长度收缩计算器 — 公式

Lorentz Length Contraction

Objects moving at relativistic speeds appear shorter in the direction of motion.

Formula

L = L0 * sqrt(1 - v^2/c^2) = L0 / gamma

  • *L0* = proper length (measured at rest)
  • *v* = relative velocity

    • Contraction occurs only along the direction of motion. Transverse dimensions are unaffected.

    计算示例

    A 100 m spaceship at 0.9c.

    1. beta = 0.9, gamma = 2.294
    2. L = L0 / gamma = 100 / 2.294
    3. L = 43.59 m
    4. The ship appears 56.4% shorter.