  We present the results of a numerical search for periodic orbits of three
equal masses moving in a plane under the influence of Newtonian gravity, with
zero angular momentum. A topological method is used to classify periodic
three-body orbits into families, which fall into four classes, with all three
previously known families belonging to one class. The classes are defined by
the orbits geometric and algebraic symmetries. In each class we present a few
orbits initial conditions, 15 in all; 13 of these correspond to distinct
orbits.
