Gravitational Force Calculator
Find Newtonian attraction between point masses or nonoverlapping spherically symmetric bodies.
Formula
F = Gm₁m₂/r²; G = 6.67430 × 10⁻¹¹ N·m²/kg².
First mass: 1,000 kg · Second mass: 1,000 kg · Center-to-center distance: 1 m · Attractive force ≈ 6.67430e-11×(1,000 kg)×(1,000 kg)÷(1 m)^2
How to use
- Enter the two masses.
- Enter positive center-to-center separation.
- Read the attractive force magnitude.
Examples
- Two masses of 100,000 kg separated by 2 m attract with 0.1668575 N.
Frequently asked questions
Which distance is required?
Distance between the centers, not the gap between surfaces.
Does it fit arbitrary large bodies?
No. Irregular or overlapping mass distributions need integration.
Is G exact?
No. The 2022 CODATA value has uncertainty 0.00015 × 10⁻¹¹ in SI units.
Sources
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