The article states that these 'moons' typically stay for around 10 months. Do they escape from the Earth's gravity or are they pulled closer to the Earth and eventually break up in the atmosphere?
2006 RH120 is a tiny near-Earth asteroid with a diameter of about five metres, which ordinarily orbits the Sun but makes close approaches to the Earth–Moon system every twenty years or so. Occasionally the object temporarily enters Earth orbit through temporary satellite capture (TSC).