Escape Velocity Calculator
Calculate the minimum velocity to escape a planet's gravitational field. Essential for rocket science and orbital mechanics.
Must be greater than 0
Must be greater than 0
Results
Escape Velocity
11186 m/s
How to Use This Calculator
Enter your input values
Fill in all required input fields for the Escape Velocity Calculator. Follow the units and input format printed next to each field. Where a unit selector is available, choose the units that match your data.
Review your inputs
Double-check that all values are correct and match the units or format shown for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.
Read the results
The Escape Velocity Calculator computes the output in your browser and displays the results, with units clearly labeled, as soon as they are ready — no data sent to a server.
Explore parameter sensitivity
Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.
When to Use This Calculator
- •Use the Escape Velocity Calculator when you need accurate results quickly without the risk of manual computation errors or unit conversion mistakes.
- •Use it to verify calculations made by hand or in spreadsheets — an independent check can catch errors before they lead to costly decisions.
- •Use it to explore how changing input parameters affects the output — a quick way to develop intuition and identify the most influential variables.
- •Use it when collaborating with others to ensure everyone is working from the same numbers and applying the same assumptions.
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About Escape Velocity Calculator
The Escape Velocity Calculator determines minimum speed to break free from a celestial body's gravity. Earth's escape velocity is ~11.2 km/s. This is fundamental to space exploration — every rocket must achieve at least this velocity. Escape velocity depends only on the planet's mass and radius, not the escaping object.
The Math Behind It
Formula Reference
Escape Velocity
v_esc = √(2GM/r)
Variables: G = 6.674×10⁻¹¹, M = mass, r = distance from center
Worked Examples
Example 1: Earth
M = 5.972×10²⁴, r = 6.371×10⁶
~11.2 km/s (25,020 mph).
Example 2: Moon
M = 7.342×10²², r = 1.737×10⁶
Only 2.38 km/s — why small Apollo ascent stages could escape.
Common Mistakes & Tips
- !Confusing with orbital velocity (escape is √2 times orbital).
- !Thinking escape velocity depends on object mass.
Related Concepts
Used in These Calculators
Calculators that build on or apply the concepts from this page:
Frequently Asked Questions
Do heavier rockets need higher escape velocity?
No — escape velocity is independent of object mass. But heavier rockets need more fuel to reach it.
Can anything travel faster?
Yes — any velocity above escape allows escape. Interplanetary spacecraft exceed it routinely.
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