In this work, the Hamiltonian of the four-body problem is considered under\nthe effects of solar radiation pressure. The equations of motion of the infinitesimal\nbody are obtained in the Hamiltonian canonical form. The libration\npoints and the corresponding Jacobi constants are obtained with different\nvalues of the solar radiation pressure coefficient. The motion and its stability\nabout each point are studied. A family of periodic orbits under the effects of\nthe gravitational forces of the primaries and the solar radiation pressure are\nobtained depending on the pure numerical method. This purpose is applied\nto the Sun-Earth-Moon-Space craft system, and the results obtained are in a\ngood agreement with the previous work such as (Kumari and Papadouris,\n2013).
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