Lorentz factor

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 Math / Science

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.

Mass-Energy-Light Calculators

• 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)

References

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