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Extensive N-body simulations are among the key means for the study ofnumerous astrophysical and cosmological phenomena, so various schemes aredeveloped for possibly higher accuracy computations. We demonstrate theprincipal possibility for revealing the evolution of a perturbed Hamiltoniansystem with an accuracy independent on time. The method is based on the Laplacetransform and the derivation and analytical solution of an evolution equationin the phase space for the resolvent and using computer algebra.

A principal possibility for computer investigation of evolution of dynamical systems with independent on time accuracy