Lorentz factor to length contraction
Type a value in γ to get it in × instantly.
0.4367×
That's about the same as 90% of light speed. A year aboard would be about 2.29 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 γ to ×
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: 2.29 γ = 0.436681 ×.
Every unit
Your speed in every unit
Tables
γ to × conversion table
| γ | × |
|---|---|
| 1.01 γ | 0.990099 × |
| 1.05 γ | 0.952381 × |
| 1.15 γ | 0.869565 × |
| 1.25 γ | 0.8 × |
| 1.67 γ | 0.598802 × |
| 2.29 γ | 0.436681 × |
| 3.2 γ | 0.3125 × |
| 7.09 γ | 0.141044 × |
| 22.4 γ | 0.0446429 × |
× to γ conversion table
| × | γ |
|---|---|
| 0.01 × | 100 γ |
| 0.1 × | 10 γ |
| 0.3 × | 3.33333 γ |
| 0.5 × | 2 γ |
| 0.6 × | 1.66667 γ |
| 0.8 × | 1.25 γ |
| 0.9 × | 1.11111 γ |
| 0.95 × | 1.05263 γ |
| 0.99 × | 1.0101 γ |
| 0.999 × | 1.001 γ |
Quick answers
Quick answers
- How many × is 1 γ?
- 1 γ is 1 ×.
- How many × is 10 γ?
- 10 γ is 0.1 ×.
- How many × is 2.29 γ?
- 2.29 γ is 0.436681 ×.
The units
About these units
Lorentz factor (γ)
The number everything in special relativity scales by.
Length contraction (×)
How much shorter the moving object gets, as a fraction.
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