Time Dilation Calculator — Formule
## Time Dilation
Special relativity predicts that time passes more slowly for objects in relative motion.
### Formula
**t = t_0 / sqrt(1 - v²/c²) = gamma * t_0**
where t_0 is the proper time (measured in the moving frame) and gamma = 1/sqrt(1 - v²/c²) is the Lorentz factor.
Special relativity predicts that time passes more slowly for objects in relative motion.
### Formula
**t = t_0 / sqrt(1 - v²/c²) = gamma * t_0**
where t_0 is the proper time (measured in the moving frame) and gamma = 1/sqrt(1 - v²/c²) is the Lorentz factor.
Exemple Résolu
1 second of proper time at 90% the speed of light.
- gamma = 1 / sqrt(1 - 0.9²)
- gamma = 1 / sqrt(1 - 0.81)
- gamma = 1 / sqrt(0.19)
- gamma = 1 / 0.4359 = 2.294
- t = 1 * 2.294 = 2.294 s (observed from outside)