Newton's Law of Gravitation Calculator
Calculate the gravitational force between two objects using Newton's Universal Law of Gravitation.
Enter values above and click Calculate.
Formula
F = G × m₁ × m₂ / r²
- F — Gravitational force between the two objects (Newtons, N)
- G — Universal gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²
- m₁ — Mass of the first object (kg)
- m₂ — Mass of the second object (kg)
- r — Distance between the centers of the two objects (m)
Assumptions & References
- Both objects are treated as point masses or uniform spheres (distance measured center-to-center).
- The gravitational constant G = 6.67430 × 10⁻¹¹ N·m²/kg² is used per NIST CODATA 2018 recommended values.
- The calculation assumes a classical (non-relativistic) regime; general relativistic effects are ignored.
- No external gravitational fields or multi-body interactions are considered.
- Reference: Newton, I. (1687). Philosophiæ Naturalis Principia Mathematica.
- Reference: NIST CODATA 2018 — physics.nist.gov