  Numerical solutions are presented for a family of finite angular momentum
orbits with three equal masses which connects the classical circular Lagrange
orbit with the recently discovered planar figure eight orbit. Each member of
this family is a periodic orbit in a frame rotating around the horizontal
symmetry axis of the figure eight orbit. Numerical evidence is given that this
family is a continuous function of the angular rotation frequency. Similar
numerical solutions are also found for n>3 equal masses, where n is an odd
integer. Finite angular momentum orbits also have been obtained for rotations
along the two other symmetry axis of the figure eight orbit. The stability of
these orbits is examined numerically without the restriction to a linear
approximation.
