Parsecs to astronomical units
Instantly convert parsecs to astronomical units (pc → AU) with scientifically accurate results. Our converter uses the exact definitions for reliable output.
1 pc = 206,264.806245 AU
Formula
If you want to convert parsecs to astronomical units manually, use the formula below. This is intended for fast, practical calculations. The converter above uses definition-based constants computed at full precision from the geometric definition of the parsec, and the defined astronomical unit.
Conversion formula: AU = pc × 206,264.806245
Scientific basis: This relationship follows from the geometric definition of the parsec, where 1 parsec is the distance at which 1 astronomical unit subtends an angle of one arcsecond.
Equivalent value: 1 pc ≈ 206,264.8062454803 AU
Example: 2 pc = 2 × 206,264.806245 = 412,529.61249 AU
Scientific derivation:
1 pc = 1 AU ÷ tan(1″)
1″ = π / (180 × 3600) radians
Rearranging gives the direct conversion from parsecs to astronomical units at full precision.
Explanation: To convert parsecs to astronomical units, multiply by 206,264.806245 for quick manual calculations.
Table
| Parsecs (pc) | Astronomical units (AU) |
|---|---|
| 1 pc | 206,264.806245 AU |
| 2 pc | 412,529.612491 AU |
| 3 pc | 618,794.418736 AU |
| 4 pc | 825,059.224982 AU |
| 5 pc | 1,031,324.031227 AU |
| 10 pc | 2,062,648.062455 AU |
| 25 pc | 5,156,620.156137 AU |
| 50 pc | 10,313,240.312274 AU |
| 75 pc | 15,469,860.468411 AU |
| 100 pc | 20,626,480.624548 AU |
| 1,000 pc | 206,264,806.245480 AU |
FAQ
What is a parsec?
A parsec (pc) is an astronomical unit of distance defined geometrically as the distance at which one astronomical unit (AU) subtends an angle of one arcsecond. Astronomers commonly use parsecs to measure distances to stars, nebulae, and galaxies.
What is an astronomical unit?
An astronomical unit (AU) is a unit of length defined as exactly 149,597,870,700 meters. It closely corresponds to the average distance between Earth and the Sun, and is commonly used to describe distances within the Solar System.
How many astronomical units is 1 parsec?
1 parsec equals approximately 206,264.806245 astronomical units. This value is a decimal representation of the exact geometric relationship defined by stellar parallax and the astronomical unit.
How do you convert parsecs to astronomical units?
To convert parsecs to astronomical units, multiply the number of parsecs by 206,264.806245 for quick manual calculations. This value is a rounded working factor, while the converter calculates the exact relationship at full precision using the geometric definition of the parsec.
Example: 2 pc × 206,264.806245 = 412,529.612490 AU
Related
- Length
- Astronomical units to parsecs (AU → pc)