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Astronomy Calculators

Distance Modulus Calculator

Convert between distance and the distance modulus using apparent and absolute magnitude.

Enter values

Results update as you type.

Result

Distance

63.0957 parsecs

Distance modulus
4
In light years
205.791
In kiloparsecs
0.063096

About the Distance Modulus Calculator

Convert between distance and the distance modulus using apparent and absolute magnitude.

Also known as: apparent magnitude, absolute magnitude, magnitude distance, m - M calculator.

How to use this calculator

  1. Enter solve for.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

m − M = 5·log₁₀(d) − 5, d in parsecs

Worked example

Using the values pre-filled in the calculator above:

  • Solve for: Distance
  • Apparent magnitude = 5
  • Absolute magnitude = 1

the calculator returns:

  • Distance: 63.0957 parsecs
  • Distance modulus: 4
  • In light years: 205.791
  • In kiloparsecs: 0.063096