Astro-Physics

Escape Velocity Calculator

Breaking the bonds of gravity. Determine the speed required to leave a celestial body entirely based on its mass and radius.

km/s
---
km/h
---
mph
---

Energy Balance

Escape velocity is the point where Kinetic Energy exactly equals Gravitational Potential Energy.

ve = √(2GM / r)

Solar System Escape

Mercury4.25 km/s
Venus10.36 km/s
Saturn35.5 km/s

Escaping the Gravity Well

Gravity is often described as a "well." To climb out of it, you need a certain amount of energy. Escape Velocity represents the minimum speed an object must have relative to a planet in order to leave its gravitational field without further acceleration.

The Science of the Impulse

A key distinction of escape velocity is that it defines an "unpowered" trajectory. Imagine firing a projectile from a cannon. If the projectile leaves the cannon at exactly Earths escape velocity (11.186 km/s), it will continue to slow down as it moves away, but Earths gravity will never be strong enough to pull it back. Its velocity will approach zero as its distance approaches infinity.

Black Holes and Event Horizons

The concept of escape velocity is also the foundation of black hole physics. A black hole is formed when an object is so massive and dense that its escape velocity at a certain distance exceeds the speed of light ($c$). That boundary is called the Schwarzschild radius or event horizon. Since nothing can travel faster than light, nothing can escape.

Escape Velocity Matrix

Planet G (Earth = 1) Escape Velocity
Earth 1.00 11.2 km/s
Moon 0.17 2.4 km/s
Jupiter 2.53 59.5 km/s
Sun (avg) 28.02 617.5 km/s

Related Physics & Space Tools

Frequently Asked Questions

What is the escape velocity of Earth?

At the Earths surface, the escape velocity is approximately 11.186 km/s (roughly 25,020 mph).

How does escape velocity differ from orbital speed?

Orbital speed is the velocity required to stay in a circular orbit. Escape velocity is the minimum speed needed to break free from a planets gravitational pull entirely, without further propulsion. It is exactly √2 times the circular orbital speed at the same distance.

Can you escape a planet at lower speeds?

Yes, if you have constant thrust (like a rocket that never runs out of fuel). Escape velocity assumes an "impulse" start where no further force is applied after the initial boost.