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3rd Austrian Hungarian Workshop

Karl Wodnar

A Poincaré mapping approximation for the restricted three-body problem


A formerly found method for the construction of exactly symplectic approximations of Poincare-Maps (Wodnar 1996, unpublished), based on the implicit generating function formalism, is being applied to some suitable form of the Hamiltonian of the Restricted Three-Body Problem. Comparison with other methods and the results of numerical integrations as well as some considerations on fixed points and their stability are intended along with problems of astronomical relevance (eg. the Trojans).