Calculateur du Facteur de Lorentz — Formule

The Lorentz Factor

Gamma is the cornerstone of special relativity, appearing in time dilation, length contraction, and relativistic energy.

Formula

gamma = 1 / sqrt(1 - beta^2)

where beta = v/c.

  • gamma = 1 at rest
  • gamma = 1.15 at 0.5c
  • gamma = 7.09 at 0.99c
  • gamma approaches infinity as v approaches c

    • Exemple Résolu

    Object at 0.9c.

    1. beta = v/c = 2.698e8 / 2.998e8 = 0.8999
    2. beta^2 = 0.8099
    3. 1 - beta^2 = 0.1901
    4. gamma = 1 / sqrt(0.1901) = 1 / 0.4360 = 2.294