Velocidade escape

v_e = √(2GM/R).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

v_e (m/s)
11.186 m/s

About this calculator

The escape velocity calculator is a tool that allows you to calculate the speed required for an object to escape the gravity of a celestial body, such as a star or a planet. The escape velocity is calculated based on the mass and radius of the celestial body, using the formula v_e = √(2GM/R), where G is the gravitational constant, M is the mass of the celestial body, and R is its radius.

The formula used by the calculator is derived from the equation of kinetic and potential energy of an object in orbit around a celestial body. The escape velocity is the minimum speed required for an object to overcome the gravitational force of the celestial body and escape its influence. This is especially important in space missions, where the escape velocity is crucial for determining the trajectory of a spacecraft.

The escape velocity is a fundamental quantity in astronomy and physics, and is used to study the formation and evolution of planetary and stellar systems. Additionally, the escape velocity calculator can be useful for students and researchers who need to perform quick and accurate calculations.

It is essential to be careful when using the calculator, as the accuracy of the results depends on the accuracy of the input values. Additionally, it is essential to remember that the escape velocity is just one of the many forces that act on an object in orbit, and that other factors, such as atmospheric resistance and the gravity of other celestial bodies, must also be considered.

Frequently asked questions

What is escape velocity?

Escape velocity is the minimum speed required for an object to escape the gravity of a celestial body.

How is escape velocity calculated?

Escape velocity is calculated using the formula v_e = √(2GM/R), where G is the gravitational constant, M is the mass of the celestial body, and R is its radius.

Why is escape velocity important?

Escape velocity is important in space missions, as it determines the trajectory of a spacecraft and is crucial for overcoming the gravitational force of a celestial body.

What are the precautions when using the escape velocity calculator?

It is essential to be careful with the accuracy of the input values and remember that escape velocity is just one of the many forces that act on an object in orbit.

Is escape velocity the same for all celestial bodies?

No, escape velocity depends on the mass and radius of the celestial body, therefore it is different for each celestial body.

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