Cosmological Distance Calculator
Calculate luminosity distance, comoving distance, angular diameter distance, and lookback time using cosmological models.
Inputs
km/s/Mpc
Results
Luminosity Distance
458.25 Mpc
Comoving Distance
416.59 Mpc
Lookback Time
13.8 billion years
Angular Diameter Distance378.72 Mpc
Age at Emission0 billion years
Recessional Velocity32,077.79 km/s
How to Use This Calculator
- Enter the Redshift (z) of the object β from spectroscopic observations; nearby galaxies z β 0.01β0.1, high-z quasars z > 2.
- Set the Hubble Constant (km/s/Mpc): Planck value is 67.4; SH0ES measurement is 73.0.
- Adjust Matter Density (Ξ©_m) and Dark Energy Density (Ξ©_Ξ): standard ΞCDM uses 0.3 and 0.7 respectively.
- Read Luminosity Distance (Mpc) for flux-based calculations and Comoving Distance (Mpc) for volume statistics.
- Use Lookback Time (billion years) to determine the cosmic epoch you are observing and Age at Emission for context.
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Formula
d_L β (c/H_0) Γ z Γ [1 + 0.5(1 - Ξ©_m + Ξ©_Ξ)z]Related Calculators
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