Astronomical Unit Calculator
Convert between astronomical distance units: AU, light-years, parsecs, kilometers, miles, and more with precision scientific notation output.
About
Astronomical distances defy human intuition. An error of one decimal place when converting from pc (parsecs) to ly (light-years) can misplace a star by 3.26 light-years - the difference between Alpha Centauri and empty void. This calculator performs exact conversions between 16 distance units used in astrophysics, cosmology, and space navigation. All conversion factors trace to the IAU 2012 exact definition: 1 AU = 149,597,870,700 m, and the NIST value of c = 299,792,458 m/s. The tool assumes flat Euclidean space. It does not account for cosmological expansion (comoving vs. proper distance) or relativistic corrections. For redshift-dependent distances, use a cosmology calculator instead.
Precision matters in orbital mechanics. NASA's Mars Climate Orbiter was lost because of a unit mismatch between lbfΒ·s and NΒ·s. This tool eliminates that class of error for distance units. Results are displayed in both decimal and scientific notation. Pro tip: when working with extragalactic distances, prefer Mpc (megaparsecs) to avoid coefficients exceeding 1025.
Formulas
All conversions use a base-unit pivot through meters. Given a value V in source unit S to be converted to target unit T:
Where FS is the number of meters in one unit of S, and FT is the number of meters in one unit of T.
The parsec is derived from the astronomical unit via the exact relation:
The light-year uses the Julian year (365.25 days exactly):
Where c = 299,792,458 m/s (exact, SI definition). VS = input value in source units. VT = output value in target units. F = conversion factor (meters per unit).
Reference Data
| Unit | Symbol | Meters (exact or best) | Relative to 1 AU | Common Use |
|---|---|---|---|---|
| Meter | m | 1 | 6.6846 Γ 10β12 | SI base unit |
| Kilometer | km | 1,000 | 6.6846 Γ 10β9 | Planetary radii, altitudes |
| Mile | mi | 1,609.344 | 1.0758 Γ 10β8 | US/UK informal |
| Astronomical Unit | AU | 1.495978707 Γ 1011 | 1 | Solar system distances |
| Light-second | ls | 2.99792458 Γ 108 | 2.0040 Γ 10β3 | Earth - Moon delay |
| Light-minute | lm | 1.79875475 Γ 1010 | 1.2024 Γ 10β1 | Sun - Earth light travel |
| Light-hour | lh | 1.07925285 Γ 1012 | 7.2143 | Outer solar system |
| Light-day | ld | 2.59020684 Γ 1013 | 1.7314 Γ 102 | Kuiper belt scale |
| Light-year | ly | 9.4607304726 Γ 1015 | 6.3241 Γ 104 | Stellar distances (popular) |
| Parsec | pc | 3.0856775815 Γ 1016 | 2.0626 Γ 105 | Stellar parallax measurements |
| Kiloparsec | kpc | 3.0856775815 Γ 1019 | 2.0626 Γ 108 | Galactic structure |
| Megaparsec | Mpc | 3.0856775815 Γ 1022 | 2.0626 Γ 1011 | Hubble constant, galaxy clusters |
| Gigaparsec | Gpc | 3.0856775815 Γ 1025 | 2.0626 Γ 1014 | Observable universe scale |
| Lunar Distance | LD | 3.844 Γ 108 | 2.5696 Γ 10β3 | Near-Earth asteroid tracking |
| Solar Radius | R⊙ | 6.9634 Γ 108 | 4.6542 Γ 10β3 | Stellar astrophysics |
| Earth Radius | Rβ | 6.371 Γ 106 | 4.2588 Γ 10β5 | Exoplanet sizes, orbital mechanics |