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We consider a Hamiltonian system possessing a non-degenerate normally hyperbolic symplectic critical manifold M and prove an analog of Shilnikov lemma(or strong λ-lemma).We use it to show that certain chains of heteroclinic orbits to M can be shadowed by a trajectory with energy H close to H|M.This is a generalization of a theorem of Shilnikov and Turayev.Applications to the Poincar′e second species solutions of the 3-body problem will be given.The talk is based on [1,2].