If all you're interested in is the motions of the Galilean moons, you choose the Jovian barycentre for origin, because then everything will be nice. (realclimate.org)
At galactic scales, matter within branes will have a range of distributions of orbits and velocities about a given barycentre. (newscientist.com)
I Melograni del Chianti farm holiday residence is located in the Tuscan hills, in the small medieval town of Talciona, a perfect barycentre in between the biggest cities of art in Tuscany: Florence, Siena, Volterra and San Gimignano. (theholidaylet.com)