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Mechanics
Mechanics

Gravitational Field

g=GMr2g = \frac{GM}{r^2}

Gravitational field strength at distance r.

Variables

g
Gravitational field
Field strength
m/s²
G
Gravitational constant
6.674×10⁻¹¹
N·m²/kg²
M
Mass
Source mass
kg
r
Distance
From center of mass
m

Derivation

g = F/m = GM/r² from universal gravitation.

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Common questions

What is the Gravitational Field formula?

Gravitational Field is written g = GM/r². Gravitational field strength at distance r. It belongs to Mechanics, under Gravitation.

What are the units in g = GM/r²?

In SI units, g is gravitational field, measured in m/s²; G is gravitational constant, measured in m³/(kg·s²); M is mass, measured in kg; r is distance, measured in m.

How is the Gravitational Field formula derived?

g = F/m = GM/r² from universal gravitation. The result is g = GM/r².