Science
Gravitational force
Estimate the Newtonian attraction between two point or spherical masses.
Calculators / Science / Gravity at a radius
Gravity at a radius calculator
Find gravitational acceleration outside an ideal spherical body.
On this page
Gravitational acceleration9.82m/s²
Calculator controls
How to calculate
Find gravitational acceleration outside an ideal spherical body.
Gravitational acceleration = 6.67430e-11*m/r^2 m/s²
Worked example
Central mass (kg): 5.9722e+24; Distance from centre (m): 6371000.
Gravitational acceleration: 9.82 m/s².
Assumptions and limits
Radius is measured from the centre, not the surface. The mass is enclosed central mass; the model excludes rotation and nonspherical effects.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find gravitational acceleration outside an ideal spherical body.
When this tool is useful
Gravitational acceleration = 6.67430e-11*m/r^2 m/s²
Understanding your inputs
| Input | What to enter |
|---|---|
| Central mass (kg) | Enter a number of at least 1e-12 and no more than 1e+35. |
| Distance from centre (m) | Enter a number of at least 1e-12 and no more than 100000000000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Radius is measured from the centre, not the surface. The mass is enclosed central mass; the model excludes rotation and nonspherical effects.
How is the result calculated?
Gravitational acceleration = 6.67430e-11*m/r^2 m/s²