行星逃逸速度计算器
使用此行星逃逸速度计算器快速获得准确的计算结果。
逃逸速度
11,185.73 m/s
Escape Velocity vs Planet Mass
公式
## 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.
计算示例
Earth: M = 5.972e24 kg, R = 6.371e6 m.
- 01v_esc = sqrt(2 G M / R)
- 022 G M = 2 * 6.674e-11 * 5.972e24 = 7.972e14
- 03v_esc = sqrt(7.972e14 / 6.371e6)
- 04v_esc = sqrt(1.251e8)
- 05v_esc = 11 186 m/s = 11.19 km/s
常见问题
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.