astronomical Units equals 5.8898×1014 Inchs. (100 × 5.8898×1012 = 5.8898×1014)
Divide Inch by 5.8898×1012 to get Astronomical Units. Or multiply by 1.6979×10-13. Use the swap button on the converter above for instant reverse conversion.
Formula: in = au × 5.8898×1012. Example: 5 au × 5.8898×1012 = 2.9449×1013 in.
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About Astronomical Unit and Inch

Astronomical Unit (au)

The Astronomical Unit is a unit of Length measurement (symbol: au). 1 au = 5.8898×1012 in. Used in scientific and practical Length measurement applications.

Inch (in)

The Inch is a unit of Length measurement (symbol: in). It is part of an internationally recognised measurement system used alongside the Astronomical Unit.

History & origin

The astronomical unit has ancient roots — Aristarchus of Samos attempted to measure the Earth-Sun distance around 270 BC, estimating it at 18–20 lunar distances (the true value is about 390). For centuries the AU was estimated using Venus transit observations and trigonometry. Edmond Halley organised the first coordinated international transit-of-Venus expedition in 1716 to measure it precisely. The modern value was determined by radar ranging to Venus in 1961. The IAU formally defined the AU as exactly 149,597,870,700 metres in 2012 — a fixed constant of physics, not a measured distance.

The inch has one of the most colourful origin stories in measurement history. An English statute from 1324 under King Edward II defined it as 'three grains of barley, dry and round, placed end to end'. Before that, it was often defined as the width of a thumb — hence the word in many languages (French: 'pouce', Dutch: 'duim', both meaning thumb). The inch was standardised at exactly 25.4 mm in 1959 under the International Yard and Pound Agreement. It remains the dominant length unit in the US and is universally used for screen sizes globally.

Common use: Astronomical Unit to Inch conversion is needed when working with international standards, scientific publications, or reference materials that use different unit systems for Length measurement.