The paper ``Periodic brake orbits in the planar isosceles three-body problem"
proves the existence of six infinite families of periodic orbits in the isosceles three-body problem.

A brake orbit is a solution to the three-body problem for which, at some instant called a ``brake time",
all three bodies have zero velocity.
Below are representative orbits from each family.

Type 1 with n=2.   Collinear at T/4.
Have n binary collisions before T/4.
Type 3 with n=2. Collinear at T/4.
Have n binary collisions before T/4.
Type 5 with i=1,j=2. Have a brake time at t=0,T/2.  
Have i/j binary collisions before/after a collinearity.
Type 2 with n=2. Binary collision at T/4.
Have n binary collisions before T/4.
Type 4 with n=2. Binary collision at T/4.
Have n binary collisions before T/4.
Type 6 with i=1,j=2. Have a brake time at t=0,T/2.
Have i+1+j binary collisions in T/2.