Calcolatore Velocita di Fuga Planetaria

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kg
m

Velocita di Fuga

11,185.73 m/s

Escape Velocity (km/s)11.1857 km/s

Escape Velocity vs Planet Mass

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.

Esempio Risolto

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

  1. 01v_esc = sqrt(2 G M / R)
  2. 022 G M = 2 * 6.674e-11 * 5.972e24 = 7.972e14
  3. 03v_esc = sqrt(7.972e14 / 6.371e6)
  4. 04v_esc = sqrt(1.251e8)
  5. 05v_esc = 11 186 m/s = 11.19 km/s

Domande Frequenti

Does escape velocity depend on the direction of launch?

No. Escape velocity is a scalar quantity and applies regardless of direction, as long as the path avoids the planet's surface.

Do rockets need to reach escape velocity?

Not necessarily. A rocket with continuous thrust can leave Earth at any speed. Escape velocity applies to unpowered (ballistic) trajectories.

What is the escape velocity of the Moon?

About 2.38 km/s, much lower than Earth's, which is why the Apollo lunar modules needed relatively small engines.

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