1. The problem statement, all variables and given/known data There is no general analytical solution for the motion of a three-body gravitational system. However, there do exist analytical solutions for very special initial conditions. The figure below (see attachment) shows three stars, each of mass m, which move in a two-dimensional plane along a circle of radius r. Calculate how long this system takes to make one complete revolution. (In many cases, three-body orbits are not stable: any slight perturbation leads to a breakup of the orbit.) 2. Relevant equations This course focuses heavily on the Momentum Principle. mv2/R=GMm/R2 v=(GM/R)1/2 v=(2(pi)R)/T (2(pi)R)/T=(GM/R)1/2 where T is the time it takes to complete one complete revolution. 3. The attempt at a solution I thought you could just replace Mm with m3 since the stars all have equal mass and then solve for T, but it's not in the answer choices. The answer is one of the choices in the attachment.