ONE FORMULA, ONE ANSWER
Lorentz Factor Calculator
Calculate the Lorentz factor from relative speed. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Lorentz factor γ
Enter values and select Calculate.
γ = 1/√(1−v²/c²)
Assumptions
Required: 0≤v<c. Special relativity between inertial frames. Excluded: gravitational time dilation. Speeds at or above light speed are rejected.
Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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