Intuitive

Newton's law of Gravity tells us that the $\color{blue}{\text{gravitational force}}$ between $\color{red}{\text{two}}$ $\color{orange}{\text{masses}}$ gets smalles as the masses are removed $\color{magenta}{\text{farer away from each other}}$.

In addition, it tells us that the exact strength of the $\color{blue}{\text{gravitational force}}$ is determined by the $\color{olive}{\text{gravitational constant}}$, the $\color{red}{\text{two}}$ $\color{orange}{\text{masses}}$ of the objects in the system and the $\color{magenta}{\text{distance between them}}$.

So given an object with some known $\color{red}{\text{mass}}$, we can immediately calculate the $\color{blue}{\text{force}}$ it exerts onto antother $\color{orange}{\text{mass}}$.

Concrete

Abstract

Why is it interesting?

Newton's law is the static limit of the Einstein equation.

Definitions

• $F$ is the force between the two masses.
• $G$ is the gravitational constant.
• $m_1$ and $m_2$ are the masses of the two objects in questions.
• $r$ is the distance between the two objects.