Abstract
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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Maciejewski, A.J., Goździewski, K. Normalization algorithms of Hamiltonian near an equilibrium point. Astrophys Space Sci 179, 1–11 (1991). https://doi.org/10.1007/BF00642349
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DOI: https://doi.org/10.1007/BF00642349