免费时间膨胀计算器

根据相对论效应计算高速运动物体的时间膨胀。

s

Dilated Time (observer)

2.294157 s

Lorentz Factor (gamma)2.294157

Dilated Time (observer) vs Proper Time (moving frame)

查看公式 →

公式

## 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.

计算示例

1 second of proper time at 90% the speed of light.

  1. 01gamma = 1 / sqrt(1 - 0.9²)
  2. 02gamma = 1 / sqrt(1 - 0.81)
  3. 03gamma = 1 / sqrt(0.19)
  4. 04gamma = 1 / 0.4359 = 2.294
  5. 05t = 1 * 2.294 = 2.294 s (observed from outside)