Normalization algorithms of Hamiltonian near an equilibrium point

Statistics – Computation

Scientific paper

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Algorithms, Computational Astrophysics, Equilibrium Equations, Hamiltonian Functions, Orbital Mechanics, Gravitational Effects, Libration, Linear Transformations, Three Body Problem

Scientific paper

Algorithms of linear and nonlinear normalization of a Hamiltonian system
near an equilibrium point are described. They were applied to
determination of stability libration point in photogravitational
restricted problem and to refinement of periodic orbits in the
restricted three body problem.

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