Redshift to megaparsecs
Type a value in z to get it in Mpc instantly.
That's 4.3× as distant as the Coma cluster, while the nearest quasar is 1.58× further. Light from it arrives about 10% longer in wavelength.
Convert the other way: Mpc to z
What it means
How far is that?
Distances use a simple Hubble law at 70 km/s per Mpc, which is only a good guide for small z. Beyond about z = 0.1 the real answer depends on the expansion history.
The math
How to convert z to Mpc
Redshift is a stretch: 1 + z = observed ÷ emitted wavelength. Speed follows relativistically, v = c × ((1+z)² − 1) ÷ ((1+z)² + 1), and distance from v ÷ H₀ at 70 km/s per Mpc.
Example: 0.1 z = 406.958 Mpc.
Every unit
Your redshift in every unit
Tables
z to Mpc conversion table
| z | Mpc |
|---|---|
| 0.001 z | 4.28061 Mpc |
| 0.01 z | 42.6134 Mpc |
| 0.05 z | 208.79 Mpc |
| 0.1 z | 406.958 Mpc |
| 0.5 z | 1,647.21 Mpc |
| 1 z | 2,569.65 Mpc |
| 2 z | 3,426.2 Mpc |
| 3 z | 3,778.9 Mpc |
| 5 z | 4,051.25 Mpc |
| 7 z | 4,150.97 Mpc |
| 11 z | 4,223.68 Mpc |
Mpc to z conversion table
| Mpc | z |
|---|---|
| 0.001 Mpc | 2.335×10⁻⁷ z |
| 0.01 Mpc | 2.335×10⁻⁶ z |
| 0.05 Mpc | 1.167×10⁻⁵ z |
| 0.1 Mpc | 2.335×10⁻⁵ z |
| 0.5 Mpc | 0.000116754 z |
| 1 Mpc | 0.000233522 z |
| 2 Mpc | 0.000467099 z |
| 3 Mpc | 0.00070073 z |
| 5 Mpc | 0.00116816 z |
| 7 Mpc | 0.0016358 z |
| 11 Mpc | 0.00257175 z |
Quick answers
Quick answers
- How many Mpc is 1 z?
- 1 z is 2,569.65 Mpc.
- How many Mpc is 10 z?
- 10 z is 4,212.54 Mpc.
- How many Mpc is 0.1 z?
- 0.1 z is 406.958 Mpc.
The units
About these units
Redshift (z)
The fractional stretch in wavelength, the number astronomers actually publish.
Megaparsecs (Mpc)
Distance by a simple Hubble law at 70 km/s per Mpc.
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