How is the acceleration of gravity calculated for planets?

Jan 31, 2016

You can use the expression of gravitational force.

Explanation:

We use a bit of the expression of Gravitational Force (in red):
${F}_{g} = \textcolor{red}{G} \cdot \frac{m \textcolor{red}{M}}{\textcolor{red}{{r}^{2}}}$
Where:
$G$ is the Universal Gravitational Constant;
$M$ is the mass of the planet;
$r$ is the radius of the planet.
(You can find these values in the literature).
Try with Earth you should find $9.8 \frac{m}{s} ^ 2$.
For other planets simply choose the specific $M$ and $r$.