Redshift Calculator

Redshift Calculator

Calculate the cosmological or Doppler redshift (z) and the recession velocity of a distant object.

Last updated: March 2026 | By ForgeCalc Engineering

Redshift (z)
0.3501
Recession Velocity
104,967.45 km/s

What is Redshift?

Redshift occurs when the light from an object is increased in wavelength, or shifted to the red end of the spectrum. In astronomy, this is usually caused by the Doppler effect (motion through space) or cosmological expansion (expansion of space itself).

By measuring the shift of known spectral lines (like Hydrogen alpha), astronomers can determine how fast a galaxy is moving away from us and, by extension, how far away it is using Hubble's Law.

The Formula

Redshift Definition

z = (λₒ - λₑ) / λₑ
  • z = Redshift
  • λₒ = Observed wavelength
  • λₑ = Emitted (rest) wavelength

Frequently Asked Questions

What is 'Blueshift'?

Blueshift is the opposite of redshift. It occurs when an object is moving toward the observer, causing the wavelength to decrease (shift toward the blue end).

Can z be greater than 1?

Yes. For very distant galaxies, z can be much greater than 1. This means the observed wavelength is more than twice the emitted wavelength.

Is the velocity calculation always accurate?

The simple v = zc formula is only accurate for small z (z < 0.1). For larger z, relativistic formulas must be used.

What is the highest redshift ever observed?

The most distant known galaxies have redshifts exceeding z = 10, meaning we are seeing them as they were just a few hundred million years after the Big Bang.

Related Tools