With some symmetry you can find a couple of solutions, which is what Laplace and Lagrange did. e.g. http://www.phys.lsu.edu/faculty/gonzalez/Teaching/Phys7221/T

With some symmetry you can find a couple of solutions, which is what Laplace and Lagrange did. e.g. http://www.phys.lsu.edu/faculty/gonzalez/Teaching/Phys7221/ThreeBodyProblem.pdf http://www.phys.lsu.edu/faculty/gonzalez/Teaching/Phys7221/T... The scholarpedia article is a good meta-reference:http://www.scholarpedia.org/article/Three_body_problem http://www.scholarpedia.org/article/Three_body_problem