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Photometry & distance · μ = 5 log₁₀(d) − 5

Distance Modulus

The difference between apparent and absolute magnitude, which encodes distance. A modulus of five corresponds to 100 parsecs; each five magnitudes multiply the distance tenfold.

Distance modulus5mag

Formula: μ = 5 log₁₀(d) − 5

Worked example

With the default inputs, distance modulus evaluates to 5 mag — 100 pc → μ = 5. The validator recomputes this against the known value on every build, so the formula is checked, not asserted.

Highlights

  • 100 pc → μ = 5

Knowledge connections

Sources

The primary and reference sources this topic draws on.

  • NASANational Aeronautics and Space Administration

    Mission data, planetary science, space telescopes, and public-domain imagery.

    Most NASA-produced imagery is in the public domain; individual items are checked for usage terms before publication.