Universal Gravitation Calculator

Calculate gravitational force between two masses using Newton's Law of Universal Gravitation: F = Gm₁m₂/r²

Universal Gravitation

Calculate:

Presets:

Gravitational Constant G

6.67430 × 10⁻¹¹ N·m²/kg²

Gravitational Force

1.980e+20 N

FForce
1.980e+20 N
UPotential Energy
-7.613e+28 J
vEscape Velocity
1440.078 m/s
Orbital Velocity
1018.289 m/s

Orbital Parameters:

Orbital Period27.29 days
Barycenter from M14.668e+6 m
Hill Sphere (M2)6.151e+7 m

Gravitational Field Strength:

Due to M1 (at M2)0.003 m/s²
Due to M2 (at M1)3.316e-5 m/s²

Newton's Law of Universal Gravitation

F = G × m₁ × m₂ / r²

About Universal Gravitation

Newton's Discovery

Newton discovered that every object with mass attracts every other object. The force is proportional to the product of the masses and inversely proportional to the square of the distance between them.

Inverse Square Law

Gravity follows an inverse square law: doubling the distance reduces the force to one-quarter. This is why distant planets experience much weaker solar gravity.