Gravitational Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

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

formula

\(g = \frac {G m} {r^2} \)

Where:

\(g\) = gravitational acceleration

\(G\) = universal gravitational constant

\(m\) = planet mass

\(r\) = radius from the planet center

Solve for:

\(m = \frac {g r^2} {G} \)

\(r = \sqrt {   \frac {G m} {g} }\)