Escape Velocity Calculator
Calculate Minimum Speed to Escape Gravity
Calculate the minimum velocity needed to escape the gravitational pull of a celestial body using v_e = √(2GM/R).
Celestial Body Parameters
kg
Use scientific notation (e.g., 5.972e24)
m
Use scientific notation (e.g., 6.371e6)
Formula
v_e = √(2GM/R)
where: G = 6.674×10⁻¹¹ m³/(kg·s²)
Note
Escape velocity is independent of the object's mass and only depends on the celestial body's mass and radius.
Common Values
Earth:11.2 km/s
Moon:2.4 km/s
Mars:5.0 km/s
Jupiter:59.5 km/s
Sun:617.5 km/s
About Escape Velocity
Escape velocity is the minimum speed needed for an object to escape from the gravitational influence of a celestial body without further propulsion.
- Independent of object's mass
- Depends only on celestial body's mass and radius
- Same in all directions
Applications
- Space mission planning
- Rocket design and fuel requirements
- Planetary atmosphere retention
- Black hole event horizons
- Satellite orbital mechanics
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