Kilometers per second to Lorentz factor
Type a value in km/s to get it in γ instantly.
2.301γ
That's about the same as 90% of light speed. A year aboard would be about 2.301 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 km/s 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: 270,000 km/s = 2.30096 γ.
Every unit
Your speed in every unit
Tables
km/s to γ conversion table
| km/s | γ |
|---|---|
| 3,000 km/s | 1.00005 γ |
| 30,000 km/s | 1.00504 γ |
| 89,900 km/s | 1.04824 γ |
| 150,000 km/s | 1.15497 γ |
| 180,000 km/s | 1.25049 γ |
| 240,000 km/s | 1.66872 γ |
| 270,000 km/s | 2.30096 γ |
| 285,000 km/s | 3.22329 γ |
| 297,000 km/s | 7.34371 γ |
| 299,000 km/s | 13.7624 γ |
γ to km/s conversion table
| γ | km/s |
|---|---|
| 1.01 γ | 42,082.1 km/s |
| 1.05 γ | 91,409.9 km/s |
| 1.15 γ | 148,043 km/s |
| 1.25 γ | 179,875 km/s |
| 1.67 γ | 240,103 km/s |
| 2.29 γ | 269,698 km/s |
| 3.2 γ | 284,778 km/s |
| 7.09 γ | 296,796 km/s |
| 22.4 γ | 299,494 km/s |
Quick answers
Quick answers
- How many γ is 1 km/s?
- 1 km/s is 1 γ.
- How many γ is 10 km/s?
- 10 km/s is 1 γ.
- How many γ is 270,000 km/s?
- 270,000 km/s is 2.30096 γ.
The units
About these units
Kilometers per second (km/s)
The speed in everyday units. Light does 299,792.
Lorentz factor (γ)
The number everything in special relativity scales by.
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