basic

Relativistic Momentum Calculator

p = γ · m · v for a moving particle.

Compute the relativistic momentum p = γ·m·v of a particle of rest mass m moving with speed v, where γ = 1/√(1 − v²/c²). Reports the Lorentz factor γ and the classical (Newtonian) momentum for comparison.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

kg

Results

Enter values and click Calculate to see results.
Was this helpful?

How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

p = γ · m · v; γ = 1 / √(1 − β²), β = v / c.

In depth

Compute the relativistic momentum p = γ·m·v of a particle of rest mass m moving with speed v, where γ = 1/√(1 − v²/c²). Reports the Lorentz factor γ and the classical (Newtonian) momentum for comparison.