Calcolatore Velocita di Fuga — Formula
## Deriving Escape Velocity
Escape velocity is the minimum launch speed at the surface for an object to reach infinity without further propulsion.
### Formula
**v_esc = √(2 G M / r)**
This is exactly √2 times the circular orbital velocity at the same radius. It comes from setting kinetic energy equal to gravitational potential energy: 1/2 m v² = G M m / r.
Escape velocity is the minimum launch speed at the surface for an object to reach infinity without further propulsion.
### Formula
**v_esc = √(2 G M / r)**
This is exactly √2 times the circular orbital velocity at the same radius. It comes from setting kinetic energy equal to gravitational potential energy: 1/2 m v² = G M m / r.
Esempio Risolto
Find Earth's escape velocity (M = 5.972e24 kg, r = 6 371 km).
- v_esc = √(2 G M / r)
- 2 G M = 2 × 6.674e-11 × 5.972e24 = 7.972e14
- 7.972e14 / 6.371e6 = 1.251e8
- v_esc = √(1.251e8) ≈ 11 186 m/s ≈ 11.19 km/s