Stability of the triangular libration points in the photogravitational restricted circular three-body problem

In the case where the mass of the radiating body (such as the sun) is much smaller than the mass of the other main gravitating body (such as the galactic nucleus), the triangular libration points in the plane photogravitational restricted circular three-body problem will be Lyapunov-stable almost everywhere within the region in which the necessary stability conditions are satisfied. Instability will, however, occur on the curves corresponding to the inner third- and fourth-order resonances