In fact, the moon is also a satellite of the earth, which is natural, not man-made. If we put a satellite faster than the moon and slower than the second universe, it will move in an orbit larger than the radius of the moon's orbit and cannot be separated from the satellite of the earth. It will move around the earth and the moon.
As for the eight-character orbit you mentioned, whether it is a ring on the same plane or a ring on different planes, it is theoretically possible, and it is the result of the interaction of three or more stars (see "Three-body Motion Problem")!