Hubble Law Distance Calculator

Calculate cosmic distances and recession velocities using Hubble's Law

Hubble's Law Calculator

Hubble's Law

v = H₀ × D

Recession velocity equals Hubble constant times distance

Distance to the galaxy or cosmic object

km/s/Mpc

Current expansion rate of the universe

Hubble Law Results

0.00
Distance (Mpc)
0.00
Recession Velocity (km/s)
0.000000
Redshift (z)
0.00
Lookback Time (Gyr)
0.0000%
Fraction of c

Hubble's Law: v = H₀ × D = 70.3 × 0.00 = 0.00 km/s

Age at emission: ~13.80 billion years ago

Cosmological Analysis

Distance Scale

• Local Group: < 3 Mpc

• Nearby clusters: 10-100 Mpc

• Distant galaxies: 100-1000 Mpc

• Observable limit: ~14,000 Mpc

Velocity Regimes

• Non-relativistic: v < 0.1c

• Mildly relativistic: 0.1c - 0.5c

• Highly relativistic: v > 0.5c

• Horizon: v → c

Hubble Tension

The "Hubble tension" refers to the disagreement between H₀ measurements from the early universe (CMB: 67.7 km/s/Mpc) and late universe (Cepheids: 73.4 km/s/Mpc). This 5σ discrepancy may indicate new physics beyond the standard model of cosmology.

Distance Conversions

Megaparsecs:0.000e+0
Light years:0.000e+0
Kilometers:0.000e+0
Parsecs:0.000e+0

Velocity Conversions

km/s:0.00
m/s:0.000e+0
Fraction of c:0.000000
Redshift (z):0.000000

Key Concepts

🌌

Universe Expansion

Space itself is expanding, carrying galaxies away

📏

Redshift

Light wavelength increases due to expansion

Lookback Time

We see distant objects as they were in the past

🔭

Standard Candles

Objects with known luminosity for distance measurement

Understanding Hubble's Law

What is Hubble's Law?

Hubble's Law describes the relationship between the distance to a galaxy and its recession velocity. It states that the farther a galaxy is from us, the faster it appears to be moving away. This observation led to our understanding that the universe is expanding.

The Discovery

  • Edwin Hubble and Milton Humason (1929)
  • Used Cepheid variables to measure distances
  • Observed redshift in galaxy spectra
  • Established the velocity-distance relationship

Modern Measurements

Early Universe (CMB)

H₀ = 67.7 ± 0.4 km/s/Mpc from Planck satellite observations of the cosmic microwave background, assuming standard ΛCDM cosmology.

Late Universe (SH0ES)

H₀ = 73.4 ± 1.4 km/s/Mpc from Cepheid variables and Type Ia supernovae in the local universe, independent of cosmological assumptions.

Implications and Applications

Age of Universe

The Hubble constant helps determine the age of the universe. A higher H₀ implies a younger universe, while a lower H₀ suggests an older universe.

Dark Energy

Precise measurements of H₀ constrain models of dark energy and help us understand the accelerating expansion of the universe discovered in 1998.

New Physics

The Hubble tension may indicate new physics beyond the standard model, such as additional relativistic particles or modifications to gravity.