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`gamma = 1/sqrt(1-( "v" /c)^2)`

Enter a value for all fields

The **Lorentz factor** calculator computes the time dilation (**`gamma`**) measured with an atomic clock at low speeds.

**INSTRUCTIONS:** Choose units and enter the following:

- (
**v**) Relative velocity of two observers

**Time Dilation(`gamma`):** The calculator return the dilation as a real number.

The theoretical curve for time dilation (Lorentz factor) is found using the following formula:

`gamma=1/sqrt(1-(v/c)^2)`,

where:

- `gamma` = Lorentz factor
- v = Relative velocity of two observers
- c = speed of light, the universal velocity that is the same in all frames of reference.

- E = m•c² (mass/energy equivalent)
- m = E/c² (mass from energy)
- E = m•γ•c² (mass/energy equivalent not at rest)
- E = h•ν (Quantum Energy)
- p = m•γ•v (Relativistic Momentum)
- c (Speed of light) = 2.99792458E8 m/s
- c² (Speed of Light Squared) = 931.46 MeV/u
- Lorentz factor (`gamma`)
- KE ≈ m(1+v²/(2c²)-1)c² (Relativistic Kinetic Energy)

23.1 Relativistic distortion of space and time by Benjamin Crowell, Light and Matter licensed under the Creative Commons Attribution-ShareAlike license.