# 5.2 Worked Example: Gravity Superposition

« Previous | Next »

The center of two spherical planets of masses $$\displaystyle m_1$$ and $$\displaystyle m_2$$ are separated by a distance $$\displaystyle d$$. Consider the origin of the coordinate system to be at the center of planet 1. At what location $$\displaystyle x$$ measured from the center of planet 1 will a third planet of mass $$\displaystyle m$$ experience zero gravitational force? Assume $$\displaystyle m_1 \ne m_2$$.

Express your answer in terms of the gravitational constant $$\displaystyle G$$, $$\displaystyle m_1$$, $$\displaystyle m_2$$ and $$\displaystyle d$$ as needed.

Flash and JavaScript are required for this feature.

« Previous | Next »