A method of symplectic integrations with adaptive time-steps for individual Hamiltonians in the planetary N-body problem

A method of symplectic integrations with adaptive time-steps for individual Hamiltonians in the planetary N-body problem

A new algorithm is developed for long-term integrations of the N-body problem. The method uses symplectic integrations of the Hamiltonian equations of motion for each body. This allows one to employ individual adaptive time-steps in computations. The efficiency of this technique is demonstrated by s...

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Veröffentlicht in:Celestial mechanics and dynamical astronomy 2007-07, Vol.98 (3), p.191-202
1. Verfasser: Emel'yanenko, Vacheslav Vasilievitch
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Meteorology
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Zusammenfassung:A new algorithm is developed for long-term integrations of the N-body problem. The method uses symplectic integrations of the Hamiltonian equations of motion for each body. This allows one to employ individual adaptive time-steps in computations. The efficiency of this technique is demonstrated by several tests performed for typical problems of Solar System dynamics.[PUBLICATION ABSTRACT]
ISSN:0923-2958
1572-9478
DOI:10.1007/s10569-007-9077-6