As of 2018, no rotational lightcurve of 2010 TJ has been obtained from photometric observations. The object's rotation period, shape and poles remain unknown.[6]
Diameter and albedo
According to the Johnston's Archive and Michael Brown, 2010 TJ measures 443 and 471 kilometers in diameter, and its surface has an assumed albedo of 0.09 and 0.07, respectively.[3][5]