It uses the mass and radius of a planet to find the energy-balance speed for escape.
Escape Velocity Calculator
Find how fast a projectile must travel to leave a planet or moon behind.
Escape Velocity Calculator
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It uses the mass and radius of a planet to find the energy-balance speed for escape.
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Formula
The escape velocity equation is
ve = sqrt(2GM / r)
G = gravitational constant
M = body mass
r = body radius
What the Escape Velocity Calculator Calculates
The Escape Velocity Calculator is built for astrophysics and rocketry users planning launches or studying planetary gravity. It uses the mass and radius of a planet to find the energy-balance speed for escape.
The calculator sets kinetic energy equal to gravitational potential energy at infinity and solves for velocity.
- Study planetary science.
- Estimate rocket launch requirements.
- Compare gravity across the solar system.
Escape Velocity Calculator Formula
The escape velocity equation is ve = sqrt(2GM / r)
Use the formula panel beside the calculator to keep the variables visible while you enter values.
- G = gravitational constant
- M = body mass
- r = body radius
How to Use the Escape Velocity Calculator
Enter the mass and radius of the planet or celestial body. The calculator keeps the fields focused on this specific problem so you do not have to adapt a generic velocity form by hand.
After you press Calculate, the result panel shows escape velocity in m/s, km/s, and mph. Reset clears the example values so you can start a fresh scenario.
- Use consistent real-world measurements for the selected scenario.
- Check that time, area, mass, or temperature values are positive where the formula requires them.
- Read the step-by-step substitution before using the final number in homework, design notes, or planning.
Escape Velocity Calculator Example
For Earth (mass 5.97e24 kg, radius 6.37e6 m), escape velocity is about 11,186 m/s.
How to Interpret the Escape Velocity Calculator Result
An object moving at this speed will travel away from the body forever, assuming no other forces interfere.
The extra output rows give practical companion values so the answer is easier to compare against common units or planning targets.
Escape Velocity Calculator Assumptions and Limits
The calculation assumes a non-rotating body and ignores atmospheric drag and the influence of other celestial bodies.
For professional engineering, safety, aviation, ballistics, medical, or project-management decisions, treat the result as a calculation aid and verify it against the standards used in your field.
Frequently Asked Questions
Answers to common questions about escape velocity calculations.
Escape velocity is the minimum speed an object needs to break free from a planet's gravity without further propulsion.
No. Mass cancels out in the energy-balance equation, so it is the same for a pebble or a rocket.
That is the result of applying Earth's mass and radius to the escape velocity formula.
Yes, if it has continuous thrust. Escape velocity refers to the speed needed for an unpowered projectile.
In the basic energy derivation it is a speed magnitude, but in practice it is directed away from the center of mass.