Calculadora de Velocidade de Escape Planetária — Formula

Planetary Escape Velocity

The escape velocity is the minimum speed an object needs to leave a planet's gravitational well without further propulsion.

Formula

v_esc = sqrt(2 G M / R)

  • *G* = 6.674 x 10^-11 N m2 / kg2
  • *M* = planet mass
  • *R* = planet radius

    • For Earth this is about 11.2 km/s.

    Exemplo Resolvido

    Earth: M = 5.972e24 kg, R = 6.371e6 m.

    1. v_esc = sqrt(2 G M / R)
    2. 2 G M = 2 * 6.674e-11 * 5.972e24 = 7.972e14
    3. v_esc = sqrt(7.972e14 / 6.371e6)
    4. v_esc = sqrt(1.251e8)
    5. v_esc = 11 186 m/s = 11.19 km/s