Free Gravitational Acceleration Calculator
Compute the surface gravitational acceleration of a celestial body from its mass and radius using g = G M / r^2.
kg
m
Surface Gravity
9.8195 m/s²
In Earth g1.0013 g
Surface Gravity vs Body Mass
Surface Gravitational Acceleration
Formula
g = G M / r²
Divide by 9.80665 m/s² to express in multiples of Earth's standard gravity.
Example Calculation
Confirm Earth's surface gravity.
- 01g = G M / r²
- 02G M = 6.674e-11 × 5.972e24 = 3.986e14
- 03r² = (6.371e6)² = 4.059e13
- 04g = 3.986e14 / 4.059e13 ≈ 9.82 m/s²