Mechanics

Surface Gravity

g=GMR2g = \frac{GM}{R^2}

Gravitational acceleration at the surface of a spherical body.

Variables

g
Surface gravity
Gravitational acceleration at surface
m/s²
G
Gravitational constant
6.674×10⁻¹¹
N·m²/kg²
M
Mass
Mass of planet/body
kg
R
Radius
Radius of planet/body
m

Derivation

From g = GM/r², evaluated at r = R (surface).

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Common questions

What is the Surface Gravity formula?

Surface Gravity is written g = GM/R². Gravitational acceleration at the surface of a spherical body. It belongs to Mechanics, under Gravitation.

What are the units in g = GM/R²?

In SI units, g is surface gravity, measured in m/s²; G is gravitational constant, measured in m³/(kg·s²); M is mass, measured in kg; R is radius, measured in m.

How is the Surface Gravity formula derived?

From g = GM/r², evaluated at r = R (surface). The result is g = GM/R².