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Solutions of the Sitnikov restricted four body problem have been found when all the primaries are sources of radiation. We have found the averaged Hamiltonian of the system and its solution in term of Elliptic integrals. Using Lindstedt-Poincare method, we have obtained the solutions of Hills equation. By using Courant and Snyder transformation we have solved the Harmonic oscillator type equation, transformed by Hills Equation. As we are dealing with the elliptic case of the Sitnikov four body problem, the Equation [2.53] is unperturbed system. There is the perturbation in the z-direction as...