Escape Velocity Calculator
Enter a body's mass in kilograms and its radius in metres to find the escape velocity, the minimum speed needed to break free of its gravity with no further thrust. The tool applies v = sqrt(2GM/r) with the gravitational constant G set to 6.674e-11, and returns the answer in both kilometres and metres per second. One click loads Earth, Moon, Mars, Jupiter or Sun values, and you can type any custom body.
How to use the escape velocity calculator
- Click a Preset button (Earth, Moon, Mars, Jupiter or Sun) to fill mass and radius, or skip to enter your own.
- Type the Mass in kilograms, scientific notation like 5.972e24 is accepted.
- Type the Radius in metres, the launch distance from the body's centre.
- Read the escape velocity in the km/s tile and the m/s tile.
- Click Copy to save the result as text.
Examples
Escape velocity from Earth (Earth preset)
mass = 5.972e24 kg, radius = 6.371e6 m
11.1857 km/s (11185.7 m/s)
Escape velocity from the Moon (Moon preset)
mass = 7.342e22 kg, radius = 1.7374e6 m
2.37501 km/s (2375.01 m/s)
Escape velocity from Mars (Mars preset)
mass = 6.417e23 kg, radius = 3.3895e6 m
5.02697 km/s (5026.97 m/s)
Frequently asked questions
What is escape velocity?
Escape velocity is the minimum launch speed an object needs to break free from a body's gravity and never fall back, ignoring air drag and further propulsion. Reach that speed at the surface and, coasting alone, the object slows forever without stopping.
What is the escape velocity formula?
v = sqrt(2 x G x M / r), where G is the gravitational constant, M is the body's mass and r is the distance from its centre, usually the surface radius. This calculator uses G = 6.674e-11 N m^2/kg^2.
What is Earth's escape velocity?
Using the Earth preset (mass 5.972e24 kg, radius 6.371e6 m) the tool returns 11.1857 km/s, or 11185.7 m/s. That matches the familiar textbook figure of about 11.2 km/s.
Does escape velocity depend on the launched object's mass?
No. The object's own mass cancels out of the equation, so a pebble and a rocket need the same escape speed from the same point. Only the mass and radius of the body you are leaving matter.
Does escape velocity depend on launch direction?
No, not in this idealised form. It is a speed, not a velocity vector, so any direction that clears the surface needs the same magnitude. A planet's spin can give a small real-world assist, but the formula here ignores that.
What units should I enter?
Mass in kilograms and radius in metres, matching the SI value of G built into the tool. You can type scientific notation such as 1.898e27. The output is shown in km/s and m/s.
Can I model altitude instead of the surface?
Yes. The radius field is simply the distance from the centre, so add your altitude to the surface radius. A larger radius gives a lower escape velocity, since gravity weakens with distance.
Why can I override the presets?
The five presets are a convenience for common Solar System bodies, but the tool works for any object. Enter the mass and radius of a dwarf planet, asteroid, exoplanet or a black hole model and it computes the same way.
Is the calculation done on my device?
Yes. Everything runs in your browser with JavaScript, so no mass, radius or result is uploaded to a server. It also keeps working offline once the page has loaded.
Why is my value slightly different from a reference?
Small differences come from the constants. This tool fixes G at 6.674e-11 and uses whatever mass and radius you supply, while references may use G = 6.6743e-11 or a different mean radius, shifting the last digits.
Learn more
- Why escape velocity ignores the rocket's mass
Escape velocity is the same for a marble and a spaceship. Here is the energy argument behind it, and why real rockets still need enormous fuel.
Related tools
Gravitational Force Calculator
Calculate the gravitational force between two masses with Newton's law of universal gravitation, F = G m1 m2 / r squared. Free physics calculator.
Orbital Period Calculator
Calculate orbital period from Kepler's third law, T = 2 pi sqrt(a cubed / GM). Enter the semi-major axis and central mass to get seconds, days and years.
Planet Weight Calculator
Find your weight on other planets and the Moon. Enter your Earth weight in pounds or kilograms to see it scaled by each body surface gravity.
555 Timer Calculator
Calculate 555 timer astable frequency, period, high and low times and duty cycle from R1, R2 and the timing capacitor. Free oscillator design helper.
Absolute Humidity Calculator
Calculate absolute humidity in grams of water vapor per cubic meter from air temperature and relative humidity. Fast, free and works in your browser.
Allele Frequency Calculator
Find allele frequencies from genotype counts. Enter the number of AA, Aa and aa individuals to get the A and a allele frequencies and allele totals.