Free Lorentz Factor Calculator
Compute the Lorentz factor gamma = 1 / sqrt(1 - v^2/c^2), the key quantity in special relativity.
m/s
Lorentz Factor (gamma)
2.29343275
Beta (v/c)0.89993329
1 - beta^20.190120075603
Lorentz Factor (gamma) vs Velocity
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.
Example Calculation
Object at 0.9c.
- 01beta = v/c = 2.698e8 / 2.998e8 = 0.8999
- 02beta^2 = 0.8099
- 031 - beta^2 = 0.1901
- 04gamma = 1 / sqrt(0.1901) = 1 / 0.4360 = 2.294
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