Calculateur de Module de Distance

Calculez le module de distance d'un objet astronomique.

Distance

206.06 pc

Distance Modulus (m - M)6.57 mag
Distance (ly)672.09 ly

Distance vs Apparent Magnitude (m)

Voir la formule →

Formule

## Distance Modulus The distance modulus (m - M) connects apparent and absolute magnitudes to distance. ### Formula **d = 10^((m - M + 5) / 5)** parsecs This is the inverse of the magnitude-distance relation and is fundamental to the cosmic distance ladder.

Exemple Résolu

A Cepheid variable has m = 1.43 and M = -5.14.

  1. 01Distance modulus = m - M = 1.43 - (-5.14) = 6.57
  2. 02d = 10^((6.57 + 5)/5) = 10^(11.57/5) = 10^2.314
  3. 03d ≈ 206 pc ≈ 672 ly

Questions Fréquentes

What is a standard candle?

An object with a known absolute magnitude (like a Type Ia supernova or Cepheid variable), allowing distance measurement via the distance modulus.

What distance modulus corresponds to 10 Mpc?

m - M = 5 log10(10^7/10) = 5 × 6 = 30. Such large moduli apply to distant galaxies.

Does interstellar dust affect this?

Yes. Dust dims light (extinction), making objects appear farther than they are. Corrections for reddening are essential.

Calculatrices Associées

Apparent Magnitude Calculator

Compute apparent magnitude from distance.

Absolute Magnitude Calculator

Find intrinsic brightness.

Cosmic Distance Ladder Calculator

Explore distance methods.