Luminosity Distance Calculator
Compute distance (parsecs and light-years) from apparent and absolute magnitude.
Input Data
Observed apparent magnitude.
Absolute magnitude at 10 pc.
Results
100
326.156
Distance modulus: d = 10^((m−M+5)/5) = 100 pc (326.156 ly).
At a glance:Distance modulus: m − M = 5·log₁₀(d) − 5, so d(pc) = 10^((m−M+5)/5). 1 pc ≈ 3.26156 ly.
Formula
d (pc) = 10^((m − M + 5) / 5).
d (ly) = d(pc) × 3.26156.
How to Use
- Enter apparent magnitude m and absolute magnitude M.
- The tool returns distance in parsecs and light-years.
Case Studies
m=10, M=5 → 100 pc ≈ 326 ly
d = 10^((10−5+5)/5) = 10^2 = 100 pc; ×3.26156 ≈ 326 ly.
FAQ
m<M?
The object is closer than 10 pc, distance < 10 pc.
Versus parallax?
Parallax for nearby; modulus and redshift for distant.
Related Tools
References
Content reviewed by the Calculatorism editorial team. Results are for reference only; please refer to the relevant authorities for the official figures.