There are no planets that travel around the moon. The moon travels around Earth.
A moon or satellite.
the moon travels around the earth,and the earth travels around the sun
The moon travels in a fixed orbit around the Earth
No. A moon orbits around a planet. A planet orbits around the sun.
A moon always revolves around its planet.
The moon
It doesn't ! The moon travels around the earth !
No. The moon is not a planet; it is a moon. If it had its own orbit around the sun it would be considered a terrestrial planet.
A "moon" or a "satellite" of that planet
No, it orbits you. Of course! The moon orbits EARTH, our planet.
The planet and the moon(s) gravitational pull
Yes. The Moon travels in orbit around the Earth, at the same time that the Earth travels in orbit around the Sun, at the same time that the Sun travels in orbit around the Milky Way, etc.