Inselsberg is a member of the Gefion family (516), a large intermediate belt family, named after 1272 Gefion It orbits the Sun in the central asteroid belt at a distance of 2.5-3.0 AU once every 4 years and 8 months (1,695 days; semi-major axis of 2.78 AU). Its orbit has an eccentricity of 0.09 and an inclination of 9° with respect to the ecliptic. The body's observation arc begins with a precovery taken at Palomar Observatory in May 1954, or 6 years prior to its official discovery observation.