Fraction of light speed to Lorentz factor
Type a value in c to get it in γ instantly.
2.294γ
That's about the same as 90% of light speed. A year aboard would be about 2.294 years back home.
What it means
How relativistic is that?
These are the effects for steady motion in a straight line. Acceleration and gravity add their own, which is general relativity rather than special.
The math
How to convert c to γ
The Lorentz factor is γ = 1 ÷ √(1 − v²/c²), and back again v = c × √(1 − 1/γ²). Time dilation is γ, length contraction is 1/γ, and the kinetic energy is (γ − 1) times mc².
Example: 0.9 c = 2.29416 γ.
Every unit
Your speed in every unit
Tables
c to γ conversion table
| c | γ |
|---|---|
| 0.01 c | 1.00005 γ |
| 0.1 c | 1.00504 γ |
| 0.3 c | 1.04828 γ |
| 0.5 c | 1.1547 γ |
| 0.6 c | 1.25 γ |
| 0.8 c | 1.66667 γ |
| 0.9 c | 2.29416 γ |
| 0.95 c | 3.20256 γ |
| 0.99 c | 7.08881 γ |
| 0.999 c | 22.3663 γ |
γ to c conversion table
| γ | c |
|---|---|
| 1.01 γ | 0.140371 c |
| 1.05 γ | 0.304911 c |
| 1.15 γ | 0.493818 c |
| 1.25 γ | 0.6 c |
| 1.67 γ | 0.800897 c |
| 2.29 γ | 0.899616 c |
| 3.2 γ | 0.949918 c |
| 7.09 γ | 0.990003 c |
| 22.4 γ | 0.999003 c |
Quick answers
Quick answers
- How many γ is 0.9 c?
- 0.9 c is 2.29416 γ.
The units
About these units
Fraction of light speed (c)
The speed as a fraction of c.
Lorentz factor (γ)
The number everything in special relativity scales by.
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