Existence of formal integrals of symplectic integrators

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1995 English Publisher:Springer Science and Business Media LLCJournal:Celestial Mechanics & Dynamical Astronomy, volume 63, pages 113-123 (issn: 0923-2958, eissn: 1572-9478,

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Authors: Liao, Xinhao; Liu, Lin;

doi: 10.1007/bf00691918

Existence of formal integrals of symplectic integrators

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Abstract

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.

Related Organizations

Nanjing University
China (People's Republic of)
Nanjing University
China (People's Republic of)

Keywords

formal integrals, symplectic integrators, \(N\)-body problem, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, \(n\)-body problems

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