Universe Expansion Calculator

Calculate the recession velocity of distant galaxies using Hubble's Law. Determine how fast objects are moving away due to the expansion of the universe.

RECESSION VELOCITY
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Fraction of c
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Redshift z
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Lookback Time
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Distance (Mly)
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Hubble's Law

Hubble's Law states that the recession velocity of a galaxy is directly proportional to its distance from us. This relationship, first observed by Edwin Hubble in 1929, is the primary evidence for the expansion of the universe. The proportionality constant, known as the Hubble constant (H0), represents the current rate of expansion.

The expansion does not mean galaxies are moving through space; rather, the fabric of space itself is expanding, carrying galaxies along with it. Nearby galaxies within our Local Group are gravitationally bound and do not recede, but beyond about 10 Mpc, expansion becomes the dominant motion.

Expansion Formulas

v = H0 × d
z = v / c (for z << 1)

Key Measurements of H0

MethodH0 (km/s/Mpc)Year
Hubble (original)~5001929
HST Key Project72 ± 82001
Planck CMB67.4 ± 0.52018
SH0ES (Cepheids)73.0 ± 1.02022

Frequently Asked Questions

Can galaxies recede faster than light?

Yes. Galaxies beyond a certain distance recede faster than the speed of light. This does not violate relativity because the galaxies are not moving through space faster than light; instead, the space between us is expanding at a rate that effectively makes the separation increase superluminally.

What is the Hubble tension?

The Hubble tension refers to the discrepancy between H0 measured from the early universe (CMB, ~67.4) and from the local universe (Cepheids/supernovae, ~73). This 4-5 sigma disagreement might indicate new physics beyond the standard cosmological model.

How old is the universe?

The age can be approximated as 1/H0, giving about 14 billion years. More precise calculations accounting for the changing expansion rate yield 13.8 billion years, consistent with the oldest known stars and globular clusters.