Existence of formal integrals of symplectic integrators (Q1363155)

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scientific article; zbMATH DE number 1049364
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Existence of formal integrals of symplectic integrators
scientific article; zbMATH DE number 1049364

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    Existence of formal integrals of symplectic integrators (English)
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    12 March 1998
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    The authors give a recurrent method of solving the formal integrals of some symplectic integrators. In the particular case of the \(N\)-body problem they construct explicitly a symplectic integrator which also preserves the energy and the classical integrals of motion, i.e., the components of the angular momentum.
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    formal integrals
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    \(N\)-body problem
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    symplectic integrators
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