Orbital & Escape Velocity

Orbital period, circular velocity, and escape velocity

Quick presets

Distance measured from the centre of the central body.

v = √(GM/r) · v_esc = √(2GM/r) · T = 2π√(r³/GM)
Circular orbital velocity
7,672 km/s
7.672,5 m/s
Escape velocity
10,851 km/s
10.850,5 m/s
Orbital period
5.545 s
1,54 h
Gravitational parameter (μ = GM)
3,9859E14 m³/s²

Escape velocity is √2 ≈ 1.414× the circular orbital velocity at the same radius; orbital speed and period both depend only on the central mass and the radius, not on the orbiting object's mass.

Orbital & Escape VelocityCentral body of mass 5.972×10²⁴ kg with a satellite orbiting at radius 6771 km: circular velocity 7,672 km/s, escape velocity 10,851 km/s, period 5.545 s.rcentral bodyv (escape)v (circular)T = 5.545 s