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Escape Velocity Calculator

📐 Physics of Matter. Use the Escape velocity formula to find escape speed, planet mass, planet radius: pick the value you want, type the others, and the answer updates as you go.

ve=2GMRv_e = \sqrt{\dfrac{2GM}{R}}

Default: Earth.

Escape speed11186 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 speedm/s
Planet masskg
Planet radiusm

Worked example

Find the escape speed when Planet mass = 5.972 × 10²⁴ kg, Planet radius = 6.371 × 10⁶ m.

Using ve = √(2GM/R): Escape speed = 11186 m/s.

Frequently asked questions

What is the formula for Escape velocity?

ve = √(2GM/R). Default: Earth.

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

Escape speed in m/s, Planet mass in kg, Planet radius in m.

How do you calculate escape speed?

Put the values into ve = √(2GM/R). For example, with Planet mass = 5.972 × 10²⁴ kg, Planet radius = 6.371 × 10⁶ m, escape speed = 11186 m/s.

Can I solve for a different value?

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

All chemistry formulas in the Chemistry Formulas