Escape Velocity Calculator – Calculate Escape Velocity
Calculate the escape velocity needed to break free from a celestial body's gravitational pull. Our calculator uses the formula ve = √(2GM/R).
Step 1: Enter the mass of the celestial body in kilograms.
Step 2: Enter the radius from the center to the surface in meters.
Step 3: Click Calculate to see the escape velocity needed to break free from gravity.
What Is Escape Velocity
Escape velocity is the minimum speed needed to break free from a planet or moon's gravity without further propulsion. It's not about direction - you can go straight up or at an angle. Once you reach escape velocity, you'll keep going forever (unless another gravity well catches you). Earth's escape velocity is 11.2 km/s - about 25,000 mph.
The Formula Explained
Escape velocity comes from equating kinetic energy to gravitational potential energy:
v_e = √(2GM/R)
G is the gravitational constant (6.674×10⁻¹¹), M is the body's mass, R is the radius. More mass means higher escape velocity. Larger radius (for the same mass) means lower escape velocity.
Escape Velocity vs Orbital Velocity
Orbital velocity is what keeps satellites circling Earth - about 7.8 km/s for low Earth orbit. Escape velocity is √2 times orbital velocity - about 11.2 km/s. Satellites stay in orbit. Escape velocity objects leave forever.
| Body | Escape Velocity | Notes |
|---|---|---|
| Moon | 2.38 km/s | Easy to launch from |
| Mars | 5.03 km/s | Less than half of Earth's |
| Venus | 10.36 km/s | Similar to Earth |
| Earth | 11.19 km/s | 25,020 mph |
| Saturn | 36.09 km/s | Gas giant |
| Jupiter | 60.20 km/s | Highest in solar system |
| Sun | 617.5 km/s | From surface (photosphere) |
Black holes have escape velocities greater than the speed of light - which is why nothing escapes them.
Frequently Asked Questions
Other Free Tools
Gravitational Field Calculator
Gravitational Field Calculator – Calculate Gravitational Field Strength
Orbital Period Calculator
Orbital Period Calculator – Calculate Orbital Period
Gravitational Force Calculator
Gravitational Force Calculator – Newton's Law of Gravitation
Acceleration Calculator
Acceleration Calculator
Velocity Calculator
Velocity Calculator – Calculate Speed with Direction
Kinetic Energy Calculator
Kinetic Energy Calculator – Calculate Energy of Motion