Physics and Engineering
Escape Velocity Calculator
Escape Velocity Calculator calculate ideal escape speed from the mass of a spherical body and distance from its center.
Physics and Engineering
Escape Velocity Calculator
Calculate ideal escape speed from the mass of a spherical body and distance from its center.
Formula
Escape speed = sqrt(2 x G x body mass / center distance).
About the Escape Velocity Calculator
Calculate ideal escape speed from the mass of a spherical body and distance from its center.
How the Escape Velocity Calculator Works
Newtonian gravitational potential energy is equated with kinetic energy at the entered radius using the standard gravitational constant.
Formula
Escape speed = sqrt(2 x G x body mass / center distance).
The calculation runs in your browser. Values are validated for required ranges, compatible units, and method-specific restrictions before results are displayed.
Required Inputs
- Body mass (required) - enter in kg.
- Distance from body center (required) - enter in m.
Results Reported
The result panel reports the final answer and the intermediate quantities needed to check the calculation:
- Escape speed (m/s)
- Escape speed (km/s)
- Escape speed (km/h)
- Gravity at entered radius (m/s2)
Escape Velocity Calculator Example
Select Example Data in the calculator to load this reproducible input set:
| Input | Example value |
|---|---|
| Body mass | 5.972e+24 kg |
| Distance from body center | 6371000 m |
How to Use the Calculator
- Confirm that the calculator title and formula match the quantity you need.
- Enter every required value using the unit shown with its field.
- Select Example Data to inspect a valid input set, or enter your own values and select Calculate.
- Review all reported values and the displayed formula before using the answer.
- Use Copy Result or Download CSV when you need a reusable record.
Accuracy and Limitations
The result assumes an instantaneous unpowered launch, no atmosphere, no rotation, a spherical body, and no other gravitating bodies. It is not a real launch delta-v budget.
Keep units consistent, use measurements that represent the actual situation, retain full precision during the calculation, and round only the final answer. Professional decisions may require current official rules, field measurements, laboratory methods, or specialist review.
Frequently Asked Questions
What does the Escape Velocity Calculator calculate?
Calculate ideal escape speed from the mass of a spherical body and distance from its center.
Which formula does the Escape Velocity Calculator use?
Escape speed = sqrt(2 x G x body mass / center distance). Newtonian gravitational potential energy is equated with kinetic energy at the entered radius using the standard gravitational constant.
What should I check before using the Escape Velocity Calculator result?
The result assumes an instantaneous unpowered launch, no atmosphere, no rotation, a spherical body, and no other gravitating bodies. It is not a real launch delta-v budget.