Astronomy Escape Velocity

A gravitational-binding KPI. Distinct from orbital circular speed and from Physics velocity (d/t).

v = square root of (2GM/R) in m/s.

Tip: Keep “Mass M (kg)” and “Radius R (m)” on the same basis (units, period, and definition) before you calculate.

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Escape speed from the surface of a spherical body is the square root of 2GM/R.

Enter mass (kg) and radius (m). Uses G = 6.6743×10⁻¹¹.

Body mass in kilograms
Body radius in meters

Escape Velocity

Understanding Astronomy Escape Velocity

How we calculate. v = square root of (2GM/R) in m/s. See our methodology and accuracy policy .

Real-world scenario: A typical Astronomy Escape Velocity case uses mass m (kg) 5.97e24 and radius r (m) 6.37e6. Enter the same figures below to reproduce the worked path.

What is Astronomy Escape Velocity?

A gravitational-binding KPI. Distinct from orbital circular speed and from Physics velocity (d/t).

  • SI units
  • Non-relativistic teaching model
  • From surface radius R

The Formula

Escape Velocity
v = √(2 G M ÷ R)

Worked Example

Scenario: M = 5.97×10²⁴ kg; R = 6.37×10⁶ m.
Step 1: 2GM/R ≈ 1.25×10⁸
Step 2: √ ≈ 11180
Answer: Escape velocity is approximately 11180 m/s.

Common Use Cases

  • Homework: planetary escape
  • Study: pair with surface gravity
  • Lab: SI checks

Pro Tips

  • Result in m/s
  • Convert if you need km/s
  • Not rocket Δv budgets

Limitations: Astronomy Escape Velocity results are educational astronomy study aids—not navigation, mission planning, or professional observing advice. Confirm constants and units with your textbook or instructor.

Common mistakes

  • Swapping part and whole: The denominator must be the full total, not a subset.
  • Rounding too early: Carry extra decimal places through multi-step work before rounding the final percent.
  • Mixing percent and decimal forms: Enter rates in the format the calculator labels expect.

The worked example for astronomy escape velocity was verified with the calculator form on this page—enter the same values to confirm the result.

When to use this calculator

  • Use this page when your wording matches astronomy escape velocity and the form labels on screen.
  • Use percent of a number for “what is X% of Y?” problems.
  • Use number is what percent when you know part and whole and need the percent.

Still unsure about astronomy escape velocity? Start with the quick answer above, then open the linked calculator that matches your wording.

Comparison: when to use each method

Use this table to pick the right percent workflow before you calculate.

ScenarioWhen to use
Percent of a numberFinding a part of a whole (tax, tip, score)
Percent changeComparing old vs new values

Frequently Asked Questions

How do I use this astronomy escape velocity calculator?

For astronomy escape velocity, enter the values labeled on the form, then press Calculate. Compare the result to the worked example on this page.

What formula does this page use?

See the quick answer and formula box above for astronomy escape velocity—the same percentage calculator expression is applied to your inputs.

What if my result looks wrong?

When checking astronomy escape velocity, re-check part vs whole (or rate vs base), rounding, and whether percents were entered as 25 rather than 0.25 when the form expects percents.

Authoritative References

For astronomy study concepts, consult:

  • OpenStax Astronomy — free textbook reference
  • NASA — mission and outreach context
  • IAU — astronomical constants and naming