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Calculators / Science / Gravitational force

Gravitational force calculator

Estimate the Newtonian attraction between two point or spherical masses.

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Your result

Attraction force3.34e-5N

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How to calculate

Estimate the Newtonian attraction between two point or spherical masses.

Attraction force = 6.67430e-11*a*b/r^2 N

Worked example

First mass (kg): 1000; Second mass (kg): 2000; Centre distance (m): 2.

Attraction force: 3.34e-5 N.

Assumptions and limits

Distance is between mass centres. Uses Newtonian gravity with G = 6.67430 × 10⁻¹¹ m³/(kg·s²); excludes extended nonspherical distributions and relativistic regimes.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

Estimate the Newtonian attraction between two point or spherical masses.

When this tool is useful

Attraction force = 6.67430e-11*a*b/r^2 N

Understanding your inputs

InputWhat to enter
First mass (kg)Enter a number of at least 1e-12 and no more than 1e+35.
Second mass (kg)Enter a number of at least 1e-12 and no more than 1e+35.
Centre distance (m)Enter a number of at least 1e-12 and no more than 100000000000000000000.

Frequently asked questions

What assumptions does this calculation use?

Distance is between mass centres. Uses Newtonian gravity with G = 6.67430 × 10⁻¹¹ m³/(kg·s²); excludes extended nonspherical distributions and relativistic regimes.

How is the result calculated?

Attraction force = 6.67430e-11*a*b/r^2 N