No, Pluto and Charon do not circle around each other like the Earth and the Moon. They are a binary system, meaning they both orbit around a common center of gravity, which lies between them.

Here's why:

* Mass: While Pluto is significantly larger than Charon, Charon is still large enough (about 1/8th of Pluto's mass) that it exerts a significant gravitational pull.

* Center of gravity: The common center of gravity, called the barycenter, is located outside of both Pluto and Charon. Both bodies orbit around this barycenter.

* Mutual orbit: This means that while Pluto is the larger body, it's not truly the center of the system. Instead, both Pluto and Charon "dance" around each other.

So, while Pluto and Charon do orbit each other, they do it in a unique way that's different from a planet and its moon.