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Gravitational Force Calculator

Newton's universal gravitation. Scientific notation like 5.97e24 works.

kg
Earth is 5.97e24 kg, the Moon 7.35e22, the Sun 1.99e30.
kg
m
Earth to Moon is 3.84e8 m.

The law

F = G × m₁m₂ / r²

G is 6.674 × 10⁻¹¹, absurdly small, which is why gravity only matters when at least one mass is planet-sized. Earth and Moon with the defaults pull on each other with about 2 × 10²⁰ N.

The inverse square

Double the distance, quarter the force. It never reaches zero: every mass tugs every other across the universe, just diminishingly. Two people a meter apart attract with about 3 × 10⁻⁷ N, hopelessly drowned out by everything else.