A satellite galaxy orbits a larger galaxy, due to gravitational attraction. Though a galaxy is made of a large number of objects (such as stars, planets, and nebulae) which are not connected to each other, it has a center of mass, which represents a weighted average (by mass) of the positions of each component object. This is similar to how an everyday object has a center of mass which is the weighted average of the positions of all its component atoms.
See more at Wikipedia.org...
A galaxy, possibly a dwarf elliptical or a dwarf irregular, which is in orbit around a much larger galaxy. For example, both the Magellanic clouds are satellite galaxies of the Milky Way.