# Gravitational Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Gravitational acceleration ( $$g$$ ) (also known as acceleration of gravity) is the force on an object caused only by gravity.

### Gravitational Acceleration formula

$$\large{ g = \frac {G m} {r^2} }$$

Where:

$$\large{ g }$$ = gravitational acceleration

$$\large{ m }$$ = planet mass

$$\large{ r }$$ = radius from the planet center

$$\large{ G }$$ = universal gravitational constant

Solve for:

$$\large{ m = \frac {g r^2} {G} }$$

$$\large{ r = \sqrt { \frac {G m} {g} } }$$