It was discovered on 20 August 1982, by American astronomer couple Carolyn and Eugene Shoemaker at the Palomar Observatory in California.
[1] Hoag is a member of the dynamical Hungaria group,[1][3][4] that forms the innermost dense concentration of asteroids in the Solar System.
[1] The Small Solar System Objects Spectroscopic Survey (S3OS2) characterized Hoag as a stony S-type and uncommon L-type asteroid in the Tholen- and SMASS-like taxonomy, respectively.
[9][10][11][12][13][14][15] Best-rated lightcurve by American astronomer Brian Warner at his Palmer Divide Observatory in Colorado, gave a well-defined rotation period of 2.3717 hours with a brightness amplitude of 0.12 magnitude (U=3).
It gave a concurring sidereal period of 2.37219 hours, as well as two spin axes at (45.0°, 45.0°) and (225.0°, 45.0°) in ecliptic coordinates (λ, β).