Periodic solutions for the elliptic planar restricted three body problem: A variational approach
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We outline a variational approach, developed to find periodic orbits of the satellite in the elliptic restricted problem with any value of the masses of the primaries. This approach leads to a multiplicity of generalized periodic solutions (namely solutions x which satisfy a boundary condition: x(T) = x(0) and which possibly experience collisions). Those solutions are uniform limits of classical periodic solutions, having a prescribed rotational behaviour with respect to the primaries, of some suitable approximating problems.