The asteroid has an odd shape, as evidenced by adaptive optics images, the first of which were taken in December 2003, with the Keck telescope. Of many proposed shape models that agreed with the images, a "snowman"-like shape was found to best fit the seen precession rate of Hermione's moon.
Observation of the moon's orbit has made possible a correct determination of Hermione's mass. For the best-fit "snowman" model, the density is found to be 1.8 ± 0.2 g/cm³. This gives a porosity of the order of 20%. This could be because the main asteroids are fractured solid bodies, but not a rubble pile (an asteroid that has been broken up by a collision and pulled back together by gravity).
Occultations by Hermione have been successfully seen three times so far, the last time in February 2004.
A moon of Hermione was found in 2002 with the Keck II telescope. The moon is currently called S/2002 (121) 1. It has not yet been officially named, but the name "LaFayette" has been suggested by a group of astronomers. This is after the ship used in secret by the Marquis de Lafayette to reach America to help the Americans during the American Revolutionary War.