Gravitational force between a planet and its moonThe gravitational force that a moon experiences as it orbits around a planet is, \( \large \vec{F} =-\frac{Gm_1m_2}{|\vec{r}_2-\vec{r}_1 |^2}\hat{r}_{1\rightarrow 2} \) [N]. Here $G$ = 6.6726×10-11 N m²/kg² is the gravitational constant, $m_1$ = ×1024 kg is the mass of the planet, $m_2$ = ×1021 kg is the mass of the moon, and $\vec{r}_{1\rightarrow 2}$ is the unit vector pointing from the planet towards the moon. The position of the planet is, [m], and the position of the moon is, [m]. |