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Escape Velocity — result sheet
Calculate the classical escape velocity at the surface of an ideal spherical body from its mass and radius.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Classical surface escape speed v = sqrt(2 G M / r), using G = 6.67430e-11 N m^2/kg^2. This is a spherical-body surface relation only.
This calculator evaluates the classical escape-speed relation at the surface of an ideal spherical body. It returns metres per second and kilometres per second, without making launch, trajectory, atmosphere, or mission-planning claims.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Central-body mass — kg; Finite positive mass of the ideal central body.; minimum 1; maximum 1.0E+30
- Central-body radius — m; Finite positive surface radius from the body's centre.; minimum 1; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Central-body mass | 5.972E+24 |
| Central-body radius | 6371000 |
Classical surface escape speed is about 11,186 m/s, or 11.186 km/s.
Assumptions and limits
- Central-body mass is a finite positive value in kilograms and radius is a finite positive centre-to-surface distance in metres.
- The body is represented by a spherical Newtonian source, the starting point is its surface, and the reference state is zero speed at infinite distance with no other fields or losses.
- This is a classical spherical-body surface relation only. Launch vehicle performance, atmosphere, trajectory, orbital insertion, and mission planning are outside scope.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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