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Escape Velocity Calculator

🪐 Gravity & circular motion. Use the Escape velocity formula to find escape velocity, planet mass, radius: pick the value you want, type the others, and the answer updates as you go.

vesc=2GMrv_{esc} = \sqrt{\dfrac{2GM}{r}}
Escape velocity11185 m/s

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Escape velocitym/s
Planet masskg
Radiusm

Worked example

Find the escape velocity when Planet mass = 5.97 × 10²⁴ kg, Radius = 6.37 × 10⁶ m.

Using vesc = √(2GM/r): Escape velocity = 11185 m/s.

Frequently asked questions

What is the formula for Escape velocity?

vesc = √(2GM/r).

What do the letters stand for, and what units are used?

Escape velocity in m/s, Planet mass in kg, Radius in m.

How do you calculate escape velocity?

Put the values into vesc = √(2GM/r). For example, with Planet mass = 5.97 × 10²⁴ kg, Radius = 6.37 × 10⁶ m, escape velocity = 11185 m/s.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (escape velocity, planet mass, radius) and fill in the others: it rearranges the formula for you.

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