What planet does titan orbit around?
Titan Orbits Saturn because its one of its moons, so say if Saturn was earth and titan was the moon, the moon would orbit the earth.
The first criterion in the definition of planet is that it must orbit a sun or the remnant of a sun. While Titan does orbit our Sun, it does so indirectly. Titan is under the direct gravitational control of its planet, Saturn, and not the Sun. The reason Titan is not considered a planet is that it isn't the dominant object in the neighbourhood of its orbit around the Sun.