10645 Brač

10645 Brač, provisional designation, is a stony Eunomia asteroid from the central region of the asteroid belt, approximately 10 kilometers in diameter. It was discovered on 14 March 1999, by Croatian astronomer Korado Korlević at Višnjan Observatory, and named after the Croatian island of Brač.

Classification and orbit
The asteroid is a member of the Eunomia family, a large group of S-type asteroids and the most prominent family in the intermediate main-belt. It orbits the Sun at a distance of 2.2–3.1 AU once every 4 years and 4 months (1,583 days). Its orbit has an eccentricity of 0.18 and an inclination of 13° with respect to the ecliptic. The first precovery was taken at the U.S. Goethe Link Observatory in 1962, extending the asteroid's observation arc by 37 years prior to discovery.

Physical characteristics
In October 2014, photometric observations by Italian astronomer Silvano Casulli gave a rotational lightcurve with a period of $10.26$ hours and a brightness amplitude of 0.31 in magnitude (U=3-). Three weeks later, a second lightcurve was obtained at the U.S. Etscorn Campus Observatory in New Mexico, rendering a concurring period of $2.785$ with an identical variation in brightness (U=3-).

According to the survey carried out by NASA's space-based Wide-field Infrared Survey Explorer with its subsequent NEOWISE mission, the asteroid measures 10.3 kilometers in diameter and its surface has an albedo of $2.786$, while the Collaborative Asteroid Lightcurve Link assumes an albedo of 0.21 and calculates a diameter of 9.6 kilometers. A large-scale survey by Pan-STARRS (PS1) assigns an LS-type, an intermediary spectral type between the common, stony S-types and the rather rare and reddish L-type asteroids.

Naming
This minor planet was named after the Croatian island of Brač, the largest Dalmatian island in the Adriatic Sea, and the place where the Blaca hermitage Observatory is located. The approved naming citation was published by the Minor Planet Center on 15 December 2005 (M.P.C. 55720).