Asteroids 2010 TK7 and 2020 XL5 are of particular interest because of their behavior, which is similar to the so-called trojan asteroids. In this paper, computer simulations of the orbital evolution of the asteroids in question were carried out using the EPOS software system. The results of the computer simulations suggest that the Earth trojans were not ordinary trojans in the recent past and will most likely shift to another type of orbit in the distant future.