Free Orbital Velocity Calculator
Determine the orbital speed of a body in a circular orbit using v = sqrt(G * M / r).
m
kg
Orbital Velocity
7,672.32 m/s
Velocity (km/s)7.6723 km/s
Orbital Velocity vs Orbital Radius
How Orbital Velocity Is Found
For a circular orbit the gravitational pull provides exactly the centripetal force needed.
Formula
v = √(G M / r)
Higher orbits are slower; lower orbits are faster.
Example Calculation
Find the speed of the ISS at about 400 km altitude (r = 6 771 km).
- 01v = √(G M / r)
- 02G M = 6.674e-11 × 5.972e24 = 3.986e14
- 03v = √(3.986e14 / 6.771e6) = √(5.887e7)
- 04v ≈ 7 673 m/s ≈ 7.67 km/s