Luminosity Distance Calculator

Calculate cosmological distances using the ΛCDM model

Redshift (z): *

Cosmological Parameters

H₀ (km/s/Mpc):

Ωm:

ΩΛ:

Magnitude (Optional)

Apparent Magnitude (m):

Absolute Magnitude (M):

About Luminosity Distance

The luminosity distance relates the intrinsic luminosity of an object to its observed flux. In an expanding universe, it differs from other distance measures due to cosmological effects.

Key Relations:

DL = (1 + z) × DC (flat universe)
DL = (1 + z)² × DA
μ = m - M = 5 log₁₀(DL/10pc)
F = L / (4πDL²)

Standard Cosmology (Planck 2018):

H₀ = 67.4 ± 0.5 km/s/Mpc
Ωm = 0.315 ± 0.007
ΩΛ = 0.685 ± 0.007