The photogravitational three-body problem: The approximation of the collinear equilibria in a simple compact form (Q1331342)

The existence, location and stability of the stationary solutions of the three-body problem, in case where the radiation pressure is further taken into consideration (the photo-gravitational three-body problem), have been extensively discussed, particularly in the last two decades. In most of papers authors follow a presentation and notation similar to that used in the very known monograph by V. Szebehely (1967) for the classical three-body. Authors often introduce the radiation pressure of the primaries and then accordingly modify the original formulation. In the present article the author is proceeding in the similar way gives approximately the collinear stationary solutions for a weak radiation in a simple compact form.