Distância comóvel (z baixo)

D ≈ cz/H₀.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

D
428,27 Mpc

About this calculator

The low-redshift comoving distance calculator is used in cosmology to estimate distances to celestial objects with small redshift (z), typical of nearby galaxies. The formula D ≈ cz/H₀ is a simplified approximation that relates recession velocity (c*z) to the Hubble parameter (H₀ ≈ 70 km/s/Mpc). It applies to z << 1, where cosmic expansion is approximately linear.

Redshift z measures light stretching due to cosmic expansion. For low z, comoving distance (D) assumes recession velocity is proportional to distance, ignoring relativistic nonlinear effects. This method is practical for nearby galaxies like Andromeda but not for high-redshift objects (z > 0.1) where curvature corrections are needed.

This calculator is suitable for amateur astronomy or studies of local galaxies. For accuracy, ensure H₀ units match (70 km/s/Mpc gives D in megaparsecs). Example: If z=0.01 and H₀=70 km/s/Mpc, D ≈ (3×10⁵ km/s * 0.01 * 1 Mpc)/70 ≈ 42.86 Mpc. Cross-check with astronomical catalogs for validation.

Note that this approximation neglects dark energy and spatial curvature. For precise cosmological research, use more advanced models integrating the Friedmann equations. The c/H₀ term represents the Hubble distance scale in current cosmology.

Frequently asked questions

Why use the D ≈ cz/H₀ formula?

This linear approximation works for objects with very small z (z < 0.01), where cosmic expansion is nearly uniform. For higher z, more complex methods are required.

What is the Hubble parameter H₀?

H₀ is the current expansion rate of the universe, measured in km/s/Mpc. Its standard value is around 70 km/s/Mpc, but varies by measurement.

What units should I use in the formula?

Use speed of light (c ≈ 3×10⁵ km/s), unitless z, and H₀ in km/s/Mpc. The result will be in megaparsecs (Mpc).

Can I use this for distant objects?

No. For z > 0.1, nonlinear cosmic expansion requires integrated cosmological models.

How to verify accuracy?

Cross-check with astronomical catalogs or use professional software like Jupyter with cosmology libraries (e.g., astropy.cosmology).

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