# Newton's Law of Universal Gravitation

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

All objects in the universe exert a gravitational force of attraction on each other.

### Newton's Law of Universal Gravitation formula

$$\large{ F_g = G\; \frac {m_1 \;m_2} {d^2} }$$

Where:

$$\large{ F_g }$$ = gravitational force

$$\large{ d }$$ = distance between objects

$$\large{ m_1 }$$ = mass of object 1

$$\large{ m_2 }$$ = mass of object 2

$$\large{ G }$$ = universal gravitational constant

Solve for:

$$\large{ d = \sqrt { \frac {G m_1 \;m_2} {F_g} } }$$

$$\large{ m_1 = \frac {F_g \; d^2} {G\; m_2} }$$

$$\large{ m_2 = \frac {F_g \; d^2} {G\; m_1} }$$