# Gravitational Acceleration

Written by Jerry Ratzlaff. Posted in Relativistic Mechanics

Gravitational acceleration is the force on an object caused only by gravity.

## formula

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

Where:

$$g$$ = gravitational acceleration

$$m$$ = planet mass

$$r$$ = radius from the planet center

Solve for:

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

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