Low‐perihelion near‐Earth asteroids (NEAs) are asteroids residing in near‐Earth space whose perihelia are less than Mercury’s orbit. They experience perihelia precessions affected by the General Relativity role and undergo substantial heating processes acting on the asteroid’s surfaces. These objects are unique samples for investigating the relativistic and thermal effects in their orbital dynamics. Here we report orbital dynamics of 89 known and highly‐accurate orbit low‐perihelion NEAs affected by the effects. For a short‐time evolution of only 104yr we find that each effect may significantly imply different orbital trajectories, such as for asteroid 2004 LG. This result suggests that both effects should be simultaneously incorporated when investigating accurately orbital dynamics of these objects, especially for long‐time evolution.

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