Yes! Mars has two moons named Phobos and Deimos.
Spinning Space Sphere Orbiting Object Rotating and revolving Rock
Phobos is one of the moons of Mars. It is the larger of the two moons orbiting Mars and is an irregularly shaped object with a heavily cratered surface.
The object is orbiting round the other object.
The Solar System
Because it has planets orbiting it (such as Earth, Jupiter and Mars)
None. Mars is a planet which orbits The Sun. Planets do not orbit other planets. Mars does have two moon which orbit around it.
Anything in "orbit" is falling into the object that its orbiting ... and constantly missing. Because by the time the (orbiting) object has fallen far enough to hit ... the object it is orbiting has moved far enough so that they miss each other.
The velocity of the orbiting object is in the direction tangent to its orbit.
Nobody owns Mars or any other object in the solar system.
Mars' moons are Phobos and Deimos. No other known natural objects are orbiting Mars. But humans have sent three satellites into orbit around Mars. Mars Express (ESA), 2001: Mars Odyssey (NASA) and Mars Reconnaissance Orbiter (NASA).
Mars does not orbit the Earth. Mars orbits the Sun, as does the Earth.
Ceres or any of the other asteroids in the Asteroid Belt.